GAMM summaries and diagnostics for Diphthong Dynamics under Lexical Tone: Cross-Dialectal Evidence for Category-Specific f0–F1 Coupling

1 Model summaries and gam.check results

1. XA_F1_2Diph_NoAsp_Overall_baseline

2. TJ_F1_2Diph_NoAsp_Overall_baseline

3. XA_f0_2Diph_NoAsp_Overall_baseline_AR1

4. TJ_f0_2Diph_NoAsp_Overall_baseline_AR1

5. XA_F1_f0_Optimized_AR1

6. TJ_F1_f0_Optimized_AR1

7. XA_F1_2Diph_NoAsp_Overall_baseline_notZ

8. TJ_F1_2Diph_NoAsp_Overall_baseline_notZ

9. XA_f0_2Diph_NoAsp_Overall_baseline_notZ_AR1

10. TJ_f0_2Diph_NoAsp_Overall_baseline_notZ_AR1

11. XA_F1_f0_Optimized_notZ_AR1

12. TJ_F1_f0_Optimized_notZ_AR1

library(mgcv)

1.1 Dataframes for the gamm modelling

load("Xian_data_JASA.rda")
load("Tianjin_data_JASA.rda")

head(Xian_data)

head(Tianjin_data)

1.2 XA_F1_2Diph_NoAsp_Overall_baseline

XA_F1_2Diph_NoAsp_Overall_baseline <- readRDS("XA_F1_2Diph_NoAsp_Overall_baseline.rds")

save(Xian_data, file = "Xian_data_JASA.rda")
save(Tianjin_data, file = "Tianjin_data_JASA.rda")

gam.check(XA_F1_2Diph_NoAsp_Overall_baseline)

Method: fREML   Optimizer: perf chol
$grad
 [1]  9.092425e-08  3.864296e-07 -2.250179e-07  3.054754e-07 -2.678209e-07 -7.221660e-08 -3.708297e-07 -3.888242e-06 -3.889497e-07 -7.359558e-05
[11]  5.763566e-07  1.735634e-07 -2.017290e-04  6.371923e-07  3.962102e-07  3.184470e-07 -7.659526e-05 -2.634299e-09  8.363776e-10  1.030411e-08
[21]  5.028963e-08 -5.424632e-09 -3.713741e-08 -3.054570e-10  1.114083e-08  2.348759e-09  3.418199e-08 -4.489493e-10 -2.197107e-08  3.029236e-09
[31]  1.162225e-08  9.728396e-10 -9.059002e-08  1.108502e-08 -4.587469e-08 -2.531753e-09 -5.537005e-07  6.268751e-09 -6.996075e-09  2.223087e-09
[41]  5.499997e-08 -3.750209e-10  1.507342e-08 -1.365782e-09 -2.182367e-08  7.388330e-10 -2.356352e-07  3.209703e-09  5.657988e-09  1.692820e-09
[51] -9.931544e-09  3.006575e-09 -1.596491e-08 -2.318627e-09 -8.397338e-07  7.606699e-09 -4.737574e-07  2.565210e-08  4.100707e-07 -1.659939e-10
[61] -2.591388e-07 -4.732303e-10 -8.543871e-07 -2.207053e-09  5.169381e-06

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]         [,10]
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  -2.020834e-02  9.107860e-03  1.975142e-03  8.705243e-01  4.030672e-02  4.950154e-02  7.010066e-03 -8.457150e-03  4.859835e-02 -2.496538e-05
   3.800857e-02  1.517714e-02 -4.789173e-03  4.030672e-02  2.065349e+00 -5.060861e-02 -8.280240e-02  8.547305e-03 -3.088069e-02 -1.757593e-05
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          [,11]         [,12]         [,13]         [,14]         [,15]         [,16]         [,17]         [,18]         [,19]         [,20]
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   3.940599e-02  4.452203e-02 -2.525210e-05  2.189533e-02  1.375759e-02  4.235021e-02 -1.127807e-07 -8.895541e-04  3.141165e-02 -1.276171e-02
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  -2.022201e-02 -5.689400e-03  3.524356e-05 -2.318125e-02 -1.201118e-02 -1.052212e-02 -2.268452e-09  7.616310e-05 -2.405082e-05 -3.937638e-04
   1.279233e-01  1.640183e-02 -8.916655e-05  3.946493e-02  3.238973e-02  2.632149e-02  5.282713e-08 -8.403169e-04  7.981687e-03  1.713743e-04
   4.873128e-05  6.028289e-05 -2.570932e-07  9.070267e-05 -2.972935e-06  3.667476e-05  5.717607e-10  4.293853e-07  7.368188e-06 -2.169629e-07
   1.230043e+00 -3.622910e-02  1.166592e-04 -6.176481e-02 -5.233402e-02 -5.072585e-02 -7.085446e-08  6.680258e-04 -1.153442e-02 -1.188398e-03
  -3.622910e-02  2.419852e+00  4.055823e-05 -3.530713e-02 -2.467009e-02 -6.293894e-02  5.467177e-08  3.817976e-04 -2.266609e-02 -1.312541e-03
   1.166592e-04  4.055823e-05  2.012666e-04  1.116256e-04  2.741567e-04  7.191352e-05  2.582231e-10 -4.933296e-07 -1.130824e-07  1.935874e-06
  -6.176481e-02 -3.530713e-02  1.116256e-04  1.598027e+00 -4.334990e-02 -1.594473e-01 -5.442940e-08 -1.380019e-04 -1.205255e-02 -9.031725e-04
  -5.233402e-02 -2.467009e-02  2.741567e-04 -4.334990e-02  1.813317e+00 -3.832891e-02  1.076197e-07 -9.489031e-04  6.926207e-04 -7.260304e-04
          [,21]         [,22]         [,23]         [,24]         [,25]         [,26]         [,27]         [,28]         [,29]         [,30]
  -1.623773e-01 -5.251567e-02  9.134837e-02  3.388122e-06 -2.506995e-03  7.351634e-06 -2.933490e-03 -1.747965e-05 -9.151048e-03 -2.191360e-06
   4.395276e-03 -1.410332e-03  1.139156e-02  1.132790e-04  6.494931e-02 -5.197280e-05 -3.690948e-03  3.323458e-05  1.336172e-02 -3.868305e-04
   3.600376e-03  8.815143e-05  1.191073e-02 -3.706101e-05  5.629526e-03  3.837874e-05  1.076795e-02  2.397563e-03 -1.985590e-03 -1.016756e-04
   2.692055e-02 -5.520242e-03  3.412281e-02  1.288638e-05  2.301567e-02 -4.536584e-06 -7.781993e-03 -1.286043e-05  1.929519e-01 -1.394573e-06
   6.285221e-02 -2.854074e-03 -2.379259e-03 -6.432839e-06 -2.726973e-03  4.348782e-06  5.680236e-03 -3.038612e-05  7.510147e-03  1.193489e-05
   7.386763e-02 -3.432010e-03 -7.142325e-03 -9.823297e-05  3.492901e-04  1.653671e-05  5.000769e-03  1.559878e-05  1.275614e-02 -2.202875e-05
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  -1.527437e-03  1.721813e-04  1.562337e-03  1.092498e-05 -3.370326e-04 -9.007434e-05 -1.096838e-03  1.740812e-05  1.315279e-03 -1.188251e-04
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   4.353270e-03  1.774287e-03 -1.176532e-02  1.091992e-04  5.007308e-04 -1.174440e-05 -9.628729e-03 -2.134142e-04 -8.300537e-03 -6.308021e-05
   1.104898e-02 -7.382816e-04  3.027181e-03 -4.687577e-05 -6.781132e-03  1.041355e-05 -4.582350e-03 -6.207875e-06 -1.645286e-02  2.820247e-06
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          [,31]         [,32]         [,33]         [,34]         [,35]         [,36]         [,37]         [,38]         [,39]         [,40]
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          [,51]         [,52]         [,53]         [,54]         [,55]         [,56]         [,57]         [,58]         [,59]         [,60]
   2.744000e-03 -1.136626e-05  2.163861e-03  2.932772e-05  4.723479e-02  2.743124e-05  5.861498e-03 -9.823575e-05 -2.322384e-03 -3.448946e-05
  -2.624012e-03 -2.010448e-04 -3.776795e-03  3.997122e-05  6.570735e-02 -1.579678e-03  3.016617e-02  2.845697e-04  5.684141e-03  9.024336e-05
  -2.965962e-04  2.637123e-04 -3.814833e-03  1.840415e-04 -3.085464e-02  4.484993e-03  1.961717e-03 -9.373390e-05 -6.812288e-03  3.709548e-05
   4.474062e-03 -1.545906e-05  8.904536e-04  3.003134e-05  6.104521e-03  8.101385e-05 -2.183603e-02  1.517748e-05 -6.413792e-02  2.433919e-05
  -1.073968e-03  7.948276e-05 -3.127229e-04 -1.579145e-05  2.217453e-01  1.623225e-04  5.811132e-02  3.406599e-04  8.169846e-02  1.006431e-04
  -3.463049e-03 -5.600179e-05  6.393635e-04 -2.562435e-05  1.691143e-01 -2.715111e-04 -6.249434e-02 -4.601097e-04  2.242796e-02  2.500459e-05
   2.048499e-03  3.005702e-04  3.987946e-03  1.006841e-04  1.580906e-01  1.061757e-04  1.673548e-02  1.356977e-03  5.146698e-02  1.616122e-05
   2.880392e-04 -1.159998e-04  5.669033e-04  9.043098e-05  4.267735e-02 -3.051890e-04  1.858340e-02 -9.902222e-04 -1.313606e-02  5.779478e-06
  -3.259958e-03  7.026780e-05 -1.135749e-03 -1.098703e-04 -7.464282e-02 -6.654921e-04 -1.376698e-02 -6.699487e-05 -1.743181e-02 -1.302952e-04
   2.816366e-06  7.214039e-07 -4.583411e-08 -2.963608e-07 -2.694642e-05 -6.888796e-06 -5.150686e-05 -6.627181e-07  6.618810e-05 -4.398991e-07
   1.318392e-03 -9.904649e-05 -2.612856e-04  1.614250e-04 -3.019379e-02  1.099828e-03  8.049530e-03  1.181987e-04 -1.071167e-02  2.360000e-04
  -7.290215e-04 -6.669435e-05 -7.616672e-03  2.469250e-05 -8.833753e-02  6.138591e-04  1.560719e-02  6.995868e-05 -5.138681e-02  2.036170e-05
   1.981838e-05 -2.486532e-06 -1.293060e-06 -1.686889e-07  2.219431e-04 -1.330940e-05  2.312058e-05 -4.513791e-07 -9.261053e-05 -8.694507e-07
  -1.455111e-03 -4.716089e-04 -3.409133e-02  1.183101e-03  1.803590e-01 -5.156513e-04  9.057117e-02  3.943878e-04  5.115853e-02  9.245056e-06
  -4.285917e-03  2.731520e-04  3.212116e-04  2.535847e-05 -2.376701e-01  3.385734e-03 -3.478373e-02  1.454235e-04  2.366050e-02  1.849984e-04
          [,61]         [,62]         [,63]         [,64]         [,65]
  -6.602644e-03 -5.869457e-05 -4.515793e-02 -4.009318e-05 -4.356396e+00
  -4.847727e-03  3.412077e-03 -1.189784e-02 -5.150632e-04 -2.269403e+00
  -2.009936e-02 -2.934245e-04 -1.353551e-02  2.435164e-04 -1.068355e+00
  -1.128710e-03  1.317619e-04  7.453733e-02 -3.868197e-05 -1.777201e+00
   5.186160e-02  4.013794e-04  2.497163e-02  3.262213e-04 -2.431405e+00
  -2.882635e-02 -1.495257e-04  4.674865e-02 -3.583455e-04 -2.585514e+00
  -3.501811e-03  1.604112e-03  3.711280e-02  1.371227e-03 -1.338081e+00
   8.867682e-03  2.529970e-05  4.107116e-02  8.939540e-05 -1.771015e-01
  -9.995446e-03 -6.495321e-04  4.731263e-02  2.937806e-04 -2.147969e+00
   3.940220e-05 -2.640151e-06  4.913338e-05 -1.208040e-06 -8.962617e-04
  -1.430800e-02  1.037268e-03  4.901478e-03 -6.068572e-04 -1.520416e+00
  -2.069730e-02  1.572797e-04  6.597124e-02  1.551911e-04 -3.016986e+00
   5.009164e-05  1.238226e-06  9.885239e-05  9.324797e-07 -1.021238e-03
  -4.620799e-02 -1.530868e-04 -4.648007e-02 -5.946353e-04 -1.644537e+00
  -3.811684e-02 -1.355357e-04 -1.231817e-02 -8.781643e-04 -1.866245e+00
 [ reached 'max' / getOption("max.print") -- omitted 50 rows ]

Model rank =  6226 / 6226 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                        k'    edf k-index p-value
s(measurement.no)                                    10.00   9.71    1.02    0.95
s(measurement.no):ToneVarDiphInt.ord1 SM aw          10.00   5.54    1.02    0.96
s(measurement.no):ToneVarDiphInt.ord1 XA aj          10.00   3.14    1.02    0.95
s(measurement.no):ToneVarDiphInt.ord1 XA aw          10.00   4.55    1.02    0.96
s(measurement.no):ToneVarDiphInt.ord2 SM aj          10.00   5.86    1.02    0.95
s(measurement.no):ToneVarDiphInt.ord2 SM aw          10.00   6.17    1.02    0.95
s(measurement.no):ToneVarDiphInt.ord2 XA aj          10.00   3.68    1.02    0.96
s(measurement.no):ToneVarDiphInt.ord2 XA aw          10.00   1.35    1.02    0.95
s(measurement.no):ToneVarDiphInt.ord3 SM aj          10.00   5.30    1.02    0.97
s(measurement.no):ToneVarDiphInt.ord3 SM aw          10.00   1.00    1.02    0.96
s(measurement.no):ToneVarDiphInt.ord3 XA aj          10.00   4.04    1.02    0.96
s(measurement.no):ToneVarDiphInt.ord3 XA aw          10.00   7.03    1.02    0.96
s(measurement.no):ToneVarDiphInt.ord4 SM aj          10.00   1.00    1.02    0.95
s(measurement.no):ToneVarDiphInt.ord4 SM aw          10.00   4.29    1.02    0.96
s(measurement.no):ToneVarDiphInt.ord4 XA aj          10.00   4.73    1.02    0.96
s(measurement.no):ToneVarDiphInt.ord4 XA aw          10.00   6.24    1.02    0.94
s(measurement.no):order.ordX                         10.00   1.00    1.02    0.95
s(measurement.no):sex.ordM                           10.00   4.60    1.02    0.96
s(measurement.no):leftSegment.ordn                   10.00   6.93    1.02    0.95
s(measurement.no):leftSegment.ordp                   10.00   8.89    1.02    0.97
s(measurement.no):leftSegment.ordt                   10.00   8.17    1.02    0.97
s(measurement.no):type.ord2                          10.00   6.12    1.02    0.94
s(measurement.no,speaker)                           264.00 199.09    1.02    0.97
s(measurement.no,speaker):ToneVarDiphInt.ord1 SM aw 264.00 109.35    1.02    0.94
s(measurement.no,speaker):ToneVarDiphInt.ord1 XA aj 264.00  85.97    1.02    0.95
s(measurement.no,speaker):ToneVarDiphInt.ord1 XA aw 264.00  76.25    1.02    0.94
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aj 264.00  83.34    1.02    0.96
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aw 264.00  94.90    1.02    0.94
s(measurement.no,speaker):ToneVarDiphInt.ord2 XA aj 264.00  81.60    1.02    0.95
s(measurement.no,speaker):ToneVarDiphInt.ord2 XA aw 264.00  97.51    1.02    0.93
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aj 264.00 154.38    1.02    0.96
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aw 264.00 107.08    1.02    0.97
s(measurement.no,speaker):ToneVarDiphInt.ord3 XA aj 264.00  94.89    1.02    0.97
s(measurement.no,speaker):ToneVarDiphInt.ord3 XA aw 264.00  65.18    1.02    0.97
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aj 264.00 115.06    1.02    0.96
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aw 264.00  70.23    1.02    0.97
s(measurement.no,speaker):ToneVarDiphInt.ord4 XA aj 264.00  72.99    1.02    0.95
s(measurement.no,speaker):ToneVarDiphInt.ord4 XA aw 264.00  95.11    1.02    0.94
s(measurement.no,character)                         352.00  96.58    1.02    0.96
s(measurement.no,character):sex.ordM                352.00  62.19    1.02    0.95
s(measurement.no,character):order.ordX              352.00  43.06    1.02    0.95
s(measurement.no,character):type.ord2               352.00  56.35    1.02    0.94
s(measurement.no,character):variety.ordXA           352.00  59.58    1.02    0.94

1.3 TJ_F1_2Diph_NoAsp_Overall_baseline

TJ_F1_2Diph_NoAsp_Overall_baseline <- readRDS("TJ_F1_2Diph_NoAsp_Overall_baseline.rds")

summary(TJ_F1_2Diph_NoAsp_Overall_baseline, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord) + s(measurement.no, character, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    character, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = sex.ord) + s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1, by = order.ord) + s(measurement.no, character, 
    bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, by = type.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1, by = variety.ord)

Parametric coefficients:
                           Estimate Std. Error t value Pr(>|t|)    
(Intercept)                0.035092   0.031883   1.101 0.271061    
ToneVarDiphInt.ord1 SM aw -0.314914   0.053908  -5.842 5.23e-09 ***
ToneVarDiphInt.ord1 TJ aj  0.356638   0.061913   5.760 8.49e-09 ***
ToneVarDiphInt.ord1 TJ aw -0.122112   0.051615  -2.366 0.017998 *  
ToneVarDiphInt.ord2 SM aj  0.142663   0.049049   2.909 0.003634 ** 
ToneVarDiphInt.ord2 SM aw -0.299057   0.047179  -6.339 2.35e-10 ***
ToneVarDiphInt.ord2 TJ aj  0.113760   0.065544   1.736 0.082638 .  
ToneVarDiphInt.ord2 TJ aw -0.303222   0.052581  -5.767 8.17e-09 ***
ToneVarDiphInt.ord3 SM aj  0.332468   0.064414   5.161 2.47e-07 ***
ToneVarDiphInt.ord3 SM aw -0.075123   0.056635  -1.326 0.184702    
ToneVarDiphInt.ord3 TJ aj  0.302247   0.057479   5.258 1.46e-07 ***
ToneVarDiphInt.ord3 TJ aw -0.178243   0.051748  -3.444 0.000573 ***
ToneVarDiphInt.ord4 SM aj  0.177479   0.055238   3.213 0.001315 ** 
ToneVarDiphInt.ord4 SM aw -0.156361   0.043064  -3.631 0.000283 ***
ToneVarDiphInt.ord4 TJ aj  0.120237   0.055673   2.160 0.030803 *  
ToneVarDiphInt.ord4 TJ aw -0.192605   0.050646  -3.803 0.000143 ***
order.ordT                 0.003104   0.020889   0.149 0.881879    
sex.ordM                  -0.041161   0.024592  -1.674 0.094185 .  
leftSegment.ordn          -0.004066   0.022768  -0.179 0.858273    
leftSegment.ordp          -0.203255   0.020476  -9.926  < 2e-16 ***
leftSegment.ordt          -0.155508   0.022927  -6.783 1.20e-11 ***
type.ord2                  0.085290   0.012385   6.886 5.85e-12 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                              edf Ref.df       F  p-value    
s(measurement.no)                           9.704  9.751 187.382  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 SM aw 6.124  6.989  14.016  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 TJ aj 3.530  4.321  10.501  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 TJ aw 6.094  7.072  15.456  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aj 4.307  5.193   3.874 0.001300 ** 
s(measurement.no):ToneVarDiphInt.ord2 SM aw 5.704  6.736  10.667  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 TJ aj 3.998  4.840   1.830 0.087021 .  
s(measurement.no):ToneVarDiphInt.ord2 TJ aw 4.959  5.779  12.221  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aj 4.592  5.032   6.912 1.42e-06 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aw 3.530  4.112   8.155 1.21e-06 ***
s(measurement.no):ToneVarDiphInt.ord3 TJ aj 5.766  6.348   8.671  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 TJ aw 4.646  5.400   4.911 0.000136 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aj 2.719  3.185   2.798 0.037244 *  
s(measurement.no):ToneVarDiphInt.ord4 SM aw 5.980  7.031  12.126  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 TJ aj 3.690  4.427   3.189 0.009558 ** 
s(measurement.no):ToneVarDiphInt.ord4 TJ aw 5.476  6.467  11.415  < 2e-16 ***
s(measurement.no):order.ordT                1.000  1.000   0.062 0.803235    
s(measurement.no):sex.ordM                  1.000  1.000   4.498 0.033936 *  
s(measurement.no):leftSegment.ordn          7.466  8.377   6.800  < 2e-16 ***
s(measurement.no):leftSegment.ordp          8.271  9.023   9.319  < 2e-16 ***
s(measurement.no):leftSegment.ordt          6.683  7.656  10.130  < 2e-16 ***
s(measurement.no):type.ord2                 5.293  6.691  61.982  < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.806   Deviance explained =   82%
fREML =  14303  Scale est. = 0.17033   n = 29513

gam.check(TJ_F1_2Diph_NoAsp_Overall_baseline)

Method: fREML   Optimizer: perf chol
$grad
 [1]  2.797524e-06 -1.271919e-07 -1.140800e-07 -8.956564e-08  1.163822e-07 -2.646411e-07  6.372675e-08 -3.558207e-07  4.127481e-07 -3.618312e-07
[11]  2.000473e-07 -3.963646e-07  6.741168e-07 -9.217116e-08  1.054245e-07 -1.279977e-07 -1.164046e-04 -1.034265e-04 -5.099435e-08  1.418901e-10
[21] -7.634957e-09 -3.345051e-08  3.069156e-06 -1.597729e-08 -1.167410e-05  1.693755e-07  8.424592e-06 -2.862918e-08 -2.145937e-06 -3.555106e-08
[31] -2.441745e-07  1.777623e-08 -7.427934e-06 -2.614870e-09  4.639942e-06 -1.943494e-08 -4.138928e-06 -8.150624e-08 -1.357980e-06 -1.626898e-07
[41] -1.323642e-05  1.480230e-08 -1.587544e-06 -5.538683e-07 -4.841935e-06 -7.924618e-08  6.901599e-06  2.115307e-07 -6.852875e-06 -2.647302e-08
[51]  2.142145e-05  1.375726e-09 -1.281984e-06 -2.524936e-08 -4.541065e-07  2.900743e-08  1.112111e-07 -4.742969e-08  7.151252e-06 -2.205132e-07
[61] -3.597353e-08  1.035086e-08 -9.061193e-08  5.585477e-08  1.117738e-04

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]         [,10]
   4.327767e+00 -3.520563e-02  1.330673e-03 -3.161786e-02  2.357290e-02  3.745092e-02  2.457993e-02 -1.051830e-02  2.308868e-02 -3.654875e-03
  -3.520563e-02  2.384398e+00  3.155502e-02 -8.602455e-02  5.794405e-02 -4.540307e-04  6.078764e-02 -6.549709e-02  4.741490e-02 -5.213514e-02
   1.330673e-03  3.155502e-02  9.440124e-01  3.557524e-02 -3.945640e-02  3.444787e-02 -3.340169e-02  4.232458e-02 -3.678911e-02  5.966596e-02
  -3.161786e-02 -8.602455e-02  3.557524e-02  2.364101e+00  4.488145e-02 -3.857234e-03  4.867759e-02 -3.730977e-02  6.044059e-02 -6.481014e-02
   2.357290e-02  5.794405e-02 -3.945640e-02  4.488145e-02  1.167456e+00  2.457656e-02 -1.847735e-01  6.124571e-02 -4.130208e-02  5.819220e-02
   3.745092e-02 -4.540307e-04  3.444787e-02 -3.857234e-03  2.457656e-02  1.084134e+00  1.603967e-02 -9.457642e-02  8.368923e-03 -6.200467e-02
   2.457993e-02  6.078764e-02 -3.340169e-02  4.867759e-02 -1.847735e-01  1.603967e-02  7.971099e-01  5.940290e-02 -4.002376e-02  4.806575e-02
  -1.051830e-02 -6.549709e-02  4.232458e-02 -3.730977e-02  6.124571e-02 -9.457642e-02  5.940290e-02  1.591300e+00  3.691685e-02 -7.149542e-02
   2.308868e-02  4.741490e-02 -3.678911e-02  6.044059e-02 -4.130208e-02  8.368923e-03 -4.002376e-02  3.691685e-02  1.672374e+00  5.480847e-02
  -3.654875e-03 -5.213514e-02  5.966596e-02 -6.481014e-02  5.819220e-02 -6.200467e-02  4.806575e-02 -7.149542e-02  5.480847e-02  7.872921e-01
   2.160776e-02  5.486486e-02 -3.271938e-02  4.964225e-02 -5.558961e-02  1.861350e-02 -5.347236e-02  4.935346e-02 -6.030432e-02  5.438576e-02
   2.379825e-02 -2.773720e-03  1.976145e-02  2.655583e-02  1.304394e-02 -4.782319e-02  5.650134e-03 -4.101069e-02 -6.619758e-03 -5.740633e-02
  -7.732068e-03 -4.738771e-03 -2.415546e-02 -1.949384e-02 -9.107651e-03  2.543339e-02  1.496138e-02  2.396567e-02 -1.643297e-02  1.645316e-02
  -4.298883e-02 -9.244820e-02  3.434789e-02 -7.532010e-02  6.957942e-02  6.353027e-04  7.594285e-02 -6.288481e-02  5.669207e-02 -6.017107e-02
   5.853865e-03  3.043260e-02 -6.264802e-02  6.709452e-02 -4.449817e-02  4.593122e-02 -2.345918e-02  3.994843e-02 -5.724112e-02  9.454903e-02
          [,11]         [,12]         [,13]         [,14]         [,15]         [,16]         [,17]         [,18]         [,19]         [,20]
   2.160776e-02  2.379825e-02 -7.732068e-03 -4.298883e-02  5.853865e-03 -4.332988e-02 -2.807367e-06 -2.380725e-06  1.053317e-01 -1.608462e-01
   5.486486e-02 -2.773720e-03 -4.738771e-03 -9.244820e-02  3.043260e-02 -7.614111e-02  1.275076e-07  2.422958e-08 -8.148163e-03 -8.259429e-04
  -3.271938e-02  1.976145e-02 -2.415546e-02  3.434789e-02 -6.264802e-02  3.893736e-02  1.144555e-07  6.800420e-09  1.217995e-02  5.745453e-03
   4.964225e-02  2.655583e-02 -1.949384e-02 -7.532010e-02  6.709452e-02 -8.637077e-02  8.983994e-08 -7.077096e-09 -3.158603e-02  1.780870e-03
  -5.558961e-02  1.304394e-02 -9.107651e-03  6.957942e-02 -4.449817e-02  6.436806e-02 -1.166310e-07 -1.120100e-09 -4.948682e-03 -8.928335e-04
   1.861350e-02 -4.782319e-02  2.543339e-02  6.353027e-04  4.593122e-02 -6.009740e-03  2.652401e-07  2.410826e-08  2.190429e-02 -5.807779e-03
  -5.347236e-02  5.650134e-03  1.496138e-02  7.594285e-02 -2.345918e-02  7.301214e-02 -6.387611e-08  6.772849e-09 -6.907076e-03 -8.046696e-04
   4.935346e-02 -4.101069e-02  2.396567e-02 -6.288481e-02  3.994843e-02 -6.245391e-02  3.566271e-07 -5.784576e-09  9.358630e-03  5.019080e-04
  -6.030432e-02 -6.619758e-03 -1.643297e-02  5.669207e-02 -5.724112e-02  6.239412e-02 -4.138641e-07 -7.439389e-09  1.051214e-02  1.940885e-03
   5.438576e-02 -5.740633e-02  1.645316e-02 -6.017107e-02  9.454903e-02 -6.761701e-02  3.627765e-07 -3.692419e-08  5.129997e-03  1.794673e-03
   2.039624e+00 -1.875565e-03  4.640237e-03  7.542980e-02 -4.533878e-02  6.553596e-02 -2.006294e-07  1.019917e-08  9.122819e-03  8.183283e-04
  -1.875565e-03  8.438185e-01  6.029443e-02  1.102380e-02 -1.128578e-02  4.214059e-03  3.971368e-07  1.089093e-09  1.953335e-02  4.128713e-03
   4.640237e-03  6.029443e-02  6.287981e-01 -1.912544e-02 -1.668707e-02 -5.697887e-03 -6.754331e-07  1.522728e-08 -3.553540e-03 -1.077091e-03
   7.542980e-02  1.102380e-02 -1.912544e-02  2.336313e+00  3.541167e-02 -1.860865e-01  9.238985e-08  3.184095e-09 -1.528749e-02 -3.319120e-03
  -4.533878e-02 -1.128578e-02 -1.668707e-02  3.541167e-02  8.432009e-01  4.129797e-02 -1.059397e-07 -5.952611e-09  6.680286e-04 -5.967706e-04
          [,21]         [,22]         [,23]         [,24]         [,25]         [,26]         [,27]         [,28]         [,29]         [,30]
  -1.468199e-01 -3.162302e-03  1.303331e-02 -1.618289e-07 -5.786648e-03  5.285565e-06 -1.047651e-02 -1.476857e-05 -2.218803e-03  9.625373e-06
   1.324224e-02  4.339936e-04  1.444338e-02  7.479766e-05 -1.818445e-03  1.065764e-04 -1.308029e-02 -2.245492e-05  2.741420e-02  2.159065e-04
   1.159143e-02 -8.975992e-04 -1.409084e-03  1.322846e-04 -4.241536e-03  4.175372e-05  6.205351e-02 -1.444773e-04 -3.353464e-03 -9.117880e-05
   1.255140e-02 -1.360446e-03  1.403357e-02  2.975003e-05 -3.425404e-02  2.053901e-05 -1.518220e-02 -3.183289e-05  3.211082e-02  1.445618e-04
   2.504441e-02 -2.052665e-03 -3.196466e-03  6.182318e-07  1.644577e-03  3.032872e-05  1.068095e-02 -2.927848e-05 -1.641849e-04 -2.076745e-05
   6.646245e-02  2.025344e-03  2.679844e-02  5.772690e-05  4.302387e-03  2.391154e-04  5.033460e-03 -3.446776e-05  5.376747e-03 -1.013817e-04
   2.007127e-02 -3.878946e-04 -2.566306e-03 -2.042884e-05  3.101771e-03  3.104674e-05  8.486761e-03 -6.795728e-05  7.415856e-04  7.350659e-06
  -4.098702e-03 -5.793327e-04  4.565555e-03 -3.602349e-04 -1.136529e-02  2.211693e-04 -7.154674e-03 -6.910715e-06  6.308411e-03 -3.935604e-05
  -4.612466e-03  2.822656e-04 -1.489146e-03 -8.584488e-06  3.778306e-03 -3.870479e-05  1.162684e-02  1.402137e-04  7.972340e-04 -6.110899e-05
  -5.234866e-03 -1.585593e-04  1.376883e-03  3.941402e-05 -3.017627e-03  2.131703e-05 -8.600178e-03 -1.071085e-04  2.320414e-03  6.502290e-05
  -4.765861e-03 -2.957134e-03 -5.696786e-04 -1.977259e-05  4.648166e-03 -1.426194e-05  9.540353e-03  5.921165e-05 -7.659914e-04 -5.260504e-05
  -1.170485e-02  1.871147e-03  2.248580e-04  6.572970e-05 -2.566113e-03  2.731518e-05  4.481339e-03 -1.124697e-04  5.149224e-03  5.214143e-05
   1.630002e-03  1.478234e-04 -1.243348e-02  3.948098e-05 -1.814273e-04 -5.080594e-05  7.563039e-03  6.754837e-04 -3.624344e-03 -4.434428e-05
   1.016113e-02  1.048284e-03  1.264563e-03  1.618065e-05 -7.028877e-03 -1.465544e-05 -1.752383e-02  3.972331e-05 -3.435037e-03  2.322869e-05
   1.248464e-03 -3.207516e-04 -1.740066e-03 -3.385172e-05 -1.884574e-03 -2.028936e-05  5.397977e-03  3.184192e-04  3.045302e-04 -2.530824e-05
          [,31]         [,32]         [,33]         [,34]         [,35]         [,36]         [,37]         [,38]         [,39]         [,40]
   2.590576e-03  1.426492e-05  1.109173e-02 -4.890933e-06  1.886734e-03 -9.861973e-06  4.243827e-03  5.756867e-06  1.621071e-02  2.740666e-06
   5.515268e-03 -7.922100e-06  2.690952e-03  7.941524e-05  3.832985e-03  4.785826e-05 -1.135882e-02  2.446719e-05  3.658721e-03  1.336070e-05
  -5.563765e-05  1.596603e-04  5.654711e-04  1.616537e-04  2.095512e-03 -3.326234e-05  5.303353e-04  5.623452e-05  3.908342e-03  1.782102e-05
  -1.509877e-04  1.563249e-05  3.360067e-03  3.646502e-05 -1.622336e-03 -6.856565e-06  7.189333e-03  1.025770e-05  1.630615e-02  1.310393e-05
   6.734692e-02 -1.095097e-03  7.422622e-04  6.320820e-05 -4.120013e-02  9.575197e-04  5.580577e-03  3.148523e-05 -2.783212e-04 -3.352048e-05
   1.155702e-03 -3.905165e-05  2.085120e-01 -5.126138e-04  1.958949e-04  4.575891e-05 -4.604082e-02  9.331903e-05 -2.026947e-02 -3.617577e-05
  -1.811801e-02 -6.746888e-04  7.235101e-04  4.694583e-05  5.946713e-02  4.908995e-04  7.973326e-03  2.493598e-05 -6.130585e-03 -1.659238e-05
   5.618569e-03 -8.066966e-05 -2.873800e-02  9.110805e-04  5.018939e-03  1.017537e-04  7.818157e-02  1.351461e-04 -2.666914e-03 -1.869274e-05
   3.759260e-05 -3.454948e-05 -2.028409e-03 -4.649267e-05 -3.332491e-04  2.991776e-05 -1.713888e-03 -1.595345e-05  5.446637e-02 -6.589985e-05
   3.082627e-03 -1.349268e-05 -6.032051e-03  2.033150e-05  2.705530e-04  2.974444e-05 -7.280864e-03  1.385862e-05 -1.878202e-03  5.657244e-06
  -6.117292e-03  7.611264e-06  2.318997e-03 -4.305492e-05 -3.658695e-03 -5.275836e-06  2.413882e-03 -6.496412e-06  1.378901e-02  1.224303e-04
   3.520782e-04 -1.818618e-05 -7.447376e-03  1.299310e-05  2.528302e-03  1.593359e-05 -9.032704e-03  6.758050e-06 -2.121275e-02 -2.329218e-05
   3.939886e-03 -1.700589e-06  3.591581e-04  4.820493e-05  2.227525e-03 -3.952542e-05 -6.420698e-03 -9.148568e-06  1.044820e-02  4.861840e-05
   6.429610e-03 -3.960730e-05  3.405317e-03 -5.498009e-05  3.570544e-03  4.094020e-05 -5.391659e-03 -1.701784e-05  1.077289e-02  1.488540e-05
  -1.824421e-03 -6.480821e-06  1.765637e-03  1.503577e-05  4.310184e-03 -1.643942e-05  2.116750e-03 -6.571420e-06 -5.140588e-03  1.468692e-05
          [,41]         [,42]         [,43]         [,44]         [,45]         [,46]         [,47]         [,48]         [,49]         [,50]
   2.208638e-02  3.709980e-06  1.135525e-03 -3.424905e-06  1.710769e-02 -4.298436e-06 -1.568346e-02  8.754076e-06 -3.155404e-03 -1.840311e-06
   2.815896e-03 -4.037455e-05  1.157545e-03  5.343932e-05 -2.370103e-03  6.557413e-06 -6.702446e-03  1.145967e-04 -4.164276e-03 -4.477904e-05
   1.788321e-02 -4.546709e-06 -1.133108e-04  1.881263e-05  6.949870e-03 -5.349254e-05 -5.101136e-03 -1.104570e-05 -4.218885e-03 -1.614350e-04
   3.966589e-03 -1.416702e-05  3.507051e-03  2.537586e-05  1.924096e-02 -6.431812e-06 -1.578808e-02  5.345851e-05 -1.185119e-03 -2.207240e-05
   6.190506e-03 -1.404451e-05 -5.452069e-03 -4.776003e-05  7.843110e-04 -2.370204e-08  3.436205e-03 -2.684518e-04 -4.649902e-04 -7.403470e-05
  -4.777396e-02  4.805938e-05  1.257607e-03 -2.194052e-05 -2.658294e-02  6.444825e-05  1.241118e-02  1.462427e-04  3.346054e-03  1.677562e-05
   2.889863e-03  2.272834e-06 -3.366977e-03 -1.930899e-05  5.529910e-04  1.313434e-05  8.043757e-03 -2.020635e-04 -2.503475e-04 -4.346445e-05
  -1.943042e-02  4.071239e-05  2.798932e-03  5.182324e-06 -1.086003e-02  8.782790e-05  1.100378e-04  2.147067e-04 -1.238234e-03 -1.339152e-07
  -2.095489e-03  1.056151e-05 -4.488973e-03  6.442974e-05 -1.024336e-02  1.495904e-05  2.808731e-03 -4.502089e-05  1.765920e-03  2.810512e-05
   1.425947e-01 -2.148114e-04  1.529922e-04  4.597172e-05 -3.512771e-02 -1.980220e-04  6.323794e-03  1.651991e-04  5.478742e-04 -4.295115e-05
   6.263545e-03  3.183938e-06  1.485433e-01  4.453924e-04 -6.887745e-03 -1.575655e-05  1.173789e-02 -6.686642e-05  5.103496e-03  3.012060e-05
  -5.880331e-02 -9.731393e-05 -6.192977e-03  2.322119e-05  2.315141e-01 -8.232018e-04  1.302404e-02  1.314687e-04  1.428257e-03 -1.519241e-05
   2.691517e-03 -1.241764e-05  1.012187e-02  5.815934e-05  5.029718e-03 -1.811657e-05  5.812573e-02  4.316151e-04 -8.839523e-04 -2.368741e-05
   6.652696e-03  9.635371e-07  1.159239e-02  4.472156e-05  1.147197e-02  2.309673e-05 -1.865720e-02  1.799454e-04 -1.311475e-02 -1.684012e-04
   1.920817e-02 -5.320968e-06  3.766751e-03  1.993926e-05  1.194830e-03 -6.593999e-06  5.448338e-02  1.024508e-04 -3.841646e-03 -3.747977e-06
          [,51]         [,52]         [,53]         [,54]         [,55]         [,56]         [,57]         [,58]         [,59]         [,60]
  -6.420453e-04  1.900579e-05 -8.427774e-03  2.590360e-06  2.995575e-02  4.275514e-06  1.052321e-04 -3.992393e-04  3.403861e-02  5.268869e-05
  -8.159079e-03  2.691124e-04 -2.704254e-03  7.517071e-05  5.708314e-02 -7.464895e-06  2.884375e-02 -1.673583e-03  4.499495e-02  3.981119e-04
   7.125991e-04  5.826646e-05 -2.391470e-03 -5.154455e-05  5.197436e-02 -1.289914e-04  5.648091e-02 -2.897987e-03  2.802142e-02  2.395973e-04
  -3.298929e-03  1.222833e-04 -6.902230e-03  3.181573e-05  8.344252e-02  9.334323e-06  1.312289e-01 -1.268602e-03  3.162297e-02  2.552683e-04
   6.045154e-03 -4.275573e-04  2.917160e-03  2.195345e-05  1.069950e-01 -6.544566e-05  5.681292e-03  1.242691e-03  1.025632e-01 -3.442528e-04
  -7.404211e-04  2.249637e-04  5.709933e-03 -1.368850e-04  7.407926e-02  2.527712e-05  1.412356e-01 -1.537730e-03  6.307064e-02  7.628651e-05
   7.041199e-03 -3.060936e-04  4.246583e-03  2.987058e-05  1.238032e-01 -3.492335e-05  2.780892e-02  5.340781e-04  1.102676e-01 -1.774573e-04
  -6.855692e-03  3.695091e-04 -9.906904e-04 -1.125471e-05  7.892627e-02 -4.670080e-05  2.320624e-01 -2.483430e-03  1.075411e-01 -7.790390e-05
  -1.707484e-03 -1.311787e-04  2.625691e-03 -3.847212e-05 -7.613007e-04 -4.849520e-05  1.198274e-02  2.432635e-03 -4.248319e-02 -3.854163e-04
   1.904547e-04  3.469593e-04 -7.716971e-05  3.994211e-05  1.111028e-01  5.713674e-05  1.548682e-01 -3.676937e-03  7.808964e-02  6.345165e-04
   1.185988e-03 -1.599605e-04  1.425030e-03 -4.027831e-05  1.188016e-02 -4.778111e-05  5.368285e-03  1.937167e-03 -3.537085e-02 -3.026177e-04
  -6.630539e-03  2.933953e-04  5.019889e-03  2.330361e-05  1.347387e-01  5.468413e-05  5.975158e-02 -3.024638e-03  1.313157e-01  5.175772e-04
  -4.147828e-02  6.497277e-04 -3.512568e-03  2.527453e-05  1.465783e-02 -2.078311e-04  5.285349e-02  7.530746e-03  6.811734e-02 -1.031800e-03
  -9.574238e-03  2.898214e-04 -3.922259e-03  8.259009e-05  1.017737e-01  4.289536e-05  1.121850e-01 -1.811619e-03  1.284068e-01  3.339728e-04
   5.379114e-02  3.155295e-04  1.541875e-03  2.887504e-06 -1.249369e-02 -4.724468e-05  2.834342e-03  3.581643e-03 -4.846316e-02 -4.859318e-04
          [,61]         [,62]         [,63]         [,64]         [,65]
   5.443448e-03 -9.002900e-06 -3.972822e-04  4.684548e-05 -4.352053e+00
   9.357883e-03  2.141451e-04 -7.788984e-04  2.060334e-04 -2.562095e+00
   2.069828e-03 -1.691040e-04  1.143420e-02  4.294455e-04 -1.264995e+00
   5.418156e-04  7.905976e-05  7.445792e-03  1.829866e-04 -2.547068e+00
   5.971972e-03 -4.032214e-04 -2.534879e-03 -1.493482e-04 -1.653703e+00
  -7.788542e-03 -3.141657e-04  1.300058e-03  1.964591e-04 -2.352100e+00
   1.038081e-02 -2.484863e-04  1.642356e-02 -7.314525e-05 -1.499045e+00
   7.433125e-03 -2.233199e-04  1.610847e-03  3.243749e-04 -1.979715e+00
  -5.111797e-03  5.418814e-05  1.315992e-04 -4.367062e-04 -1.796027e+00
  -1.224327e-02  1.719083e-05 -2.609779e-04  5.552052e-04 -1.265004e+00
  -5.553753e-03  1.122689e-04  6.144958e-03 -3.255564e-04 -2.383197e+00
  -1.503185e-02  3.434465e-05  1.261514e-02  4.637719e-04 -1.822989e+00
  -1.114237e-03  1.544700e-04  2.096850e-03 -1.845126e-03 -8.594142e-01
   5.738319e-03  5.746936e-06 -1.078720e-03  2.836482e-04 -2.490157e+00
  -1.276679e-03  1.019427e-04  1.565727e-03 -8.206555e-04 -1.344897e+00
 [ reached 'max' / getOption("max.print") -- omitted 50 rows ]

Model rank =  6116 / 6116 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                        k'    edf k-index p-value
s(measurement.no)                                    10.00   9.70    1.01    0.80
s(measurement.no):ToneVarDiphInt.ord1 SM aw          10.00   6.12    1.01    0.81
s(measurement.no):ToneVarDiphInt.ord1 TJ aj          10.00   3.53    1.01    0.84
s(measurement.no):ToneVarDiphInt.ord1 TJ aw          10.00   6.09    1.01    0.82
s(measurement.no):ToneVarDiphInt.ord2 SM aj          10.00   4.31    1.01    0.88
s(measurement.no):ToneVarDiphInt.ord2 SM aw          10.00   5.70    1.01    0.85
s(measurement.no):ToneVarDiphInt.ord2 TJ aj          10.00   4.00    1.01    0.85
s(measurement.no):ToneVarDiphInt.ord2 TJ aw          10.00   4.96    1.01    0.85
s(measurement.no):ToneVarDiphInt.ord3 SM aj          10.00   4.59    1.01    0.88
s(measurement.no):ToneVarDiphInt.ord3 SM aw          10.00   3.53    1.01    0.86
s(measurement.no):ToneVarDiphInt.ord3 TJ aj          10.00   5.77    1.01    0.89
s(measurement.no):ToneVarDiphInt.ord3 TJ aw          10.00   4.65    1.01    0.80
s(measurement.no):ToneVarDiphInt.ord4 SM aj          10.00   2.72    1.01    0.86
s(measurement.no):ToneVarDiphInt.ord4 SM aw          10.00   5.98    1.01    0.82
s(measurement.no):ToneVarDiphInt.ord4 TJ aj          10.00   3.69    1.01    0.81
s(measurement.no):ToneVarDiphInt.ord4 TJ aw          10.00   5.48    1.01    0.85
s(measurement.no):order.ordT                         10.00   1.00    1.01    0.81
s(measurement.no):sex.ordM                           10.00   1.00    1.01    0.82
s(measurement.no):leftSegment.ordn                   10.00   7.47    1.01    0.82
s(measurement.no):leftSegment.ordp                   10.00   8.27    1.01    0.86
s(measurement.no):leftSegment.ordt                   10.00   6.68    1.01    0.86
s(measurement.no):type.ord2                          10.00   5.29    1.01    0.86
s(measurement.no,speaker)                           264.00 195.67    1.01    0.85
s(measurement.no,speaker):ToneVarDiphInt.ord1 SM aw 264.00 117.84    1.01    0.85
s(measurement.no,speaker):ToneVarDiphInt.ord1 TJ aj 264.00  72.89    1.01    0.84
s(measurement.no,speaker):ToneVarDiphInt.ord1 TJ aw 264.00  86.81    1.01    0.83
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aj 264.00  67.43    1.01    0.84
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aw 264.00  74.68    1.01    0.85
s(measurement.no,speaker):ToneVarDiphInt.ord2 TJ aj 264.00  57.01    1.01    0.86
s(measurement.no,speaker):ToneVarDiphInt.ord2 TJ aw 264.00 108.83    1.01    0.82
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aj 264.00 181.80    1.01    0.84
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aw 264.00 117.04    1.01    0.82
s(measurement.no,speaker):ToneVarDiphInt.ord3 TJ aj 264.00 165.68    1.01    0.84
s(measurement.no,speaker):ToneVarDiphInt.ord3 TJ aw 264.00 112.22    1.01    0.82
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aj 264.00 112.44    1.01    0.85
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aw 264.00  70.13    1.01    0.87
s(measurement.no,speaker):ToneVarDiphInt.ord4 TJ aj 264.00  81.54    1.01    0.83
s(measurement.no,speaker):ToneVarDiphInt.ord4 TJ aw 264.00  71.84    1.01    0.81
s(measurement.no,character)                         330.00  47.28    1.01    0.91
s(measurement.no,character):sex.ordM                330.00  86.51    1.01    0.86
s(measurement.no,character):order.ordT              330.00  65.14    1.01    0.81
s(measurement.no,character):type.ord2               330.00  29.44    1.01    0.85
s(measurement.no,character):variety.ordTJ           330.00  22.34    1.01    0.84

1.4 XA_f0_2Diph_NoAsp_Overall_baseline

XA_f0_2Diph_NoAsp_Overall_baseline_AR1 <- readRDS("XA_f0_2Diph_NoAsp_Overall_baseline_AR1.rds")

summary(XA_f0_2Diph_NoAsp_Overall_baseline_AR1, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f0_10Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord) + s(measurement.no, character, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    character, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = sex.ord) + s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1, by = order.ord) + s(measurement.no, character, 
    bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, by = type.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1, by = variety.ord)

Parametric coefficients:
                           Estimate Std. Error t value Pr(>|t|)    
(Intercept)                1.059621   0.064174  16.512  < 2e-16 ***
ToneVarDiphInt.ord1 SM aw  0.009082   0.070932   0.128  0.89812    
ToneVarDiphInt.ord1 XA aj -1.954227   0.084380 -23.160  < 2e-16 ***
ToneVarDiphInt.ord1 XA aw -1.911294   0.083508 -22.887  < 2e-16 ***
ToneVarDiphInt.ord2 SM aj -1.505865   0.084089 -17.908  < 2e-16 ***
ToneVarDiphInt.ord2 SM aw -1.428226   0.079384 -17.991  < 2e-16 ***
ToneVarDiphInt.ord2 XA aj -1.448396   0.097359 -14.877  < 2e-16 ***
ToneVarDiphInt.ord2 XA aw -1.425953   0.077230 -18.464  < 2e-16 ***
ToneVarDiphInt.ord3 SM aj -2.147126   0.097856 -21.942  < 2e-16 ***
ToneVarDiphInt.ord3 SM aw -2.195694   0.082446 -26.632  < 2e-16 ***
ToneVarDiphInt.ord3 XA aj -1.100513   0.089323 -12.321  < 2e-16 ***
ToneVarDiphInt.ord3 XA aw -1.135660   0.091791 -12.372  < 2e-16 ***
ToneVarDiphInt.ord4 SM aj -0.927462   0.062439 -14.854  < 2e-16 ***
ToneVarDiphInt.ord4 SM aw -0.802950   0.084636  -9.487  < 2e-16 ***
ToneVarDiphInt.ord4 XA aj -0.343563   0.073959  -4.645 3.42e-06 ***
ToneVarDiphInt.ord4 XA aw -0.270488   0.087227  -3.101  0.00193 ** 
order.ordX                 0.066644   0.047156   1.413  0.15759    
sex.ordM                  -0.082341   0.049698  -1.657  0.09757 .  
leftSegment.ordn          -0.029860   0.048657  -0.614  0.53943    
leftSegment.ordp          -0.122148   0.044082  -2.771  0.00559 ** 
leftSegment.ordt          -0.130216   0.050147  -2.597  0.00942 ** 
type.ord2                 -0.080367   0.033855  -2.374  0.01761 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                              edf Ref.df      F p-value    
s(measurement.no)                           6.037  6.709  5.863 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 SM aw 1.000  1.001  3.481 0.06204 .  
s(measurement.no):ToneVarDiphInt.ord1 XA aj 5.494  6.685 32.411 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 XA aw 5.932  6.628 32.835 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aj 7.720  8.778 68.574 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aw 8.308  9.050 98.032 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 XA aj 6.803  7.818 32.922 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 XA aw 8.091  8.867 74.284 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aj 5.465  5.839 13.907 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aw 6.331  6.835 26.320 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 XA aj 7.817  8.175 58.048 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 XA aw 7.820  8.234 63.104 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aj 8.097  8.410 61.215 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aw 7.796  8.105 47.294 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 XA aj 2.328  2.820  1.765 0.20327    
s(measurement.no):ToneVarDiphInt.ord4 XA aw 3.062  3.669  2.563 0.04120 *  
s(measurement.no):order.ordX                1.002  1.003  3.129 0.07700 .  
s(measurement.no):sex.ordM                  5.643  6.319 14.314 < 2e-16 ***
s(measurement.no):leftSegment.ordn          1.001  1.002  9.279 0.00231 ** 
s(measurement.no):leftSegment.ordp          4.382  5.258  3.767 0.00167 ** 
s(measurement.no):leftSegment.ordt          7.210  8.139  6.556 < 2e-16 ***
s(measurement.no):type.ord2                 4.434  5.315  7.937 < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.821   Deviance explained = 83.8%
fREML = -1035.9  Scale est. = 0.093816  n = 23087

gam.check(XA_f0_2Diph_NoAsp_Overall_baseline_AR1)

Method: fREML   Optimizer: perf chol
$grad
 [1] -3.179534e-07 -1.172698e-04 -2.470803e-08  1.585036e-07  2.100264e-07  1.638523e-07  1.450343e-07  1.719258e-07  7.073591e-08 -5.751367e-09 -5.548950e-08 -8.863825e-08
[13] -3.797141e-08 -5.948234e-08 -2.145731e-07 -1.046725e-07 -1.188886e-04  2.197313e-07 -7.918511e-05  6.440176e-08 -1.621428e-07 -6.509804e-09 -2.170009e-06  5.821190e-08
[25] -8.246867e-05  1.316946e-06 -6.118891e-07 -5.319821e-08  3.579879e-07  9.954513e-08 -8.831960e-07  1.201230e-08 -4.723913e-06  8.440379e-08 -3.751983e-07  1.405204e-07
[37] -2.721652e-06  2.745209e-07  2.981865e-06 -1.288808e-07  1.569641e-06  1.414270e-08 -4.094252e-08  8.160065e-08 -2.324206e-07  4.812166e-08 -1.546931e-06 -8.613238e-08
[49]  6.936156e-07 -8.063082e-08 -1.977214e-04  1.875599e-07 -1.719381e-04  2.197219e-07  6.152079e-07 -6.820438e-09 -2.836689e-07 -1.444612e-08 -5.549748e-07  6.959564e-09
[61]  1.167629e-06 -4.659363e-08  1.211041e-07 -3.863928e-08  2.194795e-04

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]         [,10]         [,11]         [,12]
   1.978338e+00 -2.892987e-06 -1.753912e-02 -5.150212e-03  3.687251e-02  2.897400e-02  3.134936e-02  3.099940e-02 -5.411726e-02 -5.580328e-02  6.170338e-03 -5.956137e-03
  -2.892987e-06  1.172564e-04 -5.623235e-06 -1.608688e-05 -1.040732e-05 -1.014217e-05 -9.113670e-06 -9.627798e-06 -8.095676e-06 -7.249576e-06  1.623429e-06  2.254747e-06
  -1.753912e-02 -5.623235e-06  2.564889e+00 -8.228650e-03  4.695748e-03  5.021212e-03  1.100182e-02  6.999733e-03 -3.185530e-03 -7.092736e-03 -9.948068e-03 -8.666182e-03
  -5.150212e-03 -1.608688e-05 -8.228650e-03  3.045655e+00 -4.417372e-03 -3.907474e-03 -2.822875e-03 -2.806750e-03 -5.647882e-03 -6.961859e-03 -2.161713e-03 -1.479099e-03
   3.687251e-02 -1.040732e-05  4.695748e-03 -4.417372e-03  3.719317e+00 -3.545092e-02 -9.938292e-02 -3.590073e-02 -8.643108e-03 -9.841428e-03  1.718811e-02  1.439004e-02
   2.897400e-02 -1.014217e-05  5.021212e-03 -3.907474e-03 -3.545092e-02  4.026799e+00 -3.425900e-02 -7.999220e-02 -1.049323e-02 -1.053649e-02  1.941531e-02  1.646323e-02
   3.134936e-02 -9.113670e-06  1.100182e-02 -2.822875e-03 -9.938292e-02 -3.425900e-02  3.225980e+00 -3.717685e-02 -1.192150e-02 -6.753450e-03  2.138867e-02  2.017603e-02
   3.099940e-02 -9.627798e-06  6.999733e-03 -2.806750e-03 -3.590073e-02 -7.999220e-02 -3.717685e-02  3.932539e+00 -1.333831e-02 -8.469316e-03  2.449016e-02  2.231956e-02
  -5.411726e-02 -8.095676e-06 -3.185530e-03 -5.647882e-03 -8.643108e-03 -1.049323e-02 -1.192150e-02 -1.333831e-02  2.321611e+00 -7.102274e-03  2.099568e-02  1.198433e-02
  -5.580328e-02 -7.249576e-06 -7.092736e-03 -6.961859e-03 -9.841428e-03 -1.053649e-02 -6.753450e-03 -8.469316e-03 -7.102274e-03  2.974319e+00  3.722526e-03 -2.878084e-03
   6.170338e-03  1.623429e-06 -9.948068e-03 -2.161713e-03  1.718811e-02  1.941531e-02  2.138867e-02  2.449016e-02  2.099568e-02  3.722526e-03  3.799996e+00 -2.107685e-02
  -5.956137e-03  2.254747e-06 -8.666182e-03 -1.479099e-03  1.439004e-02  1.646323e-02  2.017603e-02  2.231956e-02  1.198433e-02 -2.878084e-03 -2.107685e-02  3.797154e+00
  -6.563156e-05  9.362129e-07 -6.113952e-03 -1.547789e-03  9.177225e-03  1.008718e-02  1.240290e-02  1.523248e-02  9.304910e-03 -2.631404e-03 -1.494508e-02 -1.667882e-02
  -8.952957e-03  1.203552e-06 -7.467462e-03 -1.911046e-03  1.235622e-02  1.427434e-02  1.646532e-02  1.796130e-02  7.337724e-03  5.898210e-04 -1.571634e-02 -1.695231e-02
   2.893133e-02  2.059679e-05  1.515434e-02  2.218366e-02  3.478902e-02  3.528834e-02  3.330833e-02  3.409204e-02  3.153887e-02  2.686728e-02 -1.604433e-02 -1.681086e-02
          [,13]         [,14]         [,15]         [,16]         [,17]         [,18]         [,19]         [,20]         [,21]         [,22]         [,23]         [,24]
  -6.563156e-05 -8.952957e-03  2.893133e-02  9.634320e-02  1.646129e-04 -1.964698e-01  3.065800e-05  7.314161e-02 -1.825501e-01 -5.691590e-02  2.647490e-01 -5.665296e-04
   9.362129e-07  1.203552e-06  2.059679e-05  2.014509e-05 -1.822738e-09 -1.422764e-06  3.004320e-09 -4.897375e-07 -9.278588e-07  1.147661e-07 -4.481271e-06 -3.921167e-07
  -6.113952e-03 -7.467462e-03  1.515434e-02  2.306527e-02 -1.118677e-05  2.458687e-03 -3.864190e-08 -1.110488e-02 -2.573784e-02 -5.982567e-03 -3.694519e-02 -2.110502e-03
  -1.547789e-03 -1.911046e-03  2.218366e-02  2.308891e-02 -4.591199e-06  7.240540e-05  4.135738e-06  2.767779e-04 -3.597820e-03 -1.175958e-03 -1.043669e-02  1.162938e-03
   9.177225e-03  1.235622e-02  3.478902e-02  1.819616e-02  1.982589e-06 -9.648234e-03 -2.085525e-05  2.384477e-02 -1.770864e-02 -3.301051e-03 -7.384949e-03 -4.607570e-04
   1.008718e-02  1.427434e-02  3.528834e-02  1.778864e-02 -1.802592e-06 -8.887014e-03  6.759762e-06 -2.950371e-03 -2.480036e-02 -2.929679e-03  1.628736e-02 -9.482706e-04
   1.240290e-02  1.646532e-02  3.330833e-02  1.250567e-02 -6.396461e-08 -4.825972e-03 -2.494708e-05  4.305915e-03 -2.160472e-02 -4.155951e-03 -9.183414e-03 -5.879494e-05
   1.523248e-02  1.796130e-02  3.409204e-02  1.233494e-02  8.945502e-08 -7.628143e-03  4.792554e-06 -1.399901e-02 -2.612555e-02 -2.471909e-03  7.409728e-03 -4.158795e-04
   9.304910e-03  7.337724e-03  3.153887e-02  2.675689e-02 -3.689107e-06  5.348146e-03  6.088308e-06 -1.054359e-02 -8.182166e-03 -4.849936e-04 -7.858553e-03  1.252052e-03
  -2.631404e-03  5.898210e-04  2.686728e-02  3.366837e-02 -5.494799e-06 -1.786452e-03  1.766806e-06 -3.788822e-03 -7.181184e-03 -8.800254e-04 -6.129153e-03  1.200943e-03
  -1.494508e-02 -1.571634e-02 -1.604433e-02 -2.479503e-03 -2.891063e-06 -9.423045e-04 -5.220163e-06  6.523986e-04 -6.108609e-04  1.998465e-03 -1.463274e-02  3.971142e-04
  -1.667882e-02 -1.695231e-02 -1.681086e-02  3.663346e-04 -4.339627e-06 -4.325951e-03 -8.116239e-06  1.188980e-03 -1.151872e-03 -5.868729e-04 -2.375318e-02  5.200096e-04
   3.807674e+00 -1.095897e-02 -1.884071e-02  1.941749e-03 -1.351867e-06 -2.081743e-03 -2.108896e-06  1.831112e-03  2.905738e-03 -1.268603e-03 -7.471140e-03  1.503300e-03
  -1.095897e-02  3.769357e+00 -1.085472e-02  1.958947e-03 -9.000113e-07 -2.386167e-03 -5.530967e-06  1.455591e-03 -9.478836e-04 -1.844850e-03 -1.439091e-03  7.601661e-04
  -1.884071e-02 -1.085472e-02  4.822221e-01 -9.394101e-02  1.099911e-05 -1.352277e-03 -1.336639e-06  4.446407e-03  5.379482e-04  1.649333e-03  1.864589e-02  2.107685e-03
          [,25]         [,26]         [,27]         [,28]         [,29]         [,30]         [,31]         [,32]         [,33]         [,34]         [,35]         [,36]
   3.179860e-07 -3.056313e-03 -5.025269e-04 -8.250704e-04 -7.434416e-04  1.565966e-03 -4.497588e-03  1.206269e-03 -1.207041e-02  1.040154e-03  1.442430e-03  2.374269e-03
  -5.289754e-11  5.607128e-08 -1.582860e-07  3.281298e-07  3.087745e-07 -8.227471e-08 -2.769506e-08  1.316499e-07  5.155165e-07  2.003471e-07  3.940517e-07  6.947964e-08
   2.471181e-08 -2.826175e-04  2.848189e-02 -2.186363e-02  5.531206e-03  7.688260e-04  7.459204e-05  8.874240e-04 -1.392347e-03  3.261017e-04 -7.200779e-03  7.761690e-04
  -1.585230e-07 -2.941804e-03 -6.530822e-04 -3.608983e-04 -2.620996e-01  2.211795e-02 -1.776891e-04 -6.984134e-04 -5.767439e-04 -5.215016e-04 -6.084507e-04 -7.054041e-04
  -2.100496e-07  3.704278e-04  5.750969e-04  2.860525e-04  7.865920e-04  3.655705e-04 -1.683346e-04 -1.447335e-02  8.778303e-04  2.439191e-04 -2.092154e-03  6.950612e-04
  -1.638669e-07  2.230445e-04  6.045943e-04  3.065778e-04  9.689539e-04  4.384556e-04 -3.124737e-04  2.062718e-04 -8.405933e-02  3.108906e-03  6.321309e-05 -2.061015e-04
  -1.450507e-07  1.059877e-03 -2.820080e-05 -3.014798e-04  1.579570e-03  4.038149e-05 -4.608271e-04  7.523563e-04  2.865244e-04  2.710212e-04 -3.710192e-02  3.300190e-03
  -1.719403e-07  4.366682e-04  1.073071e-03  1.753368e-04  1.964835e-03  7.293993e-04 -8.359617e-04 -2.779646e-04 -7.642845e-03  1.659804e-04 -8.232653e-05 -2.424065e-04
  -7.074543e-08 -8.587414e-04  2.822548e-04  1.336601e-04 -4.034186e-04  3.143529e-07 -1.587411e-04 -6.404030e-05 -4.876169e-04 -6.489332e-05 -3.448637e-05  5.514251e-04
   5.751628e-09 -1.925826e-03  4.587133e-04 -3.638335e-04  2.525625e-03 -1.251064e-04 -6.424777e-05 -4.327605e-04  3.511889e-04 -9.085286e-04  4.274042e-04  3.842630e-04
   5.549683e-08  1.495394e-04 -4.589205e-04  2.535573e-04  1.498262e-03  1.313035e-04  3.668788e-04 -1.642803e-04  2.575974e-03 -3.409504e-04  6.424117e-05 -2.011859e-04
   8.864889e-08 -5.611529e-05 -3.476041e-04  1.548815e-04 -4.246413e-03  1.019999e-04  4.148463e-04 -2.587693e-04  1.837467e-03 -2.772707e-04  1.070050e-04 -1.232253e-04
   3.797551e-08  3.490114e-04 -2.183027e-04  6.703698e-05  2.134957e-03  5.321839e-05  3.051829e-04 -3.206730e-04  9.583394e-04 -3.848555e-04  4.057549e-05 -5.264578e-04
   5.948937e-08  3.048779e-04 -4.059958e-04  8.101241e-05  7.266864e-04 -5.275864e-05  1.412502e-04 -3.519436e-06  7.871512e-04 -3.687323e-04  1.344756e-04 -1.936435e-04
   2.146026e-07 -1.666129e-04 -1.177603e-03  4.425933e-05 -6.080025e-05 -6.285881e-04 -1.843216e-04 -7.418879e-04 -1.447998e-05 -8.843211e-04 -1.116438e-03 -3.800716e-04
          [,37]         [,38]         [,39]         [,40]         [,41]         [,42]         [,43]         [,44]         [,45]         [,46]         [,47]         [,48]
   4.148078e-03  3.440577e-03 -2.221603e-02 -4.074790e-03 -1.773692e-02  3.491520e-03  2.371832e-02 -2.091670e-03  2.678665e-02  8.979930e-04 -2.529907e-02  1.488297e-03
   4.842017e-07 -9.533380e-08  1.538219e-07  8.330420e-08 -4.265580e-07  8.043774e-08  2.157187e-07 -1.596146e-07  6.718614e-07  9.840633e-08  8.795955e-07 -4.714086e-08
  -1.142018e-03  7.703845e-04 -7.668763e-03 -3.789179e-04  6.766885e-03 -2.990844e-04  9.007827e-03  7.135842e-05  5.114838e-03  2.465327e-04  5.384571e-03  2.001207e-04
  -1.476818e-04 -8.045204e-05 -2.600671e-04  2.010625e-04  1.307359e-03  2.707375e-04  1.704351e-03  1.466219e-04 -5.254716e-04 -9.888419e-04 -9.923738e-04  8.000090e-04
   7.805420e-04  3.288971e-04  5.149562e-03  1.488070e-03  8.827581e-04  8.154780e-04 -9.982334e-04 -5.441550e-04  4.591497e-03 -5.836513e-04 -1.407024e-03  2.222086e-04
   3.265899e-03  7.877249e-05  2.054077e-03  1.206210e-03 -2.262614e-03  2.704149e-04  1.782164e-04 -1.893675e-04  2.130879e-03 -2.654253e-04 -2.394681e-03 -4.445865e-04
  -4.531235e-04 -4.662904e-06  4.581807e-03  6.701819e-04 -2.342270e-03  5.733981e-04  5.340360e-04 -5.385345e-04 -7.134516e-04 -3.516650e-04 -1.674059e-03  1.656806e-04
  -5.895882e-03  2.135013e-03  4.044210e-04  1.281477e-03 -2.784586e-03  5.821911e-04  4.114997e-03 -1.444688e-04  4.902915e-03 -1.917100e-04  2.395995e-04 -6.230491e-05
  -2.009825e-04  1.606144e-03 -1.019714e-01  3.140719e-02  1.075565e-03 -6.213668e-04 -5.625190e-03  2.479558e-03 -8.706500e-04  1.209655e-04  2.671271e-03 -8.702295e-04
  -2.558366e-04  1.120472e-03 -1.559454e-03  1.599563e-04 -3.077426e-01  1.788837e-02  1.499710e-03  4.971071e-04 -7.315330e-03  8.096396e-04  4.888585e-04 -6.984627e-04
   4.855573e-04 -4.991058e-04 -2.095201e-03 -2.946698e-04  3.533081e-04 -3.787603e-04 -2.564924e-01  9.963195e-03 -2.978235e-03  2.640124e-05 -2.932599e-03  2.458768e-04
   6.103471e-04 -2.823310e-04 -8.389923e-05  1.054132e-04 -2.308862e-03 -1.573872e-03  7.235715e-04  9.873928e-05 -2.188378e-01  1.146080e-02 -3.809142e-03  5.650032e-05
   3.039384e-04 -5.840455e-04  2.185523e-04  4.425338e-04  3.372435e-05  4.431844e-04  3.820795e-04 -1.231012e-04 -2.928669e-03 -3.950228e-04 -4.126924e-01 -2.104815e-03
   2.567228e-05 -7.174668e-04 -2.401680e-04  5.909923e-05  1.205087e-03  3.717736e-04 -3.860903e-04 -3.559152e-04 -2.651979e-03 -6.098015e-06 -3.751495e-03  7.023023e-04
   5.639249e-04 -1.270611e-03  1.839617e-03 -9.633182e-05  1.665236e-03 -6.187823e-04 -4.221829e-03  7.568894e-04 -5.441834e-03 -9.134524e-05  5.325503e-03  5.311443e-04
          [,49]         [,50]         [,51]         [,52]         [,53]         [,54]         [,55]         [,56]         [,57]         [,58]         [,59]         [,60]
   5.052795e-03 -2.358374e-03  6.098898e-09  1.162985e-03  9.052548e-06  1.712270e-03  3.822360e-02  6.777815e-03  1.830786e-03 -1.309791e-02  2.797659e-02 -8.381711e-04
  -7.418329e-07 -4.485367e-08  7.002648e-11  4.463711e-08 -6.406185e-11  1.376100e-07 -9.740485e-06 -1.378873e-07 -1.049729e-07 -5.886085e-08 -6.089977e-06 -1.548662e-07
   1.058463e-02 -7.607638e-04  3.296702e-08 -1.035684e-04 -2.318431e-07  3.462025e-04  1.824060e-02 -1.458972e-03 -8.566378e-03  1.842664e-03  1.002742e-02  6.121482e-04
   1.919490e-03  4.370808e-04  1.231265e-07 -9.235509e-04  3.681259e-07 -1.019314e-03  6.713426e-04  5.432123e-03 -2.342185e-03  3.695207e-03 -5.493834e-03  1.795101e-03
  -4.039885e-03  2.831141e-04  1.992376e-07  3.916082e-04  9.667565e-07 -8.867776e-04  7.987165e-03 -3.747061e-03 -7.383245e-03 -2.522761e-03  1.267481e-02 -9.224830e-05
  -3.343029e-03  1.519692e-05  9.614867e-08  3.439293e-04  8.233329e-07 -2.318138e-05  7.706926e-04 -3.071613e-03 -2.624926e-02 -3.092492e-03  1.591527e-03  1.846428e-03
  -3.368309e-04  5.637683e-04  1.120148e-07 -3.676618e-04  8.702710e-07 -4.529695e-04  2.715881e-02 -4.019019e-04  9.784789e-03  1.125325e-03  1.706532e-02  2.941709e-04
  -6.350669e-04  1.492486e-04  1.140212e-07  4.440383e-04  9.261153e-07 -1.633370e-04  7.228348e-03 -6.174735e-04 -1.613738e-02 -2.573859e-03 -4.348252e-03  2.440358e-03
   1.449164e-03  4.999467e-04  1.329583e-07  3.099511e-04  3.081308e-07 -3.959836e-06  1.076362e-03  4.284843e-03 -1.056856e-02 -3.972924e-03  9.655227e-03  1.956951e-03
   1.615977e-03 -1.681733e-04  8.780492e-08  7.499799e-04  2.709475e-07 -2.440435e-04 -8.618339e-03  5.530380e-03 -1.599610e-03 -2.317164e-03 -3.916425e-03  2.039623e-03
   3.612289e-04  1.133670e-05 -1.002260e-07 -3.150276e-04 -8.056496e-07  9.816930e-05 -2.359101e-02 -1.411819e-03  3.828278e-03  4.797128e-04 -1.752290e-02  3.658885e-04
   1.081752e-03 -5.094088e-05 -9.353830e-08 -1.844930e-04 -4.881020e-07  7.013072e-05 -7.898883e-03 -2.427542e-04  5.110955e-03  2.463534e-05 -1.856319e-02  1.335040e-03
   8.144020e-04  2.872251e-04 -1.162098e-07 -1.728180e-04 -3.398719e-07 -4.700039e-04  2.276907e-05 -8.730358e-05  7.978714e-03 -3.606801e-04 -4.238311e-03 -5.337987e-04
  -3.659590e-01 -1.516080e-02 -8.806611e-08 -6.484036e-04 -1.608988e-06 -1.007245e-03 -1.140040e-02  2.802828e-04  2.938117e-03  1.331382e-03  1.209292e-03  5.583960e-04
   2.066898e-03  1.692182e-04  1.315546e-06 -2.133005e-03 -1.434247e-06 -5.557272e-04  1.083202e-01  2.576419e-04  1.960241e-03  7.045018e-03  6.212009e-03  9.863414e-05
          [,61]         [,62]         [,63]         [,64]         [,65]
  -1.155546e-02 -6.727807e-03  8.279461e-02  7.449840e-03 -2.518467e+00
  -5.294657e-05  1.519047e-07  2.182507e-06  6.555292e-09 -5.149566e-05
  -3.811598e-02  1.611737e-03 -8.287151e-03 -3.365602e-03 -2.246904e+00
  -2.327925e-02  3.230357e-04 -9.619837e-03  4.938523e-03 -2.466088e+00
  -9.281475e-02 -6.522335e-04 -9.009570e-03 -2.258901e-04 -3.359861e+00
  -1.913899e-01  2.278915e-04 -3.912807e-03  1.429046e-03 -3.653945e+00
  -3.939934e-02 -5.022978e-04  2.226617e-02  1.838544e-03 -2.901310e+00
  -1.832399e-01  3.520642e-04 -6.392805e-02  1.224790e-03 -3.545417e+00
   1.082766e-01 -3.123981e-03  6.779735e-03  5.978067e-03 -2.232464e+00
   2.825517e-02 -4.859637e-03  1.148457e-02  2.439942e-03 -2.665259e+00
  -1.159307e-01 -5.947520e-03 -3.927167e-02  1.382486e-03 -3.408326e+00
  -7.983896e-02 -1.542184e-03 -1.398382e-02  1.058414e-03 -3.409828e+00
   8.223410e-03 -8.824455e-04 -1.595674e-02 -1.538541e-04 -3.548720e+00
   7.174581e-03 -4.631996e-04 -1.324657e-02 -4.422688e-03 -3.397996e+00
  -2.563052e-01  9.042132e-03 -1.250470e-04 -1.161335e-04 -6.637976e-01
 [ reached 'max' / getOption("max.print") -- omitted 50 rows ]

Model rank =  6226 / 6226 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                        k'    edf k-index p-value
s(measurement.no)                                    10.00   6.04    1.01    0.72
s(measurement.no):ToneVarDiphInt.ord1 SM aw          10.00   1.00    1.01    0.74
s(measurement.no):ToneVarDiphInt.ord1 XA aj          10.00   5.49    1.01    0.77
s(measurement.no):ToneVarDiphInt.ord1 XA aw          10.00   5.93    1.01    0.71
s(measurement.no):ToneVarDiphInt.ord2 SM aj          10.00   7.72    1.01    0.78
s(measurement.no):ToneVarDiphInt.ord2 SM aw          10.00   8.31    1.01    0.76
s(measurement.no):ToneVarDiphInt.ord2 XA aj          10.00   6.80    1.01    0.74
s(measurement.no):ToneVarDiphInt.ord2 XA aw          10.00   8.09    1.01    0.72
s(measurement.no):ToneVarDiphInt.ord3 SM aj          10.00   5.46    1.01    0.73
s(measurement.no):ToneVarDiphInt.ord3 SM aw          10.00   6.33    1.01    0.80
s(measurement.no):ToneVarDiphInt.ord3 XA aj          10.00   7.82    1.01    0.78
s(measurement.no):ToneVarDiphInt.ord3 XA aw          10.00   7.82    1.01    0.80
s(measurement.no):ToneVarDiphInt.ord4 SM aj          10.00   8.10    1.01    0.75
s(measurement.no):ToneVarDiphInt.ord4 SM aw          10.00   7.80    1.01    0.80
s(measurement.no):ToneVarDiphInt.ord4 XA aj          10.00   2.33    1.01    0.74
s(measurement.no):ToneVarDiphInt.ord4 XA aw          10.00   3.06    1.01    0.73
s(measurement.no):order.ordX                         10.00   1.00    1.01    0.79
s(measurement.no):sex.ordM                           10.00   5.64    1.01    0.75
s(measurement.no):leftSegment.ordn                   10.00   1.00    1.01    0.79
s(measurement.no):leftSegment.ordp                   10.00   4.38    1.01    0.77
s(measurement.no):leftSegment.ordt                   10.00   7.21    1.01    0.76
s(measurement.no):type.ord2                          10.00   4.43    1.01    0.76
s(measurement.no,speaker)                           264.00 119.30    1.01    0.75
s(measurement.no,speaker):ToneVarDiphInt.ord1 SM aw 264.00  17.70    1.01    0.75
s(measurement.no,speaker):ToneVarDiphInt.ord1 XA aj 264.00  36.35    1.01    0.79
s(measurement.no,speaker):ToneVarDiphInt.ord1 XA aw 264.00 133.22    1.01    0.74
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aj 264.00  24.51    1.01    0.73
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aw 264.00  79.25    1.01    0.74
s(measurement.no,speaker):ToneVarDiphInt.ord2 XA aj 264.00  36.28    1.01    0.70
s(measurement.no,speaker):ToneVarDiphInt.ord2 XA aw 264.00  31.42    1.01    0.72
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aj 264.00 176.67    1.01    0.72
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aw 264.00 163.80    1.01    0.73
s(measurement.no,speaker):ToneVarDiphInt.ord3 XA aj 264.00 181.53    1.01    0.76
s(measurement.no,speaker):ToneVarDiphInt.ord3 XA aw 264.00 170.05    1.01    0.75
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aj 264.00 193.32    1.01    0.76
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aw 264.00 200.44    1.01    0.73
s(measurement.no,speaker):ToneVarDiphInt.ord4 XA aj 264.00  20.42    1.01    0.75
s(measurement.no,speaker):ToneVarDiphInt.ord4 XA aw 264.00  20.02    1.01    0.74
s(measurement.no,character)                         352.00  43.29    1.01    0.76
s(measurement.no,character):sex.ordM                352.00  52.56    1.01    0.76
s(measurement.no,character):order.ordX              352.00  33.23    1.01    0.74
s(measurement.no,character):type.ord2               352.00 148.48    1.01    0.75
s(measurement.no,character):variety.ordXA           352.00  63.29    1.01    0.80

1.5 TJ_f0_2Diph_NoAsp_Overall_baseline

TJ_f0_2Diph_NoAsp_Overall_baseline_AR1 <- readRDS("TJ_f0_2Diph_NoAsp_Overall_baseline_AR1.rds")

summary(TJ_f0_2Diph_NoAsp_Overall_baseline_AR1, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f0_10Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord) + s(measurement.no, character, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    character, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = sex.ord) + s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1, by = order.ord) + s(measurement.no, character, 
    bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, by = type.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1, by = variety.ord)

Parametric coefficients:
                           Estimate Std. Error t value Pr(>|t|)    
(Intercept)                1.123953   0.112122  10.024  < 2e-16 ***
ToneVarDiphInt.ord1 SM aw  0.101253   0.062726   1.614   0.1065    
ToneVarDiphInt.ord1 TJ aj -1.425941   0.103099 -13.831  < 2e-16 ***
ToneVarDiphInt.ord1 TJ aw -1.332262   0.127738 -10.430  < 2e-16 ***
ToneVarDiphInt.ord2 SM aj -1.144985   0.089555 -12.785  < 2e-16 ***
ToneVarDiphInt.ord2 SM aw -0.993522   0.080887 -12.283  < 2e-16 ***
ToneVarDiphInt.ord2 TJ aj -0.956551   0.134599  -7.107 1.23e-12 ***
ToneVarDiphInt.ord2 TJ aw -0.778643   0.150344  -5.179 2.25e-07 ***
ToneVarDiphInt.ord3 SM aj -1.860247   0.112678 -16.509  < 2e-16 ***
ToneVarDiphInt.ord3 SM aw -1.779801   0.120484 -14.772  < 2e-16 ***
ToneVarDiphInt.ord3 TJ aj -1.818760   0.111820 -16.265  < 2e-16 ***
ToneVarDiphInt.ord3 TJ aw -1.768985   0.119045 -14.860  < 2e-16 ***
ToneVarDiphInt.ord4 SM aj -0.612887   0.058034 -10.561  < 2e-16 ***
ToneVarDiphInt.ord4 SM aw -0.580969   0.081623  -7.118 1.13e-12 ***
ToneVarDiphInt.ord4 TJ aj -0.565287   0.134254  -4.211 2.56e-05 ***
ToneVarDiphInt.ord4 TJ aw -0.644370   0.126557  -5.092 3.58e-07 ***
order.ordT                -0.074555   0.120149  -0.621   0.5349    
sex.ordM                  -0.304327   0.119839  -2.539   0.0111 *  
leftSegment.ordn          -0.052098   0.041578  -1.253   0.2102    
leftSegment.ordp          -0.002933   0.037372  -0.078   0.9374    
leftSegment.ordt          -0.027151   0.042090  -0.645   0.5189    
type.ord2                 -0.150768   0.025173  -5.989 2.14e-09 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                              edf Ref.df      F  p-value    
s(measurement.no)                           7.410  7.918 10.099  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 SM aw 1.707  2.067  0.545  0.56964    
s(measurement.no):ToneVarDiphInt.ord1 TJ aj 6.650  7.215 47.078  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 TJ aw 6.895  7.488 59.288  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aj 7.704  8.603 53.691  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aw 7.876  8.506 53.559  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 TJ aj 6.596  7.423 25.860  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 TJ aw 7.273  7.869 29.134  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aj 6.455  6.937 22.984  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aw 4.989  5.281 11.168  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 TJ aj 6.627  7.163 21.989  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 TJ aw 4.756  4.988  9.511  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aj 8.321  8.640 66.734  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aw 8.072  8.410 55.628  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 TJ aj 8.218  8.576 55.264  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 TJ aw 8.011  8.362 35.509  < 2e-16 ***
s(measurement.no):order.ordT                1.000  1.000  0.202  0.65302    
s(measurement.no):sex.ordM                  3.387  3.678  4.341  0.00248 ** 
s(measurement.no):leftSegment.ordn          1.442  1.660  0.438  0.71765    
s(measurement.no):leftSegment.ordp          4.650  5.589  6.524 1.92e-06 ***
s(measurement.no):leftSegment.ordt          6.881  7.913  6.147  < 2e-16 ***
s(measurement.no):type.ord2                 6.061  7.303  4.620 2.95e-05 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.795   Deviance explained = 81.9%
fREML =  34.26  Scale est. = 0.10406   n = 23230

gam.check(TJ_f0_2Diph_NoAsp_Overall_baseline_AR1)

Method: fREML   Optimizer: perf chol
$grad
 [1]  2.488732e-05  2.696860e-08  4.152408e-07  1.437955e-07  7.902533e-07  1.085089e-06  3.945926e-07  6.966855e-07 -2.539316e-07  2.356422e-07  9.758567e-07  6.446158e-07
[13] -8.442263e-07 -7.627626e-07 -1.163433e-06 -1.009760e-06 -8.285451e-05 -9.114978e-07 -1.881992e-07  9.860744e-09 -6.992632e-07 -1.004588e-06 -2.635970e-05 -3.270478e-08
[25] -2.099056e-07 -9.479872e-07  1.637413e-05 -6.636725e-07  2.735265e-05  3.829888e-07 -1.058749e-05  1.904066e-08 -2.983970e-05  1.769261e-07  1.420932e-06  4.608361e-08
[37]  1.811709e-05 -1.199742e-07 -3.109471e-06  4.950482e-07  1.086505e-05 -1.031606e-06  1.115322e-05 -2.021241e-07 -1.407048e-06 -1.136241e-06  3.172759e-06 -1.380717e-06
[49] -2.150546e-05 -6.357293e-07 -1.834018e-06 -2.879727e-07  1.811865e-05 -1.433934e-07  8.022796e-08  2.100162e-07 -4.070915e-07 -5.662025e-09 -2.572236e-06 -1.728447e-06
[61]  9.382915e-07  1.135611e-07  3.673570e-07  1.337653e-07  1.064428e-04

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]         [,10]         [,11]         [,12]
   3.150327e+00  8.570534e-02  1.404263e-02 -3.174123e-02  8.026569e-02  8.152152e-02  8.140725e-02  8.616775e-02 -7.319945e-02 -5.465539e-02  5.999490e-02 -8.833191e-05
   8.570534e-02  1.190455e-01  1.555602e-02  3.841259e-02  1.370384e-02  1.208697e-02 -6.149658e-03 -1.008449e-02  4.358687e-02  4.138469e-02  2.433962e-02  3.438544e-02
   1.404263e-02  1.555602e-02  3.230357e+00 -1.527101e-02  2.035377e-03  3.864226e-03  1.227007e-02  1.317002e-02  1.834000e-03 -7.519442e-03 -2.536294e-03 -2.373494e-03
  -3.174123e-02  3.841259e-02 -1.527101e-02  3.334196e+00  1.498422e-02  2.000160e-02  1.796666e-02  2.650567e-02  3.487704e-03 -1.069302e-02  1.554006e-02  3.343839e-03
   8.026569e-02  1.370384e-02  2.035377e-03  1.498422e-02  3.587280e+00 -6.540446e-02 -8.516591e-02 -4.875892e-02 -9.291235e-03 -3.775588e-03 -4.450424e-02 -2.644756e-02
   8.152152e-02  1.208697e-02  3.864226e-03  2.000160e-02 -6.540446e-02  3.682911e+00 -4.602949e-02 -8.862093e-02 -1.344202e-02 -4.011956e-03 -4.922626e-02 -2.919329e-02
   8.140725e-02 -6.149658e-03  1.227007e-02  1.796666e-02 -8.516591e-02 -4.602949e-02  3.055724e+00 -7.251039e-02  4.699567e-04  1.308482e-02 -3.264918e-02 -1.300470e-02
   8.616775e-02 -1.008449e-02  1.317002e-02  2.650567e-02 -4.875892e-02 -8.862093e-02 -7.251039e-02  3.451397e+00 -4.395468e-03  1.127684e-02 -4.006486e-02 -1.714217e-02
  -7.319945e-02  4.358687e-02  1.834000e-03  3.487704e-03 -9.291235e-03 -1.344202e-02  4.699567e-04 -4.395468e-03  2.812082e+00 -2.109298e-02 -5.306793e-02 -2.484927e-02
  -5.465539e-02  4.138469e-02 -7.519442e-03 -1.069302e-02 -3.775588e-03 -4.011956e-03  1.308482e-02  1.127684e-02 -2.109298e-02  2.054606e+00 -9.478362e-03 -2.317699e-02
   5.999490e-02  2.433962e-02 -2.536294e-03  1.554006e-02 -4.450424e-02 -4.922626e-02 -3.264918e-02 -4.006486e-02 -5.306793e-02 -9.478362e-03  2.718579e+00 -3.272593e-02
  -8.833191e-05  3.438544e-02 -2.373494e-03  3.343839e-03 -2.644756e-02 -2.919329e-02 -1.300470e-02 -1.714217e-02 -2.484927e-02 -2.317699e-02 -3.272593e-02  1.737177e+00
  -1.067613e-01  8.385166e-03 -3.241546e-03 -1.475346e-02  3.820289e-02  3.928674e-02  3.770965e-02  3.969162e-02 -7.379862e-03 -9.158702e-03  2.752210e-02  1.065202e-02
  -9.850763e-02  1.043014e-02 -5.828705e-03 -1.481493e-02  3.256663e-02  3.341200e-02  4.446570e-02  4.391392e-02 -7.744192e-03 -1.171727e-02  2.442597e-02  7.663348e-03
  -1.133700e-01  3.456513e-03 -2.707380e-03 -1.440488e-02  4.008630e-02  4.112733e-02  4.373698e-02  4.492446e-02 -6.120323e-03 -7.917791e-03  3.176803e-02  1.242665e-02
          [,13]         [,14]         [,15]         [,16]         [,17]         [,18]         [,19]         [,20]         [,21]         [,22]         [,23]         [,24]
  -1.067613e-01 -9.850763e-02 -1.133700e-01 -1.132879e-01 -2.483631e-05 -3.539536e-02  1.890179e-02 -6.299685e-02 -1.014639e-01 -1.635946e-01  1.329688e-01 -1.521317e-03
   8.385166e-03  1.043014e-02  3.456513e-03  6.952100e-03 -2.650070e-08  7.584654e-04  9.994748e-03  1.429663e-03 -5.926331e-04 -6.226055e-04  9.467037e-03  1.335785e-03
  -3.241546e-03 -5.828705e-03 -2.707380e-03 -2.605093e-03 -4.148643e-07 -4.987980e-04  7.003955e-04 -6.516685e-03 -1.543557e-02  1.879923e-04 -1.375602e-02 -4.694457e-04
  -1.475346e-02 -1.481493e-02 -1.440488e-02 -1.602471e-02 -1.439411e-07 -5.097907e-04 -4.319377e-03 -2.223611e-03  5.087151e-04  2.384796e-03 -2.814782e-02 -3.800591e-04
   3.820289e-02  3.256663e-02  4.008630e-02  3.564621e-02 -7.890849e-07 -1.651286e-03  1.576034e-03  7.121787e-03 -1.184546e-02 -7.845460e-03  1.569095e-02 -3.620949e-04
   3.928674e-02  3.341200e-02  4.112733e-02  3.895566e-02 -1.083484e-06 -2.700416e-03 -8.024389e-04 -1.193421e-02 -1.930110e-02 -8.792886e-03 -1.347571e-02 -3.835160e-04
   3.770965e-02  4.446570e-02  4.373698e-02  4.600700e-02 -3.937953e-07 -1.300065e-03 -2.359629e-03 -3.409010e-03 -2.532015e-02 -8.600568e-04 -8.597757e-03  2.581976e-05
   3.969162e-02  4.391392e-02  4.492446e-02  4.769515e-02 -6.957632e-07  9.159720e-05  5.900807e-04 -8.078045e-03 -3.123675e-02 -3.717514e-03  1.959949e-02  1.783277e-05
  -7.379862e-03 -7.744192e-03 -6.120323e-03 -5.713060e-03  2.533505e-07 -3.255080e-03 -3.217429e-03 -2.002881e-02 -1.944195e-02 -6.662962e-03 -3.371857e-02 -8.739798e-04
  -9.158702e-03 -1.171727e-02 -7.917791e-03 -9.156794e-03 -2.358186e-07 -5.476295e-03 -4.200674e-03 -6.189000e-03 -7.550360e-03 -3.107044e-03 -3.898774e-02 -8.803546e-04
   2.752210e-02  2.442597e-02  3.176803e-02  3.269150e-02 -9.745484e-07 -4.149837e-03 -2.291957e-03 -2.023311e-02 -2.425242e-02 -6.827457e-03 -3.408045e-02 -2.866292e-04
   1.065202e-02  7.663348e-03  1.242665e-02  1.155975e-02 -6.441549e-07 -3.777402e-03 -2.707327e-03 -1.165977e-02 -1.198483e-02 -3.569078e-03 -2.444484e-02 -2.248180e-04
   3.895164e+00 -3.279409e-02 -5.491333e-02 -3.536766e-02  8.432145e-07  1.175104e-03 -7.805956e-04  2.277848e-03  6.044283e-03 -1.561734e-03 -3.231665e-02 -1.558203e-03
  -3.279409e-02  3.842592e+00 -3.588704e-02 -5.548731e-02  7.618116e-07 -5.955440e-04 -1.292072e-03  1.212750e-03  3.702771e-03  2.029680e-03 -2.823570e-02 -3.315516e-04
  -5.491333e-02 -3.588704e-02  3.900240e+00 -4.079966e-02  1.161136e-06  1.632058e-03 -1.333762e-03  8.155886e-04  2.614424e-03  8.849998e-06  9.845598e-03 -6.467829e-05
          [,25]         [,26]         [,27]         [,28]         [,29]         [,30]         [,31]         [,32]         [,33]         [,34]         [,35]         [,36]
   6.181839e-03 -5.026627e-04  3.218369e-02 -3.772074e-04 -1.406440e-02 -1.135502e-03  5.397894e-06 -1.603791e-03 -2.672558e-03 -5.295691e-03  7.886560e-03 -1.117065e-03
   3.335073e-03 -9.490475e-03 -9.817331e-03  1.436902e-03  1.790731e-02  7.426010e-04 -7.304474e-04  1.232203e-03 -3.820073e-03  2.073275e-03 -1.239117e-03  1.226585e-03
  -3.769626e-04 -1.507527e-03 -3.868661e-01 -9.241531e-05 -6.008339e-04 -5.121426e-04  2.828178e-03  1.987564e-04 -8.156783e-04 -2.428967e-04 -2.139944e-03 -5.003553e-05
  -1.370255e-03  2.379198e-03  4.869552e-04 -3.996589e-05 -2.623505e-01 -2.685001e-04  2.135820e-03 -5.865125e-04  1.297472e-03 -1.209888e-03  2.448056e-03 -2.486053e-04
  -1.250020e-03 -2.213916e-04  4.077289e-03 -2.044047e-04  5.967265e-03 -1.402940e-04 -8.816555e-03  7.310968e-03 -3.822113e-03  1.675038e-04  2.422911e-02 -1.228550e-03
  -7.068383e-04  5.160630e-04  3.629341e-03 -3.141018e-04  5.448674e-03 -6.728117e-05 -4.218374e-03  1.017164e-04 -9.944973e-02  3.162418e-03 -3.890629e-03 -3.195253e-04
  -1.239011e-03 -2.524649e-04  8.669234e-03 -2.153196e-05  7.876510e-03  1.532002e-04  2.056746e-02 -2.512170e-04 -7.009713e-04  5.799554e-04 -5.384926e-02  1.559711e-03
  -1.146865e-03 -2.439851e-04  7.504887e-03 -7.630629e-05  6.968468e-03  2.857339e-04 -4.088807e-03  3.830538e-04  1.895895e-02  2.297012e-04 -4.921788e-03 -8.130731e-07
   2.620932e-03  4.845206e-05  7.043526e-03 -6.779453e-04 -2.565153e-03 -2.656398e-04  2.397580e-03 -7.076978e-04  6.106861e-03 -8.799692e-04  2.659348e-03 -3.652593e-04
   1.355613e-03  6.296979e-04  2.771588e-03 -7.024183e-04  1.905624e-03 -6.742620e-04  3.464075e-03 -4.001869e-04  4.263647e-03 -1.026632e-03  4.950624e-03 -7.455249e-04
   6.904048e-04 -1.679061e-04  4.503104e-03 -5.175792e-04  6.487715e-03  1.746855e-04  8.793344e-04 -2.995536e-04  3.184421e-03 -4.326065e-05 -1.184649e-03 -2.489114e-04
   9.052019e-04  1.869159e-04  1.766487e-03 -2.326017e-04  2.822246e-03  2.948246e-04  2.118983e-03 -9.424632e-04  5.746650e-03 -1.280018e-03  1.782330e-03 -5.163003e-04
   1.466562e-03  4.237921e-04  3.635122e-03 -6.440394e-04 -6.664930e-03 -1.539029e-03  2.643378e-03  1.162942e-04 -1.801082e-04 -6.474562e-04  1.178498e-03 -5.407877e-04
   1.352340e-03 -9.332396e-05  3.888303e-04  1.248164e-04 -6.267115e-03 -1.629180e-04  2.190345e-03 -6.631487e-04  7.947577e-04 -1.226557e-03  1.055079e-03 -1.456091e-04
   1.040257e-03  4.283363e-04  2.624693e-03  3.324594e-04 -6.004745e-03  5.112102e-06  1.138778e-03 -3.634026e-04 -4.334242e-03 -8.787697e-04  2.253366e-03  7.106355e-05
          [,37]         [,38]         [,39]         [,40]         [,41]         [,42]         [,43]         [,44]         [,45]         [,46]         [,47]         [,48]
   2.385840e-02 -1.043380e-03  2.392496e-03 -1.148199e-03 -2.962847e-02  1.011848e-03 -9.431397e-03 -4.065603e-03 -5.704520e-03 -3.781212e-04 -3.937512e-02 -1.968810e-03
  -1.138128e-02  1.266408e-03 -3.101066e-03  5.962025e-04  7.894699e-03  4.797220e-04 -2.991544e-03  1.734335e-03  5.962604e-03  8.645055e-04  4.381328e-03 -1.036362e-04
   6.796509e-04 -7.755669e-05  5.090096e-03  2.700700e-04  6.495762e-03  3.756081e-04  6.601461e-03 -1.313167e-04 -2.814810e-03  8.440945e-04 -1.886321e-03 -9.720737e-04
   1.322658e-02 -4.612158e-04  4.287645e-03  9.195878e-05  3.060396e-03 -6.638382e-04  2.416033e-03 -8.270308e-04  9.958244e-03 -2.858048e-04  7.936254e-04 -7.773898e-04
  -3.252589e-03 -1.437404e-04  8.216645e-04  1.149764e-03 -4.335524e-03  8.978039e-05 -8.158421e-04 -7.047019e-05 -1.512313e-02 -2.067117e-04 -7.449590e-04  1.132637e-03
   2.482950e-02 -3.383357e-04 -3.645699e-03  7.459186e-04 -6.522070e-03  1.136479e-04 -6.497740e-03 -8.787291e-05 -2.239009e-02 -3.899851e-04  3.538923e-03  9.737872e-04
  -1.631846e-03  2.253457e-05 -8.126781e-05  1.243886e-03 -3.842051e-04 -7.134707e-04  4.973015e-03  1.580457e-04 -9.789166e-03 -3.324168e-04  3.782314e-03  1.086589e-03
  -6.198139e-02 -4.235140e-04 -6.908757e-03  8.544522e-04 -2.882931e-03 -1.566595e-04 -4.148837e-03  3.773418e-04 -1.747522e-02 -9.204240e-05  5.246605e-03  1.078529e-03
   3.427200e-03 -2.443179e-04 -3.741578e-01  1.459653e-02 -1.284222e-02 -4.655727e-04  1.554445e-02 -1.307033e-03 -1.680242e-02 -5.107374e-04  1.908843e-03 -7.596583e-05
   6.629762e-03 -5.053751e-04  3.930498e-03  8.009160e-05 -8.895503e-02 -2.729602e-02  2.772735e-04 -1.065417e-03  9.846324e-03 -9.184890e-04 -3.051272e-03 -3.740027e-04
  -2.913930e-03 -8.627235e-05 -8.892617e-03 -2.205539e-03 -1.233273e-02 -1.056220e-04 -2.776339e-01 -1.171846e-02 -2.805633e-02 -8.914636e-05  6.109814e-04  9.518356e-04
   1.589138e-04 -2.936437e-04  1.779541e-03  5.175677e-05 -2.764199e-02  2.284602e-04 -1.048042e-03 -5.597370e-04  1.776585e-01 -1.999000e-02 -2.376644e-03 -2.536876e-05
   4.197021e-03 -5.263453e-04  3.479820e-03 -4.909340e-04 -2.185895e-03 -6.656343e-04  4.700976e-03 -1.570327e-03  6.863153e-03 -1.056140e-03 -4.242805e-01  4.468605e-03
   7.790736e-04 -1.406574e-04  3.760516e-03 -1.309026e-04 -2.146312e-03 -6.547934e-05  3.668116e-03 -5.027050e-04  5.159206e-03 -1.948238e-04 -5.541481e-04 -9.565846e-04
   1.275080e-03 -5.072517e-05  3.710882e-03 -1.072485e-04  1.381675e-05 -3.535134e-05  1.144775e-03 -5.028360e-04  6.430587e-03 -3.086204e-04  2.916906e-02 -2.153504e-03
          [,49]         [,50]         [,51]         [,52]         [,53]         [,54]         [,55]         [,56]         [,57]         [,58]         [,59]         [,60]
   8.506082e-03 -1.529277e-03 -2.004173e-02 -1.548464e-03 -4.531341e-02 -1.500634e-03 -4.795950e-03  3.454000e-04 -1.165947e-01 -2.363147e-03 -1.036699e-01 -2.991984e-03
  -5.546740e-04  2.146428e-03 -3.219740e-03  7.081635e-04  1.922983e-03  1.064551e-03  1.687412e-03 -2.890482e-03 -4.613299e-02  2.259401e-03 -1.348634e-02  1.604495e-03
  -3.773128e-04 -6.111489e-04 -9.181431e-04 -6.548501e-05  3.464269e-03 -4.251911e-05  4.496099e-03  1.646237e-03 -7.704180e-03  5.411357e-05 -1.323259e-03 -9.904432e-04
  -1.482611e-03 -1.238510e-03  3.868536e-04 -1.625937e-04  5.311534e-03 -7.413932e-05 -2.341330e-03 -1.152353e-03  1.464765e-02  5.388920e-04  1.180102e-02  8.485140e-04
   5.104358e-03  8.988473e-04  7.116997e-03 -2.587421e-04  2.601074e-03 -5.946071e-04  1.434211e-02  7.116488e-04 -8.062668e-02 -7.397042e-04 -3.627903e-02  2.293546e-03
   5.543607e-03  3.343758e-04  8.554787e-03 -1.646822e-04  6.167629e-03 -5.057879e-04  2.475073e-02  1.521684e-03  3.403352e-02 -8.500987e-04  1.553800e-03 -4.141103e-05
  -7.365649e-04  8.045352e-04 -1.236723e-03 -1.150735e-04  7.634363e-04 -3.345490e-04  1.139263e-02  8.935932e-04 -5.482271e-02 -2.420143e-04 -4.427503e-02  1.164616e-03
   4.656600e-03  1.194818e-03  5.107148e-03  2.141747e-05  1.287724e-03 -3.360478e-04  1.740844e-02  1.464344e-03  3.425232e-02 -3.717080e-04  1.015143e-03 -2.352596e-04
  -1.871525e-03 -6.818782e-04  3.035963e-03 -2.540605e-04 -1.469596e-03 -5.520521e-04  2.544643e-02  1.829911e-03 -2.787444e-02 -2.969045e-03  2.268755e-02 -4.305303e-03
  -3.302282e-03 -3.755660e-04 -1.395782e-04 -4.997614e-04 -1.968149e-03 -6.271174e-04  5.299504e-03  1.029985e-03 -2.672232e-02 -1.120951e-03  4.029296e-03 -2.618088e-03
   3.523786e-05  5.358070e-04  1.311461e-03 -1.213556e-04 -1.667034e-03 -3.323931e-04  2.695215e-02  3.532640e-03  2.321571e-02 -3.174613e-03  3.694166e-02 -5.499242e-04
  -2.092355e-03  1.552130e-05  2.740454e-03 -7.402166e-05 -1.927763e-03 -2.866200e-04  1.122791e-02  1.842767e-03  2.237281e-02 -2.200450e-03  6.676592e-03 -1.671894e-03
  -1.971356e-03 -4.411173e-03 -7.019482e-03 -7.576775e-04 -6.945376e-03 -4.482781e-05 -6.165320e-03 -1.283497e-03 -3.110198e-02  4.075543e-03 -3.188317e-02  7.918125e-05
  -2.143720e-01  9.179953e-03 -3.084677e-03  5.177621e-06  1.041143e-04  1.663863e-04 -1.605919e-03 -2.408890e-03 -4.791842e-02 -4.301927e-03 -3.180778e-02 -1.817412e-03
  -2.483626e-03 -8.636566e-04 -2.897420e-01  5.453814e-05 -3.796237e-04  2.059971e-04 -6.462277e-03 -3.353948e-03 -4.206124e-02 -5.377783e-04 -4.145364e-02  9.654251e-04
          [,61]         [,62]         [,63]         [,64]         [,65]
  -1.270640e-02 -7.279635e-03 -5.964584e-03  1.454935e-04 -3.205226e+00
   4.223932e-02 -3.730242e-03  7.141649e-04  2.542880e-04 -3.534504e-01
   1.057867e-02 -1.265110e-04 -5.768262e-04 -9.970068e-04 -2.824993e+00
  -1.943319e-02 -5.708895e-05 -1.893746e-02 -2.508129e-03 -2.947386e+00
   9.024738e-03 -7.398988e-04  1.350081e-03  2.797309e-03 -3.352019e+00
  -4.780246e-02 -6.342530e-04 -1.935806e-03 -3.740482e-04 -3.437996e+00
   9.776988e-03 -8.314569e-04 -1.580075e-02 -2.531460e-03 -2.798149e+00
  -1.265174e-01  2.949535e-04  5.793506e-03  2.365291e-04 -3.136352e+00
  -9.080217e-03  1.283281e-03 -5.054306e-03  1.348053e-03 -2.727577e+00
  -3.489142e-02 -2.353815e-03  4.798923e-03 -8.514124e-04 -1.994431e+00
  -9.715329e-02 -1.374924e-04  2.650864e-02 -3.739005e-03 -2.813721e+00
  -7.938336e-02 -1.852780e-03  4.293565e-03  1.822195e-03 -1.877820e+00
  -5.379537e-02 -1.653271e-03 -1.571313e-03 -1.855476e-03 -3.660697e+00
   2.889135e-02 -8.727912e-04 -5.356872e-04 -2.361036e-03 -3.536051e+00
  -6.211421e-02  3.068335e-04 -1.087315e-02  6.830423e-04 -3.608877e+00
 [ reached 'max' / getOption("max.print") -- omitted 50 rows ]

Model rank =  6116 / 6116 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                        k'    edf k-index p-value
s(measurement.no)                                    10.00   7.41    1.01    0.79
s(measurement.no):ToneVarDiphInt.ord1 SM aw          10.00   1.71    1.01    0.79
s(measurement.no):ToneVarDiphInt.ord1 TJ aj          10.00   6.65    1.01    0.78
s(measurement.no):ToneVarDiphInt.ord1 TJ aw          10.00   6.89    1.01    0.74
s(measurement.no):ToneVarDiphInt.ord2 SM aj          10.00   7.70    1.01    0.78
s(measurement.no):ToneVarDiphInt.ord2 SM aw          10.00   7.88    1.01    0.82
s(measurement.no):ToneVarDiphInt.ord2 TJ aj          10.00   6.60    1.01    0.74
s(measurement.no):ToneVarDiphInt.ord2 TJ aw          10.00   7.27    1.01    0.77
s(measurement.no):ToneVarDiphInt.ord3 SM aj          10.00   6.46    1.01    0.82
s(measurement.no):ToneVarDiphInt.ord3 SM aw          10.00   4.99    1.01    0.82
s(measurement.no):ToneVarDiphInt.ord3 TJ aj          10.00   6.63    1.01    0.80
s(measurement.no):ToneVarDiphInt.ord3 TJ aw          10.00   4.76    1.01    0.74
s(measurement.no):ToneVarDiphInt.ord4 SM aj          10.00   8.32    1.01    0.77
s(measurement.no):ToneVarDiphInt.ord4 SM aw          10.00   8.07    1.01    0.81
s(measurement.no):ToneVarDiphInt.ord4 TJ aj          10.00   8.22    1.01    0.76
s(measurement.no):ToneVarDiphInt.ord4 TJ aw          10.00   8.01    1.01    0.81
s(measurement.no):order.ordT                         10.00   1.00    1.01    0.79
s(measurement.no):sex.ordM                           10.00   3.39    1.01    0.81
s(measurement.no):leftSegment.ordn                   10.00   1.44    1.01    0.78
s(measurement.no):leftSegment.ordp                   10.00   4.65    1.01    0.74
s(measurement.no):leftSegment.ordt                   10.00   6.88    1.01    0.76
s(measurement.no):type.ord2                          10.00   6.06    1.01    0.74
s(measurement.no,speaker)                           264.00 142.10    1.01    0.80
s(measurement.no,speaker):ToneVarDiphInt.ord1 SM aw 264.00  19.11    1.01    0.72
s(measurement.no,speaker):ToneVarDiphInt.ord1 TJ aj 264.00 150.56    1.01    0.74
s(measurement.no,speaker):ToneVarDiphInt.ord1 TJ aw 264.00 157.59    1.01    0.78
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aj 264.00  70.63    1.01    0.81
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aw 264.00 130.34    1.01    0.81
s(measurement.no,speaker):ToneVarDiphInt.ord2 TJ aj 264.00 101.64    1.01    0.79
s(measurement.no,speaker):ToneVarDiphInt.ord2 TJ aw 264.00 151.84    1.01    0.79
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aj 264.00 150.34    1.01    0.81
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aw 264.00 180.71    1.01    0.77
s(measurement.no,speaker):ToneVarDiphInt.ord3 TJ aj 264.00 148.59    1.01    0.73
s(measurement.no,speaker):ToneVarDiphInt.ord3 TJ aw 264.00 201.37    1.01    0.80
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aj 264.00 175.24    1.01    0.76
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aw 264.00 186.59    1.01    0.74
s(measurement.no,speaker):ToneVarDiphInt.ord4 TJ aj 264.00 177.72    1.01    0.77
s(measurement.no,speaker):ToneVarDiphInt.ord4 TJ aw 264.00 185.45    1.01    0.74
s(measurement.no,character)                         330.00  25.56    1.01    0.77
s(measurement.no,character):sex.ordM                330.00  73.75    1.01    0.79
s(measurement.no,character):order.ordT              330.00  60.41    1.01    0.80
s(measurement.no,character):type.ord2               330.00  99.03    1.01    0.79
s(measurement.no,character):variety.ordTJ           330.00  30.86    1.01    0.79

1.6 XA_F1_f0_Optimized

XA_F1_f0_Optimized_AR1 <- readRDS("XA_F1_f0_Optimized_AR1.rds")

summary(XA_F1_f0_Optimized_AR1, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(f0_10Z, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(f0_10Z, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(durationZ, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1)

Parametric coefficients:
                 Estimate Std. Error t value Pr(>|t|)    
(Intercept)       0.32718    0.08708   3.757 0.000172 ***
DiphVar.ordaj XA -0.45342    0.06871  -6.599 4.22e-11 ***
DiphVar.ordaw SM -0.36306    0.08095  -4.485 7.34e-06 ***
DiphVar.ordaw XA -0.63872    0.09152  -6.979 3.06e-12 ***
sex.ordM         -0.09160    0.07616  -1.203 0.229110    
type.ord2         0.18850    0.01042  18.096  < 2e-16 ***
order.ordX        0.05157    0.07369   0.700 0.484078    
leftSegment.ordn  0.03620    0.07483   0.484 0.628549    
leftSegment.ordp -0.16192    0.06887  -2.351 0.018728 *  
leftSegment.ordt -0.20860    0.07753  -2.691 0.007139 ** 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                               edf  Ref.df       F  p-value    
s(measurement.no)                            9.677   9.727 140.469  < 2e-16 ***
s(f0_10Z)                                    4.705   5.271   5.249 6.43e-05 ***
s(durationZ)                                 1.000   1.000   5.190 0.022721 *  
ti(measurement.no,f0_10Z)                   29.703  40.625   2.581  < 2e-16 ***
ti(measurement.no,durationZ)                 9.545   9.915  36.881  < 2e-16 ***
ti(f0_10Z,durationZ)                        16.284  23.234   1.283 0.163466    
ti(measurement.no,durationZ,f0_10Z)        100.360 156.221   1.103 0.186649    
ti(measurement.no,f0_10Z):DiphVar.ordaj XA   8.890  13.148   3.041 0.000164 ***
ti(measurement.no,f0_10Z):DiphVar.ordaw SM   9.195  13.554   0.959 0.479459    
ti(measurement.no,f0_10Z):DiphVar.ordaw XA  11.333  16.468   2.504 0.000674 ***
ti(measurement.no,f0_10Z):sex.ordM          30.326  40.107   2.725  < 2e-16 ***
s(measurement.no):DiphVar.ordaj XA           5.660   6.669   9.776  < 2e-16 ***
s(measurement.no):DiphVar.ordaw SM           5.562   6.279  12.659  < 2e-16 ***
s(measurement.no):DiphVar.ordaw XA           7.562   8.262  18.876  < 2e-16 ***
s(measurement.no):type.ord2                  5.453   6.903  37.250  < 2e-16 ***
s(measurement.no):order.ordX                 1.000   1.001   0.346 0.556695    
s(measurement.no):sex.ordM                   3.564   3.741   3.880 0.004742 ** 
s(measurement.no):leftSegment.ordn           8.090   8.660   9.882  < 2e-16 ***
s(measurement.no):leftSegment.ordp           7.725   8.405   5.768 2.95e-07 ***
s(measurement.no):leftSegment.ordt           4.071   4.649   2.535 0.042103 *  
s(f0_10Z):DiphVar.ordaj XA                   2.790   3.456   1.544 0.162136    
s(f0_10Z):DiphVar.ordaw SM                   2.408   2.883   1.201 0.315758    
s(f0_10Z):DiphVar.ordaw XA                   3.617   4.400   2.279 0.053501 .  
s(f0_10Z):sex.ordM                           4.419   4.978   3.711 0.002604 ** 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.767   Deviance explained =   78%
fREML =  11277  Scale est. = 0.18419   n = 23087

gam.check(XA_F1_f0_Optimized_AR1)

Method: fREML   Optimizer: perf chol
$grad
 [1]  1.167429e-05  4.113266e-06 -1.012098e-04  3.254662e-07 -1.187627e-06 -2.092011e-05 -1.312776e-04  2.601687e-05  1.152224e-05 -2.270231e-05  4.808773e-06  3.144398e-06
[13] -2.038620e-07  1.337879e-07 -1.895283e-06 -3.977442e-08 -1.629072e-06 -1.514063e-06  1.629415e-06 -8.637150e-07 -5.510616e-07  4.150609e-07 -2.208157e-07 -6.859182e-07
[25] -1.489159e-04 -1.055427e-07  1.916101e-07  2.141823e-07 -1.204845e-06 -1.575941e-06 -1.110227e-06 -1.434975e-06  4.071912e-07  5.130330e-05  1.375057e-06 -3.398928e-06
[37]  1.770467e-06  1.371775e-05  8.161642e-08 -6.983611e-06 -4.566413e-07  2.277415e-06 -3.264497e-06  1.160418e-05  1.375056e-06 -1.147049e-05 -3.264497e-06  2.122063e-05
[49]  1.375057e-06  3.832966e-04

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]         [,10]         [,11]         [,12]
   4.298349e+00  3.538000e-03 -7.220258e-08 -4.770041e-02  3.794090e-02 -7.663566e-03 -1.563911e-06 -1.345105e-03 -1.426753e-04 -9.343277e-05 -8.376863e-04 -1.311886e-03
   3.538000e-03  1.883072e+00 -4.580632e-06  1.345194e-02 -2.056753e-02 -1.392081e-03  2.017340e-07 -4.811911e-02 -1.449456e-02  8.743335e-03 -8.896695e-03 -1.807364e-02
  -7.220258e-08 -4.580632e-06  1.012017e-04 -5.806958e-08 -1.264893e-06  1.876628e-08 -1.281144e-10 -2.494303e-05 -1.138470e-05 -6.536929e-06 -9.071113e-06 -4.142438e-06
  -4.770041e-02  1.345194e-02 -5.806958e-08  4.439465e+00  1.127001e+00  2.920379e-02 -8.191525e-07 -9.701599e-03 -5.347355e-03 -7.730154e-02  1.081460e-02 -2.833223e-02
   3.794090e-02 -2.056753e-02 -1.264893e-06  1.127001e+00  1.853183e+00  4.957529e-03  2.451850e-06 -2.344078e-02 -1.422968e-02  2.127056e-02 -6.955505e-02 -9.548598e-02
  -7.663566e-03 -1.392081e-03  1.876628e-08  2.920379e-02  4.957529e-03  4.046393e+00  2.127985e-05 -1.805183e-02 -4.471485e-03 -5.097976e-02 -2.840268e-03 -2.833734e-03
  -1.563911e-06  2.017340e-07 -1.281144e-10 -8.191525e-07  2.451850e-06  2.127985e-05  1.306007e-04 -5.561604e-07 -2.447249e-07  2.800242e-05  3.851481e-06  8.859483e-07
  -1.345105e-03 -4.811911e-02 -2.494303e-05 -9.701599e-03 -2.344078e-02 -1.805183e-02 -5.561604e-07  1.131849e+00  3.474070e-01 -6.558696e-02  3.411942e-03 -8.636723e-02
  -1.426753e-04 -1.449456e-02 -1.138470e-05 -5.347355e-03 -1.422968e-02 -4.471485e-03 -2.447249e-07  3.474070e-01  5.947824e-01 -3.006292e-02  5.800816e-02  1.979361e-02
  -9.343277e-05  8.743335e-03 -6.536929e-06 -7.730154e-02  2.127056e-02 -5.097976e-02  2.800242e-05 -6.558696e-02 -3.006292e-02  3.712764e+00  6.170455e-01  9.407861e-01
  -8.376863e-04 -8.896695e-03 -9.071113e-06  1.081460e-02 -6.955505e-02 -2.840268e-03  3.851481e-06  3.411942e-03  5.800816e-02  6.170455e-01  3.344273e+00  8.936965e-01
  -1.311886e-03 -1.807364e-02 -4.142438e-06 -2.833223e-02 -9.548598e-02 -2.833734e-03  8.859483e-07 -8.636723e-02  1.979361e-02  9.407861e-01  8.936965e-01  3.223467e+00
   5.313377e-03 -2.680981e-03  1.449824e-07  4.337527e-02  3.729828e-02  7.708199e-04  3.406874e-07  1.878996e-03  4.016632e-03 -8.208510e-03 -3.631158e-03 -1.812339e-02
   1.472810e-03 -1.072293e-02 -2.223542e-07 -3.874085e-03  1.683085e-02  2.416041e-03 -6.866496e-08 -1.022605e-02 -6.812898e-04 -2.133391e-02  2.069228e-03 -2.409500e-02
  -3.468990e-03  1.419856e-03  2.689721e-07  2.214794e-01  1.311897e-02  6.377091e-03  1.935044e-06 -4.238122e-03  2.204380e-03 -1.339215e-02  1.218567e-03  8.898868e-03
   3.618040e-04 -3.036666e-03 -3.068661e-08  1.218882e-02 -6.553018e-02  1.143862e-03  5.174897e-08 -9.180670e-03 -2.250181e-03 -1.190166e-02  1.262040e-02  1.391891e-02
   8.461948e-03 -6.233478e-03  6.137473e-07  6.378704e-02  1.136667e-01  9.105169e-04  7.067673e-07  1.557430e-03 -1.798341e-03  3.738341e-02 -7.953866e-03  1.137937e-02
   5.517725e-04 -2.013180e-02  6.463719e-07 -1.213195e-02  5.814502e-02 -4.205063e-04  4.920520e-07 -8.763840e-03 -5.498046e-03  1.572973e-02 -3.876968e-03 -4.075433e-02
  -1.301333e-02  7.961833e-03 -4.594439e-07 -3.022879e-01  7.214076e-02 -8.752220e-03  8.386265e-08  1.555496e-02  9.298969e-03  2.256439e-02  2.991033e-02  3.548363e-02
  -3.961794e-03  2.525921e-04  2.342560e-07 -3.129248e-02  4.164048e-02 -4.613883e-03  9.751410e-07 -2.769255e-02 -3.319838e-03  2.698983e-02  3.538638e-03 -1.772132e-01
          [,13]         [,14]         [,15]         [,16]         [,17]         [,18]         [,19]         [,20]         [,21]         [,22]         [,23]         [,24]
   5.313377e-03  1.472810e-03 -3.468990e-03  3.618040e-04  8.461948e-03  5.517725e-04 -1.301333e-02 -3.961794e-03 -2.599494e-02 -3.553107e-02 -9.182386e-02 -1.554416e-02
  -2.680981e-03 -1.072293e-02  1.419856e-03 -3.036666e-03 -6.233478e-03 -2.013180e-02  7.961833e-03  2.525921e-04  3.687307e-03  1.265281e-03  4.402759e-03  1.263194e-03
   1.449824e-07 -2.223542e-07  2.689721e-07 -3.068661e-08  6.137473e-07  6.463719e-07 -4.594439e-07  2.342560e-07  2.653267e-07 -2.536738e-08  1.341063e-07 -1.027637e-08
   4.337527e-02 -3.874085e-03  2.214794e-01  1.218882e-02  6.378704e-02 -1.213195e-02 -3.022879e-01 -3.129248e-02  1.753253e-02 -1.236627e-02 -2.803286e-02  7.970199e-03
   3.729828e-02  1.683085e-02  1.311897e-02 -6.553018e-02  1.136667e-01  5.814502e-02  7.214076e-02  4.164048e-02  1.006043e-02 -2.684790e-03  1.056637e-02 -1.662279e-02
   7.708199e-04  2.416041e-03  6.377091e-03  1.143862e-03  9.105169e-04 -4.205063e-04 -8.752220e-03 -4.613883e-03 -1.433224e-03 -1.222623e-03  1.413214e-02 -3.734909e-03
   3.406874e-07 -6.866496e-08  1.935044e-06  5.174897e-08  7.067673e-07  4.920520e-07  8.386265e-08  9.751410e-07  6.473882e-09 -5.632417e-07  2.998577e-08  1.212782e-06
   1.878996e-03 -1.022605e-02 -4.238122e-03 -9.180670e-03  1.557430e-03 -8.763840e-03  1.555496e-02 -2.769255e-02  4.972285e-04 -6.241088e-03  5.679970e-05 -3.621005e-04
   4.016632e-03 -6.812898e-04  2.204380e-03 -2.250181e-03 -1.798341e-03 -5.498046e-03  9.298969e-03 -3.319838e-03  5.792376e-03 -9.053634e-04 -6.651727e-04 -6.337341e-03
  -8.208510e-03 -2.133391e-02 -1.339215e-02 -1.190166e-02  3.738341e-02  1.572973e-02  2.256439e-02  2.698983e-02  5.000542e-03 -1.349755e-02 -1.930522e-02  1.555934e-02
  -3.631158e-03  2.069228e-03  1.218567e-03  1.262040e-02 -7.953866e-03 -3.876968e-03  2.991033e-02  3.538638e-03  1.616855e-03 -5.745870e-03 -1.601944e-03 -6.067574e-06
  -1.812339e-02 -2.409500e-02  8.898868e-03  1.391891e-02  1.137937e-02 -4.075433e-02  3.548363e-02 -1.772132e-01 -4.761335e-03 -1.193169e-02 -1.266073e-02  8.146280e-03
   4.812163e-01  1.143344e-01  6.142262e-02  6.408769e-02 -8.669890e-02 -2.178396e-03 -3.494751e-02  9.558618e-03  8.540937e-02 -6.778927e-03  3.338438e-03  8.942940e-03
   1.143344e-01  8.518728e-01  5.451671e-03 -3.967931e-02 -3.063372e-02 -1.132128e-01 -1.351188e-02 -1.542456e-03 -1.567420e-02  1.940784e-03 -9.820838e-05  9.852648e-03
   6.142262e-02  5.451671e-03  8.340454e-01  2.043636e-01  3.036869e-02  2.113879e-03 -5.898835e-02  5.673298e-03  1.594225e-02  1.677818e-02 -3.503146e-03 -1.604965e-04
   6.408769e-02 -3.967931e-02  2.043636e-01  5.667167e-01  4.186920e-02 -9.552632e-03 -1.714213e-02 -1.351985e-02  1.212940e-02 -3.441259e-02  3.101780e-03 -4.888308e-03
  -8.669890e-02 -3.063372e-02  3.036869e-02  4.186920e-02  5.934549e-01  6.189488e-02  4.761268e-02  1.519860e-02 -2.219571e-03  1.987406e-02  6.790667e-02  2.503657e-03
  -2.178396e-03 -1.132128e-01  2.113879e-03 -9.552632e-03  6.189488e-02  1.500117e+00  1.545032e-02 -1.590007e-02  8.187697e-03 -2.670132e-03  2.607037e-02 -4.285648e-03
  -3.494751e-02 -1.351188e-02 -5.898835e-02 -1.714213e-02  4.761268e-02  1.545032e-02  3.454118e+00  7.163016e-01 -4.331633e-03  1.545514e-03 -2.143004e-03  1.069564e-02
   9.558618e-03 -1.542456e-03  5.673298e-03 -1.351985e-02  1.519860e-02 -1.590007e-02  7.163016e-01  2.387878e+00 -8.613679e-03  1.816809e-03 -3.913078e-03 -1.068895e-02
          [,25]         [,26]         [,27]         [,28]         [,29]         [,30]         [,31]         [,32]         [,33]         [,34]         [,35]         [,36]
  -1.001691e-05 -6.103057e-02  1.017109e-01 -1.409479e-01 -7.891760e-02  1.278731e-03  6.652828e-04  2.435915e-04  9.635761e-04  5.859525e-02  1.405291e-04  1.927068e-04
   2.625291e-07  3.406052e-03  3.959951e-04  7.427728e-04  2.290309e-03 -7.482064e-02 -1.443065e-01 -1.016052e-01  1.168288e-01  3.486985e-02  5.278254e-03  1.103914e-03
  -5.065705e-13 -6.106491e-08  7.915447e-08  2.139578e-08  3.264239e-07  1.003138e-06  8.708137e-07  1.110515e-06  4.126348e-07 -2.612945e-07 -1.303714e-06 -7.839835e-07
   5.519727e-07 -2.127854e-02  5.857007e-03  7.051342e-03  9.928968e-02 -2.249467e-03 -6.935862e-04 -5.146961e-03 -5.804815e-03 -1.380203e-01 -1.936142e-03 -4.023572e-02
  -4.126806e-09 -1.656739e-02  5.468109e-03 -2.118322e-03  1.438382e-02 -6.874744e-03  2.852803e-03 -1.710454e-02 -3.195308e-02 -1.294075e-01 -4.122691e-03 -2.097964e-02
  -3.514001e-08 -1.306094e-03 -3.105010e-02 -1.303773e-02  2.345010e-02 -1.041014e-03  4.068251e-04 -7.327236e-04  8.280234e-04  5.628374e-03  9.032108e-04  1.702394e-02
   3.958445e-11  1.025233e-07 -1.522085e-07 -4.532569e-07  6.909699e-07  3.851607e-07  2.000445e-07  3.055292e-07 -3.974878e-07 -8.085511e-06  1.218098e-07 -1.809721e-06
  -5.247943e-07  4.684800e-04 -9.969831e-04  7.240421e-04  3.361708e-03  7.101579e-04  1.858411e-03  5.694341e-03  8.658103e-03  6.464159e-03  1.763938e-02  4.637783e-02
   1.023658e-07 -4.731469e-05  2.084736e-03 -1.051907e-03  1.625973e-03  4.120468e-03  3.173418e-03  6.709378e-03  2.489688e-03  5.395049e-03  9.136309e-03  2.726090e-02
   1.184003e-06  2.235132e-03 -8.808748e-04  3.141253e-02  1.353916e-02 -3.020851e-03  7.121960e-03  8.499255e-03 -7.959646e-03 -1.624623e-01 -8.641043e-03  1.213549e-01
   3.953345e-07  9.149661e-04  6.184594e-03  1.759353e-02 -4.451167e-03 -4.248344e-04  1.141098e-02 -1.665428e-02  4.935907e-04 -1.771852e-02 -5.326664e-03  1.562126e-01
   1.059247e-07 -6.295680e-03  1.153081e-03  1.142580e-02 -7.250765e-03 -1.053149e-02  4.202515e-03 -7.409267e-03  6.732316e-03  1.767240e-02 -6.707349e-03  1.167008e-01
  -2.821951e-07 -5.265177e-03 -6.067137e-05  3.845297e-03 -7.393764e-03  9.120852e-03 -4.728365e-03  9.129145e-04  6.036507e-04  1.444668e-02  2.762420e-03 -1.212546e-02
   1.569794e-07 -7.974802e-03 -2.558504e-03 -1.730468e-03 -3.073079e-03 -2.948815e-02 -6.918893e-03 -7.085860e-06  1.062511e-02 -1.179452e-02  1.452525e-03  8.080329e-02
  -3.113525e-07  3.867082e-03  1.197479e-02 -4.197619e-03  4.015539e-03  2.426846e-03  2.596753e-03  8.197131e-03  4.471255e-03  1.418095e-02 -8.515112e-04  8.771206e-03
   1.838820e-08  2.617671e-03  2.707710e-03 -3.250436e-03  1.824571e-03 -6.170820e-03 -8.098546e-03  6.262818e-03  4.539624e-03  9.192616e-03 -1.726000e-03 -2.533064e-04
   3.075984e-07 -2.734047e-03  4.046405e-03  3.392468e-03  4.177208e-03 -7.326535e-04 -1.550313e-02 -2.259659e-02 -1.549931e-03 -7.229148e-03  3.161925e-03 -6.702593e-03
   3.742621e-07 -2.566199e-03 -2.631314e-04 -1.833002e-03 -1.773435e-03 -1.909108e-03 -9.014047e-04  2.131619e-02 -1.141339e-02 -4.087035e-02 -1.885997e-03 -1.406770e-02
  -1.253010e-06  1.581468e-01  9.239903e-03  2.813132e-03  6.329712e-04  1.066991e-02 -1.824232e-03  3.851761e-03 -6.371351e-02  1.839537e-01  2.447527e-03 -2.569688e-02
  -3.479199e-07  9.688773e-02 -6.544316e-03 -5.000585e-03 -3.479406e-03  2.872887e-03 -1.366267e-02  6.506249e-03  1.958351e-02  1.692771e-01 -8.612815e-03  4.914419e-02
          [,37]         [,38]         [,39]         [,40]         [,41]         [,42]         [,43]         [,44]         [,45]         [,46]         [,47]         [,48]
  -4.443600e-04 -3.897563e-03 -1.185080e-04  1.250561e-02 -1.619926e-04  1.461547e-01 -1.184494e-03 -2.373547e-03  1.405291e-04 -9.161087e-03 -1.184494e-03  2.753055e-03
   2.348873e-03 -1.363465e-02  1.447067e-03  8.441068e-03  7.623081e-03 -4.224051e-02  5.579009e-03 -1.234946e-01  5.278254e-03  2.253348e-01  5.579009e-03 -3.715349e-03
  -9.924872e-07  9.079989e-07 -4.001690e-07 -1.004308e-06  1.064133e-06 -2.573083e-07  2.736211e-06 -7.111252e-06 -1.303714e-06  5.141654e-06  2.736211e-06 -2.211003e-05
   1.267009e-02 -8.420750e-02 -3.907412e-03 -4.359930e-03  3.691119e-03 -1.313246e-01  8.100706e-03  5.070555e-02 -1.936142e-03  1.152382e-01  8.100706e-03  1.729253e-02
   1.503403e-03 -1.946262e-02  8.642712e-03 -1.273204e-01 -6.762925e-03 -1.039989e-01  3.316886e-02  3.317265e-01 -4.122691e-03 -3.312747e-02  3.316885e-02  9.474905e-03
  -1.188924e-05  8.660683e-03  7.345690e-05  4.717024e-02  1.418676e-04  1.828625e-02 -1.844959e-04  6.008189e-03  9.032108e-04 -1.212740e-02 -1.844959e-04  7.189327e-03
  -3.085503e-08  1.119524e-06 -1.398999e-07  1.269465e-06 -6.823853e-08 -1.339768e-06  4.644442e-07 -1.336758e-07  1.218098e-07  3.265582e-06  4.644441e-07  1.735657e-06
  -8.221307e-03  2.857828e-02  1.348249e-02  7.715095e-02  4.293409e-03  6.402546e-02  4.160103e-03 -1.035258e-01  1.763938e-02  2.041748e-02  4.160103e-03 -1.041255e-01
  -3.023309e-02 -7.078877e-03  1.880837e-02  3.851002e-02  6.166638e-03  1.810442e-02  1.240944e-02  4.905810e-02  9.136309e-03  2.632275e-02  1.240944e-02  5.810948e-02
   1.018475e-02  3.431713e-02  8.635339e-03  1.624732e-01 -2.334043e-04 -7.490915e-02 -1.088560e-02  1.920274e-01 -8.641043e-03 -5.167227e-03 -1.088560e-02 -3.741546e-02
  -1.152464e-02 -1.052940e-01 -3.542386e-03  4.614845e-02 -5.152886e-03 -1.542245e-02 -3.823363e-03 -9.098663e-02 -5.326664e-03 -2.668433e-02 -3.823363e-03  4.471351e-02
  -1.055908e-02 -9.248294e-02 -3.377854e-03 -5.092386e-02  1.563660e-03  1.582648e-01  9.595693e-03  6.959416e-02 -6.707349e-03  3.802988e-02  9.595693e-03  4.047263e-02
  -1.659239e-03  2.948515e-02 -7.153342e-04  8.583845e-04  3.701427e-03 -1.274737e-01 -1.573098e-02  2.792498e-02  2.762420e-03  1.100763e-01 -1.573098e-02  4.544219e-02
   1.542792e-02  2.625264e-02 -4.220130e-03 -1.557777e-02  1.431161e-03 -8.770065e-02  1.282588e-02  3.295087e-02  1.452525e-03  9.602018e-02  1.282588e-02  3.360187e-02
  -4.399961e-03 -9.185560e-03 -8.205715e-03 -3.011544e-02 -1.645284e-03  5.176700e-03  2.261293e-03 -1.793896e-02 -8.515112e-04  4.001037e-02  2.261293e-03  6.290455e-03
  -9.105034e-03  6.913083e-03 -1.406633e-02  1.048854e-03 -3.575686e-03 -3.353520e-02 -5.635175e-03  5.427337e-03 -1.726000e-03  1.986500e-02 -5.635175e-03  2.006318e-03
   4.286798e-03  2.116667e-02  5.051981e-03 -6.722864e-02  4.364200e-03 -2.355786e-01 -1.483289e-02 -2.188852e-02  3.161925e-03 -9.465552e-03 -1.483289e-02  2.728460e-02
  -3.643914e-03  5.610041e-02 -9.197090e-03  1.194795e-01  2.964008e-02 -9.706778e-02  1.726662e-03 -7.372879e-02 -1.885997e-03  2.321800e-01  1.726662e-03 -1.103222e-02
   3.769985e-03  5.604884e-02  7.490842e-03 -2.890498e-02  2.306967e-03 -8.546367e-02  5.055618e-03 -3.411775e-02  2.447527e-03 -7.833420e-02  5.055618e-03 -1.805739e-02
   1.034703e-02  5.758475e-02 -8.220334e-04  5.133795e-02 -2.440926e-03 -2.409803e-02  6.461945e-03  1.939381e-02 -8.612815e-03 -1.081795e-02  6.461945e-03 -8.649394e-03
          [,49]         [,50]
   1.405291e-04 -4.338530e+00
   5.278254e-03 -1.852267e+00
  -1.303714e-06 -4.337162e-05
  -1.936142e-03 -7.790852e+00
  -4.122691e-03 -6.560739e+00
   9.032108e-04 -4.271857e+00
   1.218098e-07 -2.496494e-04
   1.763938e-02 -4.023679e+00
   9.136309e-03 -3.618273e+00
  -8.641043e-03 -2.188539e+01
  -5.326664e-03 -1.478059e+01
  -6.707349e-03 -1.301387e+01
   2.762420e-03 -1.849774e+00
   1.452525e-03 -2.094994e+00
  -8.515112e-04 -2.261456e+00
  -1.726000e-03 -1.836199e+00
   3.161925e-03 -2.407642e+00
  -1.885997e-03 -2.758768e+00
   2.447527e-03 -8.596225e+00
  -8.612815e-03 -6.066909e+00
 [ reached 'max' / getOption("max.print") -- omitted 30 rows ]

Model rank =  4158 / 4158 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                k'     edf k-index p-value    
s(measurement.no)                            10.00    9.68    1.02    0.92    
s(f0_10Z)                                    10.00    4.70    0.99    0.16    
s(durationZ)                                 10.00    1.00    0.83  <2e-16 ***
ti(measurement.no,f0_10Z)                   100.00   29.70    0.99    0.35    
ti(measurement.no,durationZ)                100.00    9.54    1.02    0.74    
ti(f0_10Z,durationZ)                        100.00   16.28    1.00    0.65    
ti(measurement.no,durationZ,f0_10Z)        1000.00  100.36    0.99    0.36    
ti(measurement.no,f0_10Z):DiphVar.ordaj XA  100.00    8.89    0.99    0.40    
ti(measurement.no,f0_10Z):DiphVar.ordaw SM  100.00    9.20    0.99    0.40    
ti(measurement.no,f0_10Z):DiphVar.ordaw XA  100.00   11.33    0.99    0.39    
ti(measurement.no,f0_10Z):sex.ordM          100.00   30.33    0.99    0.41    
s(measurement.no):DiphVar.ordaj XA           10.00    5.66    1.02    0.86    
s(measurement.no):DiphVar.ordaw SM           10.00    5.56    1.02    0.83    
s(measurement.no):DiphVar.ordaw XA           10.00    7.56    1.02    0.87    
s(measurement.no):type.ord2                  10.00    5.45    1.02    0.88    
s(measurement.no):order.ordX                 10.00    1.00    1.02    0.91    
s(measurement.no):sex.ordM                   10.00    3.56    1.02    0.90    
s(measurement.no):leftSegment.ordn           10.00    8.09    1.02    0.88    
s(measurement.no):leftSegment.ordp           10.00    7.73    1.02    0.88    
s(measurement.no):leftSegment.ordt           10.00    4.07    1.02    0.90    
s(f0_10Z):DiphVar.ordaj XA                   10.00    2.79    0.99    0.28    
s(f0_10Z):DiphVar.ordaw SM                   10.00    2.41    0.99    0.16    
s(f0_10Z):DiphVar.ordaw XA                   10.00    3.62    0.99    0.18    
s(f0_10Z):sex.ordM                           10.00    4.42    0.99    0.16    
s(measurement.no,speaker)                   264.00  191.01    1.02    0.88    
s(measurement.no,speaker):DiphVar.ordaj XA  264.00  109.57    1.02    0.91    
s(measurement.no,speaker):DiphVar.ordaw SM  264.00  107.67    1.02    0.92    
s(measurement.no,speaker):DiphVar.ordaw XA  264.00  109.92    1.02    0.89    
s(measurement.no,character)                 352.00  148.90    1.02    0.88    
s(f0_10Z,speaker)                           264.00  122.02    0.99    0.23    
s(f0_10Z,character)                         352.00  111.77    0.99    0.21    
s(durationZ,speaker)                        264.00  110.27    0.83  <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

1.7 TJ_F1_f0_Optimized

TJ_F1_f0_Optimized_AR1 <- readRDS("TJ_F1_f0_Optimized_AR1.rds")

summary(TJ_F1_f0_Optimized_AR1, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(f0_10Z, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(f0_10Z, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(durationZ, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1)

Parametric coefficients:
                 Estimate Std. Error t value Pr(>|t|)    
(Intercept)       0.22892    0.05707   4.011 6.07e-05 ***
DiphVar.ordaj TJ  0.07478    0.04471   1.672  0.09445 .  
DiphVar.ordaw SM -0.30834    0.05028  -6.132 8.82e-10 ***
DiphVar.ordaw TJ -0.31845    0.04960  -6.420 1.39e-10 ***
sex.ordM         -0.07013    0.05663  -1.238  0.21559    
type.ord2         0.07264    0.00826   8.794  < 2e-16 ***
order.ordT       -0.01631    0.05308  -0.307  0.75870    
leftSegment.ordn  0.04620    0.03918   1.179  0.23834    
leftSegment.ordp -0.19324    0.03521  -5.488 4.11e-08 ***
leftSegment.ordt -0.10301    0.03909  -2.635  0.00841 ** 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                              edf  Ref.df       F  p-value    
s(measurement.no)                           9.676   9.739 186.756  < 2e-16 ***
s(f0_10Z)                                   4.683   5.323   2.452  0.02146 *  
s(durationZ)                                1.000   1.001  16.211 5.69e-05 ***
ti(measurement.no,f0_10Z)                   6.459   7.612   6.723  < 2e-16 ***
ti(measurement.no,durationZ)                9.351   9.837  37.535  < 2e-16 ***
ti(f0_10Z,durationZ)                       20.216  28.120   1.438  0.06648 .  
ti(measurement.no,durationZ,f0_10Z)        83.273 128.758   1.182  0.07811 .  
ti(measurement.no,f0_10Z):DiphVar.ordaj TJ  5.939   7.070   2.722  0.00889 ** 
ti(measurement.no,f0_10Z):DiphVar.ordaw SM 38.460  50.564   2.173 3.56e-06 ***
ti(measurement.no,f0_10Z):DiphVar.ordaw TJ 14.093  21.070   1.278  0.17393    
ti(measurement.no,f0_10Z):sex.ordM         33.184  45.593   2.246 3.84e-06 ***
s(measurement.no):DiphVar.ordaj TJ          1.000   1.001   1.223  0.26882    
s(measurement.no):DiphVar.ordaw SM          8.084   8.606  26.012  < 2e-16 ***
s(measurement.no):DiphVar.ordaw TJ          7.445   7.987  28.531  < 2e-16 ***
s(measurement.no):type.ord2                 7.750   9.078  48.045  < 2e-16 ***
s(measurement.no):order.ordT                1.877   1.943   1.378  0.19757    
s(measurement.no):sex.ordM                  2.119   2.233   1.717  0.15413    
s(measurement.no):leftSegment.ordn          7.453   8.403   8.813  < 2e-16 ***
s(measurement.no):leftSegment.ordp          7.319   8.298   5.431  < 2e-16 ***
s(measurement.no):leftSegment.ordt          5.375   6.378   7.266 3.50e-07 ***
s(f0_10Z):DiphVar.ordaj TJ                  1.000   1.001   1.992  0.15806    
s(f0_10Z):DiphVar.ordaw SM                  4.473   5.439   2.513  0.02309 *  
s(f0_10Z):DiphVar.ordaw TJ                  1.006   1.011  10.597  0.00106 ** 
s(f0_10Z):sex.ordM                          3.798   4.301   2.662  0.03066 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.832   Deviance explained = 84.1%
fREML = 8517.4  Scale est. = 0.13787   n = 23230

gam.check(TJ_F1_f0_Optimized_AR1)

Method: fREML   Optimizer: perf chol
$grad
 [1]  3.155934e-06  6.360035e-07 -1.001426e-04 -3.842992e-05 -1.654281e-04 -1.117769e-05 -8.991813e-05 -1.184021e-06
 [9] -5.420167e-07 -2.256218e-06  7.032787e-07 -1.019720e-06 -9.965501e-05  1.537260e-06 -2.315471e-05  3.947234e-07
[17] -3.662632e-06  1.255805e-06  3.449984e-05  5.563382e-06 -1.723859e-04  3.637367e-07  7.741362e-07 -3.230097e-06
[25] -3.442377e-09  4.892385e-07 -2.665516e-06 -5.057224e-06 -7.687359e-06 -1.221854e-04  3.494827e-08 -6.079768e-05
[33] -3.134525e-07  3.150933e-06  1.121980e-07 -2.795270e-06 -2.442865e-07 -4.569763e-07  8.374673e-08 -2.274499e-06
[41] -1.431522e-07  1.145458e-06 -2.086611e-07  6.060774e-07  1.121984e-07 -1.531548e-06 -2.086613e-07 -1.574249e-06
[49]  1.121981e-07  1.475188e-04

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]
   4.323569e+00  2.850946e-05 -7.750722e-08  3.106243e-02 -3.151133e-06 -1.226276e-02  5.499625e-06  6.961156e-04  1.087205e-03
   2.850946e-05  1.111024e+00 -1.335659e-05  8.625186e-06 -6.352559e-07  2.537963e-03  4.914551e-07 -1.617651e-02  1.788432e-02
  -7.750722e-08 -1.335659e-05  1.001386e-04  6.297420e-07 -2.930259e-12  9.721672e-08 -2.269926e-10  4.155380e-06  1.913499e-05
   3.106243e-02  8.625186e-06  6.297420e-07  2.000174e+00  3.820263e-05  7.563929e-02 -5.762415e-06 -6.865387e-03 -4.801618e-05
  -3.151133e-06 -6.352559e-07 -2.930259e-12  3.820263e-05  1.652430e-04  1.115939e-05 -1.277596e-10  1.182608e-06  5.415321e-07
  -1.226276e-02  2.537963e-03  9.721672e-08  7.563929e-02  1.115939e-05  3.905542e+00  9.483732e-05  6.295491e-03  6.939884e-03
   5.499625e-06  4.914551e-07 -2.269926e-10 -5.762415e-06 -1.277596e-10  9.483732e-05  8.976441e-05  3.251896e-06  2.039619e-06
   6.961156e-04 -1.617651e-02  4.155380e-06 -6.865387e-03  1.182608e-06  6.295491e-03  3.251896e-06  1.266325e+00  1.659568e-01
   1.087205e-03  1.788432e-02  1.913499e-05 -4.801618e-05  5.415321e-07  6.939884e-03  2.039619e-06  1.659568e-01  1.657276e+00
   3.055589e-03 -2.082145e-02 -8.976637e-07  1.172356e-01  2.248431e-06 -2.179264e-02  5.030319e-05  2.509725e-01  4.665884e-02
  -8.787409e-04 -1.326128e-02 -2.245847e-06 -9.772867e-03 -7.014940e-07 -2.181044e-02  1.989125e-05 -1.424572e-02 -7.406586e-02
  -4.888149e-04  2.458654e-02 -4.061125e-06 -8.760242e-03  1.018136e-06 -1.606231e-02  9.552577e-06  8.400639e-02  1.217620e-03
   2.694665e-07  1.186821e-06 -4.568986e-11 -8.376398e-07 -1.183754e-10 -1.195632e-07  4.210205e-11  6.058347e-07  8.489326e-08
  -3.376775e-04 -1.220882e-03  1.707942e-06  1.151551e-03 -1.534908e-06 -8.053372e-04  3.094949e-06 -3.846705e-02  3.680337e-03
  -8.469597e-03 -2.554722e-02 -6.035133e-07  1.513262e-01  2.311396e-05  3.115731e-02  2.554872e-06 -1.803548e-02 -1.125411e-02
   1.437671e-03 -4.074753e-02  3.255633e-06  9.547136e-03 -3.940891e-07  1.808009e-03 -3.647799e-07 -7.431802e-02 -3.406374e-02
  -5.210355e-03 -1.309258e-02 -1.177276e-06 -9.620567e-02  3.662746e-06  8.846305e-03  1.329954e-07  6.655200e-03  6.883984e-03
  -1.191809e-03  9.623972e-03  1.944968e-06 -6.076754e-02 -1.251752e-06 -2.438881e-03 -9.306179e-07  7.940238e-03  3.038336e-03
   7.782952e-03  1.150969e-02  5.053108e-07 -5.596750e-01 -3.442799e-05 -1.590013e-02 -5.281046e-06  4.191087e-03 -9.277498e-03
  -5.429249e-03 -1.189216e-02 -7.044954e-06 -2.999601e-02 -5.551037e-06 -1.231526e-04  1.931122e-06  3.858265e-02  2.564177e-02
          [,10]         [,11]         [,12]         [,13]         [,14]         [,15]         [,16]         [,17]         [,18]
   3.055589e-03 -8.787409e-04 -4.888149e-04  2.694665e-07 -3.376775e-04 -8.469597e-03  1.437671e-03 -5.210355e-03 -1.191809e-03
  -2.082145e-02 -1.326128e-02  2.458654e-02  1.186821e-06 -1.220882e-03 -2.554722e-02 -4.074753e-02 -1.309258e-02  9.623972e-03
  -8.976637e-07 -2.245847e-06 -4.061125e-06 -4.568986e-11  1.707942e-06 -6.035133e-07  3.255633e-06 -1.177276e-06  1.944968e-06
   1.172356e-01 -9.772867e-03 -8.760242e-03 -8.376398e-07  1.151551e-03  1.513262e-01  9.547136e-03 -9.620567e-02 -6.076754e-02
   2.248431e-06 -7.014940e-07  1.018136e-06 -1.183754e-10 -1.534908e-06  2.311396e-05 -3.940891e-07  3.662746e-06 -1.251752e-06
  -2.179264e-02 -2.181044e-02 -1.606231e-02 -1.195632e-07 -8.053372e-04  3.115731e-02  1.808009e-03  8.846305e-03 -2.438881e-03
   5.030319e-05  1.989125e-05  9.552577e-06  4.210205e-11  3.094949e-06  2.554872e-06 -3.647799e-07  1.329954e-07 -9.306179e-07
   2.509725e-01 -1.424572e-02  8.400639e-02  6.058347e-07 -3.846705e-02 -1.803548e-02 -7.431802e-02  6.655200e-03  7.940238e-03
   4.665884e-02 -7.406586e-02  1.217620e-03  8.489326e-08  3.680337e-03 -1.125411e-02 -3.406374e-02  6.883984e-03  3.038336e-03
   3.370770e+00  1.094033e+00  3.458497e-01  3.664453e-06  2.673993e-02  8.869616e-02  9.556871e-03  3.296466e-02  4.124243e-02
   1.094033e+00  2.712724e+00  7.327720e-01  7.047838e-07 -2.239687e-02 -2.874227e-02 -3.121782e-02  2.221928e-02 -6.806706e-04
   3.458497e-01  7.327720e-01  2.040178e+00 -9.872238e-07 -5.232484e-02 -9.711637e-03 -1.497171e-01 -2.199125e-03 -2.320818e-02
   3.664453e-06  7.047838e-07 -9.872238e-07  9.914830e-05 -1.812533e-07  9.281826e-07  1.000196e-07  1.292023e-06 -4.397643e-06
   2.673993e-02 -2.239687e-02 -5.232484e-02 -1.812533e-07  9.619571e-01  7.592126e-03 -1.524871e-03  2.172186e-02 -3.564021e-03
   8.869616e-02 -2.874227e-02 -9.711637e-03  9.281826e-07  7.592126e-03  4.031916e+00  4.336820e-01 -1.487373e-01 -4.002839e-02
   9.556871e-03 -3.121782e-02 -1.497171e-01  1.000196e-07 -1.524871e-03  4.336820e-01  3.742593e+00  7.087758e-04  9.900072e-03
   3.296466e-02  2.221928e-02 -2.199125e-03  1.292023e-06  2.172186e-02 -1.487373e-01  7.087758e-04  1.221975e+00  5.475546e-01
   4.124243e-02 -6.806706e-04 -2.320818e-02 -4.397643e-06 -3.564021e-03 -4.002839e-02  9.900072e-03  5.475546e-01  1.173844e+00
  -3.577182e-02 -7.794536e-02 -6.047358e-02 -1.189734e-06 -1.316726e-02 -2.252582e-01 -9.538773e-02  3.649110e-02 -1.081486e-01
  -2.480769e-01 -9.945435e-03  3.536809e-02 -7.451243e-06 -4.239227e-02 -5.187387e-02  9.926798e-02 -6.214096e-03 -2.239909e-02
          [,19]         [,20]         [,21]         [,22]         [,23]         [,24]         [,25]         [,26]         [,27]
   7.782952e-03 -5.429249e-03  9.566839e-07 -1.802255e-02 -3.496620e-02  1.403764e-03 -1.680373e-02  9.795310e-03  7.017040e-02
   1.150969e-02 -1.189216e-02 -1.142682e-06 -3.889267e-03  3.531506e-03  2.083621e-03  1.211981e-03  2.466119e-03 -7.824668e-04
   5.053108e-07 -7.044954e-06 -5.525186e-11 -3.210906e-09  3.206961e-07  5.320379e-07 -5.766574e-08  3.844455e-07 -5.858572e-08
  -5.596750e-01 -2.999601e-02  1.403715e-06 -8.186912e-03 -4.366561e-03  3.684990e-02 -1.317497e-03 -4.671618e-03  2.960377e-02
  -3.442799e-05 -5.551037e-06  8.970032e-11 -3.636008e-07 -7.730716e-07  3.224466e-06  3.457323e-09 -4.875867e-07  2.660422e-06
  -1.590013e-02 -1.231526e-04  1.265525e-07  4.918062e-03  2.407189e-03 -2.412063e-02 -1.085214e-04 -1.360788e-03 -3.242101e-02
  -5.281046e-06  1.931122e-06  7.205226e-11  1.515878e-06 -6.835127e-07 -4.737970e-07  1.484943e-08  4.197627e-07 -3.406514e-06
   4.191087e-03  3.858265e-02  3.231121e-07 -6.823037e-04  8.018933e-05 -8.486078e-03 -8.197922e-04  6.003028e-03 -2.125597e-04
  -9.277498e-03  2.564177e-02  3.751424e-07  1.248038e-03  5.861424e-04 -2.220641e-03  1.107571e-03  1.715204e-03  1.360275e-03
  -3.577182e-02 -2.480769e-01  4.836607e-06  1.982900e-02 -1.150463e-02  2.129463e-02 -1.153408e-03  1.958489e-02 -1.464759e-02
  -7.794536e-02 -9.945435e-03  4.207390e-07 -1.076340e-02 -2.386744e-03 -1.807675e-02 -5.090601e-03  1.074582e-02 -6.595747e-05
  -6.047358e-02  3.536809e-02 -7.901789e-07 -3.956983e-03 -1.150627e-02 -9.436169e-03 -1.156013e-03  4.155738e-04 -7.859020e-03
  -1.189734e-06 -7.451243e-06 -4.864617e-10  1.691625e-07 -6.606941e-08 -4.438781e-07 -9.521081e-08 -5.459308e-07 -8.221238e-08
  -1.316726e-02 -4.239227e-02  4.981714e-07  2.625992e-03 -1.536166e-03 -5.243044e-03  1.002151e-03  2.643576e-03 -1.293214e-02
  -2.252582e-01 -5.187387e-02 -1.656140e-06 -7.545759e-02 -5.990202e-03  7.093562e-02  2.920846e-03 -5.399723e-04  2.037015e-02
  -9.538773e-02  9.926798e-02  5.743677e-07 -8.354771e-02  5.627513e-03 -5.262736e-04 -3.309775e-04  7.638711e-04  1.043113e-02
   3.649110e-02 -6.214096e-03 -2.010308e-06 -1.680919e-02 -6.932197e-02 -5.937446e-03  1.293097e-04 -1.626551e-02  6.143836e-03
  -1.081486e-01 -2.239909e-02 -9.292162e-07 -3.112149e-03 -5.856510e-02  1.148289e-02  2.166996e-03 -2.648017e-02  4.374442e-03
   4.514586e+00  1.259275e+00  5.157580e-07 -1.337614e-03  6.059369e-03 -1.727080e-02 -4.673573e-03  2.314569e-03  6.409243e-05
   1.259275e+00  1.596318e+00 -1.103339e-06  3.454565e-04 -2.056307e-02  5.256066e-03  4.036112e-03 -4.126232e-02 -5.547885e-03
          [,28]         [,29]         [,30]         [,31]         [,32]         [,33]         [,34]         [,35]         [,36]
  -1.205813e-01 -8.067794e-02 -3.119653e-07 -4.215597e-04  2.346068e-05  3.889179e-04  2.042207e-02  3.984817e-05 -3.180850e-02
  -1.881393e-04 -4.254762e-03  2.744538e-06  4.993300e-02 -3.002095e-04 -1.731678e-01  5.070909e-02 -1.644068e-02  3.195942e-02
   1.382748e-07 -1.483852e-07 -1.203740e-09 -5.239886e-06 -3.853320e-08 -1.650647e-06 -2.362554e-06  1.879687e-06 -2.002702e-06
   5.381754e-02  9.569353e-02  9.414450e-08  1.595323e-03 -2.897346e-05  3.036827e-03 -7.933240e-02  2.276561e-05 -7.839058e-02
   5.047516e-06  7.672191e-06  3.029153e-11 -3.499026e-08 -1.004230e-09  3.129219e-07 -3.144470e-06 -1.119260e-07  2.797375e-06
  -2.470873e-02  5.398171e-02  3.432237e-07 -1.883047e-04  8.426514e-06  1.576640e-03  1.543030e-02  2.072502e-04 -8.724988e-02
  -8.591122e-06  4.691901e-06 -4.081595e-11  3.580910e-08 -5.497610e-09 -8.717380e-08 -2.553025e-06 -1.134012e-07 -9.236327e-06
  -3.488373e-03 -4.061000e-03  1.435646e-06 -4.535332e-02 -1.057663e-04 -2.770957e-02 -1.411823e-03 -1.169560e-02  3.752439e-02
  -9.912710e-04 -5.708043e-04  1.611252e-06  2.998132e-02  1.044934e-04  2.594242e-03  2.395351e-03  3.847347e-03  6.506992e-02
   5.419540e-03  7.848172e-03  2.545137e-06  2.049324e-02  6.853591e-05 -5.952048e-03 -4.988836e-02  1.281480e-02 -1.959851e-02
   1.381026e-02 -1.968855e-03 -8.243545e-06 -2.535195e-03 -2.965367e-05  6.430603e-04 -5.744347e-03  7.375441e-03  2.079084e-04
   6.605970e-03  2.509411e-03 -6.491789e-06 -2.930465e-03 -1.297593e-04  2.524868e-02 -1.024838e-01 -3.992553e-03 -2.869465e-02
  -4.545137e-07  8.172952e-07 -6.252989e-10 -2.554607e-07 -5.234448e-09 -3.047339e-07 -3.316989e-06 -6.772493e-08 -5.302283e-06
   9.609418e-03  1.066907e-02 -2.885144e-06  2.866522e-03 -1.221650e-04  2.511732e-03  1.763332e-02 -2.238423e-03  5.352598e-02
   9.026860e-03  1.173109e-02 -1.422163e-07 -3.563122e-02  2.516320e-05 -1.224771e-02  2.254183e-02 -9.075761e-04 -2.422888e-02
   6.290991e-03  1.059409e-02 -2.249829e-06 -1.034846e-01  4.667799e-05 -1.615465e-02 -3.217367e-02 -8.885780e-03 -1.372663e-02
   2.816961e-03 -5.265894e-04  4.134437e-08 -3.841936e-03 -6.399462e-05  6.804799e-03 -6.309850e-02 -8.765318e-04 -4.901824e-02
  -3.788889e-03  1.794198e-03  3.229464e-07 -4.186588e-04  1.564281e-06 -9.646750e-03  2.812680e-02  1.325918e-03 -5.465538e-03
  -1.208745e-02 -2.542083e-04 -1.300388e-06 -1.601648e-02 -4.493576e-06 -4.085641e-02 -1.181973e-01  3.180413e-03 -4.019473e-02
  -4.225640e-03  9.562754e-04  5.630378e-06  1.736571e-02  1.986832e-04 -1.138272e-02 -7.631394e-03 -3.422085e-04 -3.633662e-02
          [,37]         [,38]         [,39]         [,40]         [,41]         [,42]         [,43]         [,44]         [,45]
  -1.591314e-03  1.784751e-02 -1.708843e-04 -6.965723e-03 -1.295314e-04  6.849770e-02  1.306282e-03 -1.320812e-03  3.984818e-05
  -1.028928e-02 -1.273863e-02  1.288670e-02  1.339257e-02  1.015130e-02  2.364525e-02  2.490335e-02  1.829517e-01 -1.644068e-02
  -2.830043e-06  1.296350e-06 -1.543426e-06 -1.301266e-06  1.576010e-06  6.809463e-06  2.822000e-06 -5.381677e-06  1.879688e-06
   5.429976e-03  3.821367e-03 -1.198780e-03 -1.768783e-02  2.310645e-03  1.174853e-01 -1.130033e-03  8.429381e-02  2.276561e-05
   2.434543e-07  4.544727e-07 -8.344521e-08  2.269620e-06  1.428307e-07 -1.153352e-06  2.084546e-07 -6.073800e-07 -1.119260e-07
   6.844416e-04  8.056668e-03  9.873140e-04  2.600818e-02  2.672937e-03  5.805645e-02  8.814640e-04  1.543845e-02  2.072502e-04
  -4.498205e-07  2.537953e-06  4.974114e-08  3.507065e-06 -3.453357e-07 -4.344382e-06  2.223243e-08  1.710290e-06 -1.134012e-07
  -9.241476e-03  2.695904e-02 -1.958644e-02  1.806079e-02 -1.165648e-02  6.702175e-02  1.927301e-03  2.885527e-01 -1.169560e-02
   6.235432e-02  3.782625e-02 -5.061831e-03 -1.350142e-02  6.261040e-02  4.226213e-02  3.280974e-03  1.627774e-01  3.847347e-03
   1.861078e-04 -9.477699e-02  3.447058e-03  1.775183e-01 -6.654795e-03  6.305270e-02 -9.398148e-03  4.247884e-02  1.281480e-02
   1.932348e-03  3.848563e-02  6.486573e-03  1.330109e-01 -9.424194e-03  1.795359e-02  2.225406e-02  1.042870e-01  7.375441e-03
  -2.925388e-02  5.962485e-02  7.488655e-03 -2.345101e-02 -1.258440e-02 -3.403892e-02 -7.510850e-03  2.623375e-02 -3.992553e-03
  -2.129034e-07  8.832223e-07  5.656511e-07  1.024244e-06  5.112979e-07  9.515625e-06 -5.251187e-07 -1.358020e-06 -6.772493e-08
  -2.828682e-02  7.854151e-03 -1.662541e-03  3.289333e-02  5.641330e-03  1.139786e-01 -4.837337e-03  3.764483e-02 -2.238423e-03
  -4.782115e-03 -6.084431e-02  1.065929e-02  2.139849e-03 -4.352072e-03  6.088378e-02 -6.260987e-03  5.065782e-04 -9.075761e-04
   3.109736e-03  6.647451e-02  9.733122e-03 -4.466780e-03 -1.899589e-03 -4.223257e-02 -1.763213e-02 -8.246211e-02 -8.885781e-03
   6.737535e-04 -3.674232e-02 -4.308981e-03  1.075371e-01 -1.783087e-03 -5.435662e-02 -2.060844e-03 -3.638566e-02 -8.765318e-04
   5.782524e-05 -3.425572e-02  4.040170e-03 -1.776574e-02  1.250455e-03 -8.602452e-02 -3.028309e-02 -1.572686e-02  1.325918e-03
   2.803052e-03  4.112206e-02  3.097393e-03 -1.198749e-01 -1.212133e-03 -1.168805e-01  1.735775e-03  1.176547e-02  3.180413e-03
   3.648991e-02 -3.648621e-02  2.455591e-02 -1.419729e-02  2.346301e-02 -1.306775e-01  1.632975e-02  4.048039e-02 -3.422085e-04
          [,46]         [,47]         [,48]         [,49]         [,50]
   8.259418e-04  1.306282e-03 -1.991462e-03  3.984818e-05 -4.338018e+00
   2.563888e-02  2.490335e-02  2.191838e-02 -1.644068e-02 -1.841710e+00
   1.052984e-05  2.822000e-06 -1.185725e-06  1.879687e-06 -1.187469e-04
   1.591027e-02 -1.130032e-03  2.865652e-02  2.276561e-05 -2.729374e+00
   1.529766e-06  2.084546e-07  1.570056e-06 -1.119260e-07 -1.471593e-04
   3.058613e-03  8.814640e-04  6.556064e-03  2.072502e-04 -4.174952e+00
  -1.084647e-06  2.223243e-08 -4.332036e-06 -1.134012e-07 -3.910904e-04
  -4.541899e-02  1.927301e-03 -1.632385e-02 -1.169560e-02 -4.424362e+00
  -3.687853e-02  3.280974e-03 -4.696792e-03  3.847347e-03 -5.183725e+00
  -5.584653e-02 -9.398148e-03  2.486765e-02  1.281480e-02 -1.785896e+01
  -3.106235e-02  2.225406e-02 -1.371892e-01  7.375441e-03 -1.649156e+01
  -7.244346e-02 -7.510849e-03 -1.882635e-02 -3.992553e-03 -6.785771e+00
  -4.374300e-06 -5.251187e-07 -2.309133e-06 -6.772493e-08 -7.935415e-05
   1.600372e-01 -4.837337e-03 -1.448653e-02 -2.238423e-03 -2.469567e+00
   1.607059e-02 -6.260987e-03 -6.206496e-02 -9.075761e-04 -1.098595e+01
   6.188697e-02 -1.763213e-02 -1.480473e-02 -8.885781e-03 -7.743945e+00
   1.034177e-02 -2.060843e-03 -7.304588e-03 -8.765318e-04 -3.300450e+00
  -3.138844e-03 -3.028309e-02 -1.131167e-02  1.325918e-03 -3.245838e+00
  -2.626505e-02  1.735775e-03  2.157098e-02  3.180413e-03 -8.775365e+00
   2.587449e-02  1.632975e-02  6.219566e-02 -3.422085e-04 -7.316897e+00
 [ reached 'max' / getOption("max.print") -- omitted 30 rows ]

Model rank =  4114 / 4114 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                k'     edf k-index p-value    
s(measurement.no)                            10.00    9.68    1.00    0.54    
s(f0_10Z)                                    10.00    4.68    1.00    0.41    
s(durationZ)                                 10.00    1.00    0.83  <2e-16 ***
ti(measurement.no,f0_10Z)                   100.00    6.46    1.02    0.90    
ti(measurement.no,durationZ)                100.00    9.35    1.01    0.59    
ti(f0_10Z,durationZ)                        100.00   20.22    0.99    0.23    
ti(measurement.no,durationZ,f0_10Z)        1000.00   83.27    0.99    0.36    
ti(measurement.no,f0_10Z):DiphVar.ordaj TJ  100.00    5.94    1.02    0.90    
ti(measurement.no,f0_10Z):DiphVar.ordaw SM  100.00   38.46    1.02    0.92    
ti(measurement.no,f0_10Z):DiphVar.ordaw TJ  100.00   14.09    1.02    0.91    
ti(measurement.no,f0_10Z):sex.ordM          100.00   33.18    1.02    0.93    
s(measurement.no):DiphVar.ordaj TJ           10.00    1.00    1.00    0.53    
s(measurement.no):DiphVar.ordaw SM           10.00    8.08    1.00    0.54    
s(measurement.no):DiphVar.ordaw TJ           10.00    7.44    1.00    0.55    
s(measurement.no):type.ord2                  10.00    7.75    1.00    0.46    
s(measurement.no):order.ordT                 10.00    1.88    1.00    0.56    
s(measurement.no):sex.ordM                   10.00    2.12    1.00    0.48    
s(measurement.no):leftSegment.ordn           10.00    7.45    1.00    0.47    
s(measurement.no):leftSegment.ordp           10.00    7.32    1.00    0.62    
s(measurement.no):leftSegment.ordt           10.00    5.38    1.00    0.57    
s(f0_10Z):DiphVar.ordaj TJ                   10.00    1.00    1.00    0.40    
s(f0_10Z):DiphVar.ordaw SM                   10.00    4.47    1.00    0.34    
s(f0_10Z):DiphVar.ordaw TJ                   10.00    1.01    1.00    0.40    
s(f0_10Z):sex.ordM                           10.00    3.80    1.00    0.34    
s(measurement.no,speaker)                   264.00  188.96    1.00    0.51    
s(measurement.no,speaker):DiphVar.ordaj TJ  264.00  122.45    1.00    0.58    
s(measurement.no,speaker):DiphVar.ordaw SM  264.00  144.97    1.00    0.56    
s(measurement.no,speaker):DiphVar.ordaw TJ  264.00  163.62    1.00    0.49    
s(measurement.no,character)                 330.00   93.73    1.00    0.65    
s(f0_10Z,speaker)                           264.00  104.55    1.00    0.41    
s(f0_10Z,character)                         330.00   55.23    1.00    0.35    
s(durationZ,speaker)                        264.00   99.34    0.83  <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

1.8 XA_F1_2Diph_NoAsp_Overall_baseline_notZ

XA_F1_2Diph_NoAsp_Overall_baseline_notZ <- readRDS("XA_F1_2Diph_NoAsp_Overall_baseline_notZ.rds")

summary(XA_F1_2Diph_NoAsp_Overall_baseline_notZ, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f1C ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord) + s(measurement.no, character, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    character, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = sex.ord) + s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1, by = order.ord) + s(measurement.no, character, 
    bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, by = type.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1, by = variety.ord)

Parametric coefficients:
                           Estimate Std. Error t value Pr(>|t|)    
(Intercept)               -0.188284   0.066263  -2.841 0.004494 ** 
ToneVarDiphInt.ord1 SM aw -0.067965   0.087868  -0.773 0.439236    
ToneVarDiphInt.ord1 XA aj  0.562163   0.073273   7.672 1.75e-14 ***
ToneVarDiphInt.ord1 XA aw  0.259391   0.094462   2.746 0.006037 ** 
ToneVarDiphInt.ord2 SM aj  0.400210   0.104129   3.843 0.000122 ***
ToneVarDiphInt.ord2 SM aw  0.018971   0.088699   0.214 0.830643    
ToneVarDiphInt.ord2 XA aj  0.381163   0.101510   3.755 0.000174 ***
ToneVarDiphInt.ord2 XA aw -0.045256   0.088332  -0.512 0.608417    
ToneVarDiphInt.ord3 SM aj  0.885281   0.098138   9.021  < 2e-16 ***
ToneVarDiphInt.ord3 SM aw  0.537836   0.094635   5.683 1.34e-08 ***
ToneVarDiphInt.ord3 XA aj -0.024168   0.103750  -0.233 0.815807    
ToneVarDiphInt.ord3 XA aw -0.058623   0.089315  -0.656 0.511595    
ToneVarDiphInt.ord4 SM aj  0.445597   0.068355   6.519 7.21e-11 ***
ToneVarDiphInt.ord4 SM aw  0.091411   0.084186   1.086 0.277568    
ToneVarDiphInt.ord4 XA aj -0.090100   0.072070  -1.250 0.211243    
ToneVarDiphInt.ord4 XA aw -0.353536   0.096339  -3.670 0.000243 ***
order.ordX                 0.003472   0.027227   0.128 0.898522    
sex.ordM                  -0.001591   0.029065  -0.055 0.956355    
leftSegment.ordn          -0.084383   0.063407  -1.331 0.183265    
leftSegment.ordp          -0.157074   0.057220  -2.745 0.006053 ** 
leftSegment.ordt          -0.219215   0.065848  -3.329 0.000872 ***
type.ord2                  0.177122   0.014783  11.981  < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                              edf Ref.df       F p-value    
s(measurement.no)                           9.725  9.762 177.997 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 SM aw 5.384  6.210   9.295 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 XA aj 2.902  3.494  18.316 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 XA aw 4.533  5.361  10.459 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aj 5.313  6.263   9.797 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aw 5.648  6.534   1.880 0.10569    
s(measurement.no):ToneVarDiphInt.ord2 XA aj 3.737  4.398   3.939 0.00256 ** 
s(measurement.no):ToneVarDiphInt.ord2 XA aw 1.000  1.001   1.760 0.18470    
s(measurement.no):ToneVarDiphInt.ord3 SM aj 4.912  5.569  13.911 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aw 1.001  1.002  51.852 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 XA aj 3.801  4.391   9.841 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 XA aw 6.824  7.786  15.798 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aj 1.001  1.001  11.039 0.00089 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aw 4.292  5.053  10.340 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 XA aj 4.162  4.914   9.286 < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 XA aw 5.749  6.518  12.315 < 2e-16 ***
s(measurement.no):order.ordX                1.001  1.001   0.132 0.71705    
s(measurement.no):sex.ordM                  7.049  7.247  18.481 < 2e-16 ***
s(measurement.no):leftSegment.ordn          7.246  8.018   8.423 < 2e-16 ***
s(measurement.no):leftSegment.ordp          8.898  9.369  12.460 < 2e-16 ***
s(measurement.no):leftSegment.ordt          8.258  8.869   8.699 < 2e-16 ***
s(measurement.no):type.ord2                 5.862  7.267  59.458 < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.774   Deviance explained =   79%
fREML =  11042  Scale est. = 0.15105   n = 28501

gam.check(XA_F1_2Diph_NoAsp_Overall_baseline_notZ)

Method: fREML   Optimizer: perf chol
$grad
 [1]  2.216627e-11 -1.514033e-11  1.365819e-11  9.119505e-11 -1.612221e-11  1.986722e-10  5.341594e-11 -1.153644e-04  7.947398e-11 -1.901884e-04
[11] -3.332534e-11 -2.225597e-11 -1.190372e-04 -9.470358e-11  7.982681e-11 -1.597744e-10 -1.591325e-04 -3.124656e-11  2.547949e-10  1.130740e-10
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[61]  8.313599e-10  1.546674e-11  5.715819e-10  1.254818e-11  6.897062e-08

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  -5.536223e-03 -2.395596e-05  2.666369e-03 -1.090344e-05  2.245519e-01 -3.186764e-04 -6.125742e-03 -2.169971e-04  2.535135e-02  5.301857e-05
  -3.939099e-04  1.356210e-04  5.925448e-03  7.581949e-05  1.881928e-01 -4.300215e-05 -1.583512e-03  2.172826e-04  4.119834e-02 -1.362933e-04
   9.125049e-07 -6.774940e-09  6.940474e-07  3.491954e-08  2.324651e-05 -1.625229e-07  1.454405e-06 -3.454754e-07 -6.993220e-06  7.745050e-08
  -5.065133e-03  4.793092e-06 -8.776598e-04 -3.712592e-05 -8.169406e-02 -6.387356e-04 -2.442814e-03 -7.882279e-05 -1.027821e-02 -1.593490e-04
  -2.209174e-06  4.599448e-08  9.214637e-07 -1.331668e-08 -1.767109e-05 -1.314265e-06 -6.499443e-07 -1.252153e-07  7.544107e-06 -1.358762e-07
   2.656050e-03 -1.392390e-06 -1.353198e-03  4.320220e-05 -3.904380e-02  8.715619e-04  1.054998e-03  1.090162e-04 -1.002210e-02  2.215314e-04
   8.692320e-04 -3.109684e-05 -1.386750e-02  4.238684e-06 -7.605383e-02  2.844642e-04  7.032011e-04  2.845201e-05 -4.115931e-02  2.305220e-05
   1.269359e-05 -3.702822e-07 -1.836161e-07 -1.482099e-08  6.343429e-05 -4.453360e-06  4.371646e-07  2.384424e-08 -2.509970e-05 -3.121689e-07
   1.228892e-03 -1.032572e-04 -4.115657e-02  2.380932e-04  1.962900e-01 -5.261885e-04  2.919058e-03  1.425057e-04  5.023149e-02  8.091163e-05
   2.966995e-02 -3.938086e-05 -1.349809e-04  1.270459e-06 -2.316535e-01  2.485726e-03 -2.452913e-03  1.950997e-05  1.781243e-02  1.460935e-04
          [,61]         [,62]         [,63]         [,64]         [,65]
  -3.243059e-03  8.918428e-05 -2.625674e-02 -8.516831e-05 -4.362612e+00
  -9.594338e-03  3.023564e-03 -8.266779e-03 -3.961307e-04 -2.191923e+00
  -2.202209e-02 -3.706609e-04  2.455447e-02  9.393435e-05 -9.511987e-01
  -1.340075e-03 -5.504957e-04  6.716393e-02  3.032618e-04 -1.766268e+00
   3.917083e-02  2.000162e-04  1.658942e-02  1.756322e-04 -2.156272e+00
  -1.989138e-02 -1.508797e-04  1.946882e-02 -2.257439e-04 -2.323927e+00
  -3.504336e-03  1.390861e-03  4.678757e-02  8.429669e-04 -1.368491e+00
   2.674068e-06 -2.910464e-09  2.200331e-05  4.285178e-09 -9.609509e-05
  -7.470638e-03 -4.491694e-04  3.678855e-02  2.712217e-04 -1.956224e+00
   1.192281e-05 -6.072724e-07  3.614956e-06 -1.855253e-07 -4.326481e-04
  -1.184767e-02  5.982064e-04  8.601645e-03 -4.941750e-04 -1.400656e+00
  -2.287841e-02  1.152230e-04  6.052085e-02  3.101115e-05 -2.912150e+00
   1.400086e-05  4.616397e-07  2.517811e-05  2.622830e-07 -2.747740e-04
  -5.017080e-02 -2.897091e-04 -3.383425e-02 -4.638925e-04 -1.646048e+00
  -3.326179e-02 -1.180503e-04  1.467305e-02 -5.694349e-04 -1.581024e+00
 [ reached 'max' / getOption("max.print") -- omitted 50 rows ]

Model rank =  6226 / 6226 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                        k'    edf k-index p-value
s(measurement.no)                                    10.00   9.73    1.01    0.80
s(measurement.no):ToneVarDiphInt.ord1 SM aw          10.00   5.38    1.01    0.83
s(measurement.no):ToneVarDiphInt.ord1 XA aj          10.00   2.90    1.01    0.91
s(measurement.no):ToneVarDiphInt.ord1 XA aw          10.00   4.53    1.01    0.83
s(measurement.no):ToneVarDiphInt.ord2 SM aj          10.00   5.31    1.01    0.85
s(measurement.no):ToneVarDiphInt.ord2 SM aw          10.00   5.65    1.01    0.82
s(measurement.no):ToneVarDiphInt.ord2 XA aj          10.00   3.74    1.01    0.88
s(measurement.no):ToneVarDiphInt.ord2 XA aw          10.00   1.00    1.01    0.88
s(measurement.no):ToneVarDiphInt.ord3 SM aj          10.00   4.91    1.01    0.87
s(measurement.no):ToneVarDiphInt.ord3 SM aw          10.00   1.00    1.01    0.83
s(measurement.no):ToneVarDiphInt.ord3 XA aj          10.00   3.80    1.01    0.88
s(measurement.no):ToneVarDiphInt.ord3 XA aw          10.00   6.82    1.01    0.89
s(measurement.no):ToneVarDiphInt.ord4 SM aj          10.00   1.00    1.01    0.85
s(measurement.no):ToneVarDiphInt.ord4 SM aw          10.00   4.29    1.01    0.82
s(measurement.no):ToneVarDiphInt.ord4 XA aj          10.00   4.16    1.01    0.84
s(measurement.no):ToneVarDiphInt.ord4 XA aw          10.00   5.75    1.01    0.85
s(measurement.no):order.ordX                         10.00   1.00    1.01    0.86
s(measurement.no):sex.ordM                           10.00   7.05    1.01    0.89
s(measurement.no):leftSegment.ordn                   10.00   7.25    1.01    0.86
s(measurement.no):leftSegment.ordp                   10.00   8.90    1.01    0.88
s(measurement.no):leftSegment.ordt                   10.00   8.26    1.01    0.87
s(measurement.no):type.ord2                          10.00   5.86    1.01    0.89
s(measurement.no,speaker)                           264.00 195.47    1.01    0.89
s(measurement.no,speaker):ToneVarDiphInt.ord1 SM aw 264.00 111.95    1.01    0.84
s(measurement.no,speaker):ToneVarDiphInt.ord1 XA aj 264.00  73.36    1.01    0.84
s(measurement.no,speaker):ToneVarDiphInt.ord1 XA aw 264.00  67.50    1.01    0.85
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aj 264.00  79.17    1.01    0.86
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aw 264.00 108.94    1.01    0.87
s(measurement.no,speaker):ToneVarDiphInt.ord2 XA aj 264.00  83.39    1.01    0.87
s(measurement.no,speaker):ToneVarDiphInt.ord2 XA aw 264.00 113.12    1.01    0.89
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aj 264.00 142.32    1.01    0.87
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aw 264.00 107.96    1.01    0.84
s(measurement.no,speaker):ToneVarDiphInt.ord3 XA aj 264.00  95.71    1.01    0.89
s(measurement.no,speaker):ToneVarDiphInt.ord3 XA aw 264.00  68.46    1.01    0.85
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aj 264.00 113.13    1.01    0.88
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aw 264.00  80.13    1.01    0.87
s(measurement.no,speaker):ToneVarDiphInt.ord4 XA aj 264.00  85.09    1.01    0.84
s(measurement.no,speaker):ToneVarDiphInt.ord4 XA aw 264.00 115.38    1.01    0.85
s(measurement.no,character)                         352.00 101.99    1.01    0.84
s(measurement.no,character):sex.ordM                352.00  18.35    1.01    0.88
s(measurement.no,character):order.ordX              352.00  39.82    1.01    0.89
s(measurement.no,character):type.ord2               352.00  56.72    1.01    0.80
s(measurement.no,character):variety.ordXA           352.00  51.99    1.01    0.82

1.9 TJ_F1_2Diph_NoAsp_Overall_baseline_notZ

TJ_F1_2Diph_NoAsp_Overall_baseline_notZ <- readRDS("TJ_F1_2Diph_NoAsp_Overall_baseline_notZ.rds")

summary(TJ_F1_2Diph_NoAsp_Overall_baseline_notZ, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f1C ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord) + s(measurement.no, character, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    character, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = sex.ord) + s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1, by = order.ord) + s(measurement.no, character, 
    bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, by = type.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1, by = variety.ord)

Parametric coefficients:
                           Estimate Std. Error t value Pr(>|t|)    
(Intercept)                0.001068   0.036564   0.029 0.976699    
ToneVarDiphInt.ord1 SM aw -0.330109   0.058434  -5.649 1.63e-08 ***
ToneVarDiphInt.ord1 TJ aj  0.346985   0.058209   5.961 2.54e-09 ***
ToneVarDiphInt.ord1 TJ aw -0.124125   0.056410  -2.200 0.027786 *  
ToneVarDiphInt.ord2 SM aj  0.154427   0.058420   2.643 0.008213 ** 
ToneVarDiphInt.ord2 SM aw -0.315090   0.055315  -5.696 1.24e-08 ***
ToneVarDiphInt.ord2 TJ aj  0.115507   0.072775   1.587 0.112481    
ToneVarDiphInt.ord2 TJ aw -0.326633   0.060748  -5.377 7.64e-08 ***
ToneVarDiphInt.ord3 SM aj  0.304840   0.064764   4.707 2.53e-06 ***
ToneVarDiphInt.ord3 SM aw -0.093201   0.063162  -1.476 0.140065    
ToneVarDiphInt.ord3 TJ aj  0.263773   0.053331   4.946 7.62e-07 ***
ToneVarDiphInt.ord3 TJ aw -0.205422   0.057938  -3.546 0.000392 ***
ToneVarDiphInt.ord4 SM aj  0.184690   0.061603   2.998 0.002719 ** 
ToneVarDiphInt.ord4 SM aw -0.145928   0.048654  -2.999 0.002709 ** 
ToneVarDiphInt.ord4 TJ aj  0.111432   0.057107   1.951 0.051033 .  
ToneVarDiphInt.ord4 TJ aw -0.199431   0.056581  -3.525 0.000425 ***
order.ordT                -0.003621   0.017145  -0.211 0.832713    
sex.ordM                  -0.002637   0.022158  -0.119 0.905274    
leftSegment.ordn          -0.005137   0.029219  -0.176 0.860450    
leftSegment.ordp          -0.207460   0.026229  -7.909 2.68e-15 ***
leftSegment.ordt          -0.144193   0.029453  -4.896 9.85e-07 ***
type.ord2                  0.099465   0.011785   8.440  < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                              edf Ref.df       F  p-value    
s(measurement.no)                           9.639  9.681 146.532  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 SM aw 5.742  6.524  12.005  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 TJ aj 3.058  3.766  12.423  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 TJ aw 6.084  7.057  15.785  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aj 3.923  4.731   3.370  0.00544 ** 
s(measurement.no):ToneVarDiphInt.ord2 SM aw 5.552  6.479  10.091  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 TJ aj 3.520  4.246   1.515  0.16121    
s(measurement.no):ToneVarDiphInt.ord2 TJ aw 4.713  5.438  12.116  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aj 4.385  4.840   6.426 1.32e-05 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aw 3.437  3.995   8.680 2.52e-07 ***
s(measurement.no):ToneVarDiphInt.ord3 TJ aj 5.336  5.935   7.272  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 TJ aw 4.638  5.390   5.339 5.01e-05 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aj 2.824  3.300   2.932  0.03266 *  
s(measurement.no):ToneVarDiphInt.ord4 SM aw 5.847  6.864  12.458  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 TJ aj 3.165  3.793   2.910  0.01640 *  
s(measurement.no):ToneVarDiphInt.ord4 TJ aw 5.436  6.419  11.895  < 2e-16 ***
s(measurement.no):order.ordT                1.002  1.002   0.395  0.53076    
s(measurement.no):sex.ordM                  5.159  5.316   8.907  < 2e-16 ***
s(measurement.no):leftSegment.ordn          7.401  8.289   6.590  < 2e-16 ***
s(measurement.no):leftSegment.ordp          8.210  8.954   8.780  < 2e-16 ***
s(measurement.no):leftSegment.ordt          6.616  7.556   9.341  < 2e-16 ***
s(measurement.no):type.ord2                 6.148  7.608  63.641  < 2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.817   Deviance explained =   83%
fREML =  16014  Scale est. = 0.18899   n = 29513

gam.check(TJ_F1_2Diph_NoAsp_Overall_baseline_notZ)

Method: fREML   Optimizer: perf chol
$grad
 [1]  2.016165e-13  1.421085e-14 -4.751755e-14  1.190159e-13 -8.903989e-14 -3.108624e-15 -1.061373e-13  2.453593e-13  1.252332e-13  5.084821e-14
[11]  2.238210e-13 -3.317346e-13  2.530198e-13  2.264855e-14 -9.703349e-14  2.042810e-14 -6.616443e-05  2.962075e-13 -2.140510e-13  1.563194e-13
[21]  9.547918e-14 -1.536549e-13 -4.590106e-12 -3.777098e-10 -1.563194e-11 -2.306670e-10  1.666223e-12  2.086189e-10 -1.136868e-13  2.533209e-10
[31]  1.037392e-12 -1.610809e-10 -1.740830e-12 -4.810552e-11 -9.947598e-14 -1.287397e-10 -3.652190e-12 -1.265459e-10 -7.247536e-13  4.960654e-10
[41]  7.666756e-12  5.470788e-10 -6.579626e-12  3.571463e-10 -2.700062e-13  3.286953e-10  1.504930e-11  1.947544e-10  2.344791e-13  1.960991e-10
[51] -1.630696e-12 -5.107204e-11  1.044498e-12  2.311005e-10  2.700062e-13  7.079670e-12  1.090683e-12  7.386092e-12 -1.421085e-13  6.217249e-15
[61]  4.263256e-13 -1.417533e-12  7.038814e-14 -2.172484e-12  2.939487e-09

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]         [,10]
   4.279770e+00 -2.727441e-02  1.882607e-03 -2.768402e-02  1.855709e-02  3.440404e-02  1.976589e-02 -4.561141e-03  2.141523e-02  1.860997e-03
  -2.727441e-02  2.114892e+00  2.934580e-02 -7.682955e-02  5.017663e-02  6.158259e-04  5.043184e-02 -5.381879e-02  4.746749e-02 -4.287763e-02
   1.882607e-03  2.934580e-02  8.242990e-01  2.800328e-02 -3.743767e-02  2.686067e-02 -2.707279e-02  3.851371e-02 -3.648375e-02  5.051897e-02
  -2.768402e-02 -7.682955e-02  2.800328e-02  2.267982e+00  3.996902e-02  7.594490e-03  3.873250e-02 -2.600398e-02  5.588697e-02 -4.533934e-02
   1.855709e-02  5.017663e-02 -3.743767e-02  3.996902e-02  1.029779e+00  2.101510e-02 -1.624911e-01  5.264473e-02 -4.213368e-02  5.241915e-02
   3.440404e-02  6.158259e-04  2.686067e-02  7.594490e-03  2.101510e-02  9.480188e-01  8.657559e-03 -9.179225e-02  1.662174e-03 -5.477989e-02
   1.976589e-02  5.043184e-02 -2.707279e-02  3.873250e-02 -1.624911e-01  8.657559e-03  5.094892e-01  4.456049e-02 -3.742925e-02  3.546162e-02
  -4.561141e-03 -5.381879e-02  3.851371e-02 -2.600398e-02  5.264473e-02 -9.179225e-02  4.456049e-02  1.466848e+00  3.398274e-02 -6.462423e-02
   2.141523e-02  4.746749e-02 -3.648375e-02  5.588697e-02 -4.213368e-02  1.662174e-03 -3.742925e-02  3.398274e-02  1.531697e+00  4.430037e-02
   1.860997e-03 -4.287763e-02  5.051897e-02 -4.533934e-02  5.241915e-02 -5.477989e-02  3.546162e-02 -6.462423e-02  4.430037e-02  6.909421e-01
   2.001538e-02  5.399280e-02 -3.001728e-02  4.525946e-02 -5.355067e-02  1.211235e-02 -4.814063e-02  4.395219e-02 -6.659034e-02  4.718068e-02
   2.198980e-02  2.205178e-03  2.054317e-02  3.429270e-02  1.028159e-02 -4.530291e-02  4.981826e-04 -3.565787e-02 -8.863153e-03 -6.574860e-02
  -1.228605e-02 -1.889194e-02 -2.313111e-02 -3.215032e-02  8.512045e-04  2.289586e-02  2.212682e-02  1.261871e-02 -3.628795e-03  1.237534e-02
  -3.825758e-02 -8.222263e-02  2.772844e-02 -6.476807e-02  6.074839e-02  9.300664e-03  6.416854e-02 -4.863314e-02  5.334424e-02 -4.221203e-02
   4.479407e-03  3.581082e-02 -5.350972e-02  6.161237e-02 -4.745439e-02  3.611658e-02 -2.498377e-02  4.217513e-02 -5.424709e-02  7.839801e-02
          [,11]         [,12]         [,13]         [,14]         [,15]         [,16]         [,17]         [,18]         [,19]         [,20]
   2.001538e-02  2.198980e-02 -1.228605e-02 -3.825758e-02  4.479407e-03 -3.764893e-02 -4.392488e-05 -2.010653e-01  9.664282e-02 -1.490593e-01
   5.399280e-02  2.205178e-03 -1.889194e-02 -8.222263e-02  3.581082e-02 -6.441501e-02  9.550134e-07  1.340511e-03 -6.298470e-03 -8.518947e-04
  -3.001728e-02  2.054317e-02 -2.313111e-02  2.772844e-02 -5.350972e-02  3.423766e-02  1.350932e-06  2.958224e-04  8.050170e-03  3.926573e-03
   4.525946e-02  3.429270e-02 -3.215032e-02 -6.476807e-02  6.161237e-02 -7.970536e-02  6.939472e-07  1.684186e-03 -3.393518e-02  1.245169e-03
  -5.355067e-02  1.028159e-02  8.512045e-04  6.074839e-02 -4.745439e-02  5.725534e-02 -8.044731e-07  3.838347e-05 -3.694350e-03 -1.143628e-03
   1.211235e-02 -4.530291e-02  2.289586e-02  9.300664e-03  3.611658e-02  2.947601e-03  1.510709e-06  4.641476e-04  2.348219e-02 -6.665560e-03
  -4.814063e-02  4.981826e-04  2.212682e-02  6.416854e-02 -2.498377e-02  6.029706e-02 -5.105214e-07  4.642302e-04 -6.295797e-03 -3.794795e-04
   4.395219e-02 -3.565787e-02  1.261871e-02 -4.863314e-02  4.217513e-02 -4.762211e-02  2.346342e-06 -3.453667e-04  1.040421e-02  6.646394e-04
  -6.659034e-02 -8.863153e-03 -3.628795e-03  5.334424e-02 -5.424709e-02  5.941778e-02 -2.535701e-06 -7.431404e-04  1.166060e-02  2.442491e-03
   4.718068e-02 -6.574860e-02  1.237534e-02 -4.221203e-02  7.839801e-02 -5.294135e-02  2.310793e-06 -7.225891e-04  7.299983e-03  2.159328e-03
   1.748946e+00 -5.015281e-03  1.590890e-02  7.485915e-02 -4.531411e-02  6.189844e-02 -1.640548e-06 -8.115901e-04  8.090616e-03  1.190996e-03
  -5.015281e-03  9.343499e-01  5.767115e-02  1.695399e-02 -1.099905e-02  1.359927e-02  1.650422e-06 -3.740412e-04  1.972659e-02  4.237683e-03
   1.590890e-02  5.767115e-02  4.989763e-01 -3.625011e-02 -3.759528e-03 -2.559347e-02 -2.221104e-06 -3.096469e-04 -5.156737e-03 -1.532784e-03
   7.485915e-02  1.695399e-02 -3.625011e-02  2.185961e+00  3.291611e-02 -1.758531e-01  6.288998e-07  3.227821e-04 -1.481657e-02 -4.038671e-03
  -4.531411e-02 -1.099905e-02 -3.759528e-03  3.291611e-02  4.965919e-01  4.394159e-02 -1.321644e-06  2.021516e-04  9.794451e-04 -6.620284e-04
          [,21]         [,22]         [,23]         [,24]         [,25]         [,26]         [,27]         [,28]         [,29]         [,30]
  -1.359257e-01 -1.174224e-03  1.994553e-01 -1.004756e-06 -6.155175e-03 -7.004217e-07 -1.048795e-02  2.336155e-06 -4.899692e-03  1.137505e-05
   1.124332e-02  2.474900e-04  1.581451e-02  3.131360e-06  3.507217e-02 -1.700175e-04 -6.499418e-03 -2.961449e-06  2.288842e-02  3.306576e-04
   7.835548e-03 -3.675337e-04  6.073408e-04  2.237550e-05 -4.096421e-03  3.645808e-05  4.036264e-02 -9.945827e-05 -3.055009e-03 -1.923677e-04
   1.379704e-02 -2.637162e-03  1.993101e-02 -3.429427e-06 -1.445189e-02 -5.329821e-05 -7.831015e-03 -2.401584e-06  3.659470e-02  3.066215e-05
   1.993342e-02 -1.596343e-03 -1.034837e-02  1.638576e-05  1.833319e-03  5.015348e-05  4.610615e-03 -6.525777e-05 -1.005171e-03  2.907622e-06
   6.551047e-02  2.278292e-03  2.291930e-02 -4.314865e-06  4.903946e-03  1.104310e-04  7.230932e-03  8.093428e-05  5.527841e-03 -1.105680e-04
   1.689580e-02 -2.214930e-04 -7.841802e-03  4.814203e-06  3.366304e-03  4.676020e-05  3.725025e-03 -4.092508e-05 -5.038408e-04  3.326732e-05
   2.966999e-03 -4.002385e-04  9.723794e-03 -4.675234e-05 -1.091362e-02 -5.946533e-06 -7.137242e-04  9.486556e-05  6.562881e-03  1.112387e-05
  -5.629067e-03  3.941575e-04 -7.509674e-03  6.418208e-06  3.777838e-03  3.500459e-05  5.628017e-03  3.069833e-05  4.988209e-04 -8.150281e-05
  -5.883178e-03 -1.652676e-04  8.717087e-03  6.343517e-08 -2.862675e-03 -3.351530e-05 -3.993766e-04 -2.855931e-05  3.018962e-03  6.874517e-05
  -4.966572e-03 -2.782991e-03 -5.856318e-03  5.549700e-06  5.850467e-03  3.763712e-05  5.421426e-03 -1.029446e-05 -1.474304e-03 -5.576190e-05
  -1.149195e-02  2.074578e-03  5.705958e-03  4.139248e-06 -2.072675e-03 -4.172699e-05  5.497103e-03 -3.923421e-06  5.395929e-03  4.903916e-05
   1.718456e-03  8.799731e-05 -1.582316e-02  1.799818e-05 -1.808469e-03  6.047892e-05  1.343062e-03  2.351268e-04 -3.742535e-03 -3.140677e-05
   1.069903e-02  1.003217e-03  5.419840e-03 -4.812257e-06 -1.014824e-02 -3.002144e-05 -1.074139e-02  4.101012e-05 -2.848291e-03  1.261654e-05
   1.014027e-03 -1.202508e-03 -1.069446e-02  7.840414e-06 -1.268610e-03  3.655501e-05 -8.789291e-04  1.304153e-04  2.401485e-04 -2.029770e-05
          [,31]         [,32]         [,33]         [,34]         [,35]         [,36]         [,37]         [,38]         [,39]         [,40]
   2.511454e-03  1.614699e-06  2.087149e-02 -2.738797e-05  3.165511e-03 -2.947829e-06  1.398373e-02  1.012247e-06  2.105333e-02  3.821016e-06
   4.519237e-03 -3.913790e-06  2.988621e-03 -3.204409e-05  5.357738e-03  4.393996e-05 -1.403440e-02 -5.057559e-05  4.946532e-03  1.264516e-05
   8.616729e-04  2.153181e-04  6.979083e-04  1.169167e-04  5.512796e-04 -4.738835e-06 -1.385995e-03  2.064938e-05  2.996763e-03  1.648136e-05
  -1.414750e-04 -7.073948e-06  7.589646e-03 -8.111470e-05 -1.339689e-03  1.718259e-05  1.568397e-02 -7.255917e-06  1.739681e-02  3.522052e-05
   5.989251e-02 -7.191891e-04  1.297220e-03  4.980065e-05 -3.522172e-02  6.417625e-04  5.227017e-03  6.658665e-05 -3.932760e-05 -3.861480e-05
   1.069584e-03 -6.906082e-05  3.246795e-01 -1.498184e-03  2.425791e-04  2.332151e-05 -5.749673e-02  4.375871e-06 -2.594800e-02  5.918119e-05
  -1.876693e-02 -3.381785e-04  1.039187e-03  3.154807e-05  8.561632e-02  2.375913e-04  6.876712e-03  4.841738e-05 -4.040808e-03 -2.590492e-05
   4.475729e-03 -1.434306e-04 -3.195526e-02  1.887182e-04  5.994794e-03  8.625057e-05  1.159423e-01  4.713429e-04 -5.369191e-03  6.729823e-05
   1.879682e-04  5.013223e-06 -4.334210e-03  8.440834e-05 -7.066675e-04  7.697701e-06 -3.843504e-03  2.720286e-05  7.994431e-02 -1.161498e-04
   2.665205e-03 -3.476285e-05 -9.101690e-03 -6.469974e-05  8.882975e-04  5.144541e-05 -9.762075e-03 -2.905421e-05 -7.349416e-03  3.089485e-05
  -6.610795e-03  2.959564e-05  2.408521e-03  4.740353e-05 -5.307401e-03 -1.712153e-05  3.600066e-03  4.143001e-05  9.781644e-03 -3.446562e-05
  -1.508013e-04 -4.219564e-05 -1.057744e-02 -7.612558e-05  1.843872e-03  1.908709e-05 -1.291720e-02 -7.242823e-05 -2.550835e-02  3.376848e-05
   4.478874e-03  6.816512e-05  6.795794e-04  1.815244e-04  5.328980e-03 -4.842153e-05 -5.936138e-03  7.059272e-05  1.377795e-02 -5.456958e-05
   6.797430e-03 -2.433090e-05  5.565233e-03 -7.359297e-05  6.788967e-03  2.656464e-05 -4.111193e-03 -3.538553e-05  1.132101e-02  2.163312e-05
  -1.144327e-03  3.383326e-05  3.706814e-03  1.102314e-04  3.748862e-03 -2.692588e-05  2.697940e-03  3.363484e-05 -5.383262e-03 -3.290114e-05
          [,41]         [,42]         [,43]         [,44]         [,45]         [,46]         [,47]         [,48]         [,49]         [,50]
   3.402855e-02 -2.079211e-06  2.414269e-03 -2.544471e-06  2.791358e-02 -9.924113e-06 -2.283095e-02  3.466620e-07 -5.494866e-03 -8.068308e-06
   7.225656e-05 -5.891942e-05  3.534138e-03  9.888618e-05 -3.026487e-03 -3.148036e-05 -1.323624e-02  5.752350e-05 -4.289320e-03 -6.559397e-05
   1.438038e-02 -9.288845e-06 -1.430391e-04  4.496185e-05  3.560841e-03 -9.108082e-05 -2.975703e-03 -1.484816e-05 -2.595292e-03 -2.509651e-04
   8.647868e-03 -1.233040e-05  2.191017e-03  6.270585e-05  2.055589e-02 -1.773509e-05 -2.414874e-02  3.592747e-05 -2.224656e-03 -3.583502e-05
   7.965549e-03 -5.846856e-07 -5.783645e-03 -4.455488e-05  7.464586e-04  5.090963e-05  9.125787e-03 -1.688686e-04  1.252117e-04 -6.895799e-05
  -4.734717e-02  9.921118e-05 -1.685481e-04  8.437512e-05 -2.516024e-02  6.657494e-05  1.477081e-02  1.009997e-04  3.653480e-03  2.585240e-06
   2.975640e-03  2.421936e-05 -3.585316e-03 -2.287981e-05 -7.189343e-05  5.849748e-05  1.608943e-02 -1.311696e-04  6.155149e-04 -2.842572e-05
  -2.219754e-02  5.760897e-05  2.946319e-03  1.694422e-04 -1.008597e-02  1.163932e-04 -2.656511e-03  1.687313e-04 -1.490232e-03  1.245993e-05
  -6.220456e-03  6.147923e-06  9.767979e-03 -1.804896e-04 -1.033360e-02  2.934840e-05  7.498610e-03 -4.104222e-05  1.380891e-03  5.245934e-05
   1.635609e-01 -1.073244e-04 -1.490545e-04  1.621327e-04 -3.144766e-02 -1.507173e-04  4.799458e-03  1.203940e-04  7.233720e-04 -8.555723e-05
   6.117460e-03  5.213423e-06  1.846082e-01 -3.011730e-05 -6.175314e-03  4.473559e-06  1.947903e-02 -6.448020e-05  5.183929e-03  3.865359e-05
  -6.686694e-02 -2.379950e-05 -8.244994e-03  1.292966e-04  2.174537e-01 -6.157705e-04  1.621577e-02  1.182583e-04  2.162837e-03 -3.882247e-05
   5.003735e-03 -1.842861e-05  1.221633e-02 -9.851621e-05  7.797497e-03  1.581253e-05  1.399505e-01  1.749211e-04 -2.137953e-03  1.332880e-05
   7.777955e-03 -8.231279e-06  1.624219e-02  5.867742e-05  1.091959e-02 -1.092310e-05 -3.119289e-02  1.000137e-04  1.729840e-02 -2.689719e-04
   1.724631e-02 -2.646406e-06  3.851375e-03 -6.918540e-05  5.632508e-04  1.027796e-05  3.235664e-02  6.131023e-05 -2.726612e-03  1.943014e-05
          [,51]         [,52]         [,53]         [,54]         [,55]         [,56]         [,57]         [,58]         [,59]         [,60]
   9.173482e-05  1.240855e-05 -7.155079e-03  5.157854e-06  3.649602e-02  2.293483e-05 -5.628065e-03 -1.786393e-04  2.040368e-02  2.604049e-05
  -4.041842e-03  2.111794e-04 -8.616919e-04  5.795262e-05  7.893286e-02  5.256567e-05 -1.405510e-02 -1.096369e-03  4.059346e-02  2.508153e-04
  -3.615856e-03  8.632899e-05 -2.395462e-03 -1.448264e-04  5.289133e-02 -1.657848e-04  1.701859e-02 -1.710384e-03  1.445253e-02  1.594118e-04
   3.473067e-03  5.396542e-05 -6.627880e-03 -1.354836e-05  1.142084e-01  1.188246e-04  4.283254e-02 -6.983411e-04  1.413927e-02  1.165782e-04
   6.989549e-05 -3.387136e-04  2.507372e-03  6.282791e-05  1.469784e-01 -3.521903e-04 -1.448866e-02  5.833572e-04  6.438723e-02 -1.831502e-04
   5.923812e-03  9.274204e-05  6.684379e-03 -2.727949e-04  1.196879e-01  1.029518e-04  4.281704e-02 -1.269104e-03  5.048021e-02  3.683884e-05
   4.001225e-03 -2.309995e-04  2.951103e-03  6.637914e-05  1.768474e-01 -1.989681e-04  6.902394e-04  3.018847e-04  6.926685e-02 -9.575587e-05
   1.983988e-04  2.057276e-04  7.577044e-04 -6.122850e-05  9.892725e-02  6.999760e-06  8.764756e-02 -1.983522e-03  7.716546e-02  7.832687e-05
  -5.947835e-03 -1.303216e-04  2.129995e-03 -6.793627e-06  2.633499e-03 -2.579662e-04 -1.546633e-03  1.604127e-03 -3.015940e-02 -2.476050e-04
   9.320756e-03  2.775999e-04  1.201981e-03  4.885965e-06  1.617943e-01  3.571039e-04  4.621573e-02 -2.457997e-03  5.560236e-02  3.982754e-04
  -2.113484e-03 -1.662789e-04  4.679496e-04 -1.088736e-05  2.019594e-02 -2.352746e-04 -8.523820e-03  1.406071e-03 -1.961174e-02 -2.204052e-04
  -5.492841e-03  2.458143e-04  5.531918e-03 -3.351093e-05  1.978463e-01  3.057855e-04  4.641246e-03 -1.959976e-03  1.017490e-01  3.158156e-04
  -2.547707e-02  1.038037e-04 -3.886580e-03  1.086776e-04  6.137415e-02 -8.812122e-04  2.190298e-02  3.587348e-03  7.456772e-02 -4.787759e-04
  -6.679181e-03  1.842060e-04 -6.067308e-03  1.048728e-04  1.474616e-01  1.950625e-04  2.472186e-02 -1.117553e-03  1.006802e-01  1.808942e-04
   8.211021e-02  1.730594e-04  9.054632e-04  5.659152e-05 -3.683901e-03 -3.702613e-04 -4.444641e-04  2.147568e-03 -3.926090e-02 -2.978837e-04
          [,61]         [,62]         [,63]         [,64]         [,65]
   7.593186e-03  1.860479e-05 -1.560370e-04  4.463767e-05 -4.319701e+00
   1.589778e-02  2.316707e-04 -2.644467e-04  1.820073e-04 -2.370994e+00
   9.048223e-04 -1.046018e-04  4.411043e-03  4.424270e-04 -1.028771e+00
   2.620520e-03  5.209248e-05  3.732224e-03  1.911003e-04 -2.541761e+00
   7.774835e-03 -7.927954e-04 -1.995014e-03 -2.855292e-04 -1.461583e+00
  -1.262051e-02 -2.053876e-04  6.865724e-04  2.992379e-04 -2.275877e+00
   1.369045e-02 -4.395267e-04  7.342667e-03 -1.640623e-04 -1.260150e+00
   5.758423e-03 -6.300926e-05  6.482593e-04  4.036936e-04 -1.856616e+00
  -5.328101e-03 -3.099567e-07  9.589455e-05 -3.956737e-04 -1.692421e+00
  -1.929727e-02 -3.322075e-05 -1.596506e-04  5.353721e-04 -1.218584e+00
  -2.430293e-03  9.726805e-05  2.805497e-03 -3.036867e-04 -2.167784e+00
  -2.369862e-02 -3.338707e-05  5.280811e-03  4.282740e-04 -1.819075e+00
  -8.892045e-04  1.373716e-04  8.292090e-04 -1.320501e-03 -9.120487e-01
   9.946247e-03  4.063308e-05 -5.292095e-04  2.593165e-04 -2.423313e+00
  -2.950104e-03  8.628118e-05  1.827227e-03 -7.397543e-04 -1.082514e+00
 [ reached 'max' / getOption("max.print") -- omitted 50 rows ]

Model rank =  6116 / 6116 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                        k'    edf k-index p-value
s(measurement.no)                                    10.00   9.64    1.02    0.84
s(measurement.no):ToneVarDiphInt.ord1 SM aw          10.00   5.74    1.02    0.90
s(measurement.no):ToneVarDiphInt.ord1 TJ aj          10.00   3.06    1.02    0.89
s(measurement.no):ToneVarDiphInt.ord1 TJ aw          10.00   6.08    1.02    0.89
s(measurement.no):ToneVarDiphInt.ord2 SM aj          10.00   3.92    1.02    0.85
s(measurement.no):ToneVarDiphInt.ord2 SM aw          10.00   5.55    1.02    0.86
s(measurement.no):ToneVarDiphInt.ord2 TJ aj          10.00   3.52    1.02    0.84
s(measurement.no):ToneVarDiphInt.ord2 TJ aw          10.00   4.71    1.02    0.88
s(measurement.no):ToneVarDiphInt.ord3 SM aj          10.00   4.38    1.02    0.90
s(measurement.no):ToneVarDiphInt.ord3 SM aw          10.00   3.44    1.02    0.86
s(measurement.no):ToneVarDiphInt.ord3 TJ aj          10.00   5.34    1.02    0.88
s(measurement.no):ToneVarDiphInt.ord3 TJ aw          10.00   4.64    1.02    0.87
s(measurement.no):ToneVarDiphInt.ord4 SM aj          10.00   2.82    1.02    0.87
s(measurement.no):ToneVarDiphInt.ord4 SM aw          10.00   5.85    1.02    0.88
s(measurement.no):ToneVarDiphInt.ord4 TJ aj          10.00   3.17    1.02    0.90
s(measurement.no):ToneVarDiphInt.ord4 TJ aw          10.00   5.44    1.02    0.89
s(measurement.no):order.ordT                         10.00   1.00    1.02    0.83
s(measurement.no):sex.ordM                           10.00   5.16    1.02    0.88
s(measurement.no):leftSegment.ordn                   10.00   7.40    1.02    0.90
s(measurement.no):leftSegment.ordp                   10.00   8.21    1.02    0.89
s(measurement.no):leftSegment.ordt                   10.00   6.62    1.02    0.90
s(measurement.no):type.ord2                          10.00   6.15    1.02    0.86
s(measurement.no,speaker)                           264.00 194.76    1.02    0.90
s(measurement.no,speaker):ToneVarDiphInt.ord1 SM aw 264.00 130.33    1.02    0.87
s(measurement.no,speaker):ToneVarDiphInt.ord1 TJ aj 264.00  63.53    1.02    0.88
s(measurement.no,speaker):ToneVarDiphInt.ord1 TJ aw 264.00  87.39    1.02    0.89
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aj 264.00  67.14    1.02    0.84
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aw 264.00  95.65    1.02    0.89
s(measurement.no,speaker):ToneVarDiphInt.ord2 TJ aj 264.00  62.20    1.02    0.86
s(measurement.no,speaker):ToneVarDiphInt.ord2 TJ aw 264.00 124.32    1.02    0.84
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aj 264.00 174.27    1.02    0.82
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aw 264.00 116.42    1.02    0.88
s(measurement.no,speaker):ToneVarDiphInt.ord3 TJ aj 264.00 152.93    1.02    0.89
s(measurement.no,speaker):ToneVarDiphInt.ord3 TJ aw 264.00 112.51    1.02    0.88
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aj 264.00 115.03    1.02    0.90
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aw 264.00  73.55    1.02    0.89
s(measurement.no,speaker):ToneVarDiphInt.ord4 TJ aj 264.00  79.35    1.02    0.89
s(measurement.no,speaker):ToneVarDiphInt.ord4 TJ aw 264.00  71.88    1.02    0.86
s(measurement.no,character)                         330.00  70.78    1.02    0.91
s(measurement.no,character):sex.ordM                330.00  56.57    1.02    0.87
s(measurement.no,character):order.ordT              330.00  51.03    1.02    0.85
s(measurement.no,character):type.ord2               330.00  33.68    1.02    0.88
s(measurement.no,character):variety.ordTJ           330.00  17.79    1.02    0.89

1.10 XA_f0_2Diph_NoAsp_Overall_baseline_notZ

XA_f0_2Diph_NoAsp_Overall_baseline_notZ_AR1 <- readRDS("XA_f0_2Diph_NoAsp_Overall_baseline_notZ_AR1.rds")

summary(XA_f0_2Diph_NoAsp_Overall_baseline_notZ_AR1, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f0_10C ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord) + s(measurement.no, character, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    character, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = sex.ord) + s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1, by = order.ord) + s(measurement.no, character, 
    bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, by = type.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1, by = variety.ord)

Parametric coefficients:
                          Estimate Std. Error t value Pr(>|t|)    
(Intercept)                3.34551    0.25234  13.258  < 2e-16 ***
ToneVarDiphInt.ord1 SM aw  0.22734    0.28361   0.802 0.422800    
ToneVarDiphInt.ord1 XA aj -7.64207    0.34937 -21.874  < 2e-16 ***
ToneVarDiphInt.ord1 XA aw -7.19728    0.38536 -18.677  < 2e-16 ***
ToneVarDiphInt.ord2 SM aj -5.29226    0.35046 -15.101  < 2e-16 ***
ToneVarDiphInt.ord2 SM aw -5.01767    0.31607 -15.875  < 2e-16 ***
ToneVarDiphInt.ord2 XA aj -5.07496    0.38698 -13.114  < 2e-16 ***
ToneVarDiphInt.ord2 XA aw -4.98622    0.31663 -15.748  < 2e-16 ***
ToneVarDiphInt.ord3 SM aj -8.34009    0.49417 -16.877  < 2e-16 ***
ToneVarDiphInt.ord3 SM aw -8.46543    0.40240 -21.037  < 2e-16 ***
ToneVarDiphInt.ord3 XA aj -3.95582    0.36540 -10.826  < 2e-16 ***
ToneVarDiphInt.ord3 XA aw -4.27561    0.37790 -11.314  < 2e-16 ***
ToneVarDiphInt.ord4 SM aj -3.37196    0.24833 -13.579  < 2e-16 ***
ToneVarDiphInt.ord4 SM aw -2.88528    0.34236  -8.428  < 2e-16 ***
ToneVarDiphInt.ord4 XA aj -0.99947    0.26075  -3.833 0.000127 ***
ToneVarDiphInt.ord4 XA aw -0.69958    0.33364  -2.097 0.036022 *  
order.ordX                 0.16949    0.17697   0.958 0.338227    
sex.ordM                  -0.26453    0.18180  -1.455 0.145662    
leftSegment.ordn          -0.03279    0.20379  -0.161 0.872158    
leftSegment.ordp          -0.40235    0.18450  -2.181 0.029209 *  
leftSegment.ordt          -0.43860    0.21072  -2.081 0.037401 *  
type.ord2                 -0.27969    0.11648  -2.401 0.016354 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                              edf Ref.df      F  p-value    
s(measurement.no)                           5.177  5.900  4.851 7.12e-05 ***
s(measurement.no):ToneVarDiphInt.ord1 SM aw 1.001  1.001  2.379  0.12286    
s(measurement.no):ToneVarDiphInt.ord1 XA aj 5.213  6.065 32.149  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 XA aw 5.946  6.545 35.129  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aj 7.618  8.471 59.262  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aw 8.250  8.839 80.764  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 XA aj 6.851  7.660 27.435  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 XA aw 7.944  8.546 59.828  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aj 5.446  5.817 18.151  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aw 6.214  6.655 28.987  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 XA aj 7.480  7.830 51.388  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 XA aw 7.515  7.885 52.313  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aj 7.836  8.116 45.947  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aw 7.721  8.072 46.448  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 XA aj 2.031  2.426  1.623  0.22810    
s(measurement.no):ToneVarDiphInt.ord4 XA aw 2.820  3.350  2.083  0.08841 .  
s(measurement.no):order.ordX                1.016  1.023  3.147  0.07340 .  
s(measurement.no):sex.ordM                  5.349  6.052 13.207  < 2e-16 ***
s(measurement.no):leftSegment.ordn          1.001  1.002  7.893  0.00495 ** 
s(measurement.no):leftSegment.ordp          3.936  4.754  2.663  0.02224 *  
s(measurement.no):leftSegment.ordt          6.791  7.775  5.490  < 2e-16 ***
s(measurement.no):type.ord2                 4.228  5.064  6.898 2.21e-06 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.835   Deviance explained = 85.2%
fREML =  30205  Scale est. = 1.2926    n = 23087

gam.check(XA_f0_2Diph_NoAsp_Overall_baseline_notZ_AR1)

Method: fREML   Optimizer: perf chol
$grad
 [1] -7.127632e-13 -1.989270e-04 -5.329071e-15 -5.284662e-14  1.625367e-13  1.629807e-13  3.730349e-14  7.904788e-14
 [9]  1.909584e-14  3.685940e-14  1.545430e-13  3.774758e-14  1.310063e-13  1.776357e-15 -4.742873e-13  6.417089e-14
[17] -8.623679e-05  4.032330e-13 -1.563407e-04  1.028067e-13 -2.371436e-13  1.556533e-13 -6.382805e-11  2.344791e-13
[25] -1.523505e-04 -1.421085e-14 -1.630696e-12 -1.065814e-14 -1.037392e-12  1.971756e-13 -1.953993e-11  1.154632e-13
[33] -6.394885e-12  3.268497e-13  1.854517e-12 -3.019807e-14  1.044498e-12 -7.283063e-14 -1.335820e-12  4.085621e-14
[41]  3.410605e-13  7.460699e-14 -3.865352e-12 -8.881784e-15 -5.684342e-12 -4.085621e-14 -2.586376e-12  0.000000e+00
[49] -3.268497e-12 -1.083578e-13 -1.445498e-04 -3.552714e-14 -1.339006e-04  1.634248e-12 -1.073808e-11  2.220446e-13
[57] -4.746425e-12  2.025047e-13 -1.900702e-13  3.277378e-13  1.719513e-12 -1.403322e-13 -4.312994e-12 -2.806644e-13
[65] -9.822543e-11

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]
   1.451165e+00 -1.698791e-05 -1.769288e-02  1.041065e-02  3.103919e-02  2.246554e-02  1.929351e-02  1.386888e-02 -4.275269e-02
  -1.698791e-05  1.988884e-04 -6.691555e-06 -2.377896e-05 -1.477093e-05 -1.344603e-05 -1.126102e-05 -1.212241e-05 -1.427198e-05
  -1.769288e-02 -6.691555e-06  2.265699e+00 -6.796185e-03  6.592947e-03  6.568685e-03  1.266429e-02  7.895039e-03 -3.720644e-03
   1.041065e-02 -2.377896e-05 -6.796185e-03  2.965316e+00 -1.686518e-03 -3.760909e-04  9.832577e-04  1.604446e-03 -3.753248e-03
   3.103919e-02 -1.477093e-05  6.592947e-03 -1.686518e-03  3.735763e+00 -2.570544e-02 -7.116501e-02 -2.583895e-02 -6.583943e-03
   2.246554e-02 -1.344603e-05  6.568685e-03 -3.760909e-04 -2.570544e-02  4.014560e+00 -2.494997e-02 -5.665521e-02 -6.787450e-03
   1.929351e-02 -1.126102e-05  1.266429e-02  9.832577e-04 -7.116501e-02 -2.494997e-02  3.281065e+00 -2.672183e-02 -6.700553e-03
   1.386888e-02 -1.212241e-05  7.895039e-03  1.604446e-03 -2.583895e-02 -5.665521e-02 -2.672183e-02  3.878238e+00 -8.068660e-03
  -4.275269e-02 -1.427198e-05 -3.720644e-03 -3.753248e-03 -6.583943e-03 -6.787450e-03 -6.700553e-03 -8.068660e-03  2.501437e+00
  -3.431259e-02 -1.322280e-05 -5.752090e-03 -5.947033e-03 -5.741735e-03 -5.900752e-03 -3.506896e-03 -4.411753e-03 -5.627058e-03
  -1.258558e-02  4.656076e-06 -1.133444e-02 -4.159097e-03  1.838586e-02  1.953042e-02  2.045775e-02  2.264493e-02  1.057491e-02
  -3.081120e-02  5.362588e-06 -9.146936e-03 -3.019819e-03  1.574763e-02  1.624490e-02  1.817341e-02  1.957340e-02  6.616079e-03
  -1.427427e-02  2.333567e-06 -6.457595e-03 -2.675936e-03  1.027799e-02  1.023418e-02  1.129630e-02  1.325397e-02  5.297656e-03
  -2.647493e-02  3.232262e-06 -8.718126e-03 -3.260571e-03  1.429655e-02  1.516371e-02  1.633030e-02  1.729158e-02  3.567827e-03
   5.108577e-02  3.140588e-05  1.095138e-02  1.542359e-02  2.247836e-02  2.134835e-02  1.850296e-02  1.921071e-02  2.564606e-02
          [,10]         [,11]         [,12]         [,13]         [,14]         [,15]         [,16]         [,17]         [,18]
  -3.431259e-02 -1.258558e-02 -3.081120e-02 -1.427427e-02 -2.647493e-02  5.108577e-02  1.147262e-01  1.827833e-03 -9.070038e-02
  -1.322280e-05  4.656076e-06  5.362588e-06  2.333567e-06  3.232262e-06  3.140588e-05  3.090378e-05 -3.681360e-08 -2.987536e-06
  -5.752090e-03 -1.133444e-02 -9.146936e-03 -6.457595e-03 -8.718126e-03  1.095138e-02  1.998094e-02 -1.177466e-04  1.452923e-03
  -5.947033e-03 -4.159097e-03 -3.019819e-03 -2.675936e-03 -3.260571e-03  1.542359e-02  1.699920e-02 -4.627359e-05 -1.188111e-03
  -5.741735e-03  1.838586e-02  1.574763e-02  1.027799e-02  1.429655e-02  2.247836e-02  6.087371e-03  3.057656e-05 -5.497262e-03
  -5.900752e-03  1.953042e-02  1.624490e-02  1.023418e-02  1.516371e-02  2.134835e-02  5.240289e-03  5.422660e-06 -5.235858e-03
  -3.506896e-03  2.045775e-02  1.817341e-02  1.129630e-02  1.633030e-02  1.850296e-02  1.188654e-03  2.998976e-05 -1.672946e-03
  -4.411753e-03  2.264493e-02  1.957340e-02  1.325397e-02  1.729158e-02  1.921071e-02  1.669325e-03  2.166294e-05 -2.713924e-03
  -5.627058e-03  1.057491e-02  6.616079e-03  5.297656e-03  3.567827e-03  2.564606e-02  2.382618e-02 -4.127179e-05  3.746262e-03
   3.032022e+00 -4.388094e-05 -8.055414e-03 -3.728434e-03 -1.569301e-03  2.287583e-02  2.707036e-02 -5.711376e-05 -3.577824e-03
  -4.388094e-05  3.629423e+00 -1.909007e-02 -1.365407e-02 -1.618329e-02 -1.068933e-02  4.701828e-03 -4.582581e-05 -2.297406e-03
  -8.055414e-03 -1.909007e-02  3.600183e+00 -1.499259e-02 -1.662221e-02 -9.912261e-03  7.464809e-03 -6.033859e-05 -5.705324e-03
  -3.728434e-03 -1.365407e-02 -1.499259e-02  3.575023e+00 -1.060587e-02 -1.010718e-02  6.355612e-03 -2.398650e-05 -2.521206e-03
  -1.569301e-03 -1.618329e-02 -1.662221e-02 -1.060587e-02  3.742365e+00 -6.471028e-03  1.347139e-02 -2.244566e-05 -3.096001e-03
   2.287583e-02 -1.068933e-02 -9.912261e-03 -1.010718e-02 -6.471028e-03  3.332204e-01 -7.705711e-02  1.214853e-04 -7.179464e-04
          [,19]         [,20]         [,21]         [,22]         [,23]         [,24]         [,25]         [,26]         [,27]
   2.534536e-05  7.622101e-02 -1.896179e-01 -3.215326e-02  1.689446e-01 -2.333924e-03  2.994321e-07 -2.103000e-03  1.237024e-03
   3.883922e-09  3.242019e-07 -1.843814e-06  6.302053e-07 -7.101810e-06 -9.175687e-07 -1.356729e-10  7.732813e-07 -7.463815e-08
  -4.210747e-07 -1.442961e-02 -2.797829e-02 -5.003638e-03 -2.056223e-02 -3.171077e-03  1.804569e-08  1.193135e-03  3.133915e-03
   8.295103e-07  5.905455e-04 -5.059926e-03 -3.434838e-04 -3.402147e-03  3.703777e-04 -1.913296e-07  7.805130e-04 -1.269688e-03
  -1.590106e-05  2.289174e-02 -1.196488e-02 -2.186020e-03 -2.714474e-03 -4.578479e-04 -1.750412e-07 -2.717556e-04  1.655851e-03
   7.034362e-06  2.694060e-04 -1.789842e-02 -2.332941e-03  1.035160e-02 -7.091675e-04 -1.330977e-07 -7.147291e-04  1.061706e-03
  -1.736927e-05  5.842337e-03 -1.771160e-02 -3.563501e-03 -2.346476e-03 -2.490764e-05 -1.175772e-07 -7.198611e-05 -1.250306e-04
   5.643974e-06 -7.963706e-03 -2.161145e-02 -2.096995e-03  2.934621e-03 -2.681545e-04 -1.328562e-07 -7.877746e-04  1.711628e-03
   4.532464e-06 -9.201801e-03 -4.534584e-03 -4.331604e-04 -5.168416e-03 -4.984112e-04 -6.446063e-08 -1.049341e-04  8.645818e-05
   5.630553e-07 -6.880058e-04 -5.964056e-03 -6.080650e-04 -4.012134e-03  1.258056e-04 -2.340974e-08 -1.145200e-03  8.842254e-04
  -6.608868e-06 -1.137727e-03 -8.010078e-04  3.050563e-03 -1.319404e-02  1.479760e-04  7.620853e-08  7.515393e-04  1.716845e-04
  -9.410752e-06  3.024405e-04  1.152617e-03 -2.505090e-04 -2.032389e-02  1.928554e-04  1.075142e-07  5.221424e-04 -1.853971e-05
  -3.241415e-06  9.729393e-04  3.815211e-03 -9.903741e-04 -5.476628e-03  1.486118e-03  3.853004e-08  8.443688e-04 -2.626382e-04
  -7.425714e-06  2.182579e-04 -7.965290e-04 -1.692966e-03 -3.203380e-03  6.079544e-04  7.274447e-08  7.269474e-04 -7.263076e-04
  -1.381253e-06  2.120656e-03 -1.730062e-03  1.243895e-03  1.186707e-02  2.348815e-03  1.591229e-07  4.418282e-04 -2.803746e-03
          [,28]         [,29]         [,30]         [,31]         [,32]         [,33]         [,34]         [,35]         [,36]
  -1.535418e-03  5.104390e-03  3.565287e-03 -2.574012e-02  3.474395e-03 -2.245559e-02  2.841012e-03 -2.720103e-03  1.533957e-03
   9.917729e-07 -2.467347e-06 -3.350887e-07 -5.322726e-07  3.711051e-07  6.555448e-07  5.430974e-07  1.980383e-06  1.563014e-07
   3.252653e-02  6.356962e-03  1.786531e-04  1.106580e-03  6.770912e-04 -1.703662e-03  1.484416e-04 -1.709427e-02  6.512730e-04
   1.356101e-04 -3.032588e-01  3.527549e-02 -4.222907e-04 -4.379405e-04  6.068332e-07 -4.717115e-04 -1.302270e-03 -4.925405e-04
   4.523469e-04  6.654962e-04 -7.632791e-05 -5.648859e-02 -9.241362e-03 -3.791471e-04 -2.249921e-04 -2.533867e-03 -2.974415e-04
   4.801696e-04  2.975216e-04 -2.675243e-05 -1.947138e-03 -1.417601e-04 -1.792742e-01  9.746841e-04 -4.765422e-04 -2.422241e-04
  -3.958059e-04  8.573723e-04 -2.317504e-04 -9.895580e-03  1.468868e-03 -4.179857e-04  1.010351e-04 -1.172148e-01  5.169853e-04
   3.654245e-04  1.676556e-03  8.054133e-05 -2.818372e-03 -2.152248e-04 -1.905135e-02  2.116001e-04 -1.422525e-03 -2.815701e-04
   3.113685e-04  1.233327e-03  2.249057e-04 -3.592010e-04  2.914123e-04 -8.759692e-04  2.026566e-04 -1.468620e-04  2.471977e-04
   1.345762e-04  1.333783e-03  5.228984e-04  4.449834e-06  2.129890e-04  7.390704e-04 -6.258766e-05  1.040025e-03  4.384461e-04
   2.707135e-05  1.722509e-03  2.914163e-04  2.535715e-03  2.528434e-04  3.863924e-03  2.391269e-05  7.110218e-04  8.984327e-05
  -1.604049e-04 -8.116285e-03  5.218824e-04  2.951626e-03  1.508094e-04  2.903891e-03  8.503439e-05  9.423141e-04  3.493755e-05
  -2.626525e-04  2.051582e-03 -8.831705e-05  1.900009e-03 -4.334433e-04  1.096175e-03 -4.913210e-04  5.374017e-04 -5.550810e-04
  -9.011347e-05  1.269572e-03  3.099613e-04  8.365493e-04  3.720692e-04  5.251273e-04 -3.282883e-05  3.094352e-04 -3.487031e-05
  -1.132866e-03 -3.274592e-03 -9.395171e-04 -1.145131e-03 -7.783948e-04 -6.667352e-04 -7.297712e-04 -2.973811e-03 -4.128296e-04
          [,37]         [,38]         [,39]         [,40]         [,41]         [,42]         [,43]         [,44]         [,45]
   1.366163e-02  1.953415e-03 -3.267074e-03 -1.567832e-03  1.353344e-03  3.577617e-03  2.619100e-02 -3.337350e-03  2.503283e-02
   5.871658e-06  5.094652e-08 -3.015172e-08  6.005836e-08 -1.522736e-06  1.339136e-07  5.376569e-07 -3.400843e-07  1.350732e-06
  -2.772533e-03  3.246366e-04 -5.647716e-03 -3.545611e-04  5.719808e-03 -1.181969e-03  5.152531e-03 -5.725711e-05  1.484660e-03
  -7.545249e-04 -4.210590e-04  1.159814e-03  6.439836e-05  1.057174e-03 -1.111735e-04  7.969366e-04 -4.203819e-05  2.707078e-04
   1.134931e-04 -4.374176e-04  3.843514e-03  5.483749e-04  1.139021e-03 -3.102451e-05  3.726863e-04 -3.775785e-04  4.237406e-03
   8.439008e-03 -6.953336e-04  1.705955e-03  5.928290e-04 -1.511363e-03 -2.060551e-04  8.001300e-04 -1.778864e-04  3.067568e-03
  -1.058256e-03 -3.303935e-04  2.844415e-03  3.642968e-04 -8.601408e-04 -1.532532e-04  8.362711e-04 -4.997044e-04  1.539232e-03
  -9.901847e-02 -1.978234e-03  1.269467e-04  6.913034e-04 -1.358117e-03 -1.253290e-04  2.417006e-03 -2.360649e-04  3.680218e-03
  -1.458956e-03  5.190446e-04 -2.649793e-01  2.179481e-02  1.642011e-03 -1.014762e-04 -5.730377e-03 -6.893358e-05 -3.113494e-04
  -1.154243e-03  7.743461e-04 -8.591549e-04  1.999535e-04 -3.512208e-01 -2.976748e-03  2.963913e-04  1.275079e-05 -3.903150e-03
   2.046532e-03  4.753809e-05 -6.303222e-03  1.056186e-04  8.669289e-04 -1.089010e-04 -2.684620e-01  8.071296e-03 -4.929011e-03
   1.687324e-03  1.274849e-04 -1.005005e-03  1.547931e-05  3.117093e-03 -6.402959e-04  2.773861e-05  6.695363e-05 -2.213024e-01
   1.448084e-03 -5.943765e-04 -2.923085e-04  1.648492e-04  2.978072e-04  1.044150e-04 -2.579414e-04 -9.499169e-05 -3.934316e-03
   2.413824e-04 -2.090082e-04 -8.056569e-04  2.192944e-05  9.948687e-04  2.561247e-04 -2.640805e-04 -1.031310e-04 -3.517987e-03
   2.704084e-03 -7.958537e-04  1.997922e-03 -2.248969e-05  1.723063e-03 -1.947316e-04 -1.909184e-03  7.324198e-04 -2.773162e-03
          [,46]         [,47]         [,48]         [,49]         [,50]         [,51]         [,52]         [,53]         [,54]
   1.890248e-04 -1.514457e-02  2.009002e-03  2.307721e-03 -2.190411e-03  1.038911e-07  1.859157e-03  2.661158e-06  2.552415e-03
   1.641272e-07  1.075219e-06 -1.259780e-07 -9.942434e-07 -2.062206e-07  6.233412e-11  1.401787e-07 -2.755388e-11  3.061288e-07
   8.554125e-05  3.878002e-03 -9.638118e-05  5.967028e-03 -1.014640e-03 -2.858328e-08  6.232946e-04 -1.257331e-07  8.796199e-04
  -3.460116e-04 -1.466230e-03  3.956935e-04  9.217892e-04 -3.298528e-05  3.178934e-08 -3.670581e-04  2.128040e-08 -3.274707e-04
  -3.856059e-04  4.951239e-04 -7.013866e-05 -3.962238e-03 -8.834102e-05  7.529119e-08  1.525236e-04  1.980672e-07 -3.608951e-04
  -2.005382e-04  6.115077e-05 -5.653696e-04 -3.178331e-03 -3.000617e-04  5.476578e-08  1.408998e-04  1.526434e-07  2.493463e-04
  -3.190735e-04  6.448525e-04 -1.348468e-04 -3.582037e-04  9.224057e-05  5.282839e-08 -5.930927e-04  1.137941e-07 -1.621676e-04
  -1.609684e-04  2.791114e-03 -1.634533e-04 -9.061292e-04 -9.780313e-05  6.046598e-08 -1.268821e-04  1.216203e-07 -8.449736e-05
  -8.675969e-07  2.052554e-03 -3.597352e-04  1.597147e-03 -4.689989e-06  5.030713e-08  6.460862e-05 -1.691577e-09  1.102635e-04
   7.711667e-05 -7.918006e-04 -2.077347e-04 -4.355951e-04 -2.968404e-04  3.788935e-08  4.454378e-04  8.915022e-08 -2.908698e-06
   1.717002e-04 -3.089924e-03  2.758935e-04  1.001691e-03  8.491845e-05 -5.079652e-08  1.261736e-04 -1.297665e-07  1.248319e-04
   1.176184e-02 -3.955687e-03  1.115215e-04  1.017670e-03 -2.265513e-05 -3.998596e-08  1.151913e-04 -1.473757e-09 -2.537032e-06
  -3.581245e-04 -4.631714e-01  2.597844e-03  8.817128e-04  2.713437e-04 -4.121867e-08  1.555752e-04 -1.833358e-08 -3.485466e-04
   1.862031e-04 -3.478450e-03  7.098522e-04 -3.521885e-01 -1.519814e-02 -4.110968e-08 -4.350033e-04 -3.774612e-07 -1.425753e-03
  -1.080504e-04  2.788559e-03 -1.099942e-04  2.476197e-03  2.501294e-04  4.484332e-07 -1.879724e-03 -3.347687e-07 -8.060476e-04
          [,55]         [,56]         [,57]         [,58]         [,59]         [,60]         [,61]         [,62]         [,63]
   2.812850e-02  8.384003e-03  2.008059e-02 -1.341967e-02  1.620111e-02 -2.091427e-04  1.520045e-02 -7.507593e-03  1.054901e-01
  -1.324019e-05  4.281170e-07  3.080144e-06  1.685924e-07 -7.510122e-06 -3.971602e-07 -1.079908e-04  4.483686e-07  3.849749e-06
   1.603765e-02 -1.659520e-03 -8.991030e-03  9.746261e-04  6.558165e-03  9.940087e-04 -2.414718e-02  1.462954e-03  4.111182e-02
   3.820430e-03  6.374766e-03  1.251241e-03  1.300137e-03 -2.401029e-03  2.855080e-03 -3.178327e-02  4.233842e-04  3.373969e-03
   1.194151e-03 -2.404555e-03  1.559617e-03 -1.487893e-03  3.344330e-03 -3.895957e-04 -7.176044e-02 -5.183593e-04 -9.582143e-03
  -1.331042e-03 -1.681773e-03 -1.410204e-02 -2.226898e-03 -2.958512e-03  1.550903e-03 -1.296441e-01  6.853125e-04 -5.018222e-03
   1.354034e-02 -2.741746e-05  2.123026e-02  8.373824e-04  4.388079e-03  1.560925e-04 -2.501550e-02 -2.317563e-04  8.196977e-03
   2.761907e-03 -6.066145e-04 -4.572928e-03 -1.665939e-03 -6.044884e-03  1.739531e-03 -1.130234e-01  6.503803e-04 -7.054125e-02
  -5.440350e-03  3.882749e-03 -3.631791e-03  4.712766e-04 -2.279872e-04  2.297448e-03  8.451226e-02 -1.857013e-03 -2.231943e-03
  -8.676020e-03  3.009492e-03  2.562163e-03 -5.012598e-04 -3.479706e-03  3.167137e-03  3.406166e-03 -5.581067e-03  4.843185e-03
  -1.455490e-02 -1.671616e-03  5.145050e-03  6.163986e-04 -9.740482e-03 -4.791510e-05 -1.009103e-01 -5.480763e-03 -4.730366e-02
  -1.933862e-03  9.297519e-04  9.174244e-03  2.347488e-04 -1.377763e-02  2.610299e-03 -1.028447e-01 -3.540931e-05 -5.109091e-03
  -2.288328e-03 -9.900474e-04  1.821460e-02 -5.360387e-05 -3.813012e-03 -3.631876e-04 -2.897037e-03 -2.424696e-04 -1.229112e-02
  -1.037650e-02  8.388977e-04  1.536434e-03  1.147429e-03 -3.241745e-04  7.265511e-04  2.283707e-02 -1.413538e-04 -6.318018e-03
   7.226196e-02 -7.933479e-04  7.949724e-03  6.603550e-03  5.761728e-03  6.853328e-05 -2.168434e-01  1.032270e-02  4.116912e-03
          [,64]         [,65]
   8.794832e-03 -2.088470e+00
  -2.638082e-07 -9.153534e-05
  -1.564039e-03 -2.106265e+00
   4.315315e-03 -2.473172e+00
  -5.103356e-04 -3.308814e+00
   1.561197e-03 -3.624765e+00
   3.131573e-03 -2.925325e+00
   1.497789e-03 -3.472221e+00
   3.952074e-03 -2.222941e+00
   4.036141e-04 -2.607187e+00
   1.062533e-03 -3.240161e+00
   4.035699e-04 -3.257443e+00
  -2.934947e-04 -3.418115e+00
  -2.885325e-03 -3.360433e+00
  -1.232719e-03 -5.154624e-01
 [ reached 'max' / getOption("max.print") -- omitted 50 rows ]

Model rank =  6226 / 6226 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                        k'    edf k-index p-value
s(measurement.no)                                    10.00   5.18    1.03    0.99
s(measurement.no):ToneVarDiphInt.ord1 SM aw          10.00   1.00    1.03    0.98
s(measurement.no):ToneVarDiphInt.ord1 XA aj          10.00   5.21    1.03    0.97
s(measurement.no):ToneVarDiphInt.ord1 XA aw          10.00   5.95    1.03    0.97
s(measurement.no):ToneVarDiphInt.ord2 SM aj          10.00   7.62    1.03    0.95
s(measurement.no):ToneVarDiphInt.ord2 SM aw          10.00   8.25    1.03    0.98
s(measurement.no):ToneVarDiphInt.ord2 XA aj          10.00   6.85    1.03    0.99
s(measurement.no):ToneVarDiphInt.ord2 XA aw          10.00   7.94    1.03    0.99
s(measurement.no):ToneVarDiphInt.ord3 SM aj          10.00   5.45    1.03    0.99
s(measurement.no):ToneVarDiphInt.ord3 SM aw          10.00   6.21    1.03    0.96
s(measurement.no):ToneVarDiphInt.ord3 XA aj          10.00   7.48    1.03    0.98
s(measurement.no):ToneVarDiphInt.ord3 XA aw          10.00   7.51    1.03    0.98
s(measurement.no):ToneVarDiphInt.ord4 SM aj          10.00   7.84    1.03    0.98
s(measurement.no):ToneVarDiphInt.ord4 SM aw          10.00   7.72    1.03    0.95
s(measurement.no):ToneVarDiphInt.ord4 XA aj          10.00   2.03    1.03    0.99
s(measurement.no):ToneVarDiphInt.ord4 XA aw          10.00   2.82    1.03    0.99
s(measurement.no):order.ordX                         10.00   1.02    1.03    0.99
s(measurement.no):sex.ordM                           10.00   5.35    1.03    0.98
s(measurement.no):leftSegment.ordn                   10.00   1.00    1.03    0.99
s(measurement.no):leftSegment.ordp                   10.00   3.94    1.03    0.99
s(measurement.no):leftSegment.ordt                   10.00   6.79    1.03    0.99
s(measurement.no):type.ord2                          10.00   4.23    1.03    0.98
s(measurement.no,speaker)                           264.00  94.59    1.03    0.99
s(measurement.no,speaker):ToneVarDiphInt.ord1 SM aw 264.00  18.00    1.03    0.99
s(measurement.no,speaker):ToneVarDiphInt.ord1 XA aj 264.00  82.28    1.03    0.98
s(measurement.no,speaker):ToneVarDiphInt.ord1 XA aw 264.00 150.75    1.03    0.99
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aj 264.00  91.03    1.03    0.98
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aw 264.00 128.93    1.03    0.98
s(measurement.no,speaker):ToneVarDiphInt.ord2 XA aj 264.00  87.15    1.03    0.98
s(measurement.no,speaker):ToneVarDiphInt.ord2 XA aw 264.00 112.86    1.03    0.98
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aj 264.00 178.18    1.03    0.98
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aw 264.00 175.97    1.03    0.97
s(measurement.no,speaker):ToneVarDiphInt.ord3 XA aj 264.00 187.66    1.03    0.99
s(measurement.no,speaker):ToneVarDiphInt.ord3 XA aw 264.00 184.13    1.03    0.97
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aj 264.00 203.73    1.03    0.98
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aw 264.00 194.57    1.03    0.99
s(measurement.no,speaker):ToneVarDiphInt.ord4 XA aj 264.00  19.50    1.03    0.96
s(measurement.no,speaker):ToneVarDiphInt.ord4 XA aw 264.00  19.11    1.03    0.99
s(measurement.no,character)                         352.00  36.66    1.03    1.00
s(measurement.no,character):sex.ordM                352.00  64.59    1.03    0.98
s(measurement.no,character):order.ordX              352.00  29.70    1.03    0.98
s(measurement.no,character):type.ord2               352.00 148.86    1.03    0.98
s(measurement.no,character):variety.ordXA           352.00  76.14    1.03    0.99

1.11 TJ_f0_2Diph_NoAsp_Overall_baseline_notZ

TJ_f0_2Diph_NoAsp_Overall_baseline_notZ_AR1 <- readRDS("TJ_f0_2Diph_NoAsp_Overall_baseline_notZ_AR1.rds")

summary(TJ_f0_2Diph_NoAsp_Overall_baseline_notZ_AR1, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f0_10C ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord) + s(measurement.no, character, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    character, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = sex.ord) + s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1, by = order.ord) + s(measurement.no, character, 
    bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, by = type.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1, by = variety.ord)

Parametric coefficients:
                          Estimate Std. Error t value Pr(>|t|)    
(Intercept)                4.11629    0.46032   8.942  < 2e-16 ***
ToneVarDiphInt.ord1 SM aw  0.40506    0.26076   1.553   0.1203    
ToneVarDiphInt.ord1 TJ aj -6.28776    0.47393 -13.267  < 2e-16 ***
ToneVarDiphInt.ord1 TJ aw -5.82267    0.52261 -11.142  < 2e-16 ***
ToneVarDiphInt.ord2 SM aj -4.41872    0.38816 -11.384  < 2e-16 ***
ToneVarDiphInt.ord2 SM aw -3.83195    0.35559 -10.776  < 2e-16 ***
ToneVarDiphInt.ord2 TJ aj -3.50911    0.53474  -6.562 5.43e-11 ***
ToneVarDiphInt.ord2 TJ aw -2.81317    0.61532  -4.572 4.86e-06 ***
ToneVarDiphInt.ord3 SM aj -8.26255    0.49718 -16.619  < 2e-16 ***
ToneVarDiphInt.ord3 SM aw -8.00597    0.57057 -14.031  < 2e-16 ***
ToneVarDiphInt.ord3 TJ aj -7.79150    0.51520 -15.123  < 2e-16 ***
ToneVarDiphInt.ord3 TJ aw -7.60271    0.52369 -14.518  < 2e-16 ***
ToneVarDiphInt.ord4 SM aj -2.64960    0.24689 -10.732  < 2e-16 ***
ToneVarDiphInt.ord4 SM aw -2.49194    0.32623  -7.638 2.29e-14 ***
ToneVarDiphInt.ord4 TJ aj -2.29676    0.53850  -4.265 2.01e-05 ***
ToneVarDiphInt.ord4 TJ aw -2.63719    0.50420  -5.230 1.71e-07 ***
order.ordT                -0.44788    0.49650  -0.902   0.3670    
sex.ordM                  -1.06945    0.49470  -2.162   0.0306 *  
leftSegment.ordn          -0.21161    0.16649  -1.271   0.2037    
leftSegment.ordp          -0.04910    0.14972  -0.328   0.7429    
leftSegment.ordt          -0.10380    0.16861  -0.616   0.5381    
type.ord2                 -0.62377    0.09855  -6.330 2.51e-10 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                              edf Ref.df      F  p-value    
s(measurement.no)                           6.717  7.340  8.539  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 SM aw 1.075  1.125  0.170  0.69331    
s(measurement.no):ToneVarDiphInt.ord1 TJ aj 6.962  7.583 55.806  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord1 TJ aw 6.973  7.561 63.365  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aj 7.598  8.433 47.414  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 SM aw 7.714  8.311 46.543  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 TJ aj 6.619  7.507 23.982  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord2 TJ aw 7.243  7.935 27.995  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aj 6.422  6.898 29.708  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 SM aw 5.499  5.861 17.226  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 TJ aj 6.811  7.268 24.409  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord3 TJ aw 5.012  5.221 10.808  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aj 8.101  8.483 64.252  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 SM aw 8.057  8.433 53.582  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 TJ aj 7.912  8.340 52.693  < 2e-16 ***
s(measurement.no):ToneVarDiphInt.ord4 TJ aw 7.744  8.162 35.187  < 2e-16 ***
s(measurement.no):order.ordT                1.001  1.001  0.417  0.51862    
s(measurement.no):sex.ordM                  3.373  3.686  4.312  0.00274 ** 
s(measurement.no):leftSegment.ordn          1.372  1.570  0.360  0.76123    
s(measurement.no):leftSegment.ordp          3.961  4.826  5.624 7.92e-05 ***
s(measurement.no):leftSegment.ordt          6.454  7.543  4.830 1.83e-05 ***
s(measurement.no):type.ord2                 5.051  6.171  3.357  0.00239 ** 
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.812   Deviance explained = 83.5%
fREML =  34032  Scale est. = 1.8764    n = 23230

gam.check(TJ_f0_2Diph_NoAsp_Overall_baseline_notZ_AR1)

Method: fREML   Optimizer: perf chol
$grad
 [1] -1.394387e-10 -5.493055e-11 -1.830580e-11 -4.769873e-11 -2.048228e-11 -2.022693e-11  1.023182e-11  1.146994e-11
 [9] -6.050316e-11 -6.482104e-11 -3.406520e-11 -4.284750e-11  2.979839e-13 -6.071588e-12  1.343015e-11  5.046186e-12
[17] -2.045483e-04 -3.400835e-12 -2.578920e-11 -2.527378e-11  1.835820e-11 -2.002842e-13 -1.622169e-11 -2.627232e-12
[25] -8.684793e-05  1.433520e-11 -4.703793e-12  9.521273e-13 -7.450751e-11 -1.920242e-12 -4.746425e-12 -1.117328e-12
[33]  6.913581e-12 -2.437162e-12 -1.557510e-11 -8.260059e-13  3.126388e-13 -2.360778e-12  4.547474e-13 -4.618528e-14
[41] -2.374634e-11  7.815970e-14 -1.196554e-11 -3.460343e-12 -8.785150e-11 -1.680434e-12 -5.509548e-11 -4.671818e-13
[49] -1.796252e-11 -4.007461e-12  1.614353e-11 -1.303846e-12  1.107026e-11 -1.350031e-12 -1.323749e-04 -6.332712e-13
[57] -1.075925e-09  2.226663e-12 -3.458531e-10 -1.905143e-12  5.584866e-11  4.824585e-12 -8.648602e-10 -8.754775e-12
[65]  2.361048e-09

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]
   2.784762e+00  1.262557e-02  5.373686e-03 -2.162672e-02  7.511930e-02  7.756695e-02  8.599924e-02  8.989049e-02 -5.465469e-02
   1.262557e-02  1.591083e-03  1.855470e-03  4.600721e-03  2.426710e-03  2.227158e-03  9.663548e-05 -5.035061e-04  5.764803e-03
   5.373686e-03  1.855470e-03  3.375795e+00 -1.451850e-02  5.441993e-03  7.815377e-03  1.824392e-02  1.871840e-02  4.287500e-03
  -2.162672e-02  4.600721e-03 -1.451850e-02  3.373972e+00  1.638423e-02  2.054342e-02  2.031211e-02  2.932334e-02  6.727909e-03
   7.511930e-02  2.426710e-03  5.441993e-03  1.638423e-02  3.580626e+00 -5.131124e-02 -7.745522e-02 -4.772239e-02 -1.078297e-02
   7.756695e-02  2.227158e-03  7.815377e-03  2.054342e-02 -5.131124e-02  3.667762e+00 -4.207430e-02 -9.375722e-02 -1.466625e-02
   8.599924e-02  9.663548e-05  1.824392e-02  2.031211e-02 -7.745522e-02 -4.207430e-02  3.043514e+00 -6.831409e-02 -7.426590e-03
   8.989049e-02 -5.035061e-04  1.871840e-02  2.932334e-02 -4.772239e-02 -9.375722e-02 -6.831409e-02  3.476718e+00 -1.138599e-02
  -5.465469e-02  5.764803e-03  4.287500e-03  6.727909e-03 -1.078297e-02 -1.466625e-02 -7.426590e-03 -1.138599e-02  2.992471e+00
  -4.944173e-02  5.736092e-03 -3.782044e-03 -1.881218e-03 -6.245651e-03 -7.194957e-03  6.219746e-03  2.510748e-03 -1.579178e-02
   5.334024e-02  2.941204e-03  5.558686e-03  1.607664e-02 -3.349827e-02 -3.760414e-02 -3.070131e-02 -3.817040e-02 -3.799748e-02
   2.412247e-02  3.682429e-03  3.688965e-03  9.688504e-03 -2.495164e-02 -2.722551e-02 -2.093605e-02 -2.609829e-02 -1.487887e-02
  -1.312658e-01 -5.203097e-05 -2.065766e-03 -1.227306e-02  3.728036e-02  3.785562e-02  3.266240e-02  3.867383e-02 -2.661220e-03
  -1.259941e-01  3.984407e-04 -4.462989e-03 -1.130429e-02  3.107996e-02  3.192539e-02  3.868258e-02  3.986846e-02 -4.144693e-03
  -1.361885e-01 -1.061565e-03 -2.910973e-03 -1.443886e-02  4.156919e-02  4.224921e-02  3.567134e-02  4.276194e-02  9.922659e-04
          [,10]         [,11]         [,12]         [,13]         [,14]         [,15]         [,16]         [,17]         [,18]
  -4.944173e-02  5.334024e-02  2.412247e-02 -1.312658e-01 -1.259941e-01 -1.361885e-01 -1.370934e-01 -1.474651e-05 -1.312061e-02
   5.736092e-03  2.941204e-03  3.682429e-03 -5.203097e-05  3.984407e-04 -1.061565e-03 -5.037759e-04  3.350689e-08  7.694043e-05
  -3.782044e-03  5.558686e-03  3.688965e-03 -2.065766e-03 -4.462989e-03 -2.910973e-03 -3.815565e-03 -6.607483e-07 -1.221996e-03
  -1.881218e-03  1.607664e-02  9.688504e-03 -1.227306e-02 -1.130429e-02 -1.443886e-02 -1.506763e-02 -2.617497e-07 -1.432651e-03
  -6.245651e-03 -3.349827e-02 -2.495164e-02  3.728036e-02  3.107996e-02  4.156919e-02  3.767396e-02 -9.263209e-07 -1.781061e-03
  -7.194957e-03 -3.760414e-02 -2.722551e-02  3.785562e-02  3.192539e-02  4.224921e-02  4.020219e-02 -1.005106e-06 -2.377264e-03
   6.219746e-03 -3.070131e-02 -2.093605e-02  3.266240e-02  3.868258e-02  3.567134e-02  3.916004e-02  2.732365e-07  6.240122e-05
   2.510748e-03 -3.817040e-02 -2.609829e-02  3.867383e-02  3.986846e-02  4.276194e-02  4.459801e-02 -2.055791e-07  1.360960e-03
  -1.579178e-02 -3.799748e-02 -1.487887e-02 -2.661220e-03 -4.144693e-03  9.922659e-04  3.503092e-04  5.202203e-08 -2.185414e-03
   2.389171e+00 -8.367149e-03 -1.710243e-02 -2.914878e-03 -5.861291e-03  3.020474e-05 -1.808879e-04 -6.462050e-07 -7.500054e-03
  -8.367149e-03  2.953874e+00 -2.471281e-02  2.690035e-02  2.391908e-02  3.310329e-02  3.324322e-02 -7.896979e-07 -2.556799e-03
  -1.710243e-02 -2.471281e-02  1.982183e+00  1.808986e-02  1.525026e-02  2.205800e-02  2.140548e-02 -6.997360e-07 -2.648147e-03
  -2.914878e-03  2.690035e-02  1.808986e-02  3.754974e+00 -3.647616e-02 -7.032510e-02 -4.271104e-02  1.146910e-06  2.332100e-03
  -5.861291e-03  2.391908e-02  1.525026e-02 -3.647616e-02  3.778514e+00 -3.861657e-02 -6.468659e-02  8.427905e-07  1.153557e-04
   3.020474e-05  3.310329e-02  2.205800e-02 -7.032510e-02 -3.861657e-02  3.693911e+00 -4.865026e-02  1.269708e-06  3.785090e-03
          [,19]         [,20]         [,21]         [,22]         [,23]         [,24]         [,25]         [,26]         [,27]
   2.536162e-02 -1.065153e-01 -9.439301e-02 -1.225217e-01  7.148577e-02 -2.373332e-03  1.503763e-06 -1.816047e-03  2.744117e-02
   1.315152e-03  3.028879e-04 -5.042715e-05 -4.843378e-05  1.083868e-03  2.086677e-04  9.070392e-08 -1.227160e-03 -3.030991e-03
   6.079702e-04 -6.528682e-03 -1.963768e-02  9.082750e-04 -8.189726e-03 -5.420600e-04 -1.158995e-07 -1.119568e-03 -3.408724e-01
  -1.950505e-03 -2.514825e-03 -8.083356e-04  3.238892e-03 -1.646019e-02  9.350522e-06 -2.541226e-07  7.444134e-04  3.555227e-03
   2.001088e-03  1.799610e-03 -1.421231e-02 -8.982149e-03  9.993763e-03 -2.195109e-04 -1.422509e-07 -1.393149e-05  4.071674e-03
  -1.773192e-04 -9.573594e-03 -2.191801e-02 -9.377568e-03 -6.666568e-03 -2.629224e-04 -4.380407e-08  3.860051e-04  4.006665e-03
  -1.355275e-03 -4.038679e-03 -2.895708e-02 -6.007983e-04 -1.005353e-02  1.262996e-04 -1.348006e-07 -1.179810e-04  7.857332e-03
   5.569533e-04 -6.371855e-03 -3.565966e-02 -5.558940e-03  1.758852e-02  1.787369e-05 -1.408331e-07  3.269962e-04  5.360307e-03
  -2.565644e-03 -1.481785e-02 -1.534628e-02 -4.976838e-03 -2.605689e-02 -8.587546e-04  5.296791e-07 -6.693737e-04  5.652957e-03
  -3.057544e-03 -8.280927e-03 -8.857087e-03 -3.854872e-03 -3.406170e-02 -6.340733e-04  3.559816e-07 -3.921277e-04  3.431956e-03
  -1.089952e-03 -1.526355e-02 -2.066450e-02 -5.858325e-03 -2.661988e-02 -5.571064e-04  1.119805e-07  1.214014e-04  3.736559e-03
  -9.919795e-04 -9.364779e-03 -1.040443e-02 -4.503793e-03 -1.690865e-02 -1.880440e-04  1.471449e-07 -3.224161e-04  1.388638e-03
  -8.398615e-04  1.024140e-03  6.744253e-03  5.264455e-04 -3.684078e-02 -1.654997e-03  3.178112e-07 -8.245762e-04  4.091351e-03
  -1.129859e-03  6.071458e-04  4.486065e-03  2.892915e-03 -3.787814e-02 -4.554667e-04  3.244922e-07 -5.043676e-04  9.206323e-04
  -1.584365e-03  4.587446e-04  3.350380e-03  2.651515e-03  3.668156e-03 -5.489556e-05  1.746685e-07  5.104761e-04  4.756639e-03
          [,28]         [,29]         [,30]         [,31]         [,32]         [,33]         [,34]         [,35]         [,36]
  -3.732077e-04  2.766513e-03 -1.031353e-03 -4.913444e-03 -1.668495e-03 -8.337442e-03 -4.455936e-03  6.193518e-03 -1.403724e-03
   3.865482e-06  5.825277e-03  2.012730e-04 -4.695258e-05  1.533537e-04 -4.625631e-04  2.307695e-04 -5.705373e-05  2.153139e-04
   4.175269e-03  5.115479e-03 -7.370166e-05  2.032336e-03  3.716575e-04 -2.520189e-03 -6.676202e-05 -1.993116e-03  1.749724e-04
   3.803253e-04 -2.544431e-01 -3.902152e-04  6.903401e-04  2.698915e-04 -8.467704e-04 -2.066511e-04  1.104937e-03  7.662145e-06
   1.242304e-04  8.988437e-03  3.643013e-05 -8.102200e-02  7.362139e-03 -2.213967e-03 -1.793998e-04  3.056575e-02 -1.339718e-03
   1.386589e-05  8.538866e-03  7.495673e-06 -3.830775e-03 -3.198001e-04 -1.511403e-01  1.348516e-03 -3.288988e-03 -2.974105e-04
   1.178400e-04  4.289925e-03  1.698565e-04  7.266584e-03 -2.232058e-04 -3.469117e-04  4.126551e-05 -5.184779e-02 -8.874937e-04
   7.239187e-06  4.393897e-03  2.114528e-04 -4.721484e-03 -2.581110e-04 -7.854498e-03 -4.771100e-04 -3.381676e-03 -1.124731e-04
  -3.397783e-04  6.633287e-03 -2.274436e-04  1.134398e-03 -8.453242e-04  3.042495e-03 -8.929137e-04  1.953985e-03 -4.046029e-04
  -3.563798e-04  9.353444e-03 -2.935271e-04  1.705207e-03 -3.756963e-04  1.663449e-03 -7.595560e-04  3.250223e-03 -7.285040e-04
  -1.941506e-04  1.214165e-02 -5.856304e-05 -8.273959e-04 -5.042885e-04 -6.149879e-04 -2.287945e-04 -2.078819e-04 -1.913110e-04
   7.594459e-06  7.910245e-03  2.592608e-04  4.539709e-04 -7.176925e-04  1.315250e-03 -7.781489e-04  1.182700e-03 -4.070916e-04
  -4.233809e-04 -9.045910e-03 -1.139394e-03  1.683892e-03  1.240525e-03 -2.197915e-03  4.587443e-04  7.481920e-04 -2.319168e-04
  -5.631232e-05 -7.154463e-03 -9.567841e-05  3.217735e-03 -6.029318e-04  2.055801e-03 -1.074906e-03  7.222018e-04 -1.221549e-04
   1.168094e-04 -9.565567e-03  3.143658e-05  6.961011e-04 -1.776950e-05 -4.347639e-03 -5.039409e-04  1.709626e-03  1.680784e-04
          [,37]         [,38]         [,39]         [,40]         [,41]         [,42]         [,43]         [,44]         [,45]
   1.337138e-02 -1.058377e-03  6.310817e-03 -4.484136e-04 -2.084849e-02  1.921127e-03 -1.596863e-02 -3.829896e-03 -1.136315e-02
  -1.707004e-03  2.249788e-04 -4.774810e-04  5.110903e-05  6.095161e-04  3.882111e-05 -5.726522e-04  2.653164e-04  3.900658e-04
  -1.244157e-03  2.417453e-05  2.599313e-03  2.062212e-04  4.390552e-03  3.481047e-04  6.250722e-03 -1.362394e-04 -1.612217e-03
   9.686755e-03 -3.268109e-04  1.016392e-03  4.077853e-04  1.624650e-03 -8.519769e-05  7.689860e-06 -1.755320e-04  6.491491e-03
  -4.450987e-03 -1.202110e-04  7.821238e-04  5.053970e-04 -2.021301e-03 -1.812569e-04  1.269046e-03 -2.478150e-04 -1.255747e-02
   3.642014e-02 -4.714992e-04 -2.593665e-03  3.155545e-04 -5.334827e-03 -2.025558e-04 -4.427237e-03 -3.101001e-04 -1.852788e-02
  -2.392069e-03  1.388157e-05  2.898167e-04  5.441177e-04 -2.099516e-03 -6.034290e-04  5.365657e-03 -1.965795e-04 -1.181170e-02
  -5.119283e-02 -5.967292e-04 -5.591446e-03  4.446762e-04 -3.974663e-03 -2.595989e-04 -3.932979e-03 -7.076686e-05 -1.903602e-02
   1.213981e-03 -2.406148e-04 -3.577839e-01  9.308453e-03 -9.779074e-03 -5.093287e-04  5.725239e-03 -1.321907e-03 -1.189996e-02
   3.116858e-03 -4.194749e-04 -4.860473e-05 -2.572526e-04 -2.111500e-01 -1.362833e-02 -1.431310e-03 -8.008238e-04  1.308745e-02
  -2.224379e-03 -8.239846e-06 -2.111671e-02 -3.425018e-04 -8.677684e-03 -3.187315e-04 -3.498684e-01 -2.696110e-04 -1.982042e-02
  -2.558780e-04 -1.588662e-04 -1.722698e-03 -7.282924e-05 -3.650033e-02  1.135427e-04 -3.172725e-03 -3.831310e-04  1.129964e-01
   3.619617e-03 -4.496942e-04  3.533358e-03  1.494386e-04  5.498197e-04  8.344213e-05  4.196926e-03 -7.487302e-04  7.052031e-03
   7.155443e-04 -8.647324e-05  2.773280e-03 -3.190984e-04  3.455653e-04 -6.184822e-05  4.110240e-03 -1.838137e-04  6.065840e-03
   1.254904e-03 -4.190857e-05  3.329946e-03 -2.153010e-04  2.697809e-03 -1.886816e-04  6.503117e-04 -2.939769e-04  8.908364e-03
          [,46]         [,47]         [,48]         [,49]         [,50]         [,51]         [,52]         [,53]         [,54]
  -1.203080e-03 -4.092821e-03 -1.088147e-03  3.604283e-02 -9.348271e-04 -2.031500e-02 -1.969243e-03 -2.804630e-02 -1.379025e-03
   1.618034e-04  5.499491e-04 -5.187705e-05 -1.213943e-04  2.571399e-04 -1.820712e-04  1.400264e-04  4.291988e-04  1.568792e-04
   6.492019e-04 -5.614416e-04 -1.337747e-03  2.589217e-03 -7.971615e-04  2.149765e-03  1.015904e-05  6.133887e-03  2.021706e-04
   9.264122e-05 -3.121679e-04 -5.316355e-04  5.630344e-04 -5.958086e-04  2.807347e-03 -1.285788e-04  5.620271e-03  1.520459e-04
  -5.152574e-04 -7.497619e-04  9.168111e-04  3.743115e-03  7.554490e-04  3.492017e-03 -1.533307e-04  1.656602e-03 -5.126393e-04
  -5.935066e-04  2.396848e-03  8.288714e-04  5.845535e-03  3.267001e-04  5.961845e-03 -7.334541e-05  5.384661e-03 -4.294485e-04
  -6.231470e-04  3.089425e-03  1.011216e-03 -9.238256e-04  7.084090e-04 -3.697223e-03 -2.527863e-05  8.319502e-04 -3.301788e-04
  -4.468455e-04  4.054041e-03  1.064335e-03  5.911144e-03  1.002789e-03  2.443477e-03  1.120203e-04  9.658456e-04 -3.914323e-04
  -5.985309e-04  3.643467e-06  5.159879e-05 -9.372106e-04 -6.244949e-04  3.108985e-03 -2.931239e-04  4.057339e-04 -5.341338e-04
  -1.382045e-03 -1.972396e-03  8.249867e-05 -3.316691e-03 -3.861597e-04  3.845129e-03 -4.588555e-04  2.913569e-03 -5.089957e-04
  -3.136659e-04  2.710179e-03  8.152256e-04  3.083358e-03  3.354550e-04  1.306832e-03 -9.369356e-05  2.691229e-03 -4.084676e-04
  -1.455462e-02  4.419704e-04  4.191082e-04  1.129702e-03  3.307302e-04  3.984888e-03 -5.769711e-05  2.426248e-03 -2.996702e-04
  -7.033333e-04 -3.482408e-01  1.774513e-02 -1.673451e-03 -3.632047e-03 -1.323066e-02 -7.576387e-04 -4.868463e-03  3.219224e-04
  -9.557541e-05 -1.953095e-03 -1.111232e-03 -2.508133e-01  1.313392e-02 -3.043067e-03  1.926143e-05 -1.255631e-02  3.446951e-04
  -3.790668e-04  2.125104e-02 -4.280935e-03 -3.891363e-03 -7.315118e-04 -3.087464e-01  1.304638e-03  2.391749e-04  2.468000e-04
          [,55]         [,56]         [,57]         [,58]         [,59]         [,60]         [,61]         [,62]         [,63]
   8.973834e-07  2.309234e-03 -8.342397e-02 -4.863484e-04 -1.159684e-01 -3.207989e-03  3.408162e-02 -6.962286e-03 -2.019241e-03
   2.497713e-07 -4.077510e-04 -3.776623e-03 -1.428407e-04 -3.061202e-03  2.098415e-04  7.907239e-03 -6.690742e-04 -6.801169e-05
   1.721923e-06  1.227267e-03 -1.413358e-02  4.248010e-04 -6.906195e-03 -1.014701e-03  9.690757e-03  4.841668e-04 -6.902333e-04
  -9.647943e-07 -1.041217e-03  9.908929e-03  3.890316e-04  9.666091e-03  1.779291e-03 -1.877015e-02 -5.785926e-04 -2.281858e-02
   4.038202e-06 -7.084336e-04 -5.705262e-02 -3.390450e-04 -3.484159e-02  2.166373e-03  3.793688e-02 -2.838030e-04  2.529473e-03
   6.655151e-06 -2.958958e-04  5.448637e-02 -7.322627e-04  1.216327e-03 -1.656856e-04 -4.510739e-02 -2.231272e-04  1.090507e-03
   3.572057e-06  1.895405e-04 -2.125703e-03 -2.427321e-04 -4.867553e-02  1.301368e-03  3.405958e-02 -2.425265e-04 -1.686606e-02
   4.625718e-06  6.910413e-04  6.842060e-02 -4.071725e-04 -4.531008e-03  7.486115e-06 -1.189222e-01  5.669161e-04 -9.116187e-03
   6.314479e-06  2.770351e-03  2.160468e-02 -5.613134e-03  1.354386e-02 -5.817623e-03 -4.966576e-02  2.966135e-03 -4.729363e-03
   1.503410e-06  1.278249e-03 -2.035909e-02 -6.504994e-04  4.056910e-03 -3.360737e-03 -5.449611e-02 -8.022840e-04  8.298487e-03
   6.298687e-06  3.848709e-03  6.399804e-02 -1.880021e-03  1.753447e-02 -2.081330e-04 -1.196032e-01  1.657262e-03  2.579630e-02
   2.870986e-06  1.785150e-03  5.326633e-02 -2.554785e-03  8.949376e-03 -1.689078e-03 -1.178569e-01 -1.892994e-03 -3.966942e-03
  -2.091762e-06 -3.646167e-04  1.718235e-02  4.032998e-03 -5.983098e-02  2.977372e-04 -5.448150e-02 -1.501838e-03 -7.245456e-04
  -1.556068e-07 -1.786969e-03  2.802408e-02 -4.132282e-03 -4.408090e-02 -2.287463e-03  6.356168e-02 -6.002312e-04 -7.400763e-05
  -1.899864e-06 -3.374055e-03  4.765820e-03 -7.280013e-04 -6.982623e-02  2.034476e-03 -6.169796e-02  5.422706e-04 -1.224643e-02
          [,64]         [,65]
  -6.702110e-04 -2.858705e+00
   2.272345e-05 -3.744961e-02
  -1.179022e-03 -2.981104e+00
  -1.166989e-03 -2.986512e+00
   3.184633e-03 -3.299161e+00
  -9.685300e-04 -3.356770e+00
  -3.187339e-03 -2.809331e+00
   2.751540e-04 -3.121330e+00
   1.639176e-03 -2.710965e+00
  -6.824973e-04 -2.249349e+00
  -4.167597e-03 -2.905477e+00
   1.222919e-04 -2.006088e+00
  -1.820930e-03 -3.550579e+00
  -2.027800e-03 -3.528475e+00
   9.482374e-04 -3.455836e+00
 [ reached 'max' / getOption("max.print") -- omitted 50 rows ]

Model rank =  6116 / 6116 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                        k'    edf k-index p-value
s(measurement.no)                                    10.00   6.72    1.01    0.67
s(measurement.no):ToneVarDiphInt.ord1 SM aw          10.00   1.07    1.01    0.74
s(measurement.no):ToneVarDiphInt.ord1 TJ aj          10.00   6.96    1.01    0.62
s(measurement.no):ToneVarDiphInt.ord1 TJ aw          10.00   6.97    1.01    0.68
s(measurement.no):ToneVarDiphInt.ord2 SM aj          10.00   7.60    1.01    0.72
s(measurement.no):ToneVarDiphInt.ord2 SM aw          10.00   7.71    1.01    0.73
s(measurement.no):ToneVarDiphInt.ord2 TJ aj          10.00   6.62    1.01    0.66
s(measurement.no):ToneVarDiphInt.ord2 TJ aw          10.00   7.24    1.01    0.63
s(measurement.no):ToneVarDiphInt.ord3 SM aj          10.00   6.42    1.01    0.69
s(measurement.no):ToneVarDiphInt.ord3 SM aw          10.00   5.50    1.01    0.67
s(measurement.no):ToneVarDiphInt.ord3 TJ aj          10.00   6.81    1.01    0.67
s(measurement.no):ToneVarDiphInt.ord3 TJ aw          10.00   5.01    1.01    0.68
s(measurement.no):ToneVarDiphInt.ord4 SM aj          10.00   8.10    1.01    0.72
s(measurement.no):ToneVarDiphInt.ord4 SM aw          10.00   8.06    1.01    0.69
s(measurement.no):ToneVarDiphInt.ord4 TJ aj          10.00   7.91    1.01    0.68
s(measurement.no):ToneVarDiphInt.ord4 TJ aw          10.00   7.74    1.01    0.67
s(measurement.no):order.ordT                         10.00   1.00    1.01    0.69
s(measurement.no):sex.ordM                           10.00   3.37    1.01    0.66
s(measurement.no):leftSegment.ordn                   10.00   1.37    1.01    0.72
s(measurement.no):leftSegment.ordp                   10.00   3.96    1.01    0.67
s(measurement.no):leftSegment.ordt                   10.00   6.45    1.01    0.59
s(measurement.no):type.ord2                          10.00   5.05    1.01    0.72
s(measurement.no,speaker)                           264.00 125.62    1.01    0.73
s(measurement.no,speaker):ToneVarDiphInt.ord1 SM aw 264.00  15.42    1.01    0.67
s(measurement.no,speaker):ToneVarDiphInt.ord1 TJ aj 264.00 140.62    1.01    0.61
s(measurement.no,speaker):ToneVarDiphInt.ord1 TJ aw 264.00 158.61    1.01    0.69
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aj 264.00  96.96    1.01    0.61
s(measurement.no,speaker):ToneVarDiphInt.ord2 SM aw 264.00 145.75    1.01    0.73
s(measurement.no,speaker):ToneVarDiphInt.ord2 TJ aj 264.00  87.11    1.01    0.71
s(measurement.no,speaker):ToneVarDiphInt.ord2 TJ aw 264.00 131.01    1.01    0.67
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aj 264.00 151.26    1.01    0.71
s(measurement.no,speaker):ToneVarDiphInt.ord3 SM aw 264.00 171.86    1.01    0.68
s(measurement.no,speaker):ToneVarDiphInt.ord3 TJ aj 264.00 161.14    1.01    0.69
s(measurement.no,speaker):ToneVarDiphInt.ord3 TJ aw 264.00 206.05    1.01    0.68
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aj 264.00 168.08    1.01    0.65
s(measurement.no,speaker):ToneVarDiphInt.ord4 SM aw 264.00 178.80    1.01    0.78
s(measurement.no,speaker):ToneVarDiphInt.ord4 TJ aj 264.00 170.02    1.01    0.71
s(measurement.no,speaker):ToneVarDiphInt.ord4 TJ aw 264.00 176.12    1.01    0.65
s(measurement.no,character)                         330.00  11.72    1.01    0.59
s(measurement.no,character):sex.ordM                330.00  98.39    1.01    0.72
s(measurement.no,character):order.ordT              330.00  63.58    1.01    0.64
s(measurement.no,character):type.ord2               330.00 109.06    1.01    0.69
s(measurement.no,character):variety.ordTJ           330.00  32.43    1.01    0.66

1.12 XA_F1_f0_Optimized_notZ

XA_F1_f0_Optimized_notZ_AR1 <- readRDS("XA_F1_f0_Optimized_notZ_AR1.rds")

summary(XA_F1_f0_Optimized_notZ_AR1, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f1C ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10C, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10C, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10C, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10C, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10C, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10C, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10C, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10C, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(f0_10C, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(f0_10C, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(durationZ, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1)

Parametric coefficients:
                  Estimate Std. Error t value Pr(>|t|)    
(Intercept)       0.458795   0.073556   6.237 4.53e-10 ***
DiphVar.ordaj XA -0.393176   0.061954  -6.346 2.25e-10 ***
DiphVar.ordaw SM -0.349595   0.072597  -4.816 1.48e-06 ***
DiphVar.ordaw XA -0.626852   0.081636  -7.679 1.67e-14 ***
sex.ordM         -0.158658   0.056016  -2.832  0.00462 ** 
type.ord2         0.148276   0.009098  16.297  < 2e-16 ***
order.ordX        0.066876   0.055583   1.203  0.22892    
leftSegment.ordn  0.028064   0.070112   0.400  0.68896    
leftSegment.ordp -0.137331   0.064611  -2.126  0.03356 *  
leftSegment.ordt -0.146169   0.073229  -1.996  0.04594 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                              edf Ref.df       F  p-value    
s(measurement.no)                           9.672  9.721 158.485  < 2e-16 ***
s(f0_10C)                                   5.094  5.694   9.427  < 2e-16 ***
s(durationZ)                                1.001  1.002   3.958 0.046657 *  
ti(measurement.no,f0_10C)                  33.198 44.964   3.134  < 2e-16 ***
ti(measurement.no,durationZ)               21.442 28.029  13.588  < 2e-16 ***
ti(f0_10C,durationZ)                       16.769 23.835   1.483 0.057713 .  
ti(measurement.no,durationZ,f0_10C)        57.228 89.991   0.806 0.910340    
ti(measurement.no,f0_10C):DiphVar.ordaj XA  5.908  8.463   5.819  < 2e-16 ***
ti(measurement.no,f0_10C):DiphVar.ordaw SM  7.992 11.814   0.830 0.618471    
ti(measurement.no,f0_10C):DiphVar.ordaw XA 12.595 17.977   2.491 0.000445 ***
ti(measurement.no,f0_10C):sex.ordM         26.166 36.374   2.098 0.000133 ***
s(measurement.no):DiphVar.ordaj XA          5.247  6.216   9.480  < 2e-16 ***
s(measurement.no):DiphVar.ordaw SM          5.385  6.132  12.758  < 2e-16 ***
s(measurement.no):DiphVar.ordaw XA          7.074  7.874  17.083  < 2e-16 ***
s(measurement.no):type.ord2                 5.169  6.579  49.411  < 2e-16 ***
s(measurement.no):order.ordX                1.001  1.001   0.631 0.427066    
s(measurement.no):sex.ordM                  6.703  6.929  18.504  < 2e-16 ***
s(measurement.no):leftSegment.ordn          8.321  8.903  11.283  < 2e-16 ***
s(measurement.no):leftSegment.ordp          7.733  8.473   5.843  < 2e-16 ***
s(measurement.no):leftSegment.ordt          4.489  5.179   3.144 0.009465 ** 
s(f0_10C):DiphVar.ordaj XA                  2.286  2.849   1.894 0.138985    
s(f0_10C):DiphVar.ordaw SM                  3.161  3.807   1.570 0.173858    
s(f0_10C):DiphVar.ordaw XA                  3.725  4.503   2.301 0.038444 *  
s(f0_10C):sex.ordM                          1.000  1.001   4.055 0.044038 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.778   Deviance explained = 79.1%
fREML = 8534.4  Scale est. = 0.1452    n = 23087

gam.check(XA_F1_f0_Optimized_notZ_AR1)

Method: fREML   Optimizer: perf chol
$grad
 [1]  1.826078e-05  1.007951e-05 -2.967908e-04  1.156161e-06 -4.491717e-06 -2.327199e-06  3.765314e-05  1.173585e-04
 [9]  4.708412e-05  7.978833e-06 -2.326653e-05  1.516581e-05 -2.198537e-06 -8.463330e-07 -9.292822e-07  4.388445e-07
[17] -3.064657e-06 -3.275770e-06  7.644911e-06  2.148160e-06 -9.686297e-07  8.833278e-07  6.910106e-08  1.553433e-06
[25] -2.575782e-04  2.183160e-06 -6.415994e-07 -4.679887e-07 -1.092518e-06 -1.111401e-05 -5.972225e-06 -8.934213e-06
[33] -1.399002e-04  1.116928e-04  8.082633e-06 -1.820571e-06  5.228913e-06  2.387771e-05  8.096747e-06  2.032059e-07
[41] -1.487765e-07 -8.108409e-06 -2.160507e-05  8.170329e-05  8.082633e-06 -3.439608e-05 -2.160507e-05 -1.506272e-05
[49]  8.082633e-06  5.470288e-04

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]
   4.287486e+00  3.852084e-03 -8.650618e-07 -4.187492e-02  1.154957e-02 -3.828580e-03  4.161141e-03 -1.934695e-03 -2.562112e-04
   3.852084e-03  2.299766e+00 -3.397717e-05 -1.208478e-02 -7.050710e-02 -3.652607e-04 -1.545708e-02 -5.541784e-03 -1.136459e-03
  -8.650618e-07 -3.397717e-05  2.969244e-04 -1.477020e-07  8.732278e-06  2.124533e-06 -3.781571e-05 -1.170804e-04 -4.679016e-05
  -4.187492e-02 -1.208478e-02 -1.477020e-07  5.714389e+00  9.397869e-01  2.214572e-02  2.547710e-02 -1.101556e-03 -5.553335e-03
   1.154957e-02 -7.050710e-02  8.732278e-06  9.397869e-01  3.121285e+00  1.809077e-03  2.209885e-02 -1.672487e-02 -2.126870e-02
  -3.828580e-03 -3.652607e-04  2.124533e-06  2.214572e-02  1.809077e-03  3.508358e+00  8.564470e-01 -1.721902e-02 -1.072420e-03
   4.161141e-03 -1.545708e-02 -3.781571e-05  2.547710e-02  2.209885e-02  8.564470e-01  6.833905e-01 -2.383686e-02  1.322763e-02
  -1.934695e-03 -5.541784e-03 -1.170804e-04 -1.101556e-03 -1.672487e-02 -1.721902e-02 -2.383686e-02  1.592899e+00  1.670737e-01
  -2.562112e-04 -1.136459e-03 -4.679016e-05 -5.553335e-03 -2.126870e-02 -1.072420e-03  1.322763e-02  1.670737e-01  9.852051e-01
  -3.505768e-03 -3.364544e-03 -7.591658e-06  5.788987e-03  5.956221e-02 -1.348115e-02  1.669040e-01 -6.066618e-02 -2.650866e-03
  -7.165917e-04  1.100403e-03  2.348741e-05  2.000376e-02 -1.820508e-02  6.914999e-03  2.327697e-01 -1.950654e-03  9.817692e-02
   2.614545e-03  4.282273e-03 -1.603374e-05  2.369010e-02 -1.937632e-03  6.618073e-03  3.189207e-01 -7.346110e-02  4.229636e-02
   2.701516e-03 -2.261214e-03  1.833940e-06  9.963942e-03  5.899480e-02  6.610921e-04  1.043569e-02  8.360660e-03  8.437687e-03
   1.767671e-03 -1.744284e-02  7.399420e-07 -1.409394e-02 -3.797516e-02  2.366802e-04  2.595199e-02 -8.864092e-03  5.427278e-03
  -1.979982e-03  2.711332e-03  1.613108e-06  1.529331e-01  2.273490e-02  9.373959e-03  1.684156e-02 -5.259699e-03 -3.651041e-04
   1.540327e-03  7.456520e-04 -1.531187e-06  1.038123e-01  9.690041e-03  2.182751e-03  1.968530e-02 -6.059748e-03  1.585173e-03
   6.600400e-03 -6.607556e-03  3.001679e-06  4.710403e-02  1.273762e-01  1.209939e-03  2.186005e-02  3.254474e-03  6.124391e-03
  -1.781867e-04 -8.750675e-03 -9.543864e-07  1.248373e-03  3.468384e-02  2.246164e-03  3.158447e-02 -1.030153e-02 -3.877224e-03
  -2.008511e-02  1.927233e-03  7.227855e-07 -6.667518e-01 -2.120318e-02 -1.466370e-03  1.634123e-02  9.088623e-03  1.318021e-02
   2.013329e-03 -1.376610e-02 -7.480204e-06 -4.315518e-02  1.750193e-01 -5.390984e-03  1.466218e-02 -1.997331e-02 -1.498896e-02
          [,10]         [,11]         [,12]         [,13]         [,14]         [,15]         [,16]         [,17]         [,18]
  -3.505768e-03 -7.165917e-04  2.614545e-03  2.701516e-03  1.767671e-03 -1.979982e-03  1.540327e-03  6.600400e-03 -1.781867e-04
  -3.364544e-03  1.100403e-03  4.282273e-03 -2.261214e-03 -1.744284e-02  2.711332e-03  7.456520e-04 -6.607556e-03 -8.750675e-03
  -7.591658e-06  2.348741e-05 -1.603374e-05  1.833940e-06  7.399420e-07  1.613108e-06 -1.531187e-06  3.001679e-06 -9.543864e-07
   5.788987e-03  2.000376e-02  2.369010e-02  9.963942e-03 -1.409394e-02  1.529331e-01  1.038123e-01  4.710403e-02  1.248373e-03
   5.956221e-02 -1.820508e-02 -1.937632e-03  5.899480e-02 -3.797516e-02  2.273490e-02  9.690041e-03  1.273762e-01  3.468384e-02
  -1.348115e-02  6.914999e-03  6.618073e-03  6.610921e-04  2.366802e-04  9.373959e-03  2.182751e-03  1.209939e-03  2.246164e-03
   1.669040e-01  2.327697e-01  3.189207e-01  1.043569e-02  2.595199e-02  1.684156e-02  1.968530e-02  2.186005e-02  3.158447e-02
  -6.066618e-02 -1.950654e-03 -7.346110e-02  8.360660e-03 -8.864092e-03 -5.259699e-03 -6.059748e-03  3.254474e-03 -1.030153e-02
  -2.650866e-03  9.817692e-02  4.229636e-02  8.437687e-03  5.427278e-03 -3.651041e-04  1.585173e-03  6.124391e-03 -3.877224e-03
   1.393287e+00  2.361416e-01  1.131194e-01 -2.466309e-03 -8.268568e-03 -1.992392e-02 -8.111342e-04 -1.360521e-04 -2.016731e-02
   2.361416e-01  1.383502e+00  1.045072e-01 -2.393560e-03  3.347117e-03  2.582310e-03  4.009102e-03 -2.582415e-03  2.665786e-02
   1.131194e-01  1.045072e-01  2.379923e+00 -6.128151e-03 -1.911182e-02 -1.273236e-02  1.586316e-03 -3.478554e-03 -2.816175e-02
  -2.466309e-03 -2.393560e-03 -6.128151e-03  2.121811e-01  1.700256e-02  2.209959e-02  1.748648e-02 -6.554460e-02 -2.026306e-02
  -8.268568e-03  3.347117e-03 -1.911182e-02  1.700256e-02  1.024794e+00  7.351368e-03 -6.622984e-02 -3.933357e-02 -1.130231e-01
  -1.992392e-02  2.582310e-03 -1.273236e-02  2.209959e-02  7.351368e-03  6.246083e-01  1.639636e-01  2.156675e-02  3.913301e-03
  -8.111342e-04  4.009102e-03  1.586316e-03  1.748648e-02 -6.622984e-02  1.639636e-01  2.976625e-01  9.834318e-03 -4.869137e-03
  -1.360521e-04 -2.582415e-03 -3.478554e-03 -6.554460e-02 -3.933357e-02  2.156675e-02  9.834318e-03  7.241261e-01  3.202940e-02
  -2.016731e-02  2.665786e-02 -2.816175e-02 -2.026306e-02 -1.130231e-01  3.913301e-03 -4.869137e-03  3.202940e-02  1.291064e+00
   1.967872e-02  2.370399e-02  7.343128e-03 -4.555409e-03 -6.368698e-03 -5.076280e-02 -1.897615e-02 -3.167683e-04  2.577706e-02
   2.625976e-02  8.333618e-03 -2.038320e-02 -1.494893e-02 -3.243567e-02  6.052690e-03  1.155343e-02 -2.010000e-02 -5.917947e-02
          [,19]         [,20]         [,21]         [,22]         [,23]         [,24]         [,25]         [,26]         [,27]
  -2.008511e-02  2.013329e-03 -1.600745e-03 -2.067826e-02 -7.687485e-02 -3.614340e-03 -1.715470e-05 -2.174454e-01  8.833187e-02
   1.927233e-03 -1.376610e-02  1.417844e-03  1.280629e-03  2.916371e-03  2.868180e-04  3.795151e-08  1.394272e-04  4.303133e-04
   7.227855e-07 -7.480204e-06  1.089414e-06 -1.035706e-06 -1.424375e-07 -7.928977e-07 -3.882033e-11 -6.307163e-07  5.960620e-07
  -6.667518e-01 -4.315518e-02 -1.138944e-02 -1.947204e-02 -2.002761e-02 -9.647980e-04  1.227747e-06 -4.606829e-02 -8.913782e-03
  -2.120318e-02  1.750193e-01  1.206054e-02 -1.293161e-02  1.782960e-02  3.850863e-03  2.602093e-07  9.981020e-03 -8.768140e-03
  -1.466370e-03 -5.390984e-03 -4.201201e-03 -1.120423e-04  1.478645e-02 -6.857237e-03  2.848976e-08 -5.322647e-03 -3.998707e-02
   1.634123e-02  1.466218e-02 -1.283515e-03 -3.774435e-03 -3.914688e-03  1.400498e-02 -5.281819e-08 -2.087601e-03 -6.561475e-03
   9.088623e-03 -1.997331e-02 -9.326887e-04 -6.749110e-03 -4.551642e-03 -4.186062e-03 -3.094762e-07 -1.464372e-03  2.561665e-04
   1.318021e-02 -1.498896e-02  4.242333e-03 -2.853654e-03 -2.962935e-03 -9.735579e-03  1.449008e-07 -5.080927e-04  8.505612e-04
   1.967872e-02  2.625976e-02 -2.750127e-03 -3.754680e-03 -3.317629e-03  9.093829e-03 -1.754773e-07 -3.021812e-03 -3.559090e-03
   2.370399e-02  8.333618e-03 -2.511612e-03 -4.415446e-03 -1.072347e-03 -2.937465e-03  1.972257e-07  5.421559e-04  3.689289e-03
   7.343128e-03 -2.038320e-02 -1.249108e-02  9.901860e-04 -7.220164e-03  1.356869e-02  1.778082e-07  3.222980e-03  1.765738e-04
  -4.555409e-03 -1.494893e-02  2.142191e-02  5.316836e-03  2.298213e-03  3.341588e-03 -1.598632e-07  1.395378e-03  3.289055e-04
  -6.368698e-03 -3.243567e-02 -8.097343e-04  7.310362e-03  6.272350e-04  2.369763e-03 -1.884240e-07 -7.028718e-05 -2.673161e-04
  -5.076280e-02  6.052690e-03  2.774579e-02 -4.445044e-02 -7.547676e-03  4.874964e-03 -3.230764e-07  1.595124e-03  8.086626e-03
  -1.897615e-02  1.155343e-02  8.908050e-03 -1.775294e-02  1.503560e-03 -3.310928e-04  1.042113e-07  1.302789e-03  2.443110e-03
  -3.167683e-04 -2.010000e-02 -1.885237e-02  3.258242e-02  1.179640e-01  7.402706e-04  3.054670e-07 -4.484201e-03 -5.938960e-04
   2.577706e-02 -5.917947e-02  3.738811e-03  2.305157e-03  2.492053e-02 -9.506590e-03  4.456435e-07 -3.639564e-03 -4.855517e-03
   2.680069e+00  5.463135e-01 -2.656699e-03  4.332559e-03  1.649766e-03  4.555256e-03  1.841970e-06 -1.342508e-02  6.407576e-03
   5.463135e-01  1.969417e+00  3.693994e-03 -4.188628e-03  1.288243e-03 -3.307754e-03  1.873702e-06  1.868513e-02 -8.504867e-03
          [,28]         [,29]         [,30]         [,31]         [,32]         [,33]         [,34]         [,35]         [,36]
  -1.263250e-01 -7.996677e-02  2.530423e-04  6.124140e-04 -1.275150e-03 -1.959178e-07  1.953773e-01  5.995483e-05  2.280899e-02
   2.261791e-04  4.642363e-03 -1.013825e-01 -1.584530e-01 -1.160225e-01  2.358769e-05  3.753157e-02 -7.075276e-03 -7.528543e-03
   1.301993e-07  8.977175e-07  1.045859e-05  6.338163e-06  1.438819e-05  1.241435e-09 -4.262388e-06 -9.963782e-06 -8.894317e-06
   1.847959e-03  9.204182e-02 -2.526226e-03  2.875836e-03  1.835484e-04 -2.238711e-06  8.266402e-02  2.363500e-03 -3.859604e-02
  -1.337089e-02  6.507790e-03 -6.841887e-03  3.608688e-02  6.923440e-03 -4.420804e-06 -1.614844e-01 -5.727735e-03 -8.029076e-03
  -2.444118e-03  3.416411e-02 -2.010948e-03  1.208427e-03 -1.145445e-03  1.908107e-07 -1.680560e-02  7.297175e-04  1.924678e-02
  -4.206884e-03  6.866475e-03  6.966552e-03  3.793609e-03 -9.540864e-03 -1.015937e-07 -8.860311e-02 -1.541867e-03  3.530132e-02
  -9.580393e-04  3.711828e-03  7.620094e-03 -1.866004e-03  1.289917e-03 -8.491782e-07 -2.463891e-02  1.888553e-03  6.999128e-02
  -2.081835e-03  5.469956e-06  1.269488e-02 -4.159196e-03  7.816597e-03 -8.367402e-07 -1.114258e-02  8.445942e-03  5.162939e-02
   1.613883e-02  1.105574e-02 -4.032379e-03  1.361024e-03 -9.316422e-03 -2.602608e-07 -5.235535e-02  1.394496e-03  8.605761e-02
   1.109244e-02  2.883558e-03 -4.317053e-03  1.101202e-03 -9.682190e-03 -2.093248e-07 -3.015747e-02 -4.910763e-03  5.984869e-02
   1.227417e-02  6.866799e-03 -3.834111e-03 -5.202752e-03 -3.692659e-03  5.730457e-07  6.612542e-02 -2.482797e-03  7.921029e-02
  -5.742840e-04  5.913992e-04  1.437106e-02 -1.211369e-02 -1.760166e-03  5.428091e-07  1.119417e-02  1.675985e-03 -5.624328e-03
  -1.396707e-03  1.028446e-03  6.953081e-02 -1.246187e-02 -2.155721e-02  3.027822e-07  2.134728e-02 -7.839311e-03 -5.819460e-02
  -1.998400e-03  5.141048e-03  7.956088e-03  4.892404e-03  5.678452e-03 -3.448139e-07 -2.448429e-02 -4.112979e-04  1.870797e-02
  -1.376177e-03  4.583741e-03 -6.550190e-03  1.112214e-02  1.128514e-02  9.743711e-07 -7.196693e-03 -3.160015e-03 -2.781225e-03
   3.704986e-03 -1.391126e-03  8.205561e-03 -1.943136e-02 -5.214631e-02 -2.138946e-07  2.171930e-02  1.378033e-03 -1.351791e-02
  -5.357296e-03 -6.473169e-03 -5.196342e-03 -2.295351e-03  6.432208e-02  3.776308e-06 -1.616388e-03  3.562688e-03  2.670765e-02
  -6.826039e-03 -5.896514e-03 -1.703192e-03 -1.134549e-02 -2.478772e-03 -1.020461e-05 -1.879929e-02  1.140671e-04 -6.304516e-02
  -7.180984e-03  3.989493e-03 -5.323265e-03  1.157362e-02  8.058745e-03  3.395774e-06  1.665179e-01  2.077003e-03  3.159840e-02
          [,37]         [,38]         [,39]         [,40]         [,41]         [,42]         [,43]         [,44]         [,45]
  -4.272265e-04 -4.155172e-03  1.653732e-04  1.965131e-02 -1.309245e-04  1.265322e-01 -2.594725e-04  9.344222e-03  5.995483e-05
   1.418020e-02 -1.155041e-02 -4.389537e-03  1.105187e-02  1.476313e-02 -1.721772e-02  2.042498e-02 -6.294115e-02 -7.075276e-03
  -5.340303e-06 -7.805388e-06 -7.806820e-06 -6.513734e-06  6.845462e-07  3.947476e-06  2.056975e-05 -1.389851e-05 -9.963782e-06
   1.024397e-02 -2.670460e-02 -7.296909e-04 -9.232157e-02  5.941780e-03 -1.189529e-01  8.515368e-03  3.657558e-02  2.363500e-03
   1.075092e-02  1.407612e-02 -7.475066e-04 -1.501533e-01 -7.349735e-03 -1.725752e-01  1.893626e-02 -6.100256e-02 -5.727734e-03
  -3.945781e-04  1.591727e-02  6.201697e-04  2.565084e-02 -1.130547e-03 -3.175912e-02  7.639178e-04  2.599306e-02  7.297175e-04
  -4.536801e-03 -1.991998e-02  1.185553e-02 -2.643531e-02 -3.538170e-04 -6.305085e-02  1.746949e-02  4.627510e-02 -1.541867e-03
  -1.171064e-02  1.912553e-02  3.135192e-03  8.802389e-02  1.094246e-05  8.461815e-02  1.058087e-02 -9.647454e-02  1.888553e-03
  -3.252887e-02  7.645880e-03  1.524166e-02  4.548012e-02  7.494387e-03  8.183107e-03  2.303516e-02 -2.478484e-02  8.445942e-03
   1.019486e-02  5.813788e-02  7.352512e-03  9.696557e-02  5.305477e-03 -7.929185e-02 -4.493135e-03  3.281924e-02  1.394496e-03
  -7.267481e-03 -1.735051e-02 -2.893002e-03 -1.404965e-03  3.789408e-03  2.828376e-02  4.685361e-03 -1.138947e-01 -4.910763e-03
  -1.226137e-02  3.901408e-02 -6.216640e-03  1.665234e-02  5.084243e-03  9.447311e-02  8.474396e-03 -7.911264e-02 -2.482797e-03
  -5.122922e-03  1.578113e-02 -9.276386e-04  3.880450e-03  2.887007e-03 -9.818499e-02 -1.729670e-03  1.189591e-02  1.675985e-03
   1.870031e-02  2.428709e-03 -1.346659e-03 -5.757289e-03  2.278928e-03 -4.505120e-02  2.496276e-02  2.585004e-02 -7.839311e-03
  -4.550451e-03 -2.570744e-02 -3.424584e-03 -2.732593e-02 -2.648565e-03 -3.141781e-02  5.286505e-03 -4.661692e-02 -4.112979e-04
  -7.160673e-03 -8.224915e-03 -1.434172e-02 -1.055942e-02 -4.098546e-03 -2.273597e-02 -4.885194e-03  1.298883e-02 -3.160015e-03
   6.235978e-03  1.335881e-02  2.075488e-03 -5.303969e-02  2.429989e-03 -1.687492e-01 -6.799792e-03  4.122668e-03  1.378033e-03
  -8.215384e-03  4.718381e-02 -4.369661e-03  2.849005e-02  2.137723e-02 -6.417639e-02  9.310205e-03 -4.475814e-02  3.562688e-03
   7.544029e-03  3.548865e-02  3.689624e-03 -6.201875e-02  3.709091e-03 -3.489817e-02 -6.126415e-03 -3.737479e-02  1.140671e-04
   7.911166e-03  6.034355e-02 -7.690170e-03  7.771070e-02  2.366846e-03 -1.202477e-01  4.330371e-03 -3.953938e-02  2.077003e-03
          [,46]         [,47]         [,48]         [,49]         [,50]
  -4.914444e-03 -2.594725e-04  1.278104e-03  5.995483e-05 -4.336007e+00
   2.013379e-01  2.042498e-02 -4.380410e-03 -7.075276e-03 -2.047217e+00
   1.876833e-05  2.056975e-05  1.945420e-05 -9.963782e-06 -3.631346e-04
   9.029563e-02  8.515368e-03  8.574608e-03  2.363500e-03 -8.717194e+00
  -1.034852e-02  1.893626e-02  2.074553e-02 -5.727735e-03 -7.381927e+00
  -4.056290e-03  7.639178e-04  1.066637e-02  7.297175e-04 -4.687123e+00
   5.722873e-02  1.746949e-02 -6.484670e-02 -1.541867e-03 -5.533803e+00
   6.129312e-02  1.058087e-02 -3.814509e-02  1.888553e-03 -4.135312e+00
  -1.197445e-02  2.303516e-02  6.893726e-02  8.445942e-03 -3.749227e+00
   1.118575e-02 -4.493135e-03 -7.585417e-03  1.394496e-03 -1.057883e+01
   1.553264e-01  4.685360e-03  1.104681e-01 -4.910763e-03 -8.638479e+00
   1.529656e-01  8.474396e-03  2.318485e-02 -2.482797e-03 -8.896867e+00
   4.474710e-02 -1.729670e-03  2.223797e-02  1.675985e-03 -8.637201e-01
  -1.276667e-01  2.496276e-02  1.893723e-02 -7.839311e-03 -1.590439e+00
   4.920613e-02  5.286505e-03 -1.175569e-02 -4.112979e-04 -2.029002e+00
   7.802333e-03 -4.885194e-03 -4.737867e-03 -3.160015e-03 -1.467211e+00
  -6.475829e-02 -6.799792e-03  3.558557e-02  1.378033e-03 -2.700981e+00
   2.718669e-02  9.310204e-03 -2.690036e-02  3.562688e-03 -3.096723e+00
  -1.146883e-01 -6.126415e-03 -9.949136e-03  1.140671e-04 -6.921300e+00
  -1.808085e-02  4.330370e-03 -2.053762e-02  2.077003e-03 -5.661644e+00
 [ reached 'max' / getOption("max.print") -- omitted 30 rows ]

Model rank =  4158 / 4158 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                k'     edf k-index p-value    
s(measurement.no)                            10.00    9.67    1.02    0.88    
s(f0_10C)                                    10.00    5.09    0.99    0.33    
s(durationZ)                                 10.00    1.00    0.80  <2e-16 ***
ti(measurement.no,f0_10C)                   100.00   33.20    1.01    0.81    
ti(measurement.no,durationZ)                100.00   21.44    0.98    0.12    
ti(f0_10C,durationZ)                        100.00   16.77    0.92  <2e-16 ***
ti(measurement.no,durationZ,f0_10C)        1000.00   57.23    1.00    0.33    
ti(measurement.no,f0_10C):DiphVar.ordaj XA  100.00    5.91    1.01    0.85    
ti(measurement.no,f0_10C):DiphVar.ordaw SM  100.00    7.99    1.01    0.82    
ti(measurement.no,f0_10C):DiphVar.ordaw XA  100.00   12.60    1.01    0.83    
ti(measurement.no,f0_10C):sex.ordM          100.00   26.17    1.01    0.83    
s(measurement.no):DiphVar.ordaj XA           10.00    5.25    1.02    0.83    
s(measurement.no):DiphVar.ordaw SM           10.00    5.38    1.02    0.88    
s(measurement.no):DiphVar.ordaw XA           10.00    7.07    1.02    0.81    
s(measurement.no):type.ord2                  10.00    5.17    1.02    0.83    
s(measurement.no):order.ordX                 10.00    1.00    1.02    0.82    
s(measurement.no):sex.ordM                   10.00    6.70    1.02    0.86    
s(measurement.no):leftSegment.ordn           10.00    8.32    1.02    0.89    
s(measurement.no):leftSegment.ordp           10.00    7.73    1.02    0.82    
s(measurement.no):leftSegment.ordt           10.00    4.49    1.02    0.89    
s(f0_10C):DiphVar.ordaj XA                   10.00    2.29    0.99    0.32    
s(f0_10C):DiphVar.ordaw SM                   10.00    3.16    0.99    0.28    
s(f0_10C):DiphVar.ordaw XA                   10.00    3.72    0.99    0.29    
s(f0_10C):sex.ordM                           10.00    1.00    0.99    0.26    
s(measurement.no,speaker)                   264.00  190.04    1.02    0.85    
s(measurement.no,speaker):DiphVar.ordaj XA  264.00  112.14    1.02    0.83    
s(measurement.no,speaker):DiphVar.ordaw SM  264.00  109.94    1.02    0.91    
s(measurement.no,speaker):DiphVar.ordaw XA  264.00  102.58    1.02    0.86    
s(measurement.no,character)                 352.00  136.99    1.02    0.85    
s(f0_10C,speaker)                           264.00  118.51    0.99    0.28    
s(f0_10C,character)                         352.00  122.54    0.99    0.32    
s(durationZ,speaker)                        264.00  105.33    0.80  <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

1.13 TJ_F1_f0_Optimized_notZ

TJ_F1_f0_Optimized_notZ_AR1 <- readRDS("TJ_F1_f0_Optimized_notZ_AR1.rds")

summary(TJ_F1_f0_Optimized_notZ_AR1, re.test = FALSE)

Family: gaussian 
Link function: identity 

Formula:
f1C ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10C, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10C, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10C, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10C, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10C, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10C, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10C, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10C, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(f0_10C, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(f0_10C, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(durationZ, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1)

Parametric coefficients:
                  Estimate Std. Error t value Pr(>|t|)    
(Intercept)       0.329284   0.054113   6.085 1.18e-09 ***
DiphVar.ordaj TJ  0.042836   0.039657   1.080  0.28007    
DiphVar.ordaw SM -0.378358   0.045564  -8.304  < 2e-16 ***
DiphVar.ordaw TJ -0.367817   0.051556  -7.134 1.00e-12 ***
sex.ordM         -0.130409   0.050550  -2.580  0.00989 ** 
type.ord2         0.067472   0.008712   7.745 9.96e-15 ***
order.ordT       -0.036859   0.050321  -0.732  0.46389    
leftSegment.ordn  0.035864   0.040632   0.883  0.37743    
leftSegment.ordp -0.198689   0.036588  -5.430 5.68e-08 ***
leftSegment.ordt -0.092178   0.040565  -2.272  0.02307 *  
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

Approximate significance of smooth terms:
                                              edf  Ref.df       F  p-value    
s(measurement.no)                           9.606   9.669 139.728  < 2e-16 ***
s(f0_10C)                                   4.098   4.679   3.855  0.00242 ** 
s(durationZ)                                1.000   1.000  21.074 4.49e-06 ***
ti(measurement.no,f0_10C)                  26.751  36.908   1.833  0.00145 ** 
ti(measurement.no,durationZ)               16.281  20.907  16.525  < 2e-16 ***
ti(f0_10C,durationZ)                       17.376  24.959   1.254  0.17833    
ti(measurement.no,durationZ,f0_10C)        80.654 130.279   0.903  0.78163    
ti(measurement.no,f0_10C):DiphVar.ordaj TJ  1.002   1.003   3.274  0.07020 .  
ti(measurement.no,f0_10C):DiphVar.ordaw SM 20.517  29.883   0.937  0.57745    
ti(measurement.no,f0_10C):DiphVar.ordaw TJ  7.210   9.229   2.771  0.00279 ** 
ti(measurement.no,f0_10C):sex.ordM         28.766  39.415   2.097 6.89e-05 ***
s(measurement.no):DiphVar.ordaj TJ          1.000   1.000   2.008  0.15651    
s(measurement.no):DiphVar.ordaw SM          7.840   8.417  22.688  < 2e-16 ***
s(measurement.no):DiphVar.ordaw TJ          7.145   7.733  30.187  < 2e-16 ***
s(measurement.no):type.ord2                 7.998   9.250  54.569  < 2e-16 ***
s(measurement.no):order.ordT                2.097   2.160   2.294  0.10442    
s(measurement.no):sex.ordM                  3.838   3.981   4.562  0.00134 ** 
s(measurement.no):leftSegment.ordn          7.341   8.314   8.466  < 2e-16 ***
s(measurement.no):leftSegment.ordp          7.077   8.092   4.431 3.63e-05 ***
s(measurement.no):leftSegment.ordt          5.345   6.350   6.320 2.04e-07 ***
s(f0_10C):DiphVar.ordaj TJ                  1.000   1.001   1.017  0.31328    
s(f0_10C):DiphVar.ordaw SM                  1.001   1.001   2.511  0.11294    
s(f0_10C):DiphVar.ordaw TJ                  1.000   1.001   7.025  0.00804 ** 
s(f0_10C):sex.ordM                          1.004   1.005   1.508  0.22036    
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

R-sq.(adj) =  0.836   Deviance explained = 84.5%
fREML =  10607  Scale est. = 0.16123   n = 23230

gam.check(TJ_F1_f0_Optimized_notZ_AR1)

Method: fREML   Optimizer: perf chol
$grad
 [1] -1.799375e-06 -8.788033e-06 -7.610987e-05 -2.143489e-05  2.107488e-07 -8.471822e-09  4.322679e-06 -7.130305e-06
 [9] -1.202853e-05 -8.436562e-06 -4.892009e-07 -3.193967e-06 -3.229558e-04 -2.043522e-04 -1.882353e-05 -5.650663e-07
[17] -1.076267e-05 -2.515126e-06  1.093567e-05  6.309672e-07 -8.724588e-05 -3.983028e-06 -4.254237e-06 -1.169448e-06
[25]  5.763038e-07 -1.118952e-06  3.062220e-07 -4.383329e-07 -1.538159e-06 -7.791229e-05 -1.633617e-04 -1.744191e-04
[33] -7.022318e-05 -1.872361e-05  2.751755e-06  6.411685e-05 -1.977874e-05 -6.507509e-06 -5.238080e-06  3.345755e-06
[41]  2.964708e-06  3.936952e-05 -2.828242e-06 -2.160576e-05  2.751754e-06 -5.438317e-05 -2.828242e-06  1.819041e-05
[49]  2.751754e-06  4.500213e-04

$hess
           [,1]          [,2]          [,3]          [,4]          [,5]          [,6]          [,7]          [,8]          [,9]
   4.264255e+00  2.725679e-03  4.147663e-08 -1.915941e-02 -3.362473e-03 -4.374896e-03 -9.717607e-03  3.170161e-03  1.163946e-04
   2.725679e-03  1.296722e+00 -5.328038e-06 -7.251478e-03 -1.049592e-02  3.875036e-03  6.048048e-03 -2.366847e-02  9.831242e-03
   4.147663e-08 -5.328038e-06  7.610193e-05  3.233703e-07 -3.953368e-07  2.715682e-07 -1.647296e-06  3.337887e-06  1.358272e-05
  -1.915941e-02 -7.251478e-03  3.233703e-07  3.758354e+00  5.921628e-01  5.127485e-02 -2.524768e-02  1.398583e-03 -2.453738e-03
  -3.362473e-03 -1.049592e-02 -3.953368e-07  5.921628e-01  1.222713e+00 -1.370964e-02 -1.318567e-03 -4.494969e-02 -1.711009e-03
  -4.374896e-03  3.875036e-03  2.715682e-07  5.127485e-02 -1.370964e-02  2.795515e+00  9.214551e-01  5.057446e-03  1.925667e-04
  -9.717607e-03  6.048048e-03 -1.647296e-06 -2.524768e-02 -1.318567e-03  9.214551e-01  7.547677e-01  7.355801e-02  9.464170e-02
   3.170161e-03 -2.366847e-02  3.337887e-06  1.398583e-03 -4.494969e-02  5.057446e-03  7.355801e-02  6.963170e-01  3.691817e-01
   1.163946e-04  9.831242e-03  1.358272e-05 -2.453738e-03 -1.711009e-03  1.925667e-04  9.464170e-02  3.691817e-01  1.168245e+00
  -1.667701e-02 -7.705540e-03  1.259732e-07  3.257607e-01  1.022106e-01 -4.195574e-02  1.554007e-01  1.064516e-01  1.184358e-02
  -4.220412e-03 -1.588008e-02  3.041230e-06 -4.980704e-03  9.494532e-03 -2.824462e-02  2.868559e-01  2.864602e-02 -3.364941e-02
  -8.278924e-03  2.775594e-02  8.184508e-07 -4.301003e-03  3.037746e-02 -1.668335e-02  9.386357e-03  1.410717e-02  4.735306e-03
   9.560579e-07 -9.053797e-07  9.349613e-11  8.897862e-06 -1.833292e-06 -1.020372e-06  5.449314e-07  7.838797e-07 -9.450292e-07
   7.398346e-07 -8.556957e-07 -2.599910e-12  2.009565e-05 -3.241575e-06  1.027813e-07 -1.515200e-06 -5.266053e-07 -8.256430e-08
   4.734205e-04 -1.078466e-04  5.410052e-08  2.308657e-01 -2.525167e-02  2.405145e-02  1.384976e-02  2.466968e-03  4.832896e-03
   9.724712e-04 -1.190873e-02  3.712153e-07  1.784612e-02  5.337484e-02  2.190499e-03 -6.527883e-04 -6.543717e-03 -4.752828e-03
   9.832531e-04 -2.631823e-03 -1.800794e-07  1.817422e-02 -3.479311e-02  7.132991e-03 -2.405141e-03 -2.704817e-03  4.794424e-03
  -1.957203e-03  1.614357e-03 -3.512999e-08  3.795330e-02  4.342728e-04  1.767235e-03  6.055697e-04 -9.106478e-04  3.110469e-04
   7.606094e-03  6.555303e-03  1.352693e-07 -9.507387e-01 -9.356435e-02 -1.848590e-02 -3.700833e-02 -2.467503e-02 -1.667382e-03
   3.437556e-03 -8.786474e-03 -5.646500e-07 -4.929447e-02 -4.248249e-01  3.213251e-03 -6.549160e-03  7.429763e-03  1.104653e-02
          [,10]         [,11]         [,12]         [,13]         [,14]         [,15]         [,16]         [,17]         [,18]
  -1.667701e-02 -4.220412e-03 -8.278924e-03  9.560579e-07  7.398346e-07  4.734205e-04  9.724712e-04  9.832531e-04 -1.957203e-03
  -7.705540e-03 -1.588008e-02  2.775594e-02 -9.053797e-07 -8.556957e-07 -1.078466e-04 -1.190873e-02 -2.631823e-03  1.614357e-03
   1.259732e-07  3.041230e-06  8.184508e-07  9.349613e-11 -2.599910e-12  5.410052e-08  3.712153e-07 -1.800794e-07 -3.512999e-08
   3.257607e-01 -4.980704e-03 -4.301003e-03  8.897862e-06  2.009565e-05  2.308657e-01  1.784612e-02  1.817422e-02  3.795330e-02
   1.022106e-01  9.494532e-03  3.037746e-02 -1.833292e-06 -3.241575e-06 -2.525167e-02  5.337484e-02 -3.479311e-02  4.342728e-04
  -4.195574e-02 -2.824462e-02 -1.668335e-02 -1.020372e-06  1.027813e-07  2.405145e-02  2.190499e-03  7.132991e-03  1.767235e-03
   1.554007e-01  2.868559e-01  9.386357e-03  5.449314e-07 -1.515200e-06  1.384976e-02 -6.527883e-04 -2.405141e-03  6.055697e-04
   1.064516e-01  2.864602e-02  1.410717e-02  7.838797e-07 -5.266053e-07  2.466968e-03 -6.543717e-03 -2.704817e-03 -9.106478e-04
   1.184358e-02 -3.364941e-02  4.735306e-03 -9.450292e-07 -8.256430e-08  4.832896e-03 -4.752828e-03  4.794424e-03  3.110469e-04
   3.329839e+00  1.068888e+00  3.633161e-01  3.738471e-06  2.169403e-06  4.205388e-02  7.164425e-02  2.394731e-02  3.077918e-03
   1.068888e+00  2.357450e+00  9.651403e-01 -3.549871e-08  2.384564e-06 -1.357090e-02 -1.065940e-02  1.688353e-02  4.018334e-03
   3.633161e-01  9.651403e-01  1.711577e+00  7.216664e-08  4.414005e-06 -9.648244e-03 -4.942889e-02 -1.190147e-02 -8.928264e-04
   3.738471e-06 -3.549871e-08  7.216664e-08  2.209820e-04  1.019275e-04  1.260317e-05 -1.721689e-06  7.225167e-06  1.591063e-06
   2.169403e-06  2.384564e-06  4.414005e-06  1.019275e-04  1.024013e-04  6.311567e-06  1.495538e-06  5.522435e-06  4.309006e-07
   4.205388e-02 -1.357090e-02 -9.648244e-03  1.260317e-05  6.311567e-06  1.260834e+00  1.046725e-01 -1.530497e-01 -3.388825e-02
   7.164425e-02 -1.065940e-02 -4.942889e-02 -1.721689e-06  1.495538e-06  1.046725e-01  8.879337e-01 -2.830840e-02 -6.181519e-03
   2.394731e-02  1.688353e-02 -1.190147e-02  7.225167e-06  5.522435e-06 -1.530497e-01 -2.830840e-02  1.188160e+00  1.084456e-01
   3.077918e-03  4.018334e-03 -8.928264e-04  1.591063e-06  4.309006e-07 -3.388825e-02 -6.181519e-03  1.084456e-01  1.671963e-01
  -2.239879e-02  1.731794e-02  4.517813e-02 -7.812650e-06 -1.411758e-06 -1.393073e-01 -7.742173e-02  4.820290e-02 -1.508860e-04
  -4.666849e-02  3.727068e-02 -2.984003e-03  2.347939e-06  4.007787e-07 -5.977116e-02 -6.708754e-02 -1.910907e-02 -3.477586e-03
          [,19]         [,20]         [,21]         [,22]         [,23]         [,24]         [,25]         [,26]         [,27]
   7.606094e-03  3.437556e-03  6.557344e-08 -1.621782e-02 -3.278239e-02 -5.640903e-03 -3.358884e-02 -1.495314e-01  7.008376e-02
   6.555303e-03 -8.786474e-03 -6.090238e-08 -1.451803e-03  2.488494e-03  4.064420e-03  7.948713e-04 -3.289711e-03  1.098518e-03
   1.352693e-07 -5.646500e-07 -5.902035e-12  5.923106e-08  3.613384e-08  2.817879e-07 -3.455222e-08 -7.013029e-08  4.072534e-08
  -9.507387e-01 -4.929447e-02  8.463361e-07 -2.284507e-02 -6.211195e-03  3.448525e-02 -4.200916e-03 -7.969721e-03  1.739051e-02
  -9.356435e-02 -4.248249e-01  5.261061e-07  7.345587e-03 -6.777995e-03  6.816355e-03 -7.957775e-04 -2.057715e-03 -8.511336e-04
  -1.848590e-02  3.213251e-03  7.145206e-08  4.060281e-03 -3.652098e-04 -2.456408e-02 -3.214598e-04  2.980358e-03 -3.415592e-02
  -3.700833e-02 -6.549160e-03  4.290190e-08  6.430668e-03 -5.235163e-03  7.427338e-03 -3.988148e-04 -4.780342e-03 -9.293002e-03
  -2.467503e-02  7.429763e-03  2.148217e-08 -5.578893e-03 -3.610848e-03  1.745175e-03  6.519198e-04  2.654388e-03  2.578158e-03
  -1.667382e-03  1.104653e-02 -1.583623e-07 -8.043087e-04 -1.112582e-03 -1.432764e-03 -7.847993e-05 -1.281954e-03  1.971560e-04
  -2.239879e-02 -4.666849e-02  1.438529e-06  2.345798e-02 -1.380417e-02  9.070236e-03  1.326448e-03 -2.662748e-02 -2.280396e-02
   1.731794e-02  3.727068e-02  1.398228e-07  2.865296e-03 -5.200363e-03  3.345706e-03 -3.096828e-03 -1.085721e-02 -9.442146e-03
   4.517813e-02 -2.984003e-03  4.465519e-07 -3.953623e-03 -5.098428e-03 -8.369118e-03 -2.629020e-04 -4.171859e-03 -1.091841e-02
  -7.812650e-06  2.347939e-06 -1.869196e-09  1.304169e-06  1.376574e-06  3.445126e-07 -1.438565e-07  1.016763e-06 -6.483832e-07
  -1.411758e-06  4.007787e-07 -2.851977e-09  3.258652e-07  6.981395e-07  4.801719e-07 -2.157923e-07  6.591201e-07 -1.146584e-08
  -1.393073e-01 -5.977116e-02 -1.425467e-07  4.304913e-03 -1.075049e-02  5.545119e-02  1.311437e-03  1.813505e-03  1.864690e-02
  -7.742173e-02 -6.708754e-02 -2.318521e-07 -3.822814e-02  1.126402e-03  9.143295e-03  5.296909e-05  6.077672e-03  1.537031e-03
   4.820290e-02 -1.910907e-02 -6.304601e-07  2.891321e-03 -1.130082e-01 -1.201521e-02  1.317332e-04  1.705182e-03  5.660974e-03
  -1.508860e-04 -3.477586e-03 -5.002015e-08 -9.012731e-03  2.971372e-02 -2.122956e-03 -2.823798e-05  6.621994e-04 -4.087701e-04
   4.421062e+00  4.370357e-01 -5.832297e-07  9.797410e-03  1.277431e-02 -3.832558e-03 -5.926249e-03  1.336281e-01 -4.804354e-03
   4.370357e-01  2.451889e+00  1.601819e-07 -1.611977e-03 -6.845623e-03  4.473081e-03 -3.779474e-04  2.895968e-02  8.639946e-04
          [,28]         [,29]         [,30]         [,31]         [,32]         [,33]         [,34]         [,35]         [,36]
  -1.122455e-01 -8.061725e-02  9.720679e-08 -2.941812e-07  7.768816e-08  3.147877e-08  1.868169e-01  2.657792e-05 -1.303685e-02
   1.125816e-03 -1.465950e-03  1.589250e-05  1.905724e-05 -3.646242e-06  8.787631e-04  3.160309e-02 -1.467267e-02  1.944610e-03
  -1.742623e-08 -1.230560e-07 -3.883467e-10 -2.122531e-10 -5.893201e-11  2.950323e-10  2.221184e-08  1.207240e-06 -2.543674e-06
   7.138786e-02  1.165027e-01 -2.039693e-06  9.519021e-07 -2.793575e-07 -1.099376e-05 -6.786124e-02 -6.259632e-03 -1.000951e-01
   8.622267e-03  1.340728e-02  3.954210e-06 -5.222919e-08  9.775123e-08  3.804651e-05  2.657274e-02  8.206605e-03 -2.063335e-01
  -1.068407e-02  4.954104e-02  8.854693e-07  7.035624e-08  6.764878e-08  6.894248e-06 -1.593315e-02  2.239801e-04 -7.908312e-02
  -1.657535e-02  1.768844e-02 -2.444262e-06  1.618822e-08 -6.453983e-07  1.566071e-05  2.895588e-02  1.817380e-03 -1.453295e-02
  -3.658542e-04 -5.332108e-03  3.116942e-06  2.552451e-07 -2.247542e-09 -3.105653e-05  8.955571e-02 -7.934724e-03 -1.958233e-02
   1.888581e-03 -1.710852e-03 -1.742416e-07  3.290779e-06 -7.902047e-08 -3.675380e-05  4.001375e-02  1.127481e-02  7.077937e-02
   1.854423e-02  1.852050e-02  1.070173e-06  1.149102e-06  2.374838e-07 -2.094396e-05 -5.991556e-04  2.610444e-03  6.280639e-03
   1.407251e-03 -5.377557e-03 -4.037290e-06 -1.416203e-06  4.264998e-07 -2.538269e-06 -7.257498e-02  8.379544e-03  1.879489e-04
   1.308735e-02  8.895954e-04 -8.247057e-07 -3.628750e-06 -1.722586e-07  4.969372e-05 -3.841511e-02  7.941562e-03  9.849394e-02
  -4.931536e-07  2.183379e-07 -3.003053e-10  8.108702e-11 -4.877708e-11 -5.247456e-09  1.183228e-05  2.766578e-07 -2.722320e-05
   1.795654e-06  9.467019e-07 -1.151015e-09 -2.341208e-10 -1.326571e-10 -4.276190e-09  1.353606e-05  1.044906e-06 -1.536545e-05
   4.231471e-03  1.541349e-02 -1.559832e-07 -7.378951e-06 -7.384661e-07 -7.791071e-06  1.896416e-02 -3.631610e-03 -2.991585e-02
  -5.054958e-03  4.690894e-03  1.727796e-06 -1.484135e-05 -8.658833e-07 -2.235410e-05  8.840099e-03 -7.161915e-03  2.418503e-02
   5.111687e-03 -2.985506e-04 -3.948290e-07  3.715036e-07  4.420099e-07  1.632210e-05  4.495856e-04 -1.512888e-03 -3.151153e-02
   1.584192e-03 -1.247833e-03  3.876511e-07 -3.058910e-07 -6.784210e-08  4.266797e-06  1.562423e-03 -3.267669e-04  7.571604e-04
  -1.517034e-02 -1.106499e-02 -1.803392e-07  1.975356e-08  3.020057e-08  8.001280e-05  3.410560e-01  4.417478e-03 -7.780178e-02
  -4.500359e-03  1.162118e-02 -3.387294e-06 -5.837235e-07  8.774969e-08  1.864000e-04  1.215888e-01  1.558868e-02 -5.390570e-02
          [,37]         [,38]         [,39]         [,40]         [,41]         [,42]         [,43]         [,44]         [,45]
  -4.101118e-04  1.726346e-02 -2.946313e-06  3.470797e-03  2.804096e-04  8.241873e-02  1.442355e-03  6.273688e-03  2.657792e-05
   1.225097e-03 -1.032167e-02  1.076528e-03  1.369236e-02  1.911304e-02  2.035249e-03  1.186248e-02  3.309510e-02 -1.467266e-02
  -4.230993e-08  1.272453e-06  2.716569e-08 -1.196254e-06  2.172374e-06  2.977122e-06  1.976006e-06  8.627499e-06  1.207240e-06
   2.190530e-02 -3.273999e-02 -5.984215e-03  1.011470e-01  2.908940e-03  4.100886e-01  6.515822e-03  6.630364e-02 -6.259632e-03
  -2.083388e-03 -2.805773e-02  1.245825e-03  8.407423e-02  1.192984e-02  2.279781e-02 -2.517133e-02  9.927016e-02  8.206605e-03
   1.946196e-03  9.593131e-03  2.310550e-04  2.540737e-02  2.648207e-03  7.425414e-02 -1.671885e-03  2.618649e-02  2.239801e-04
  -2.501825e-03  2.182730e-02 -5.644599e-03  4.550860e-02 -4.679213e-03 -2.110231e-02 -1.476509e-03  6.054980e-02  1.817380e-03
  -3.045426e-03 -5.810198e-02  7.713235e-03  4.054143e-02 -4.871521e-03  5.798236e-02  1.195756e-03  4.169286e-02 -7.934723e-03
   6.475067e-02  1.358704e-02 -1.648115e-03 -1.635459e-02  5.510008e-02  2.101162e-02  9.025808e-03  4.299723e-02  1.127481e-02
  -1.373236e-02 -1.048497e-01  2.918076e-03  1.818426e-01 -7.219070e-03  1.002755e-01  7.573629e-04  4.441870e-02  2.610444e-03
   2.813990e-03 -4.070086e-02  3.319244e-03  1.438390e-01 -6.327495e-03  3.832701e-02  4.574144e-02  1.084775e-01  8.379544e-03
  -3.779832e-02 -2.129655e-02 -1.288239e-02  9.060837e-03 -2.087746e-02  1.370601e-02 -1.077814e-02  1.661378e-01  7.941562e-03
  -1.726014e-06 -6.436128e-07  8.287526e-07 -2.162848e-06  4.887066e-08 -2.473187e-05  1.466064e-06  4.750259e-06  2.766578e-07
   4.043553e-07  5.125412e-06  5.880423e-08  7.252146e-06  2.115384e-06  6.120278e-06  2.102636e-06  5.920530e-06  1.044906e-06
  -3.795639e-03 -2.181338e-02 -1.024830e-02  2.205517e-02  4.924204e-05  8.147954e-02  7.934104e-04  4.737465e-03 -3.631610e-03
   9.821447e-03  2.974039e-01 -2.708673e-02 -3.714864e-03  1.184369e-02 -4.281253e-02 -1.288606e-02  1.737472e-02 -7.161915e-03
  -1.688871e-03 -2.901614e-03  2.482340e-06  3.442544e-02  3.029556e-03  1.040336e-01  7.561151e-04  8.862868e-03 -1.512888e-03
  -2.448712e-04  2.523986e-03 -4.199540e-04 -2.345595e-02 -2.252532e-04  4.639372e-02  3.481222e-04  1.460855e-02 -3.267669e-04
   3.085775e-03  2.712648e-02 -4.053714e-03  2.294413e-02  1.068248e-02 -1.284687e-01 -8.001492e-03  6.790703e-02  4.417478e-03
   2.973971e-02  9.001169e-03  1.342064e-02  8.600179e-02  2.289704e-02 -3.394346e-02 -1.189106e-02  1.263654e-01  1.558868e-02
          [,46]         [,47]         [,48]         [,49]         [,50]
   1.558760e-04  1.442355e-03  1.057802e-03  2.657792e-05 -4.303230e+00
   4.907638e-02  1.186248e-02  1.348386e-02 -1.467266e-02 -1.549163e+00
   4.767719e-06  1.976006e-06 -1.949517e-05  1.207240e-06 -6.430449e-05
  -2.110835e-02  6.515822e-03  5.393853e-02 -6.259632e-03 -7.181591e+00
  -7.182618e-02 -2.517133e-02  1.271017e-03  8.206605e-03 -5.693779e+00
   1.212267e-02 -1.671885e-03  1.317823e-02  2.239801e-04 -3.866132e+00
   2.893217e-02 -1.476509e-03 -3.124566e-02  1.817380e-03 -3.774123e+00
  -3.130740e-02  1.195756e-03 -9.954275e-02 -7.934723e-03 -4.037305e+00
   1.144484e-03  9.025808e-03  1.580610e-01  1.127481e-02 -4.150620e+00
  -5.369743e-02  7.573629e-04  4.578121e-02  2.610444e-03 -1.646772e+01
   9.689736e-02  4.574144e-02 -1.417795e-01  8.379544e-03 -1.450241e+01
  -3.149142e-02 -1.077814e-02 -4.367522e-02  7.941562e-03 -8.856840e+00
   4.305573e-06  1.466064e-06  2.694200e-06  2.766578e-07 -1.253014e-04
   7.951212e-08  2.102636e-06  3.053295e-06  1.044906e-06 -1.806822e-04
  -1.120164e-02  7.934104e-04  9.057659e-03 -3.631610e-03 -5.159851e+00
  -3.968668e-02 -1.288606e-02 -1.665475e-02 -7.161915e-03 -4.598672e+00
   9.549913e-04  7.561151e-04 -1.373688e-02 -1.512888e-03 -2.453976e+00
   3.337119e-03  3.481222e-04 -5.630124e-03 -3.267669e-04 -6.512167e-01
   8.646893e-03 -8.001492e-03  8.617250e-03  4.417478e-03 -7.724958e+00
  -2.170285e-02 -1.189106e-02  8.843942e-02  1.558868e-02 -6.158253e+00
 [ reached 'max' / getOption("max.print") -- omitted 30 rows ]

Model rank =  4114 / 4114 

Basis dimension (k) checking results. Low p-value (k-index<1) may
indicate that k is too low, especially if edf is close to k'.

                                                k'     edf k-index p-value    
s(measurement.no)                            10.00    9.61    1.01   0.690    
s(f0_10C)                                    10.00    4.10    1.00   0.410    
s(durationZ)                                 10.00    1.00    0.87  <2e-16 ***
ti(measurement.no,f0_10C)                   100.00   26.75    1.01   0.645    
ti(measurement.no,durationZ)                100.00   16.28    1.01   0.785    
ti(f0_10C,durationZ)                        100.00   17.38    0.98   0.055 .  
ti(measurement.no,durationZ,f0_10C)        1000.00   80.65    1.01   0.720    
ti(measurement.no,f0_10C):DiphVar.ordaj TJ  100.00    1.00    1.01   0.635    
ti(measurement.no,f0_10C):DiphVar.ordaw SM  100.00   20.52    1.01   0.620    
ti(measurement.no,f0_10C):DiphVar.ordaw TJ  100.00    7.21    1.01   0.595    
ti(measurement.no,f0_10C):sex.ordM          100.00   28.77    1.01   0.680    
s(measurement.no):DiphVar.ordaj TJ           10.00    1.00    1.01   0.700    
s(measurement.no):DiphVar.ordaw SM           10.00    7.84    1.01   0.710    
s(measurement.no):DiphVar.ordaw TJ           10.00    7.15    1.01   0.735    
s(measurement.no):type.ord2                  10.00    8.00    1.01   0.725    
s(measurement.no):order.ordT                 10.00    2.10    1.01   0.775    
s(measurement.no):sex.ordM                   10.00    3.84    1.01   0.730    
s(measurement.no):leftSegment.ordn           10.00    7.34    1.01   0.720    
s(measurement.no):leftSegment.ordp           10.00    7.08    1.01   0.765    
s(measurement.no):leftSegment.ordt           10.00    5.34    1.01   0.725    
s(f0_10C):DiphVar.ordaj TJ                   10.00    1.00    1.00   0.485    
s(f0_10C):DiphVar.ordaw SM                   10.00    1.00    1.00   0.480    
s(f0_10C):DiphVar.ordaw TJ                   10.00    1.00    1.00   0.490    
s(f0_10C):sex.ordM                           10.00    1.00    1.00   0.465    
s(measurement.no,speaker)                   264.00  196.06    1.01   0.720    
s(measurement.no,speaker):DiphVar.ordaj TJ  264.00  110.16    1.01   0.775    
s(measurement.no,speaker):DiphVar.ordaw SM  264.00  144.62    1.01   0.690    
s(measurement.no,speaker):DiphVar.ordaw TJ  264.00  157.83    1.01   0.725    
s(measurement.no,character)                 330.00   92.63    1.01   0.700    
s(f0_10C,speaker)                           264.00  110.15    1.00   0.440    
s(f0_10C,character)                         330.00   63.57    1.00   0.530    
s(durationZ,speaker)                        264.00  100.28    0.87  <2e-16 ***
---
Signif. codes:  0 ‘***’ 0.001 ‘**’ 0.01 ‘*’ 0.05 ‘.’ 0.1 ‘ ’ 1

2 Model comparisons

2.1 XA model F1

2.1.1 Random effects

XA_F1_2Diph_NoAsp_Overall_baseline_1.noAR <- readRDS("XA_F1_2Diph_NoAsp_Overall_baseline_1_noAR.rds")
XA_F1_2Diph_NoAsp_Overall_baseline_2.noAR <- readRDS("XA_F1_2Diph_NoAsp_Overall_baseline_2_noAR.rds")
XA_F1_2Diph_NoAsp_Overall_baseline.noAR <- readRDS("XA_F1_2Diph_NoAsp_Overall_baseline_noAR.rds")

XA_F1_2Diph_NoAsp_Overall_baseline_1.noAR: no random effects

XA_F1_2Diph_NoAsp_Overall_baseline_2.noAR: + speaker random factor smooths

compareML(XA_F1_2Diph_NoAsp_Overall_baseline_1.noAR,XA_F1_2Diph_NoAsp_Overall_baseline_2.noAR)

XA_F1_2Diph_NoAsp_Overall_baseline_1.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1)

XA_F1_2Diph_NoAsp_Overall_baseline_2.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord)

Chi-square test of fREML scores
-----
                                      Model    Score Edf Difference     Df  p.value Sig.
1 XA_F1_2Diph_NoAsp_Overall_baseline_1.noAR 26651.71  22                                
2 XA_F1_2Diph_NoAsp_Overall_baseline_2.noAR 22053.64  54   4598.063 32.000  < 2e-16  ***

AIC difference: 10816.72, model XA_F1_2Diph_NoAsp_Overall_baseline_2.noAR has lower AIC.

XA_F1_2Diph_NoAsp_Overall_baseline.noAR: + character random factor smooths

compareML(XA_F1_2Diph_NoAsp_Overall_baseline_2.noAR,XA_F1_2Diph_NoAsp_Overall_baseline.noAR)

XA_F1_2Diph_NoAsp_Overall_baseline_2.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord)

XA_F1_2Diph_NoAsp_Overall_baseline.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord) + s(measurement.no, character, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    character, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = sex.ord) + s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1, by = order.ord) + s(measurement.no, character, 
    bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, by = type.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1, by = variety.ord)

Chi-square test of fREML scores
-----
                                      Model    Score Edf Difference     Df  p.value Sig.
1 XA_F1_2Diph_NoAsp_Overall_baseline_2.noAR 22053.64  54                                
2   XA_F1_2Diph_NoAsp_Overall_baseline.noAR 21384.48  64    669.162 10.000  < 2e-16  ***

AIC difference: 1703.98, model XA_F1_2Diph_NoAsp_Overall_baseline.noAR has lower AIC.

2.1.2 Fixed effects

XA_F1_2Diph_fixed_0.noAR <- readRDS("XA_F1_2Diph_fixed_0_noAR.rds")
XA_F1_2Diph_fixed_1.noAR <- readRDS("XA_F1_2Diph_fixed_1_noAR.rds")
XA_F1_2Diph_fixed_2.noAR <- readRDS("XA_F1_2Diph_fixed_2_noAR.rds")

XA_F1_2Diph_fixed_0.noAR: baseline

XA_F1_2Diph_fixed_1.noAR: + covariates

compareML(XA_F1_2Diph_fixed_0.noAR,XA_F1_2Diph_fixed_1.noAR)

XA_F1_2Diph_fixed_0.noAR: f1Z ~ ToneVarDiphInt.ord + s(measurement.no, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", 
    k = 11, m = 1)

XA_F1_2Diph_fixed_1.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1)

Chi-square test of ML scores
-----
                     Model    Score Edf Difference    Df  p.value Sig.
1 XA_F1_2Diph_fixed_0.noAR 27995.04  48                               
2 XA_F1_2Diph_fixed_1.noAR 27336.01  54    659.034 6.000  < 2e-16  ***

AIC difference: 1308.50, model XA_F1_2Diph_fixed_1.noAR has lower AIC.

XA_F1_2Diph_fixed_2.noAR: + by factor smooths

compareML(XA_F1_2Diph_fixed_1.noAR,XA_F1_2Diph_fixed_2.noAR)

XA_F1_2Diph_fixed_1.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1)

XA_F1_2Diph_fixed_2.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1)

Chi-square test of ML scores
-----
                     Model    Score Edf Difference     Df  p.value Sig.
1 XA_F1_2Diph_fixed_1.noAR 27336.01  54                                
2 XA_F1_2Diph_fixed_2.noAR 26513.07  66    822.937 12.000  < 2e-16  ***

AIC difference: 1686.42, model XA_F1_2Diph_fixed_2.noAR has lower AIC.

2.2 XA mechanistic model

2.2.1 Random effects

XA_F1_f0_Optimized_3.noAR <- readRDS("XA_F1_f0_Optimized_3_noAR.rds")
XA_F1_f0_Optimized_2.noAR <- readRDS("XA_F1_f0_Optimized_2_noAR.rds")
XA_F1_f0_Optimized_1.noAR <- readRDS("XA_F1_f0_Optimized_1_noAR.rds")
XA_F1_f0_Optimized.noAR <- readRDS("XA_F1_f0_Optimized_noAR.rds")

XA_F1_f0_Optimized_3.noAR: no random effect

XA_F1_f0_Optimized_2.noAR: + speaker factor smooths on time

compareML(XA_F1_f0_Optimized_3.noAR,XA_F1_f0_Optimized_2.noAR)

XA_F1_f0_Optimized_3.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1)

XA_F1_f0_Optimized_2.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord)

Chi-square test of fREML scores
-----
                      Model    Score Edf Difference    Df  p.value Sig.
1 XA_F1_f0_Optimized_3.noAR 20606.83  33                               
2 XA_F1_f0_Optimized_2.noAR 18324.03  41   2282.800 8.000  < 2e-16  ***

AIC difference: 5244.46, model XA_F1_f0_Optimized_2.noAR has lower AIC.

XA_F1_f0_Optimized_1.noAR: + speaker factor smooths on f0 and duration

compareML(XA_F1_f0_Optimized_2.noAR,XA_F1_f0_Optimized_1.noAR)

XA_F1_f0_Optimized_2.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord)

XA_F1_f0_Optimized_1.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord) + 
    s(f0_10Z, speaker, bs = "fs", xt = list(bs = "tp"), k = 11, 
        m = 1) + s(durationZ, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1)

Chi-square test of fREML scores
-----
                      Model    Score Edf Difference    Df  p.value Sig.
1 XA_F1_f0_Optimized_2.noAR 18324.03  41                               
2 XA_F1_f0_Optimized_1.noAR 17419.34  45    904.691 4.000  < 2e-16  ***

AIC difference: 2298.43, model XA_F1_f0_Optimized_1.noAR has lower AIC.

XA_F1_f0_Optimized.noAR: + character factor smooths

compareML(XA_F1_f0_Optimized_1.noAR,XA_F1_f0_Optimized.noAR)

XA_F1_f0_Optimized_1.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord) + 
    s(f0_10Z, speaker, bs = "fs", xt = list(bs = "tp"), k = 11, 
        m = 1) + s(durationZ, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1)

XA_F1_f0_Optimized.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(f0_10Z, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(f0_10Z, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(durationZ, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1)

Chi-square test of fREML scores
-----
                      Model    Score Edf Difference    Df  p.value Sig.
1 XA_F1_f0_Optimized_1.noAR 17419.34  45                               
2   XA_F1_f0_Optimized.noAR 16726.62  49    692.717 4.000  < 2e-16  ***

AIC difference: 1677.44, model XA_F1_f0_Optimized.noAR has lower AIC.

2.2.2 Fixed effects

XA_F1_f0_mechanism_0.noAR <- readRDS("XA_F1_f0_mechanism_0_noAR.rds")
XA_F1_f0_mechanism_1.noAR <- readRDS("model4_A_noAR.rds")
XA_F1_f0_mechanism_2.noAR <- readRDS("XA_F1_f0_mechanism_2_noAR.rds")
XA_F1_f0_mechanism_3.noAR <- readRDS("XA_F1_f0_mechanism_3_noAR.rds")
XA_F1_f0_mechanism_4.noAR <- readRDS("XA_F1_f0_mechanism_4_noAR.rds")
XA_F1_f0_mechanism_5.noAR <- readRDS("XA_F1_f0_mechanism_5_noAR.rds")

XA_F1_f0_mechanism_5.noAR: baseline

XA_F1_f0_mechanism_4.noAR: + covariates

compareML(XA_F1_f0_mechanism_5.noAR,XA_F1_f0_mechanism_4.noAR)

XA_F1_f0_mechanism_5.noAR: f1Z ~ DiphVar.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(f0_10Z, bs = "cr", k = 11, m = 1) + s(durationZ, bs = "cr", 
    k = 11, m = 1)

XA_F1_f0_mechanism_4.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1)

Chi-square test of ML scores
-----
                      Model    Score Edf Difference    Df  p.value Sig.
1 XA_F1_f0_mechanism_5.noAR 22959.39  10                               
2 XA_F1_f0_mechanism_4.noAR 22257.63  16    701.767 6.000  < 2e-16  ***

AIC difference: 1393.39, model XA_F1_f0_mechanism_4.noAR has lower AIC.

XA_F1_f0_mechanism_3.noAR: + ti

compareML(XA_F1_f0_mechanism_4.noAR,XA_F1_f0_mechanism_3.noAR)

XA_F1_f0_mechanism_4.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1)

XA_F1_f0_mechanism_3.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11))

Chi-square test of ML scores
-----
                      Model    Score Edf Difference     Df  p.value Sig.
1 XA_F1_f0_mechanism_4.noAR 22257.63  16                                
2 XA_F1_f0_mechanism_3.noAR 21648.48  29    609.151 13.000  < 2e-16  ***

AIC difference: 1372.30, model XA_F1_f0_mechanism_3.noAR has lower AIC.

XA_F1_f0_mechanism_2.noAR: + by factors ti

compareML(XA_F1_f0_mechanism_3.noAR,XA_F1_f0_mechanism_2.noAR)

XA_F1_f0_mechanism_3.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11))

XA_F1_f0_mechanism_2.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11))

Chi-square test of ML scores
-----
                      Model    Score Edf Difference    Df  p.value Sig.
1 XA_F1_f0_mechanism_3.noAR 21648.48  29                               
2 XA_F1_f0_mechanism_2.noAR 21599.32  32     49.155 3.000  < 2e-16  ***

AIC difference: 133.94, model XA_F1_f0_mechanism_2.noAR has lower AIC.

XA_F1_f0_mechanism_1.noAR: + smooth of time by factors

compareML(XA_F1_f0_mechanism_2.noAR,XA_F1_f0_mechanism_1.noAR)

XA_F1_f0_mechanism_2.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11))

XA_F1_f0_mechanism_1.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, 
    m = 1)

Chi-square test of ML scores
-----
                      Model    Score Edf Difference     Df  p.value Sig.
1 XA_F1_f0_mechanism_2.noAR 21599.32  32                                
2 XA_F1_f0_mechanism_1.noAR 20683.59  52    915.726 20.000  < 2e-16  ***

AIC difference: 1880.47, model XA_F1_f0_mechanism_1.noAR has lower AIC.

XA_F1_f0_mechanism.noAR: + smooths of f0 and ti by DiphVar

compareML(XA_F1_f0_mechanism_1.noAR,XA_F1_f0_mechanism_0.noAR)

XA_F1_f0_mechanism_1.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, 
    m = 1)

XA_F1_f0_mechanism_0.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1)

Chi-square test of ML scores
-----
                      Model    Score Edf Difference     Df  p.value Sig.
1 XA_F1_f0_mechanism_1.noAR 20683.59  52                                
2 XA_F1_f0_mechanism_0.noAR 20562.80  67    120.792 15.000  < 2e-16  ***

AIC difference: 245.61, model XA_F1_f0_mechanism_0.noAR has lower AIC.

2.3 TJ model F1

2.3.1 Random effects

TJ_F1_2Diph_NoAsp_Overall_baseline_1.noAR <- readRDS("TJ_F1_2Diph_NoAsp_Overall_baseline_1_noAR.rds")
TJ_F1_2Diph_NoAsp_Overall_baseline_2.noAR <- readRDS("TJ_F1_2Diph_NoAsp_Overall_baseline_2_noAR.rds")
TJ_F1_2Diph_NoAsp_Overall_baseline.noAR <- readRDS("TJ_F1_2Diph_NoAsp_Overall_baseline_noAR.rds")

TJ_F1_2Diph_NoAsp_Overall_baseline_1.noAR: no random effects

TJ_F1_2Diph_NoAsp_Overall_baseline_2.noAR: + speaker random factor smooths

compareML(TJ_F1_2Diph_NoAsp_Overall_baseline_1.noAR,TJ_F1_2Diph_NoAsp_Overall_baseline_2.noAR)

TJ_F1_2Diph_NoAsp_Overall_baseline_1.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1)

TJ_F1_2Diph_NoAsp_Overall_baseline_2.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord)

Chi-square test of fREML scores
-----
                                      Model    Score Edf Difference     Df  p.value Sig.
1 TJ_F1_2Diph_NoAsp_Overall_baseline_1.noAR 23643.35  22                                
2 TJ_F1_2Diph_NoAsp_Overall_baseline_2.noAR 19702.50  54   3940.849 32.000  < 2e-16  ***

AIC difference: 9538.26, model TJ_F1_2Diph_NoAsp_Overall_baseline_2.noAR has lower AIC.

TJ_F1_2Diph_NoAsp_Overall_baseline.noAR: + character random factor smooths

compareML(TJ_F1_2Diph_NoAsp_Overall_baseline_2.noAR,TJ_F1_2Diph_NoAsp_Overall_baseline.noAR)

TJ_F1_2Diph_NoAsp_Overall_baseline_2.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord)

TJ_F1_2Diph_NoAsp_Overall_baseline.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    speaker, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = ToneVarDiphInt.ord) + s(measurement.no, character, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1) + s(measurement.no, 
    character, bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, 
    by = sex.ord) + s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1, by = order.ord) + s(measurement.no, character, 
    bs = "fs", xt = list(bs = "tp"), k = 11, m = 1, by = type.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1, by = variety.ord)

Chi-square test of fREML scores
-----
                                      Model    Score Edf Difference     Df  p.value Sig.
1 TJ_F1_2Diph_NoAsp_Overall_baseline_2.noAR 19702.50  54                                
2   TJ_F1_2Diph_NoAsp_Overall_baseline.noAR 19309.46  64    393.044 10.000  < 2e-16  ***

AIC difference: 1032.89, model TJ_F1_2Diph_NoAsp_Overall_baseline.noAR has lower AIC.

2.3.2 Fixed effects

TJ_F1_2Diph_fixed_0.noAR <- readRDS("TJ_F1_2Diph_fixed_0_noAR.rds")
TJ_F1_2Diph_fixed_1.noAR <- readRDS("TJ_F1_2Diph_fixed_1_noAR.rds")
TJ_F1_2Diph_fixed_2.noAR <- readRDS("TJ_F1_2Diph_fixed_2_noAR.rds")

TJ_F1_2Diph_fixed_0.noAR: baseline

TJ_F1_2Diph_fixed_1.noAR: + covariates

compareML(TJ_F1_2Diph_fixed_0.noAR,TJ_F1_2Diph_fixed_1.noAR)

TJ_F1_2Diph_fixed_0.noAR: f1Z ~ ToneVarDiphInt.ord + s(measurement.no, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", 
    k = 11, m = 1)

TJ_F1_2Diph_fixed_1.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1)

Chi-square test of ML scores
-----
                     Model    Score Edf Difference    Df  p.value Sig.
1 TJ_F1_2Diph_fixed_0.noAR 24480.39  48                               
2 TJ_F1_2Diph_fixed_1.noAR 24026.43  54    453.960 6.000  < 2e-16  ***

AIC difference: 897.55, model TJ_F1_2Diph_fixed_1.noAR has lower AIC.

TJ_F1_2Diph_fixed_2.noAR: + by factor smooths

compareML(TJ_F1_2Diph_fixed_1.noAR,TJ_F1_2Diph_fixed_2.noAR)

TJ_F1_2Diph_fixed_1.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1)

TJ_F1_2Diph_fixed_2.noAR: f1Z ~ ToneVarDiphInt.ord + order.ord + sex.ord + leftSegment.ord + 
    type.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", k = 11, 
        m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(measurement.no, by = type.ord, 
    bs = "cr", k = 11, m = 1)

Chi-square test of ML scores
-----
                     Model    Score Edf Difference     Df  p.value Sig.
1 TJ_F1_2Diph_fixed_1.noAR 24026.43  54                                
2 TJ_F1_2Diph_fixed_2.noAR 23505.13  66    521.308 12.000  < 2e-16  ***

AIC difference: 1068.34, model TJ_F1_2Diph_fixed_2.noAR has lower AIC.

2.4 TJ mechanistic model

2.4.1 Random effects

TJ_F1_f0_Optimized_3.noAR <- readRDS("TJ_F1_f0_Optimized_3_noAR.rds")
TJ_F1_f0_Optimized_2.noAR <- readRDS("TJ_F1_f0_Optimized_2_noAR.rds")
TJ_F1_f0_Optimized_1.noAR <- readRDS("TJ_F1_f0_Optimized_1_noAR.rds")
TJ_F1_f0_Optimized.noAR <- readRDS("TJ_F1_f0_Optimized_noAR.rds")

TJ_F1_f0_Optimized_3.noAR: no random effect

TJ_F1_f0_Optimized_2.noAR: + speaker factor smooths on time

compareML(TJ_F1_f0_Optimized_3.noAR,TJ_F1_f0_Optimized_2.noAR)

TJ_F1_f0_Optimized_3.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1)

TJ_F1_f0_Optimized_2.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord)

Chi-square test of fREML scores
-----
                      Model    Score Edf Difference    Df  p.value Sig.
1 TJ_F1_f0_Optimized_3.noAR 16166.49  33                               
2 TJ_F1_f0_Optimized_2.noAR 13971.46  41   2195.031 8.000  < 2e-16  ***

AIC difference: 5174.25, model TJ_F1_f0_Optimized_2.noAR has lower AIC.

TJ_F1_f0_Optimized_1.noAR: + speaker factor smooths on f0 and duration

compareML(TJ_F1_f0_Optimized_2.noAR,TJ_F1_f0_Optimized_1.noAR)

TJ_F1_f0_Optimized_2.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord)

TJ_F1_f0_Optimized_1.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord) + 
    s(f0_10Z, speaker, bs = "fs", xt = list(bs = "tp"), k = 11, 
        m = 1) + s(durationZ, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1)

Chi-square test of fREML scores
-----
                      Model    Score Edf Difference    Df  p.value Sig.
1 TJ_F1_f0_Optimized_2.noAR 13971.46  41                               
2 TJ_F1_f0_Optimized_1.noAR 13161.90  45    809.559 4.000  < 2e-16  ***

AIC difference: 1968.25, model TJ_F1_f0_Optimized_1.noAR has lower AIC.

TJ_F1_f0_Optimized.noAR: + character factor smooths

compareML(TJ_F1_f0_Optimized_1.noAR,TJ_F1_f0_Optimized.noAR)

TJ_F1_f0_Optimized_1.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord) + 
    s(f0_10Z, speaker, bs = "fs", xt = list(bs = "tp"), k = 11, 
        m = 1) + s(durationZ, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1)

TJ_F1_f0_Optimized.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1) + 
    s(measurement.no, speaker, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(measurement.no, speaker, bs = "fs", 
    xt = list(bs = "tp"), k = 11, m = 1, by = DiphVar.ord) + 
    s(measurement.no, character, bs = "fs", xt = list(bs = "tp"), 
        k = 11, m = 1) + s(f0_10Z, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(f0_10Z, character, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1) + s(durationZ, speaker, bs = "fs", xt = list(bs = "tp"), 
    k = 11, m = 1)

Chi-square test of fREML scores
-----
                      Model    Score Edf Difference    Df  p.value Sig.
1 TJ_F1_f0_Optimized_1.noAR 13161.90  45                               
2   TJ_F1_f0_Optimized.noAR 12847.19  49    314.710 4.000  < 2e-16  ***

AIC difference: 802.18, model TJ_F1_f0_Optimized.noAR has lower AIC.

2.4.2 Fixed effects

TJ_F1_f0_mechanism_0.noAR <- readRDS("TJ_F1_f0_mechanism_0_noAR.rds")
TJ_F1_f0_mechanism_1.noAR <- readRDS("model4_A_TJ_noAR.rds")
TJ_F1_f0_mechanism_2.noAR <- readRDS("TJ_F1_f0_mechanism_2_noAR.rds")
TJ_F1_f0_mechanism_3.noAR <- readRDS("TJ_F1_f0_mechanism_3_noAR.rds")
TJ_F1_f0_mechanism_4.noAR <- readRDS("TJ_F1_f0_mechanism_4_noAR.rds")
TJ_F1_f0_mechanism_5.noAR <- readRDS("TJ_F1_f0_mechanism_5_noAR.rds")

TJ_F1_f0_mechanism_5.noAR: baseline

TJ_F1_f0_mechanism_4.noAR: + covariates

compareML(TJ_F1_f0_mechanism_5.noAR,TJ_F1_f0_mechanism_4.noAR)

TJ_F1_f0_mechanism_5.noAR: f1Z ~ DiphVar.ord + s(measurement.no, bs = "cr", k = 11, m = 1) + 
    s(f0_10Z, bs = "cr", k = 11, m = 1) + s(durationZ, bs = "cr", 
    k = 11, m = 1)

TJ_F1_f0_mechanism_4.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1)

Chi-square test of ML scores
-----
                      Model    Score Edf Difference    Df  p.value Sig.
1 TJ_F1_f0_mechanism_5.noAR 18488.92  10                               
2 TJ_F1_f0_mechanism_4.noAR 18015.18  16    473.736 6.000  < 2e-16  ***

AIC difference: 937.36, model TJ_F1_f0_mechanism_4.noAR has lower AIC.

TJ_F1_f0_mechanism_3.noAR: + ti

compareML(TJ_F1_f0_mechanism_4.noAR,TJ_F1_f0_mechanism_3.noAR)

TJ_F1_f0_mechanism_4.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1)

TJ_F1_f0_mechanism_3.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11))

Chi-square test of ML scores
-----
                      Model    Score Edf Difference     Df  p.value Sig.
1 TJ_F1_f0_mechanism_4.noAR 18015.18  16                                
2 TJ_F1_f0_mechanism_3.noAR 17457.38  29    557.799 13.000  < 2e-16  ***

AIC difference: 1162.04, model TJ_F1_f0_mechanism_3.noAR has lower AIC.

TJ_F1_f0_mechanism_2.noAR: + by factors ti

compareML(TJ_F1_f0_mechanism_3.noAR,TJ_F1_f0_mechanism_2.noAR)

TJ_F1_f0_mechanism_3.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11))

TJ_F1_f0_mechanism_2.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11))

Chi-square test of ML scores
-----
                      Model    Score Edf Difference    Df   p.value Sig.
1 TJ_F1_f0_mechanism_3.noAR 17457.38  29                                
2 TJ_F1_f0_mechanism_2.noAR 17436.38  32     21.007 3.000 3.984e-09  ***

AIC difference: 88.70, model TJ_F1_f0_mechanism_2.noAR has lower AIC.

TJ_F1_f0_mechanism_1.noAR: + smooth of time by factors

compareML(TJ_F1_f0_mechanism_2.noAR,TJ_F1_f0_mechanism_1.noAR)

TJ_F1_f0_mechanism_2.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11))

TJ_F1_f0_mechanism_1.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, 
    m = 1)

Chi-square test of ML scores
-----
                      Model    Score Edf Difference     Df  p.value Sig.
1 TJ_F1_f0_mechanism_2.noAR 17436.38  32                                
2 TJ_F1_f0_mechanism_1.noAR 16200.91  52   1235.466 20.000  < 2e-16  ***

AIC difference: 2508.46, model TJ_F1_f0_mechanism_1.noAR has lower AIC.

TJ_F1_f0_mechanism.noAR: + smooths of f0 and ti by DiphVar

compareML(TJ_F1_f0_mechanism_1.noAR,TJ_F1_f0_mechanism_0.noAR)

TJ_F1_f0_mechanism_1.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, 
    m = 1)

TJ_F1_f0_mechanism_0.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = DiphVar.ord, k = c(11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, m = 1)

Chi-square test of ML scores
-----
                      Model    Score Edf Difference     Df  p.value Sig.
1 TJ_F1_f0_mechanism_1.noAR 16200.91  52                                
2 TJ_F1_f0_mechanism_0.noAR 16134.00  67     66.912 15.000  < 2e-16  ***

AIC difference: 150.72, model TJ_F1_f0_mechanism_0.noAR has lower AIC.

3 Model comparison for testing if tones still have effects on F1 after modeling f0 and duration

3.1 XA

model4_A.noAR: No tone factor model4_B.noAR: With tone factor

model4_A.noAR <- readRDS("model4_A_noAR.rds")
model4_B.noAR <- readRDS("model4_B_noAR.rds")

compareML(model4_A.noAR, model4_B.noAR)

model4_A.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, 
    m = 1)

model4_B.noAR: f1Z ~ ToneVarDiphInt.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = type.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", 
    k = 11, m = 1)

Chi-square test of ML scores
-----
          Model    Score Edf Difference     Df  p.value Sig.
1 model4_A.noAR 20683.59  52                                
2 model4_B.noAR 19772.02  88    911.571 36.000  < 2e-16  ***

AIC difference: 1709.80, model model4_B.noAR has lower AIC.

3.2 TJ

model4_A_TJ.noAR: No tone factor model4_B_TJ.noAR: With tone factor

model4_A_TJ.noAR <- readRDS("model4_A_TJ_noAR.rds")
model4_B_TJ.noAR <- readRDS("model4_B_TJ_noAR.rds")

compareML(model4_A_TJ.noAR, model4_B_TJ.noAR)

model4_A_TJ.noAR: f1Z ~ DiphVar.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = DiphVar.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = type.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = order.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = sex.ord, bs = "cr", k = 11, 
    m = 1) + s(measurement.no, by = leftSegment.ord, bs = "cr", 
    k = 11, m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", k = 11, 
    m = 1)

model4_B_TJ.noAR: f1Z ~ ToneVarDiphInt.ord + sex.ord + type.ord + order.ord + leftSegment.ord + 
    s(measurement.no, bs = "cr", k = 11, m = 1) + s(f0_10Z, bs = "cr", 
    k = 11, m = 1) + s(durationZ, bs = "cr", k = 11, m = 1) + 
    ti(measurement.no, f0_10Z, k = c(11, 11)) + ti(measurement.no, 
    durationZ, k = c(11, 11)) + ti(f0_10Z, durationZ, k = c(11, 
    11)) + ti(measurement.no, durationZ, f0_10Z, k = c(11, 11, 
    11)) + ti(measurement.no, f0_10Z, by = sex.ord, k = c(11, 
    11)) + s(measurement.no, by = ToneVarDiphInt.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = type.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = order.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = sex.ord, bs = "cr", 
    k = 11, m = 1) + s(measurement.no, by = leftSegment.ord, 
    bs = "cr", k = 11, m = 1) + s(f0_10Z, by = sex.ord, bs = "cr", 
    k = 11, m = 1)

Chi-square test of ML scores
-----
             Model    Score Edf Difference     Df  p.value Sig.
1 model4_A_TJ.noAR 16200.91  52                                
2 model4_B_TJ.noAR 15830.10  88    370.814 36.000  < 2e-16  ***

AIC difference: 743.34, model model4_B_TJ.noAR has lower AIC.