Table 3.
Simulation results for comparison of AUC, AARD, and MRD from JM2 to the other 3 models under scenario 3. Percent gain and estimated percent gain are calculated as (JM2−JM1)/True and (JM2−JM1)/JM2 respectively.
Cox’s(Baseline) | Cox’s(time-dependent) | JM1 | JM2 | % gain (JM2 vs JM1) | |||||||
---|---|---|---|---|---|---|---|---|---|---|---|
t | True | Mean | ESD | Mean | ESD | Mean | ESD | Mean | ESD | True | Estimated |
AUC | |||||||||||
3 | 0.791 | 0.738 | 0.026 | 0.683 | 0.027 | 0.720 | 0.025 | 0.774 | 0.023 | 0.068 | 0.07 |
3.5 | 0.811 | 0.737 | 0.023 | 0.686 | 0.024 | 0.728 | 0.023 | 0.790 | 0.021 | 0.076 | 0.078 |
4 | 0.830 | 0.736 | 0.022 | 0.688 | 0.023 | 0.733 | 0.022 | 0.805 | 0.019 | 0.087 | 0.089 |
4.5 | 0.851 | 0.734 | 0.022 | 0.692 | 0.022 | 0.738 | 0.023 | 0.819 | 0.018 | 0.095 | 0.099 |
5 | 0.871 | 0.735 | 0.022 | 0.697 | 0.023 | 0.745 | 0.023 | 0.834 | 0.017 | 0.102 | 0.107 |
AARD | |||||||||||
3 | 0.434 | 0.348 | 0.048 | 0.263 | 0.04 | 0.323 | 0.047 | 0.407 | 0.046 | 0.194 | 0.206 |
3.5 | 0.465 | 0.345 | 0.043 | 0.267 | 0.042 | 0.335 | 0.043 | 0.433 | 0.041 | 0.211 | 0.226 |
4 | 0.502 | 0.343 | 0.042 | 0.264 | 0.042 | 0.342 | 0.043 | 0.454 | 0.039 | 0.223 | 0.247 |
4.5 | 0.540 | 0.341 | 0.042 | 0.267 | 0.042 | 0.347 | 0.042 | 0.478 | 0.039 | 0.243 | 0.274 |
5 | 0.582 | 0.343 | 0.044 | 0.270 | 0.044 | 0.355 | 0.042 | 0.503 | 0.038 | 0.254 | 0.294 |
MRD | |||||||||||
3 | 0.258 | 0.130 | 0.026 | 0.161 | 0.028 | 0.088 | 0.018 | 0.203 | 0.025 | 0.446 | 0.567 |
3.5 | 0.303 | 0.146 | 0.027 | 0.175 | 0.027 | 0.108 | 0.021 | 0.241 | 0.025 | 0.439 | 0.552 |
4 | 0.337 | 0.153 | 0.026 | 0.173 | 0.026 | 0.125 | 0.023 | 0.270 | 0.025 | 0.43 | 0.537 |
4.5 | 0.362 | 0.154 | 0.026 | 0.164 | 0.026 | 0.136 | 0.023 | 0.292 | 0.024 | 0.431 | 0.534 |
5 | 0.379 | 0.149 | 0.025 | 0.155 | 0.026 | 0.145 | 0.024 | 0.306 | 0.024 | 0.425 | 0.526 |