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Table 1 Estimated type I error rates at significance level 0.05 with 10000 replicates.

From: Detecting differentially methylated loci for Illumina Array methylation data based on human ovarian cancer data

Distribution (sample sizes, parameters) ANOVA median Welch KW
Beta (s = 30,30,30, a = 1,1,1, b = 2,2,2) 0.048 0.040 0.052 0.047
Beta (s = 30,30,30, a = 1,1,1, b = 10,10,10) 0.052 0.044 0.053 0.051
Beta (s = 30,30,30, a = 10,10,10, b = 1,1,1) 0.047 0.044 0.052 0.048
Beta (s = 30,30,30, a = 10,10,10, b = 10,10,10) 0.045 0.045 0.047 0.046
Beta (s = 20,30,40, a = 1,1,1, b = 2,2,2) 0.053 0.052 0.050 0.053
Beta (s = 20,30,40, a = 1,1,1, b = 10,10,10) 0.049 0.049 0.054 0.048
Beta (s = 20,30,40, a = 10,10,10, b = 1,1,1) 0.045 0.049 0.056 0.044
Beta (s = 20,30,40, a = 10,10,10, b = 10,10,10) 0.050 0.051 0.043 0.052
TN (s = 30,30,30, μ = 0.5,0.5, 0.5, σ2 = 0.1,0.1,0.1) 0.050 0.044 0.053 0.045
TN(s = 30,30,30, μ = 0.5, 0.5, 0.5, σ2 = 0.1,0.2,0.3) 0.053 0.067 0.047 0.053
TN (s = 20,30,40, μ = 0.5, 0.5, 0.5, σ2 = 0.1,0.1,0.1) 0.050 0.052 0.052 0.049
TN(s = 20,30,40, μ = 0.5, 0.5, 0.5, σ2 = 0.1,0.2,0.3) 0.047 0.054 0.051 0.043