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Table 1 Estimated Type I error rates at significant level 0.05 based on the four methods under different parameter settings of the three-component mixture distributions with τ 1  = 0.1, τ 2  = 0.9 and δ μ  = 0.05

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

1

0.3

0.5

0.2

0.3

0.1

0.0513

0.0521

0.0514

0.0458

2

0.4

0.5

0.1

0.2

0.1

0.0495

0.0494

0.0519

0.0492

3

0.4

0.5

0.1

0.3

0.2

0.0511

0.0519

0.0503

0.0495

4

0.5

0.1

0.4

0.3

0.2

0.0528

0.0521

0.0544

0.0511

5

0.4

0.2

0.4

0.2

0.1

0.0509

0.0510

0.0472

0.0464