Table 2.
Simulation results for the logistic error distribution with n = 250 and t = 2.
| PS | η̂0 | η̂1 | η̂2 | Ŝ(η̂opt) | SE | CP | S(η̂opt) | MR | |
|---|---|---|---|---|---|---|---|---|---|
| Censor Rate = 15% | |||||||||
| ŜI | T | 0.010 (0.370) | 0.566 (0.272) | −0.641 (0.241) | 0.716 (0.034) | 0.038 | 0.791 | 0.652 (0.022) | 0.155 (0.089) |
| S̃I | T | −0.004 (0.341) | 0.593 (0.262) | −0.640 (0.235) | 0.685 (0.034) | 0.039 | 0.955 | 0.655 (0.020) | 0.145 (0.082) |
| ŜA | T | 0.007 (0.363) | 0.578 (0.260) | −0.639 (0.240) | 0.713 (0.034) | 0.039 | 0.818 | 0.653 (0.020) | 0.151 (0.084) |
| S̃A | T | −0.006 (0.341) | 0.595 (0.251) | −0.642 (0.233) | 0.684 (0.034) | 0.039 | 0.962 | 0.655 (0.020) | 0.143 (0.081) |
| ŜI | F | 0.041 (0.461) | 0.340 (0.389) | −0.662 (0.284) | 0.729 (0.033) | 0.037 | 0.649 | 0.632 (0.040) | 0.224 (0.120) |
| S̃I | F | −0.001 (0.461) | 0.375 (0.350) | −0.667 (0.283) | 0.707 (0.033) | 0.037 | 0.846 | 0.636 (0.035) | 0.216 (0.107) |
| ŜA | F | −0.025 (0.337) | 0.630 (0.198) | −0.637 (0.210) | 0.723 (0.036) | 0.040 | 0.753 | 0.658 (0.013) | 0.133 (0.068) |
| S̃A | F | −0.029 (0.320) | 0.633 (0.204) | −0.642 (0.204) | 0.695 (0.036) | 0.040 | 0.926 | 0.659 (0.012) | 0.130 (0.064) |
|
| |||||||||
| Censor Rate = 40% | |||||||||
| ŜI | T | 0.013 (0.395) | 0.545 (0.293) | −0.625 (0.266) | 0.721 (0.036) | 0.041 | 0.785 | 0.649 (0.027) | 0.168 (0.097) |
| S̃I | T | −0.008 (0.362) | 0.581 (0.274) | −0.626 (0.255) | 0.687 (0.036) | 0.041 | 0.948 | 0.652 (0.022) | 0.155 (0.087) |
| ŜA | T | 0.004 (0.381) | 0.558 (0.277) | −0.635 (0.255) | 0.718 (0.036) | 0.042 | 0.807 | 0.651 (0.023) | 0.160 (0.089) |
| S̃A | T | −0.016 (0.361) | 0.578 (0.270) | −0.634 (0.246) | 0.686 (0.036) | 0.042 | 0.955 | 0.653 (0.022) | 0.153 (0.086) |
| ŜI | F | 0.061 (0.471) | 0.325 (0.413) | −0.640 (0.299) | 0.733 (0.035) | 0.039 | 0.661 | 0.628 (0.042) | 0.235 (0.124) |
| S̃I | F | 0.021 (0.482) | 0.355 (0.370) | −0.639 (0.312) | 0.709 (0.035) | 0.040 | 0.842 | 0.631 (0.038) | 0.229 (0.114) |
| ŜA | F | −0.012 (0.350) | 0.625 (0.206) | −0.631 (0.217) | 0.722 (0.038) | 0.042 | 0.785 | 0.657 (0.014) | 0.138 (0.070) |
| S̃A | F | −0.022 (0.331) | 0.628 (0.214) | −0.634 (0.221) | 0.692 (0.038) | 0.043 | 0.939 | 0.658 (0.013) | 0.136 (0.067) |
†
PS, the propensity score model. Here T means the correctly specified PS model while F means the misspecified PS model. Recall that S(ηopt) = 0.672.