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. 2015 Jul 29;17(1):165–177. doi: 10.1093/biostatistics/kxv028

Table 3.

Simulation results. Estimates taken over 1000 generated datasets. Each dataset has Inline graphic observations. True values for the intercept and the coefficient of Inline graphic are Inline graphic and Inline graphic, respectively

Intercept
Coefficient
Method MSE Bias SE % Coverage MSE Bias SE % Coverage
Correct censoring and outcome model variables
IPCW 13.6 1.4 119.6 95.9 25.3 1.1 169.6 96.0
SAR 13.5 2.7 108.9 93.5 24.5 Inline graphic1.1 152.5 94.7
TMLE-BIN 13.3 1.7 110.6 94.7 24.3 0.8 154.3 95.3
Misspecified censoring, correct outcome model variables
IPCW 18.0 Inline graphic74.0 110.2 89.7 29.1 Inline graphic66.0 158.2 93.7
SAR 12.8 1.9 104.7 94.0 23.7 0.0 150.6 94.7
TMLE-BIN 12.6 2.6 104.7 94.7 23.6 Inline graphic2.1 150.6 94.4
Misspecified outcome, correct censoring model variables
IPCW 13.6 1.4 119.6 95.9 25.3 1.1 169.6 96.0
SAR 13.8 9.6 111.8 94.9 25.5 Inline graphic2.5 155.7 94.6
TMLE-BIN 13.6 Inline graphic0.2 114.6 94.9 24.9 3.3 158.9 95.3
Misspecified censoring and outcome model variables
IPCW 18.0 Inline graphic74.0 110.2 89.7 29.1 Inline graphic66.0 158.2 92.7
SAR 14.5 Inline graphic38.1 105.1 91.1 23.6 9.5 151.0 94.6
TMLE-BIN 25.6 Inline graphic117.0 106.4 80.5 23.3 24.5 152.1 94.6
TMLE-SL(all) 12.6 Inline graphic11.4 100.8 92.9 23.4 9.2 143.9 93.7
TMLE-SL(adapt) 13.6 Inline graphic32.4 96.4 89.1 23.4 14.1 136.5 92.1
TMLE-SL(par) 12.7 Inline graphic11.3 104.7 93.9 23.5 7.5 150.4 94.7

All values (except coverage) are given as Inline graphic.

MSE: mean squared error; SE: the square-root of the mean sandwich estimator variance; TMLE-BIN:TMLE with logistic regressions for censoring and outcome models; TMLE-SL: TMLE with Super Learner, (all) with the complete SL library, (adapt) with only main terms logistic regression in addition to the adaptive methods, and (par) with only logistic regression implementations.