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Table 2 Empirical power 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 = 5,5,5,b = 20,25,30

0.821

0.576

0.810

0.775

Beta(s = 30, 30,30, a = 1.5,2,2.5, b = 20,20,20

0.650

0.504

0.648

0.710

Beta (s = 30, 30,30, a = 20,20,20, b = 1.5,2,2.5,

0.658

0.495

0.656

0.713

Beta (s = 20,30,40, a = 5,5,5, b = 20,25,30)

0.792

0.546

0.740

0.735

Beta (s = 20,30,40, a = 1.5,2,2.5, b = 20,20,20)

0.599

0.479

0.634

0.670

Beta (s = 20,30,40, a = 20,20,20, b = 1.5,2,2.5)

0.607

0.475

0.637

0.665

TN (s = 30, 30,30, μ = 0.45,0.5,0.55, σ2 = 0.2)

0.383

0.240

0.378

0.362

TN (s = 30, 30,30, μ = 0.45,0.5,0.55, σ2 = 0.1,0.2,0.3)

0.338

0.325

0.412

0.341

TN (s = 20,30,40, μ = 0.45,0.5,0.55, σ2 = 0.2)

0.349

0.238

0.343

0.328

TN (s = 20,30,40, μ = 0.45,0.5,0.55, σ2 = 0.1,0.2,0.3)

0.219

0.361

0.423

0.259