Table I.
Simulation results for 7% censoring.
| β01 | β02 | β1 | β2 | β3 | α1 | α2 | α3 | γ | |
|---|---|---|---|---|---|---|---|---|---|
| True parameter values | 0.5 | 0.5 | 0.5 | 0.9 | 0.75 | 0.5 | 0.9 | 0.75 | 1 |
| Semiparametric with n = 100 | |||||||||
| Mean | 0.519 | 0.666 | 0.682 | 0.622 | 0.525 | 0.574 | 0.979 | ||
| Bias | 0.019 | −0.234 | −0.068 | 0.122 | −0.375 | −0.176 | −0.021 | ||
| Empirical SE | 0.187 | 0.150 | 0.162 | 0.381 | 0.234 | 0.256 | 0.316 | ||
| Bootstrap SE | 0.152 | 0.151 | 0.164 | 0.289 | 0.210 | 0.226 | 0.411 | ||
| 95% CI coverage | 0.938 | 0.928 | 0.959 | 0.851 | 0.877 | 0.892 | 0.995 | ||
| Semiparametric with n = 200 | |||||||||
| Mean | 0.524 | 0.730 | 0.694 | 0.650 | 0.609 | 0.595 | 1.007 | ||
| Bias | 0.024 | −0.170 | −0.056 | 0.150 | −0.291 | −0.155 | 0.007 | ||
| Empirical SE | 0.120 | 0.112 | 0.111 | 0.324 | 0.181 | 0.187 | 0.294 | ||
| Bootstrap SE | 0.106 | 0.119 | 0.118 | 0.231 | 0.171 | 0.176 | 0.276 | ||
| 95% CI coverage | 0.915 | 0.969 | 0.964 | 0.906 | 0.924 | 0.942 | 0.920 | ||
| Parametric with n = 100 | |||||||||
| Mean | 0.511 | 0.504 | 0.502 | 0.910 | 0.830 | 0.496 | 0.900 | 0.872 | 1.014 |
| Bias | 0.011 | 0.004 | 0.002 | 0.010 | 0.080 | −0.004 | <0.001 | 0.122 | 0.014 |
| Empirical SE | 0.141 | 0.183 | 0.118 | 0.153 | 0.766 | 0.118 | 0.191 | 1.432 | 0.307 |
| Model SE | 0.141 | 0.182 | 0.114 | 0.134 | 0.192 | 0.123 | 0.168 | 0.267 | 0.297 |
| 95% CI coverage | 0.952 | 0.948 | 0.956 | 0.919 | 0.956 | 0.960 | 0.927 | 0.980 | 0.948 |
| Parametric with n = 200 | |||||||||
| Mean | 0.499 | 0.513 | 0.490 | 0.897 | 0.772 | 0.498 | 0.886 | 0.770 | 1.005 |
| Bias | −0.001 | 0.013 | −0.010 | −0.003 | 0.022 | −0.002 | −0.014 | 0.020 | 0.005 |
| Empirical SE | 0.097 | 0.141 | 0.081 | 0.085 | 0.132 | 0.091 | 0.117 | 0.178 | 0.214 |
| Model SE | 0.100 | 0.130 | 0.080 | 0.095 | 0.125 | 0.087 | 0.119 | 0.167 | 0.208 |
| 95% CI coverage | 0.948 | 0.928 | 0.952 | 0.968 | 0.936 | 0.940 | 0.952 | 0.948 | 0.944 |
| Parametric with n = 100; event time link misspecified | |||||||||
| Mean | −0.650 | 0.504 | 0.435 | 0.899 | 0.986 | 0.421 | 0.875 | 1.033 | 1.039 |
| Bias | −1.150 | 0.004 | −0.065 | −0.001 | 0.236 | −0.079 | −0.025 | 0.283 | 0.039 |
| Empirical SE | 0.260 | 0.191 | 0.211 | 0.137 | 1.300 | 0.284 | 0.272 | 1.644 | 0.397 |
| Model SE | 0.258 | 0.187 | 0.219 | 0.135 | 0.263 | 0.235 | 0.202 | 0.378 | 0.330 |
| 95% CI coverage | 0.936 | 0.949 | 0.962 | 0.953 | 0.941 | 0.915 | 0.932 | 0.958 | 0.915 |
| Parametric with n = 200; event time link misspecified | |||||||||
| Mean | −0.639 | 0.506 | 0.416 | 0.889 | 1.036 | 0.422 | 0.858 | 1.230 | 0.973 |
| Bias | −1.139 | 0.006 | −0.084 | −0.011 | 0.286 | −0.078 | −0.042 | 0.480 | −0.027 |
| Empirical SE | 0.176 | 0.138 | 0.157 | 0.095 | 1.719 | 0.205 | 0.294 | 2.952 | 0.366 |
| Model SE | 0.181 | 0.133 | 0.154 | 0.095 | 0.186 | 0.169 | 0.146 | 0.258 | 0.225 |
| 95% CI coverage | 0.958 | 0.946 | 0.942 | 0.954 | 0.729 | 0.929 | 0.888 | 0.504 | 0.921 |