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Table 2 Bias results for main genetic effect assessment comparing ordinary statistical methods (OLR and OLMM) to family-based methods (AQTDTM and ALMM) under homogeneous (HP) and stratified (SP) populations. Each time, n cases were simulated with parameters β1 = α5 = 0.5. Simulations are based on the additive genetic model. † = number that identifies each model in the paper.

From: Gene-environment interaction tests for family studies with quantitative phenotypes: A review and extension to longitudinal measures

 

Two-step models

Mixed models

n

β ^ 1 - β 1

α ^ 5 - α 5

 

OLR (16) †

AQTDT M (17)

OLMM (19)

ALMM (20)

 

HP

SP

HP

SP

HP

SP

HP

SP

100

-0.003

-0.356

-0.008

-0.017

-0.013

-0.360

-0.018

-0.026

200

-0.005

-0.356

-0.026

-0.035

-0.011

-0.350

-0.017

-0.027

300

0.008

-0.362

0.01

0.014

-0.002

-0.361

0.004

0.017

400

-0.006

-0.356

-0.005

0.005

0.001

-0.356

-0.004

0.008

500

0.005

-0.351

0.005

0.009

0.006

-0.351

0.006

0.003

600

-0.001

-0.355

0.006

0.002

0.000

-0.356

0.001

0.000

1000

-0.001

-0.363

-0.006

-0.008

-0.001

-0.364

-0.005

-0.007

  1. OLR, ordinary linear regression; OLMM, ordinary linear mixed models; ALMM, adjusted linear mixed models; AQTDTM, adjusted quantitative transmission disequilibrium test with mating type indicators