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. 2023 Apr 22;42(13):2191–2225. doi: 10.1002/sim.9718

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 τ, with corresponding empirical SD (over 1000 simulations). Corresponding bias in the estimates (×104), accompanied by the MC error (×100).

Time τ
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)