Table 5 Empirical power results for gene-environment interaction effect assessment comparing ordinary statistical methods (OLR and OLMM) to family-based methods (AQTDTM, QBAT-I and ALMM) under homogeneous (HP) and stratified populations (SP). Each time, n cases were simulated with parameters β3 = α7 = 1. Simulations are based on the additive genetic model. † = number that identifies each model in the paper.
n | H0 : β3 = 0 | H0 : α7 = 0 | ||||||||
|---|---|---|---|---|---|---|---|---|---|---|
Two-step-models | Mixed models | |||||||||
OLR (21) † | AQTDT M (22) | QBAT-I | OLMM (23) | ALMM (24) | ||||||
HP | SP | HP | SP | HP | SP | HP | SP | HP | SP | |
100 | 0.147 | - | 0.094 | 0.098 | 0.091 | 0.080 | 0.234 | - | 0.155 | 0.116 |
200 | 0.282 | - | 0.172 | 0.138 | 0.156 | 0.134 | 0.452 | - | 0.267 | 0.186 |
300 | 0.386 | - | 0.220 | 0.188 | 0.195 | 0.172 | 0.607 | - | 0.347 | 0.242 |
400 | 0.495 | - | 0.289 | 0.251 | 0.256 | 0.216 | 0.731 | - | 0.450 | 0.301 |
500 | 0.589 | - | 0.338 | 0.290 | 0.299 | 0.226 | 0.820 | - | 0.515 | 0.363 |
600 | 0.688 | - | 0.401 | 0.340 | 0.358 | 0.304 | 0.889 | - | 0.620 | 0.414 |
1000 | 0.875 | - | 0.604 | 0.503 | 0.561 | 0.465 | 0.978 | - | 0.794 | 0.618 |