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Table 2 The simulated powers of the proposed method and the Tsai-Chen’s method at level α =0.05 for multivariate normally distributed data

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

Variance

Sample

Number

δ

Proposed

Tsai-Chen’s

structure

size

of sets

 

method

method

Homo.

n=10

5

0.5

0.117

0.056

  

5

1

0.809

0.298

  

5

1.5

0.991

0.338

Homo.

n=40

5

0.5

0.933

0.660

  

5

1

1.000

0.999

  

5

1.5

1.000

1.000

Homo.

n=10

10

0.5

0.068

0.040

  

10

1

0.703

0.268

  

10

1.5

0.977

0.296

Homo.

n=40

10

0.5

0.890

0.615

  

10

1

1.000

0.996

  

10

1.5

1.000

1.000

Hetero.

n=10

5

0.5

0.147

0.037

  

5

1

0.842

0.188

  

5

1.5

0.997

0.222

Hetero.

n=40

5

0.5

0.959

0.702

  

5

1

1.000

1.000

  

5

1.5

1.000

1.000

Hetero.

n=10

10

0.5

0.090

0.029

  

10

1

0.743

0.164

  

10

1.5

0.988

0.181

Hetero.

n=40

10

0.5

0.920

0.643

  

10

1

1.000

0.999

  

10

1.5

1.000

1.000