| Model(1) | Model (2) | Model (3) | |||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Value | 2.5% | 97.5% | P | Value | 2.5% | 97.5% | P | Value | 2.5% | 97.5% | P | |
Intercept (\(\beta _0\)) | 10.321 | 10.215 | 10.423 | 0.000 | 10.316 | 10.211 | 10.419 | 0.000 | 10.318 | 10.216 | 10.421 | 0.000 |
Spline\(_1\) (\(\beta _1\)) | − 2.163 | − 2.220 | − 2.101 | 0.000 | − 2.160 | − 2.218 | − 2.106 | 0.000 | − 2.161 | − 2.218 | − 2.105 | 0.000 |
Spline\(_2\) (\(\beta _2\)) | − 2.685 | − 2.748 | − 2.616 | 0.000 | − 2.682 | − 2.748 | − 2.618 | 0.000 | − 2.685 | − 2.750 | − 2.617 | 0.000 |
Spline\(_3\) (\(\beta _3\)) | − 2.424 | − 2.473 | − 2.373 | 0.000 | − 2.422 | − 2.470 | − 2.374 | 0.000 | − 2.423 | − 2.471 | − 2.373 | 0.000 |
MHT\(_1\) \(\times\) Spline\(_1\) (\(\beta _4\)) | 0.302 | 0.183 | 0.419 | 0.000 | 0.301 | 0.189 | 0.412 | 0.000 | 0.293 | 0.181 | 0.410 | 0.000 |
MHT\(_1\) \(\times\) Spline\(_2\) (\(\beta _5\)) | 0.088 | − 0.050 | 0.224 | 0.193 | 0.085 | − 0.050 | 0.216 | 0.211 | 0.076 | − 0.057 | 0.210 | 0.266 |
MHT\(_1\) \(\times\) Spline\(_3\) (\(\beta _6\)) | 0.229 | 0.124 | 0.332 | 0.000 | 0.231 | 0.129 | 0.330 | 0.000 | 0.223 | 0.121 | 0.328 | 0.000 |
MHT\(_2\) \(\times\) Spline\(_1\) (\(\beta _7\)) | 0.643 | 0.449 | 0.829 | 0.000 | 0.642 | 0.449 | 0.842 | 0.000 | 0.654 | 0.451 | 0.855 | 0.000 |
MHT\(_2\) \(\times\) Spline\(_2\) (\(\beta _8\)) | 0.253 | 0.024 | 0.479 | 0.033 | 0.252 | 0.023 | 0.483 | 0.029 | 0.265 | 0.027 | 0.492 | 0.025 |
MHT\(_2\) \(\times\) Spline\(_3\) (\(\beta _9\)) | 0.514 | 0.339 | 0.683 | 0.000 | 0.514 | 0.340 | 0.693 | 0.000 | 0.526 | 0.350 | 0.705 | 0.000 |
MP\(_1\) \(\times\) Spline\(_1\) (\(\beta _{10}\)) | 0.916 | 0.836 | 1.002 | 0.000 | 0.918 | 0.837 | 0.995 | 0.000 | 0.916 | 0.839 | 0.993 | 0.000 |
MP\(_1\) \(\times\) Spline\(_2\) (\(\beta _{11}\)) | 0.854 | 0.759 | 0.956 | 0.000 | 0.853 | 0.760 | 0.947 | 0.000 | 0.853 | 0.758 | 0.948 | 0.000 |
MP\(_1\) \(\times\) Spline\(_3\) (\(\beta _{12}\)) | 0.980 | 0.907 | 1.054 | 0.000 | 0.981 | 0.912 | 1.051 | 0.000 | 0.979 | 0.910 | 1.047 | 0.000 |
BMI (\(\delta _1\)) | − 0.179 | − 0.183 | − 0.175 | 0.000 | − 0.179 | − 0.183 | − 0.175 | 0.000 | − 0.179 | − 0.183 | − 0.175 | 0.000 |
MHT\(_1\) (\(\delta _2\)) | − 0.035 | − 0.116 | 0.042 | 0.395 | − 0.036 | − 0.117 | 0.047 | 0.388 | − 0.029 | − 0.117 | 0.053 | 0.505 |
MHT\(_2\) (\(\delta _3\)) | 0.174 | 0.038 | 0.318 | 0.012 | 0.177 | 0.040 | 0.310 | 0.013 | 0.167 | 0.029 | 0.306 | 0.013 |
MP\(_1\) (\(\delta _4\)) | − 0.508 | − 0.560 | − 0.457 | 0.000 | − 0.510 | − 0.561 | − 0.457 | 0.000 | − 0.509 | − 0.558 | − 0.457 | 0.000 |
\(\sigma\) | 0.547 | 0.539 | 0.554 | 0.000 | 0.546 | 0.539 | 0.554 | 0.000 | 0.547 | 0.539 | 0.554 | 0.000 |
D[1, 1] | 3.873 | 3.474 | 4.249 | 0.000 | 3.896 | 3.500 | 4.281 | 0.000 | 3.874 | 3.475 | 4.258 | 0.000 |
D[2, 1] | − 3.435 | − 3.788 | − 3.096 | 0.000 | − 3.432 | − 3.782 | − 3.093 | 0.000 | − 3.374 | − 3.725 | − 3.018 | 0.000 |
D[3, 1] | − 4.088 | − 4.628 | − 3.551 | 0.000 | − 4.109 | − 4.653 | − 3.558 | 0.000 | − 4.073 | − 4.627 | − 3.501 | 0.000 |
D[4, 1] | − 3.652 | − 4.003 | − 3.297 | 0.000 | − 3.627 | − 3.974 | − 3.266 | 0.000 | − 3.613 | − 3.945 | − 3.257 | 0.000 |
D[2, 2] | 9.195 | 8.219 | 10.142 | 0.000 | 9.210 | 8.245 | 10.149 | 0.000 | 9.139 | 8.078 | 10.193 | 0.000 |
D[3, 2] | 8.287 | 7.642 | 8.952 | 0.000 | 8.260 | 7.630 | 8.910 | 0.000 | 8.158 | 7.512 | 8.816 | 0.000 |
D[4, 2] | 7.120 | 6.373 | 7.859 | 0.000 | 7.141 | 6.379 | 7.871 | 0.000 | 7.093 | 6.308 | 7.884 | 0.000 |
D[3, 3] | 12.147 | 10.781 | 13.515 | 0.000 | 12.147 | 10.749 | 13.486 | 0.000 | 12.109 | 10.646 | 13.510 | 0.000 |
D[4, 3] | 6.486 | 6.027 | 6.964 | 0.000 | 6.436 | 5.953 | 6.920 | 0.000 | 6.421 | 5.938 | 6.906 | 0.000 |
D[4, 4] | 7.077 | 6.321 | 7.822 | 0.000 | 7.085 | 6.326 | 7.845 | 0.000 | 7.054 | 6.295 | 7.783 | 0.000 |