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[Preprint]. 2020 Jun 11:2020.04.19.20069922. [Version 2] doi: 10.1101/2020.04.19.20069922

Table 5. Results for the ordinal outcome and log-odds ratio (LOR) estimand in the hospitalized population.

BCa bootstrap is used for confidence intervals and hypothesis testing. “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.

n Estimator Type Effect P(reject H0) MSE Bias Variance Rel. Eff.
100 Unadjusted 0 0.045 0.185 0.018 0.185 1.000
100 Adjusted 0 0.046 0.153 0.021 0.152 0.824
100 Unadjusted −0.686 0.270 0.231 0.006 0.231 1.000
100 Adjusted −0.686 0.309 0.196 0.001 0.196 0.848
200 Unadjusted 0 0.041 0.080 0.004 0.081 1.000
200 Adjusted 0 0.029 0.069 0.007 0.069 0.854
200 Unadjusted −0.686 0.554 0.111 0.000 0.111 1.000
200 Adjusted −0.686 0.612 0.096 −0.003 0.096 0.863
500 Unadjusted 0 0.062 0.035 0.002 0.035 1.000
500 Adjusted 0 0.060 0.029 0.000 0.029 0.826
500 Unadjusted −0.408 0.559 0.038 −0.001 0.038 1.000
500 Adjusted −0.408 0.623 0.033 −0.002 0.033 0.869
1000 Unadjusted 0 0.043 0.015 0.000 0.015 1.000
1000 Adjusted 0 0.040 0.013 0.000 0.013 0.851
1000 Unadjusted −0.278 0.583 0.016 0.000 0.016 1.000
1000 Adjusted −0.278 0.613 0.014 0.002 0.014 0.878