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. 2021 Feb 2;23(3):789–806. doi: 10.1093/biostatistics/kxaa057

Table 1.

Simulation results for the transported interventional direct effect.

Nuisance parameters misspecified Estimator Inline graphic Inline graphic relse relsd relrmse 95%CI Cov
Transported interventional direct effect
N = 10 000
None os 0.0005 0.0490 1.0200 0.9489 0.9488 0.9570
  tmle 0.0004 0.0415 1.0040 0.9610 0.9608 0.9530
Inline graphic os 0.0005 0.0519 1.0023 0.8226 0.8227 0.9570
  tmle 0.0003 0.0312 0.9577 0.8579 0.8576 0.9460
Inline graphic os 0.0005 0.0480 1.0213 0.9481 0.9480 0.9580
  tmle 0.0004 0.0408 1.0055 0.9600 0.9598 0.9520
Inline graphic os 0.0002 0.0156 1.0097 0.9431 0.9427 0.9520
  tmle 0.0003 0.0301 0.9878 0.9602 0.9599 0.9460
Inline graphic os 0.0885 8.8488 0.7750 1.4727 5.2339 0.0250
  tmle 0.0348 3.4814 1.0656 1.0154 2.2215 0.5580
Inline graphic os 0.0024 0.2382 1.0889 0.8724 0.8824 0.9640
  tmle 0.0021 0.2134 1.0809 0.8788 0.8867 0.9640
Inline graphic os 0.0047 0.4739 1.0460 0.9615 0.9979 0.9470
  tmle 0.0107 1.0661 0.9908 1.0007 1.1690 0.9070
Inline graphic os 0.0053 0.5285 0.9400 0.9405 0.9867 0.9230
  tmle 0.0053 0.5262 0.9249 0.9530 0.9983 0.9150
Inline graphic os 0.0005 0.0499 1.0213 0.9476 0.9476 0.9570
  tmle 0.0004 0.0421 1.0028 0.9621 0.9619 0.9520
Inline graphic os 0.0023 0.2293 0.8924 0.7159 0.7272 0.9140
  tmle 0.0019 0.1889 0.8519 0.7465 0.7538 0.9020
Inline graphic os 0.0023 0.2321 0.8914 0.7165 0.7281 0.9140
  tmle 0.0019 0.1904 0.8548 0.7438 0.7513 0.9030
N = 1000
None os 0.0014 0.0454 1.0200 0.8925 0.8921 0.9591
  tmle 0.0028 0.0880 0.9702 0.9309 0.9314 0.9414
Inline graphic os 0.0003 0.0104 1.0340 0.7691 0.7683 0.9600
  tmle 0.0021 0.0648 0.9648 0.8190 0.8190 0.9460
Inline graphic os 0.0019 0.0617 1.0167 0.8958 0.8957 0.9520
  tmle 0.0032 0.1009 0.9697 0.9317 0.9327 0.9424
Inline graphic os 0.0036 0.1134 1.0131 0.8855 0.8871 0.9520
  tmle 0.0049 0.1550 0.9611 0.9252 0.9286 0.9440
Inline graphic os 0.0672 2.1252 0.7993 1.3098 1.7796 0.7560
  tmle 0.0280 0.8862 1.0124 0.9771 1.0981 0.9300
Inline graphic os 0.0073 0.2303 1.1242 0.8149 0.8245 0.9620
  tmle 0.0070 0.2202 1.0994 0.8315 0.8400 0.9620
Inline graphic os 0.0047 0.1499 1.0460 0.3041 0.3156 0.9470
  tmle 0.0107 0.3371 0.9908 0.3164 0.3697 0.9070
Inline graphic os 0.0106 0.3362 0.9735 0.8614 0.8814 0.9420
  tmle 0.0101 0.3186 0.9234 0.8993 0.9164 0.9180
Inline graphic os 0.0009 0.0295 1.0304 0.8827 0.8819 0.9589
  tmle 0.0021 0.0668 0.9857 0.9152 0.9150 0.9498
Inline graphic os 0.0030 0.0949 0.9553 0.6643 0.6657 0.9315
  tmle 0.0013 0.0424 0.9141 0.6898 0.6895 0.9224
Inline graphic os 0.0019 0.0591 0.9533 0.6663 0.6664 0.9291
  tmle 0.0001 0.0034 0.9044 0.6981 0.6974 0.9222