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 | 0.9120 | 0.0884 | 0.0882 | 0.7542 | 1.1027 | 0.0120 | 0.0079 | 94.6 | 100.0 |
 | PP - Exclude switchers | 0.9053 | 0.0932 | 0.0929 | 0.7399 | 1.1076 | 0.0053 | 0.0087 | 94.3 | 100.0 |
 | PP - Censor at switch | 1.0589 | 0.1091 | 0.1086 | 0.8653 | 1.2957 | 0.1589 | 0.0370 | 67.5 | 100.0 |
 | Time-dependent covariate | 1.1998 | 0.1189 | 0.1211 | 0.9880 | 1.4570 | 0.2998 | 0.1046 | 19.1 | 100.0 |
 | Law and Kaldor | 0.9168 | 0.1136 | 0.1132 | 0.7192 | 1.1688 | 0.0168 | 0.0131 | 94.7 | 100.0 |
 | Loeys and Goethebeur | 0.8900 | - | 0.1086 | 0.6999 | 1.1354 | -0.0100 | 0.0119 | 94.8 | 100.0 |
0.9 & 1.23 | AFT methods | Â | Â | Â | Â | Â | Â | Â | Â | Â |
 | ITT | 1.2357 | 0.2392 | 0.2423 | 0.8457 | 1.8060 | 0.0011 | 0.0587 | 94.6 | 100.0 |
 | PP - Exclude switchers | 1.2586 | 0.0932 | 0.2616 | 0.8415 | 1.8830 | 0.0240 | 0.0690 | 94.3 | 100.0 |
 | PP - Censor at switch | 0.9214 | 0.1864 | 0.1897 | 0.6199 | 1.3700 | -0.3132 | 0.1341 | 66.3 | 100.0 |
 | Robins and Tsiatis - Logrank | 1.2715 | - | 0.2852 | 0.8244 | 1.9604 | 0.0370 | 0.0827 | 94.7 | 100.0 |
 | Robins and Tsiatis - Cox | 1.2703 | - | 0.2806 | 0.8199 | 1.9888 | 0.0357 | 0.0800 | 95.2 | 97.2 |
 | Robins and Tsiatis - Exponential | 1.2781 | - | 0.2820 | 0.9712 | 1.7776 | 0.0436 | 0.0814 | 83.0 | 99.7 |
 | Robins and Tsiatis - Weibull | 1.2714 | - | 0.2845 | 0.8278 | 1.9933 | 0.0369 | 0.0823 | 95.0 | 99.7 |
 | Branson and Whitehead | 1.2681 | 0.2455 | 0.2745 | 0.8678 | 1.8536 | 0.0335 | 0.0765 | 92.7 | 100.0 |
 | Walker et al | 2.2108 | 1.1659 | 1.1869 | 0.8323 | 1218.7190 | 0.9763 | 2.3617 | 76.6 | 99.4 |
 | Hazard ratio methods |  |  |  |  |  |  |  |  |  |
 | ITT | 0.7315 | 0.0731 | 0.0743 | 0.6014 | 0.8897 | 0.0315 | 0.0065 | 93.6 | 100.0 |
 | PP - Exclude switchers | 0.7050 | 0.0744 | 0.0776 | 0.5733 | 0.8669 | 0.0050 | 0.0060 | 94.3 | 100.0 |
 | PP - Censor at switch | 0.8215 | 0.0868 | 0.0886 | 0.6678 | 1.0106 | 0.1215 | 0.0226 | 69.2 | 100.0 |
 | Time-dependent covariate | 0.9364 | 0.0950 | 0.0982 | 0.7675 | 1.1424 | 0.2364 | 0.0655 | 18.8 | 100.0 |
 | Law and Kaldor | 0.7376 | 0.0957 | 0.0968 | 0.5720 | 0.9511 | 0.0376 | 0.0108 | 93.6 | 100.0 |
 | Loeys and Goethebeur | 0.6733 | - | 0.0876 | 0.5220 | 0.8672 | -0.0267 | 0.0084 | 93.2 | 100.0 |
0.7 & 2.04 | AFT methods | Â | Â | Â | Â | Â | Â | Â | Â | Â |
 | ITT | 1.9259 | 0.3858 | 0.3992 | 1.3007 | 2.8524 | -0.1150 | 0.1726 | 93.5 | 100.0 |
 | PP - Exclude switchers | 2.0825 | 0.0744 | 0.4676 | 1.3766 | 3.1516 | 0.0417 | 0.2204 | 94.3 | 100.0 |
 | PP - Censor at switch | 1.5194 | 0.3140 | 0.3241 | 1.0136 | 2.2786 | -0.5214 | 0.3769 | 66.5 | 100.0 |
 | Robins and Tsiatis - Logrank | 2.1014 | - | 0.5024 | 1.3483 | 3.3204 | 0.0606 | 0.2561 | 94.5 | 100.0 |
 | Robins and Tsiatis - Cox | 2.0969 | - | 0.4977 | 1.3303 | 73.7821 | 0.0561 | 0.2508 | 94.9 | 93.5 |
 | Robins and Tsiatis - Exponential | 2.1041 | - | 0.5090 | 1.4957 | 3.1128 | 0.0633 | 0.2631 | 87.1 | 100.0 |
 | Robins and Tsiatis - Weibull | 2.1017 | - | 0.5024 | 1.3497 | 3.4566 | 0.0609 | 0.2561 | 94.9 | 100.0 |
 | Branson and Whitehead | 2.0889 | 0.4188 | 0.4770 | 1.4104 | 3.0949 | 0.0481 | 0.2299 | 92.2 | 100.0 |
 | Walker et al | 3.6507 | 1.8935 | 1.5878 | 1.3852 | 92.4403 | 1.6099 | 5.1127 | 79.5 | 93.1 |