TABLE 3.
Simulation results: Estimated survival probabilities (“Est”) under the “always treated” (S1) and “never treated” (S0) regimes and risk difference (RD) (mean over 1000 simulations) at time , with corresponding empirical SD (over 1000 simulations). Corresponding bias in the estimates (), accompanied by the MC error ().
| Time | ||||||
|---|---|---|---|---|---|---|
| 1 | 2 | 3 | 4 | 5 | ||
| MSM‐IPTW: scenario 1 | ||||||
| S1 | Est (SD) | 0.854 (0.021) | 0.738 (0.027) | 0.644 (0.030) | 0.566 (0.031) | 0.498 (0.031) |
| Bias (MC error) | 0.170 (0.066) | 0.166 (0.084) | 0.229 (0.094) | 0.223 (0.097) | 0.189 (0.099) | |
| S0 | Est (SD) | 0.819 (0.015) | 0.671 (0.019) | 0.547 (0.024) | 0.445 (0.029) | 0.361 (0.033) |
| Bias (MC error) | 0.002 (0.047) | 0.114 (0.061) | 0.100 (0.076) | 0.137 (0.091) | 0.098 (0.105) | |
| RD | Est (SD) | 0.034 (0.026) | 0.067 (0.033) | 0.097 (0.040) | 0.121 (0.044) | 0.138 (0.047) |
| Bias (MC error) | 0.168 (0.082) | 0.053 (0.106) | 0.129 (0.126) | 0.086 (0.139) | 0.092 (0.148) | |
| Sequential trials: scenario 1 | ||||||
| S1 | Est (SD) | 0.853 (0.015) | 0.736 (0.019) | 0.641 (0.022) | 0.563 (0.024) | 0.496 (0.027) |
| Bias (MC error) | 0.068 (0.047) | 0.010 (0.059) | 0.068 (0.068) | 0.086 (0.076) | 0.037 (0.085) | |
| S0 | Est (SD) | 0.819 (0.010) | 0.669 (0.017) | 0.544 (0.025) | 0.442 (0.033) | 0.359 (0.044) |
| Bias (MC error) | 0.043 (0.031) | 0.085 (0.054) | 0.202 (0.079) | 0.191 (0.105) | 0.076 (0.140) | |
| RD | Est (SD) | 0.034 (0.018) | 0.067 (0.027) | 0.097 (0.036) | 0.121 (0.044) | 0.137 (0.055) |
| Bias (MC error) | 0.111 (0.058) | 0.094 (0.085) | 0.134 (0.112) | 0.105 (0.140) | 0.039 (0.173) | |
| MSM‐IPTW: scenario 2 | ||||||
| S1 | Est (SD) | 0.855 (0.049) | 0.739 (0.063) | 0.648 (0.071) | 0.573 (0.072) | 0.506 (0.074) |
| Bias (MC error) | 0.333 (0.154) | 0.343 (0.199) | 0.569 (0.224) | 0.934 (0.227) | 0.933 (0.233) | |
| S0 | Est (SD) | 0.819 (0.012) | 0.671 (0.015) | 0.547 (0.016) | 0.445 (0.018) | 0.361 (0.018) |
| Bias (MC error) | 0.018 (0.039) | 0.123 (0.048) | 0.133 (0.052) | 0.112 (0.055) | 0.077 (0.056) | |
| RD | Est (SD) | 0.036 (0.050) | 0.069 (0.065) | 0.100 (0.073) | 0.128 (0.075) | 0.145 (0.077) |
| Bias (MC error) | 0.315 (0.159) | 0.219 (0.206) | 0.436 (0.231) | 0.823 (0.237) | 0.856 (0.243) | |
| Sequential trials: scenario 2 | ||||||
| S1 | Est (SD) | 0.852 (0.026) | 0.735 (0.036) | 0.640 (0.042) | 0.564 (0.048) | 0.498 (0.056) |
| Bias (MC error) | 0.032 (0.083) | 0.125 (0.112) | 0.162 (0.132) | 0.038 (0.150) | 0.195 (0.178) | |
| S0 | Est (SD) | 0.819 (0.007) | 0.669 (0.012) | 0.544 (0.017) | 0.442 (0.020) | 0.359 (0.024) |
| Bias (MC error) | 0.030 (0.023) | 0.088 (0.039) | 0.184 (0.052) | 0.189 (0.063) | 0.128 (0.075) | |
| RD | Est (SD) | 0.033 (0.027) | 0.066 (0.038) | 0.096 (0.046) | 0.122 (0.053) | 0.140 (0.062) |
| Bias (MC error) | 0.001 (0.086) | 0.036 (0.122) | 0.022 (0.145) | 0.227 (0.168) | 0.324 (0.197) | |
| MSM‐IPTW: scenario 3 | ||||||
| S1 | Est (SD) | 0.852 (0.023) | 0.736 (0.034) | 0.642 (0.042) | 0.564 (0.046) | 0.497 (0.049) |
| Bias (MC error) | 0.013 (0.074) | 0.044 (0.108) | 0.007 (0.134) | 0.005 (0.146) | 0.001 (0.154) | |
| S0 | Est (SD) | 0.820 (0.018) | 0.674 (0.040) | 0.558 (0.056) | 0.460 (0.067) | 0.382 (0.072) |
| Bias (MC error) | 0.100 (0.056) | 0.478 (0.125) | 1.165 (0.178) | 1.631 (0.213) | 2.181 (0.229) | |
| RD | Est (SD) | 0.032 (0.033) | 0.062 (0.065) | 0.084 (0.086) | 0.104 (0.097) | 0.115 (0.103) |
| Bias (MC error) | 0.087 (0.106) | 0.434 (0.204) | 1.172 (0.271) | 1.626 (0.307) | 2.180 (0.327) | |
| Sequential trials: scenario 3 | ||||||
| S1 | Est (SD) | 0.853 (0.017) | 0.736 (0.027) | 0.642 (0.044) | 0.564 (0.060) | 0.497 (0.060) |
| Bias (MC error) | 0.046 (0.053) | 0.005 (0.087) | 0.021 (0.138) | 0.079 (0.189) | 0.077 (0.191) | |
| S0 | Est (SD) | 0.819 (0.013) | 0.672 (0.036) | 0.554 (0.063) | 0.458 (0.080) | 0.383 (0.091) |
| Bias (MC error) | 0.005 (0.041) | 0.215 (0.115) | 0.775 (0.198) | 1.427 (0.254) | 2.344 (0.287) | |
| RD | Est (SD) | 0.033 (0.024) | 0.064 (0.058) | 0.088 (0.098) | 0.106 (0.126) | 0.114 (0.133) |
| Bias (MC error) | 0.051 (0.076) | 0.211 (0.182) | 0.754 (0.309) | 1.347 (0.399) | 2.267 (0.420) | |