Table 2.
Simulated Data and Calculated Values for DR1, DR0a
Covariate Strata |
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Z1 = 0 |
Z1 = 1 |
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Z2 = 0 |
Z2 = 1 |
Z2 = 0 |
Z2 = 1 |
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Z3 = 0 | Z3 = 1 | Z3 = 0 | Z3 = 1 | Z3 = 0 | Z3 = 1 | Z3 = 0 | Z3 = 1 | |
Total no. | 3,960 | 2,040 | 1,890 | 610 | 740 | 260 | 410 | 90 |
p(X = 1|Z) | 0.545 | 0.118 | 0.762 | 0.262 | 0.730 | 0.231 | 0.878 | 0.444 |
p(Y = 1|Z) | 0.2 | 0.1 | 0.3 | 0.2 | 0.3 | 0.2 | 0.5 | 0.4 |
Unexposed (X = 0) | ||||||||
No. | 1,800 | 1,800 | 450 | 450 | 200 | 200 | 50 | 50 |
Y = 1 | 360 | 180 | 135 | 90 | 60 | 40 | 25 | 20 |
Y = 0 | 1,440 | 1,620 | 315 | 360 | 140 | 160 | 25 | 30 |
DR0|Y = 1 | 1.96 | 1.12 | 3.24 | 1.28 | 2.89 | 1.24 | 4.60 | 1.48 |
DR0|Y = 0 | −0.24 | −0.01 | −0.96 | −0.07 | −0.81 | −0.06 | −3.60 | −0.32 |
DR1 | 0.2 | 0.1 | 0.3 | 0.2 | 0.3 | 0.2 | 0.5 | 0.4 |
Exposed (X = 1) | ||||||||
No. | 2,160 | 240 | 1,440 | 160 | 540 | 60 | 360 | 40 |
Y = 1 | 432 | 24 | 432 | 32 | 162 | 12 | 180 | 16 |
Y = 0 | 1,728 | 216 | 1,008 | 128 | 378 | 48 | 180 | 24 |
DR1|Y = 1 | 1.67 | 7.75 | 1.22 | 3.25 | 1.26 | 3.67 | 1.07 | 1.75 |
DR1|Y = 0 | −0.17 | −0.75 | −0.09 | −0.56 | −0.11 | −0.67 | −0.07 | −0.50 |
DR0 | 0.2 | 0.1 | 0.3 | 0.2 | 0.3 | 0.2 | 0.5 | 0.4 |
Abbreviation: DR, doubly robust.
DR0 = estimated value for Y under X = 0 for individual i; DR1 = estimated value for Y under X = 1 for individual i; X = exposure, Y = outcome, Z1−Z3 = covariates.