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Table 3 Estimated type I errors for the permutation test of no treatment effect compared to GEE

From: Gene set analysis for longitudinal gene expression data

distribution

n1

n2

G

permutation NP

GEE

Normal

5

6

20

0.041

0.097

 

25

25

20

0.055

0.058

 

45

50

20

0.047

0.056

 

5

6

50

0.045

0.105

 

25

25

50

0.058

0.053

 

45

50

50

0.046

0.044

 

5

6

100

0.033

0.087

 

25

25

100

0.053

0.058

 

45

50

100

0.047

0.045

Poisson

5

6

20

0.040

0.096

 

25

25

20

0.058

0.055

 

45

50

20

0.058

0.049

 

5

6

50

0.041

0.109

 

25

25

50

0.058

0.061

 

45

50

50

0.052

0.062

 

5

6

100

0.028

0.075

 

25

25

100

0.053

0.063

 

45

50

100

0.050

0.048

Exponential

5

6

20

0.040

0.101

 

25

25

20

0.046

0.070

 

45

50

20

0.047

0.062

 

5

6

50

0.041

0.083

 

25

25

50

0.048

0.056

 

45

50

50

0.052

0.051

 

5

6

100

0.041

0.087

 

25

25

100

0.046

0.053

 

45

50

100

0.044

0.059

  1. The data from different genes and repeated measurements from the same gene have AR(1) correlation with correlation coefficient 0.5. The n1 and n2 are the sample sizes for treatment groups 1 and 2, respectively. G is the number of genes in the gene set. The estimate is at 0.05 level.