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. Author manuscript; available in PMC: 2023 Apr 30.
Published in final edited form as: Stat Med. 2022 Jan 24;41(9):1644–1657. doi: 10.1002/sim.9319

TABLE 2.

Estimated Type I error rates for tests of G × E interaction across several parameter settings for a continuously-measured genes (Section 3.2). Each estimate of Type I error is based on the proportion of 10,000 replicate datasets for which the indicated procedure identified at least one statistically significant result (at the 0.05 level) among the 𝑀 = 10,000 genes. For the subset screening step, a filtering statistic of α1 = 0.05 was used. For the weighted Bonferroni test, an initial bin size of B = 5 was used. See Section 3.2 for details on the simulation settings. The Base Model corresponds to the following simulation parameters: γ = (0,log(0.6),0), πE = 0.5, event rate ≈ 40−44%, ΣX = IP, N = 1,000. AR() corresponds to an autoregressive correlation structure with correlation parameter .

Standard Two-Step Methods

mG|𝐺 × 𝐸 cG|𝐺 × 𝐸

GWIS Subset Weighted Subset Weighted

Base Model 0.048 0.084 0.107 0.050 0.047
γE = log(1) 0.051 0.048 0.048 0.049 0.048
γE = log(0.8) 0.046 0.059 0.062 0.051 0.047
γE = log(0.4) 0.051 0.130 0.175 0.052 0.053
γG = log(0.8); 𝛾𝐸 = log(0.8) 0.048 0.057 0.064 0.051 0.054
γG = log(0.8); γE = log(0.6) 0.046 0.080 0.097 0.051 0.052
γG = log(0.6); γE = log(0.8) 0.051 0.056 0.056 0.052 0.052
γG = log(0.6); γE = log(0.6) 0.047 0.070 0.074 0.054 0.049
γG = log(1.2); γE = log(0.6) 0.047 0.083 0.100 0.051 0.051
ΣX = log (0.3) 0.050 0.085 0.108 0.052 0.051
ΣX = log (0.6) 0.054 0.083 0.098 0.054 0.049
πE = 0.4 0.055 0.088 0.102 0.050 0.048
πE = 0.2 0.056 0.074 0.088 0.054 0.052
Event rate ≈ 0.79 0.051 0.108 0.140 0.051 0.052
Event rate ≈ 0.24 0.051 0.059 0.061 0.053 0.050
N = 2,000 0.052 0.084 0.105 0.049 0.049