True HR and eψ | Method | Mean estimate | Mean SE | SE of mean | 95% Confidence interval | Bias | MSE | Coverage (%) | Successful estimation (%) | |
---|---|---|---|---|---|---|---|---|---|---|
 |  |  |  |  | Lower | Upper |  |  |  |  |
 | Hazard ratio methods |  |  |  |  |  |  |  |  |  |
 | ITT | 0.9406 | 0.0940 | 0.0965 | 0.7733 | 1.1442 | 0.0406 | 0.0110 | 92.2 | 100.0 |
 | PP - Exclude switchers | 1.0018 | 0.1448 | 0.1472 | 0.7547 | 1.3300 | 0.1018 | 0.0320 | 89.6 | 100.0 |
 | PP - Censor at switch | 2.2865 | 0.3323 | 0.3282 | 1.7198 | 3.0403 | 1.3865 | 2.0301 | 0.0 | 100.0 |
 | Time-dependent covariate | 3.2815 | 0.4544 | 0.4520 | 2.5017 | 4.3050 | 2.3815 | 5.8757 | 0.0 | 100.0 |
 | Law and Kaldor | 0.9508 | 0.1230 | 0.1263 | 0.7379 | 1.2251 | 0.0508 | 0.0185 | 93.7 | 100.0 |
 | Loeys and Goethebeur | 0.8548 | - | 0.2874 | 0.4414 | 1.7657 | -0.0452 | 0.0847 | 93.6 | 99.9 |
0.9 & 1.23 | AFT methods | Â | Â | Â | Â | Â | Â | Â | Â | Â |
 | ITT | 1.1696 | 0.2386 | 0.2446 | 0.7843 | 1.7447 | -0.0650 | 0.0640 | 92.6 | 100.0 |
 | PP - Exclude switchers | 1.0631 | 0.1448 | 0.3143 | 0.5983 | 1.8922 | -0.1715 | 0.1282 | 90.0 | 100.0 |
 | PP - Censor at switch | 0.2100 | 0.0626 | 0.0640 | 0.1172 | 0.3769 | -1.0246 | 1.0539 | 0.0 | 100.0 |
 | Robins and Tsiatis - Logrank | 1.2876 | - | 0.4161 | 0.6611 | 2.3440 | 0.0530 | 0.1759 | 94.4 | 100.0 |
 | Robins and Tsiatis - Cox | 1.2835 | - | 0.4156 | 0.6581 | 2.3451 | 0.0489 | 0.1751 | 94.4 | 95.9 |
 | Robins and Tsiatis - Exponential | 1.3120 | - | 0.3923 | 0.9033 | 2.0554 | 0.0774 | 0.1599 | 84.0 | 99.7 |
 | Robins and Tsiatis - Weibull | 1.2898 | - | 0.4125 | 0.6781 | 2.3512 | 0.0553 | 0.1732 | 94.5 | 99.8 |
 | Branson and Whitehead | 1.2789 | 0.2613 | 0.3755 | 0.8571 | 1.9090 | 0.0443 | 0.1429 | 82.6 | 100.0 |
 | Walker et al | 2.6653 | 0.9576 | 0.9545 | 1.3297 | 5.5524 | 1.4307 | 2.9579 | 46.7 | 99.9 |
 | Hazard ratio methods |  |  |  |  |  |  |  |  |  |
 | ITT | 0.8109 | 0.0842 | 0.0843 | 0.6616 | 0.9939 | 0.1109 | 0.0194 | 71.4 | 100.0 |
 | PP - Exclude switchers | 0.7834 | 0.1147 | 0.1158 | 0.5880 | 1.0437 | 0.0834 | 0.0204 | 89.7 | 100.0 |
 | PP - Censor at switch | 1.7695 | 0.2612 | 0.2559 | 1.3250 | 2.3634 | 1.0695 | 1.2092 | 0.0 | 100.0 |
 | Time-dependent covariate | 2.5841 | 0.3613 | 0.3598 | 1.9647 | 3.3991 | 1.8841 | 3.6791 | 0.0 | 100.0 |
 | Law and Kaldor | 0.8147 | 0.1113 | 0.1125 | 0.6233 | 1.0649 | 0.1147 | 0.0258 | 81.4 | 100.0 |
 | Loeys and Goethebeur | 0.5287 | - | 0.1897 | 0.2352 | 1.0444 | -0.1713 | 0.0653 | 86.9 | 96.9 |
0.7 & 2.04 | AFT methods | Â | Â | Â | Â | Â | Â | Â | Â | Â |
 | ITT | 1.5826 | 0.3351 | 0.3379 | 1.0452 | 2.3973 | -0.4582 | 0.3242 | 72.8 | 100.0 |
 | PP - Exclude switchers | 1.7560 | 0.1147 | 0.5427 | 0.9817 | 3.1462 | -0.2849 | 0.3757 | 90.5 | 100.0 |
 | PP - Censor at switch | 0.3494 | 0.1032 | 0.1020 | 0.1961 | 0.6240 | -1.6914 | 2.8712 | 0.0 | 100.0 |
 | Robins and Tsiatis - Logrank | 2.1469 | - | 0.7376 | 1.0853 | 4.0598 | 0.1061 | 0.5552 | 95.7 | 100.0 |
 | Robins and Tsiatis - Cox | 2.1363 | - | 0.7256 | 1.0640 | 4.0757 | 0.0955 | 0.5356 | 95.9 | 92.4 |
 | Robins and Tsiatis - Exponential | 2.1549 | - | 0.7419 | 1.3002 | 3.6453 | 0.1140 | 0.5635 | 88.4 | 100.0 |
 | Robins and Tsiatis - Weibull | 2.1472 | - | 0.7359 | 1.0961 | 4.0901 | 0.1064 | 0.5528 | 95.6 | 100.0 |
 | Branson and Whitehead | 2.0328 | 0.4340 | 0.6210 | 1.3380 | 3.0899 | -0.0080 | 0.3857 | 82.6 | 100.0 |
 | Walker et al | 4.2491 | 1.5202 | 1.2616 | 2.1208 | 8.6357 | 2.2083 | 6.4681 | 45.3 | 88.3 |