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Table 6 Estimated power of the tests under Setting 3, where n is the sample size and \(\eta\) indicates the order of taxon

From: Accommodating multiple potential normalizations in microbiome associations studies

  

None

Rarefaction

TSS

CSS

Omnibus

\(n=500\)

\(\eta = 14\)

0.975

0.965

0.966

0.719

0.966

 

\(\eta = 15\)

0.921

0.905

0.910

0.647

0.909

 

\(\eta = 16\)

0.880

0.864

0.871

0.591

0.871

\(n=400\)

\(\eta = 14\)

0.947

0.929

0.930

0.655

0.931

 

\(\eta = 15\)

0.897

0.881

0.886

0.607

0.883

 

\(\eta = 16\)

0.833

0.824

0.828

0.493

0.830

\(n=300\)

\(\eta = 14\)

0.894

0.875

0.881

0.563

0.876

 

\(\eta = 15\)

0.824

0.812

0.819

0.470

0.820

 

\(\eta = 16\)

0.806

0.797

0.804

0.375

0.804

  1. The two highest powers are in bold