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% |
N_{0}
| 0.602 | 0.408 | 0.226 | 0.140 |

+ \( \frac{1}{10} \) N_{0}
| 0.712(18.3%) | 0.566(38.7%) | 0.272(20.4%) | 0.228(62.9%) | |

+ \( \frac{1}{5} \) N_{0}
| 0.748(24.3%) | 0.674(65.2%) | 0.290(28.3%) | 0.257(83.6%) | |

+ \( \frac{1}{2} \) N_{0}
| 0.784(30.2%) | 0.752(84.3%) | 0.312(38.1%) | 0.304(117%) | |

60% |
N_{0}
| 0.828 | 0.776 | 0.364 | 0.164 |

+ \( \frac{1}{10} \) N_{0}
| 0.938(13.3%) | 0.922(18.8%) | 0.458(25.8%) | 0.310(89.0%) | |

+ \( \frac{1}{5} \) N_{0}
| 0.956(15.5%) | 0.946(21.9%) | 0.506(39.0%) | 0.414(152%) | |

+ \( \frac{1}{2} \) N_{0}
| 0.980(18.4%) | 0.982(26.5%) | 0.587(61.3%) | 0.556(239%) | |

40% |
N_{0}
| 1.00 | 0.980 | 0.264 | 0.178 |

+ \( \frac{1}{10} \) N_{0}
| 1.00 | 1.00 | 0.284(7.58%) | 0.242(34.0%) | |

+ \( \frac{1}{5} \) N_{0}
| 1.00 | 1.00 | 0.308(16.7%) | 0.296(66.3%) | |

+ \( \frac{1}{2} \) N_{0}
| 1.00 | 1.00 | 0.360(36.4%) | 0.350(96.6%) | |

20% |
N_{0}
| 1.00 | 1.00 | 0.278 | 0.166 |

+ \( \frac{1}{10} \) N_{0}
| 1.00 | 1.00 | 0.294(5.76%) | 0.218(31.3%) | |

+ \( \frac{1}{5} \) N_{0}
| 1.00 | 1.00 | 0.315(13.3%) | 0.275(65.7%) | |

+ \( \frac{1}{2} \) N_{0}
| 1.00 | 1.00 | 0.376(35.2%) | 0.330(98.7%) |