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

Table 3.

Simulation results comparing one-step (os) and TML (tmle) estimators for the transported interventional indirect and direct effects with those for the nontransported interventional indirect and direct effects.

Effect type Estimator Inline graphic Inline graphic relse relsd relrmse 95%CI Cov
N = 10 000
Transported, indirect effect os 0.0000 0.0030 0.9966 0.9760 0.9755 0.9420
Transported, indirect effect tmle 0.0001 0.0065 0.9895 0.9778 0.9774 0.9400
Nontransported, indirect effect os 0.0000 0.0022 0.9413 1.1722 1.1717 0.9420
Nontransported, indirect effect tmle 0.0000 0.0035 0.9412 1.1690 1.1685 0.9420
Transported, direct effect os 0.0005 0.0490 1.0200 0.9489 0.9488 0.9570
Transported, direct effect tmle 0.0004 0.0415 1.0040 0.9610 0.9608 0.9530
Nontransported, direct effect os 0.0013 0.1344 1.0178 1.1003 1.1074 0.9620
Nontransported, direct effect tmle 0.0014 0.1397 1.0150 1.1033 1.1110 0.9640
N = 1000
Transported, indirect effect os 0.0007 0.0229 0.9010 1.0200 1.0201 0.9041
Transported, indirect effect tmle 0.0006 0.0200 0.8900 1.0209 1.0207 0.8988
Nontransported, indirect effect os 0.0001 0.0045 0.9134 1.1626 1.1622 0.9340
Nontransported, indirect effect tmle 0.0001 0.0042 0.9170 1.1495 1.1490 0.9300
Transported, direct effect os 0.0014 0.0454 1.0200 0.8925 0.8921 0.9591
Transported, direct effect tmle 0.0028 0.0880 0.9702 0.9309 0.9314 0.9414
Nontransported, direct effect os 0.0025 0.0802 1.0212 1.0854 1.0876 0.9540
Nontransported, direct effect tmle 0.0031 0.0968 1.0119 1.0949 1.0984 0.9540