Table 4 Empirical power at the 0.05 significance level for Ω0 + I + II in the homogenous population
From: Rare variant association analysis in case-parents studies by allowing for missing parental genotypes
Causal variants have different effects with the same direction | Causal variants have opposite effects | ||||
|---|---|---|---|---|---|
Non-causal variants | Sample size (N)a | \( {TDT}_{\mathrm{BRV}} \) | \( {\tilde{Z}}_C \) | \( {TDT}_{\mathrm{BRV}} \) | \( {\tilde{Z}}_C \) |
80% | N0 | 0.602 | 0.408 | 0.226 | 0.140 |
+ \( \frac{1}{10} \) N0 | 0.709(17.8%) | 0.560(37.3%) | 0.271(19.9%) | 0.224(60.0%) | |
+ \( \frac{1}{5} \) N0 | 0.740(22.9%) | 0.668(63.7%) | 0.282(24.8%) | 0.250(78.6%) | |
+ \( \frac{1}{2} \) N0 | 0.778(29.2%) | 0.749(83.6%) | 0.311(37.6%) | 0.304(117%) | |
60% | N0 | 0.828 | 0.776 | 0.364 | 0.164 |
+ \( \frac{1}{10} \) N0 | 0.930(12.3%) | 0.918(18.3%) | 0.456(25.3%) | 0.302(84.1%) | |
+ \( \frac{1}{5} \) N0 | 0.949(14.6%) | 0.941(21.3%) | 0.490(34.6%) | 0.410(150%) | |
+ \( \frac{1}{2} \) N0 | 0.971(17.3%) | 0.972(25.3%) | 0.581(59.6%) | 0.551(236%) | |
40% | N0 | 1.00 | 0.982 | 0.264 | 0.178 |
+ \( \frac{1}{10} \) N0 | 1.00 | 1.00 | 0.279(5.7%) | 0.230(29.2%) | |
+ \( \frac{1}{5} \) N0 | 1.00 | 1.00 | 0.308(16.7%) | 0.290(62.9%) | |
+ \( \frac{1}{2} \) N0 | 1.00 | 1.00 | 0.345(30.7%) | 0.340(91.0%) | |
20% | N0 | 1.00 | 1.00 | 0.278 | 0.166 |
+ \( \frac{1}{10} \) N0 | 1.00 | 1.00 | 0.292(5.04%) | 0.210(26.5%) | |
+ \( \frac{1}{5} \) N0 | 1.00 | 1.00 | 0.315(13.3%) | 0.260(56.6%) | |
+ \( \frac{1}{2} \) N0 | 1.00 | 1.00 | 0.370(33.1%) | 0.321(93.3%) | |