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Table 3 Simulation results on standard errors.

From: Estimation and testing for the effect of a genetic pathway on a disease outcome using logistic kernel machine regression via logistic mixed models

    

Standard Errors of β ^ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafqOSdiMbaKaaaaa@2D86@

 
 

true

used

 

Empirical

Model-based

 

setting

# z

# z

n

SE

SE

ρ

1

5

5

100

0.49

0.48

71.50 (estimated)

    

0.45

0.47

1.00 (fixed)

    

0.48

0.47

20.00 (fixed)

2

5

5

200

0.32

0.32

90.03 (estimated)

    

0.32

0.32

1.00 (fixed)

    

0.33

0.32

20.00 (fixed)

3

5

5

300

0.26

0.26

111.76 (estimated)

    

0.25

0.26

1.00 (fixed)

    

0.26

0.26

20.00 (fixed)

  1. This table shows the simulation study results of standard error estimates of β ^ MathType@MTEF@5@5@+=feaafiart1ev1aaatCvAUfKttLearuWrP9MDH5MBPbIqV92AaeXatLxBI9gBaebbnrfifHhDYfgasaacPC6xNi=xH8viVGI8Gi=hEeeu0xXdbba9frFj0xb9qqpG0dXdb9aspeI8k8fiI+fsY=rqGqVepae9pg0db9vqaiVgFr0xfr=xfr=xc9adbaqaaeGaciGaaiaabeqaaeqabiWaaaGcbaGafqOSdiMbaKaaaaa@2D86@ in model logit(π) = + h(z) for binary outcomes based on 300 simulations.