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. 2023 Jun 26;42(19):3529–3546. doi: 10.1002/sim.9818

TABLE 1.

Summary of simulation parameters included in each simulation setting.

Simulation setting Total sample size Covariate prevalence α
βT
βX
βTX
Stratification error rate Errors across strata Error discovery rate Error discovery across treatment groups Number of scenarios
Effect of stratification errors on correlation between treatment groups (Section 2.1) 1000 0.5 0 0 1, 3 0 0%, 5%, 10%, 15%, 20%, 25%, 30%, 35%, 40% Equal 100% N/A 18
Estimating treatment effects when all stratification errors are discovered (Section 2.2) 1000 0.5 0 0, 0.2 1, 3 0 1%, 20% Equal, Unequal (three times higher in one stratum) 100% N/A 16
Reference case: Estimating treatment effects when there are no stratification errors (Section 2.2) 1000 0.5 0 0, 0.2 1, 3 0 0% N/A N/A N/A 4
Estimating treatment effects when only some stratification errors are discovered (Section 2.3) 1000 0.5 0 0, 0.2 1, 3 0 1%, 20% Equal, Unequal (three times higher in one stratum) 50% Equal, Unequal (three times higher in one group) 32
Estimating treatment by covariate interaction effects when all stratification errors are discovered (Section 2.4) 1000 0.5 0 0, 0.1, 0.2 1 0.4 (when βT=0), 0.2 (when βT=0.1), 0 (when βT=0.2) 1%, 20% Equal, Unequal (three times higher in one stratum) 100% N/A 12
Estimating treatment by covariate interaction effects when only some stratification errors are discovered (Section 2.4) 1000 0.5 0 0, 0.1, 0.2 1 0.4 (when βT=0), 0.2 (when βT=0.1), 0 (when βT=0.2) 1%, 20% Equal, Unequal (three times higher in one stratum) 50% Equal, Unequal (three times higher in one group) 24
Sensitivity simulations: Estimating treatment effects when only some stratification errors are discovered (Section 2.5) 200, 1000 0.5 (when n = 200), 0.75 (when n = 1000) 0 0 3 0 20% Equal, Unequal (three times higher in one stratum a ) 50% Equal, Unequal (three times higher in one group) 8
Sensitivity simulations: Estimating treatment by covariate interaction effects when only some stratification errors are discovered (Section 2.5) 200, 1000 0.5 (when n = 200), 0.75 (when n = 1000) 0 0 1 0.4 20% Equal, Unequal (three times higher in one stratum a ) 50% Equal, Unequal (three times higher in one group) 8
a

When the covariate prevalence was 0.75, the error rate was three times higher in the more common stratum.