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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