Table 3. Simulation results for time-to-event outcomes generated from a proportional hazards regression model.
Simulation settings
|
Benchmark performance
|
Overall performance
|
||||||||||
---|---|---|---|---|---|---|---|---|---|---|---|---|
Case-mix
|
Coefficients
|
case-mix corrected c-index | mbc = mbc(Xβ) | SE[mbc] | Calibration slope | c-index | c-mbc = mbc( Xβ) | SE[c-mbc] | ||||
Sd(x1) | p(x2) | β0 | β1 | β2 | ||||||||
A | 1 | 0.2 | −2 | 1 | 1 | 0.736 (0.0062) | 0.736 (0.0057) | 0.0056 | 1.003 (0.064) | 0.736 (0.013) | 0.737 (0.011) | 0.011 |
B | 0.8 | 0.2 | −2 | 1 | 1 | 0.708 (0.0059) | 0.708 (0.0055) | 0.0054 | 1.004 (0.072) | 0.708 (0.014) | 0.709 (0.012) | 0.012 |
C | 1.2 | 0.2 | −2 | 1 | 1 | 0.760 (0.0061) | 0.761 (0.0056) | 0.0057 | 1.003 (0.059) | 0.761 (0.012) | 0.761 (0.011) | 0.011 |
D | 1 | 0.1 | −2 | 1 | 1 | 0.731 (0.0062) | 0.731 (0.0057) | 0.0056 | 1.004 (0.065) | 0.732 (0.013) | 0.732 (0.011) | 0.011 |
E | 1 | 0.4 | −2 | 1 | 1 | 0.742 (0.0061) | 0.742 (0.0056) | 0.0056 | 1.003 (0.063) | 0.742 (0.013) | 0.742 (0.011) | 0.011 |
F | 1 | 0.2 | −2 | 0.8 | 1 | 0.736 (0.0062) | 0.736 (0.0057) | 0.0056 | 0.826 (0.059) | 0.707 (0.014) | 0.707 (0.012) | 0.012 |
G | 1 | 0.2 | −2 | 1.2 | 1 | 0.736 (0.0062) | 0.736 (0.0056) | 0.0056 | 1.168 (0.068) | 0.760 (0.012) | 0.760 (0.011) | 0.011 |
H | 1 | 0.2 | −2 | 1 | 0.5 | 0.736 (0.0059) | 0.736 (0.0056) | 0.0056 | 0.901 (0.063) | 0.723 (0.013) | 0.720 (0.012) | 0.011 |
I | 1 | 0.2 | −2 | 1 | 2 | 0.736 (0.0061) | 0.736 (0.0056) | 0.0056 | 1.057 (0.067) | 0.748 (0.013) | 0.745 (0.011) | 0.011 |