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Table 4 Results of the four genes in GAW17 data

From: Permutation-based variance component test in generalized linear mixed model with application to multilocus genetic association study

Gene

Method

K

m

The significance levelα

0.05

0.01

0.001

ELAVL4

Permutation

10

2

0.725

0.630

0.395

 

Score

  

0.450

0.240

0.040

 

Mixture (0.50)

  

0.640

0.485

0.335

 

Mixture (0.65)

  

0.690

0.540

0.360

PTK2B

Permutation

18

3

0.600

0.470

0.290

 

Score

  

0.085

0.030

0.000

 

Mixture (0.50)

  

0.515

0.355

0.245

 

Mixture (0.65)

  

0.540

0.405

0.255

PRKCB1

Permutation

20

1

0.550

0.355

0.255

 

Score

  

0.095

0.030

0.005

 

Mixture (0.50)

  

0.430

0.305

0.220

 

Mixture (0.65)

  

0.465

0.315

0.225

SOS2

Permutation

9

2

0.545

0.400

0.235

 

Score

  

0.160

0.030

0.005

 

Mixture (0.50)

  

0.420

0.285

0.165

 

Mixture (0.65)

  

0.450

0.325

0.185

  1. Note: Permutation is the proposed permutation-based LRT, Score is the score-based sequence kernel association test given in Wu, et al. [31] that was originally developed in Lin (1997), Mixture (0.50) and Mixture (0.65) respectively correspond to the asymptotic 0.50:0.50 and 0.65:035 mixtures of chi-square distributions. In the last three columns of the table are the proportion of p-values less than α among the 200 replicates. Here K is the number of SNPs included in the gene, i.e., the number of the random effects contained in the logistic mixed effects model (5) and m is the number of causal SNPs.