Table 1.
Results from the first simulation study. Bias is 100 times the Monte Carlo mean minus true parameter value, SD is 100 times the Monte Carlo standard deviation, Cov is the Monte Carlo coverage probability times 100.
| IPW | CM | MR | |||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|
| qt | Estimand | Misspec. | Bias | SD | Cov | Bias | SD | Cov | Bias | SD | Cov |
| 0 | β3 = 6.69 | None | −1.6 | 27.7 | 92.6 | 0.1 | 16.4 | 95.1 | −0.1 | 16.8 | 94.3 |
| C3 & B4 | −1.6 | 27.7 | 92.6 | −48.8 | 16.2 | 14.4 | −0.6 | 30.7 | 93.8 | ||
| All | −52.2 | 17.7 | 15.8 | −48.8 | 16.4 | 14.4 | −48.9 | 16.2 | 15.4 | ||
| β4 = 8.61 | None | −1.3 | 28.5 | 91.5 | 0.2 | 16.4 | 95.4 | 0.3 | 16.8 | 95.5 | |
| C3 & B4 | −52.1 | 18.4 | 18.7 | 0.2 | 16.4 | 95.4 | 0.3 | 16.4 | 95.4 | ||
| All | −52.1 | 18.4 | 18.7 | −47.6 | 16.4 | 18.3 | −46.7 | 16.2 | 19.4 | ||
| −0.5Yt | β3 = 6.99 | None | −0.4 | 28.5 | 93.0 | −2.3 | 22.0 | 89.5 | 1.0 | 17.9 | 95.0 |
| C3 & B4 | −0..4 | 28.5 | 93.0 | −86.2 | 29.5 | 11.6 | 0.7 | 44.1 | 92.9 | ||
| All | −82.1 | 19.4 | 1.0 | −86.2 | 29.5 | 11.6 | −77.3 | 17.9 | 0.9 | ||
| β4 = 8.87 | None | −0.7 | 27.6 | 92.2 | −4.0 | 23.9 | 94.1 | 1.2 | 17.3 | 94.9 | |
| C3 & B4 | −81.3 | 20.2 | 2.2 | −4.0 | 23.9 | 94.1 | −1.0 | 18.8 | 94.1 | ||
| All | −81.3 | 20.2 | 2.2 | −86.9 | 34.7 | 15.2 | −74.6 | 18.3 | 1.4 | ||
IPW, inverse probability weighted estimator; CM, conditional mean imputation estimator; MR, 2T-multiply robust estimator; None, no model misspecification; C3 & B4, misspecification of models C3 and B4; All, misspecification of Ct and Bt for each t.