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Table S4 Table S4a. Empirical power results for main genetic effect assessment comparing ordinary statistical methods (OLR and OLMM) with family-based methods (AQTDTM, FBAT 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 recessive 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

n

H0 : β1 = 0

H0 : β5 = 0

 

OLR (16) †

AQTDTM (17)

FBAT (18)

OLMM (19)

ALMM (20)

 

HP

SP

HP

SP

HP

SP

HP

SP

HP

SP

100

0.108

-

0.074

0.074

0.075

0.072

0.146

-

0.116

0.09

200

0.155

-

0.104

0.098

0.103

0.101

0.259

-

0.166

0.118

300

0.237

-

0.161

0.128

0.158

0.128

0.359

-

0.236

0.164

400

0.255

-

0.182

0.143

0.178

0.144

0.469

-

0.295

0.18

500

0.357

-

0.226

0.176

0.227

0.175

0.552

-

0.342

0.221

600

0.411

-

0.275

0.206

0.278

0.275

0.605

-

0.417

0.255

Table S4b.Empirical power results for gene-environment effect assessment comparing ordinary statistical methods (OLR and OLMM) with family-based methods (AQTDT M , QBAT-I and ALMM) under homogeneous (HP) and stratified (SP) populations. Each time, n cases were simulated with parameters β 3 = α 7 = 1. Simulations are based on the recessive genetic model. † = number that identifies each model in the paper.

n

H 0 : β 3 = 0

H 0 : β 7 = 0

 

OLR (21) †

AQTDT M (22)

QBAT-I

OLMM (23)

ALMM (24)

 

HP

AP

HP

AP

HP

AP

HP

AP

HP

AP

100

0.099

-

0.067

0.078

0.070

0.065

0.151

-

0.118

0.098

200

0.160

-

0.127

0.111

0.119

0.109

0.252

-

0.180

0.144

300

0.220

-

0.150

0.124

0.130

0.120

0.374

-

0.219

0.155

400

0.296

-

0.215

0.132

0.158

0.129

0.466

 

0.302

0.172

500

0.345

-

0.241

0.160

0.182

0.161

0.535

-

0.342

0.216

600

0.422

-

0.252

0.192

0.201

0.190

0.633

-

0.402

0.260

  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