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Table 1 The simulated FWERs of the proposed method and the Tsai-Chen’s method at level α =0.05

From: Analysis of high dimensional data using pre-defined set and subset information, with applications to genomic data

Distribution

Variance

Sample

Number

Proposed

Tsai-Chen’s

 

structure

size

of sets

method

method

Normal

Homo.

n=10

5

0.027

0.019

   

10

0.032

0.027

Normal

Homo.

n=40

5

0.047

0.054

   

10

0.047

0.061

Normal

Hetero.

n=10

5

0.036

0.031

   

10

0.044

0.021

Normal

Hetero.

n=40

5

0.038

0.066

   

10

0.052

0.087

Log-Normal

Homo.

n=10

5

0.027

0.018

   

10

0.024

0.022

Log-Normal

Homo.

n=40

5

0.048

0.039

   

10

0.050

0.062

Mix. Normal

Homo.

n=10

5

0.018

0.009

   

10

0.020

0.005

Mix. Normal

Homo.

n=40

5

0.055

0.050

   

10

0.050

0.054

Mix. Normal

Hetero.

n=10

5

0.018

0.003

   

10

0.017

0.003

Mix. Normal

Hetero.

n=40

5

0.058

0.060

   

10

0.049

0.057

Multi. Beta

Var. func. mean

n=10

5

0.033

0.027

   

10

0.031

0.031

Multi. Beta

Var. func. mean

n=40

5

0.043

0.042

   

10

0.053

0.042