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

Table 2.

Simulation results for the transported interventional indirect effect.

Nuisance parameters misspecified Estimator Inline graphic Inline graphic relse relsd relrmse 95%CI Cov
Transported interventional indirect effect
N = 10 000
None os 0.0000 0.0030 0.9966 0.9760 0.9755 0.9420
  tmle 0.0001 0.0065 0.9895 0.9778 0.9774 0.9400
Inline graphic os 0.0003 0.0272 0.9864 0.9445 0.9456 0.9410
  tmle 0.0001 0.0147 0.9734 0.9530 0.9529 0.9370
Inline graphic os 0.0000 0.0004 0.9976 0.9749 0.9744 0.9430
  tmle 0.0000 0.0044 0.9907 0.9768 0.9764 0.9430
Inline graphic os 0.0006 0.0632 0.9610 0.8917 0.9003 0.9390
  tmle 0.0007 0.0668 0.9603 0.8887 0.8983 0.9380
Inline graphic os 0.0020 0.2035 0.9285 1.0709 1.1459 0.9070
  tmle 0.0030 0.2951 0.8061 1.2396 1.3737 0.8410
Inline graphic os 0.0003 0.0324 1.0081 1.0034 1.0051 0.9500
  tmle 0.0001 0.0075 1.0429 0.9652 0.9648 0.9590
Inline graphic os 0.0001 0.0067 0.4870 1.0879 1.0874 0.6850
  tmle 0.0001 0.0099 0.4747 1.1763 1.1759 0.6700
Inline graphic os 0.0000 0.0020 0.9997 0.9714 0.9709 0.9440
  tmle 0.0000 0.0009 0.9919 0.9744 0.9739 0.9440
Inline graphic os 0.0000 0.0026 1.0250 1.0114 1.0109 0.9550
  tmle 0.0001 0.0058 1.0015 1.0259 1.0254 0.9480
Inline graphic os 0.0006 0.0618 0.9375 0.9834 0.9907 0.9400
  tmle 0.0007 0.0696 0.9168 0.9947 1.0040 0.9310
Inline graphic os 0.0007 0.0676 0.9032 0.9399 0.9492 0.9150
  tmle 0.0008 0.0767 0.8996 0.9387 0.9508 0.9150
N = 1000
None os 0.0007 0.0229 0.9010 1.0200 1.0201 0.9041
  tmle 0.0006 0.0200 0.8900 1.0209 1.0207 0.8988
Inline graphic os 0.0013 0.0407 0.8891 0.9901 0.9924 0.8900
  tmle 0.0011 0.0337 0.8729 0.9970 0.9983 0.8880
Inline graphic os 0.0009 0.0293 0.9092 1.0185 1.0194 0.9072
  tmle 0.0008 0.0242 0.8974 1.0193 1.0197 0.8992
Inline graphic os 0.0026 0.0818 0.9025 0.9447 0.9582 0.8992
  tmle 0.0025 0.0797 0.8953 0.9415 0.9543 0.8976
Inline graphic os 0.0017 0.0541 0.8405 1.0920 1.0963 0.8700
  tmle 0.0017 0.0525 0.7671 1.1978 1.2012 0.8440
Inline graphic os 0.0004 0.0120 0.8955 1.0476 1.0468 0.9080
  tmle 0.0008 0.0263 0.9121 1.0109 1.0112 0.8980
Inline graphic os 0.0001 0.0021 0.4870 0.3440 0.3439 0.6850
  tmle 0.0001 0.0031 0.4747 0.3720 0.3719 0.6700
Inline graphic os 0.0008 0.0264 0.8872 1.0328 1.0331 0.8900
  tmle 0.0007 0.0215 0.8655 1.0424 1.0423 0.8800
Inline graphic os 0.0004 0.0114 0.9605 1.0274 1.0265 0.9247
  tmle 0.0003 0.0086 0.9279 1.0450 1.0440 0.9110
Inline graphic os 0.0023 0.0733 0.8522 1.0237 1.0331 0.8973
  tmle 0.0026 0.0831 0.8284 1.0286 1.0410 0.8881
Inline graphic os 0.0020 0.0618 0.8595 0.9285 0.9358 0.8741
  tmle 0.0022 0.0708 0.8492 0.9229 0.9328 0.8741