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Table 2 Estimated powers of the four methods at significant level 0.05 under different parameter settings for the three-component mixture distributions with τ 1  = 0.1, τ 2  = 0.9

From: Age-adjusted nonparametric detection of differential DNA methylation with case-control designs

Parameter Setting

Ï€ 1

Ï€ 2

Ï€ 3

μ

σ

t-test

Linear regression

Wilcox

BWS

δ μ  = 0.03

0.3

0.5

0.2

0.3

0.1

0.475

0.479

0.749

0.836

δ μ  = 0.05

0.3

0.5

0.2

0.3

0.1

0.889

0.892

0.951

0.988

δ τ  = 0.03

0.45

0.1

0.45

0.5

0.05

0.048

0.047

0.078

0.727

δ τ  = 0.06

0.45

0.1

0.45

0.5

0.05

0.048

0.047

0.092

0.877