Table 6. Results for diference in restricted mean survival times (RMST) at 14 days estimand in hospitalized population, when the adjusted estimator uses all six baseline variables fromSection 4.2.3.
Confidence intervals and hypothesis tests are Wald-based. “Effect” denotes the true estimand value; “MSE” denotes mean squared error; “Rel. Eff.” denotes relative efficiency which we approximate as the ratio of the MSE of the estimator under consideration to the MSE of the unadjusted estimator. In each block of four rows, the first two rows involve no treatment effect and the last two rows involve a benefit from treatment.
| Sample Size | Estimator Type | Effect | P(reject H0) | MSE | Bias | Variance | Rel. Eff. |
|---|---|---|---|---|---|---|---|
| 100 | Unadjusted | 0 | 0.011 | 0.781 | 0.018 | 0.780 | 1.000 |
| 100 | Adjusted | 0 | 0.038 | 0.740 | 0.006 | 0.740 | 0.948 |
| 100 | Unadjusted | 1.06 | 0.085 | 0.570 | −0.265 | 0.500 | 1.000 |
| 100 | Adjusted | 1.06 | 0.160 | 0.546 | −0.251 | 0.483 | 0.957 |
| 200 | Unadjusted | 0 | 0.048 | 0.481 | −0.013 | 0.481 | 1.000 |
| 200 | Adjusted | 0 | 0.055 | 0.418 | −0.013 | 0.418 | 0.869 |
| 200 | Unadjusted | 1.06 | 0.326 | 0.328 | −0.145 | 0.307 | 1.000 |
| 200 | Adjusted | 1.06 | 0.397 | 0.293 | −0.123 | 0.278 | 0.893 |
| 500 | Unadjusted | 0 | 0.050 | 0.201 | −0.003 | 0.201 | 1.000 |
| 500 | Adjusted | 0 | 0.052 | 0.164 | −0.005 | 0.164 | 0.814 |
| 500 | Unadjusted | 1.06 | 0.729 | 0.151 | −0.070 | 0.146 | 1.000 |
| 500 | Adjusted | 1.06 | 0.810 | 0.129 | −0.065 | 0.125 | 0.855 |
| 1000 | Unadjusted | 0 | 0.048 | 0.100 | 0.001 | 0.100 | 1.000 |
| 1000 | Adjusted | 0 | 0.045 | 0.079 | 0.001 | 0.079 | 0.793 |
| 1000 | Unadjusted | 1.06 | 0.959 | 0.079 | −0.060 | 0.076 | 1.000 |
| 1000 | Adjusted | 1.06 | 0.986 | 0.065 | −0.058 | 0.061 | 0.819 |