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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