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 | 0.9136 | 0.0911 | 0.0926 | 0.7515 | 1.1107 | 0.0136 | 0.0088 | 94.8 | 100.0 |
 | PP - Exclude switchers | 0.9235 | 0.0979 | 0.0968 | 0.7504 | 1.1367 | 0.0235 | 0.0099 | 94.6 | 100.0 |
 | PP - Censor at switch | 1.0721 | 0.1137 | 0.1128 | 0.8709 | 1.3197 | 0.1721 | 0.0424 | 63.7 | 100.0 |
 | Time-dependent covariate | 1.2253 | 0.1249 | 0.1254 | 1.0035 | 1.4962 | 0.3253 | 0.1215 | 15.2 | 100.0 |
 | Law and Kaldor | 0.9121 | 0.1173 | 0.1223 | 0.7088 | 1.1737 | 0.0121 | 0.0151 | 94.1 | 100.0 |
 | Loeys and Goethebeur | 0.8933 | - | 0.1137 | 0.6975 | 1.1444 | -0.0067 | 0.0130 | 95.3 | 100.0 |
0.9 & 1.23 | AFT methods | Â | Â | Â | Â | Â | Â | Â | Â | Â |
 | ITT | 1.2399 | 0.2523 | 0.2519 | 0.8323 | 1.8479 | 0.0054 | 0.0635 | 94.7 | 100.0 |
 | PP - Exclude switchers | 1.2159 | 0.0979 | 0.2580 | 0.7959 | 1.8583 | -0.0187 | 0.0669 | 94.9 | 100.0 |
 | PP - Censor at switch | 0.8983 | 0.1911 | 0.1890 | 0.5922 | 1.3632 | -0.3363 | 0.1488 | 64.4 | 100.0 |
 | Robins and Tsiatis - Logrank | 1.2838 | - | 0.3018 | 0.8085 | 2.0389 | 0.0492 | 0.0935 | 94.6 | 100.0 |
 | Robins and Tsiatis - Cox | 1.2854 | - | 0.3020 | 0.8073 | 2.0820 | 0.0508 | 0.0938 | 94.7 | 95.2 |
 | Robins and Tsiatis - Exponential | 1.2895 | - | 0.2934 | 0.9593 | 1.8561 | 0.0549 | 0.0891 | 84.8 | 99.8 |
 | Robins and Tsiatis - Weibull | 1.2836 | - | 0.3003 | 0.8153 | 2.0802 | 0.0490 | 0.0926 | 94.5 | 99.8 |
 | Branson and Whitehead | 1.2713 | 0.2589 | 0.2823 | 0.8530 | 1.8954 | 0.0368 | 0.0810 | 92.9 | 100.0 |
 | Walker et al | 2.9706 | 1.4458 | 1.4409 | 1.1904 | 20.7004 | 1.7360 | 5.0898 | 57.0 | 98.6 |
 | Hazard ratio methods |  |  |  |  |  |  |  |  |  |
 | ITT | 0.7390 | 0.0760 | 0.0777 | 0.6041 | 0.9041 | 0.0390 | 0.0076 | 92.0 | 100.0 |
 | PP - Exclude switchers | 0.7267 | 0.0791 | 0.0800 | 0.5872 | 0.8995 | 0.0267 | 0.0071 | 93.8 | 100.0 |
 | PP - Censor at switch | 0.8418 | 0.0918 | 0.0938 | 0.6798 | 1.0422 | 0.1418 | 0.0289 | 60.1 | 100.0 |
 | Time-dependent covariate | 0.9698 | 0.1012 | 0.1054 | 0.7904 | 1.1899 | 0.2698 | 0.0839 | 14.8 | 100.0 |
 | Law and Kaldor | 0.7397 | 0.0998 | 0.1027 | 0.5679 | 0.9637 | 0.0397 | 0.0121 | 92.8 | 100.0 |
 | Loeys and Goethebeur | 0.6840 | - | 0.0908 | 0.5243 | 0.8886 | -0.0160 | 0.0085 | 95.5 | 100.0 |
0.7 & 2.04 | AFT methods | Â | Â | Â | Â | Â | Â | Â | Â | Â |
 | ITT | 1.9110 | 0.4010 | 0.4163 | 1.2669 | 2.8838 | -0.1298 | 0.1901 | 92.5 | 100.0 |
 | PP - Exclude switchers | 1.9836 | 0.0791 | 0.4501 | 1.2841 | 3.0655 | -0.0573 | 0.2059 | 94.7 | 100.0 |
 | PP - Censor at switch | 1.4612 | 0.3165 | 0.3284 | 0.9560 | 2.2344 | -0.5796 | 0.4438 | 59.4 | 100.0 |
 | Robins and Tsiatis - Logrank | 2.1150 | - | 0.5430 | 1.3172 | 3.4305 | 0.0742 | 0.3004 | 94.7 | 100.0 |
 | Robins and Tsiatis - Cox | 2.1140 | - | 0.5395 | 1.2935 | 27.2997 | 0.0732 | 0.2964 | 94.9 | 92.2 |
 | Robins and Tsiatis - Exponential | 2.1112 | - | 0.5439 | 1.4578 | 3.1966 | 0.0704 | 0.3008 | 87.4 | 100.0 |
 | Robins and Tsiatis - Weibull | 2.1150 | - | 0.5434 | 1.3189 | 3.5350 | 0.0742 | 0.3008 | 94.8 | 100.0 |
 | Branson and Whitehead | 2.0643 | 0.4343 | 0.4923 | 1.3670 | 3.1186 | 0.0235 | 0.2430 | 92.2 | 100.0 |
 | Walker et al | 4.1987 | 2.1153 | 1.6132 | 1.6252 | 17.0861 | 2.1579 | 7.2589 | 68.2 | 75.4 |