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}
| 0.702(16.6%) | 0.551(35.1%) | 0.269(19.0%) | 0.218(55.7%) | |

+ \( \frac{1}{5} \) N_{0}
| 0.732(21.6%) | 0.660(61.8%) | 0.278(23.0%) | 0.241(72.1%) | |

+ \( \frac{1}{2} \) N_{0}
| 0.770(27.9%) | 0.745(82.6%) | 0.309(36.7%) | 0.300(114%) | |

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

+ \( \frac{1}{10} \) N_{0}
| 0.920(9.20%) | 0.911(17.4%) | 0.454(24.7%) | 0.310(89.0%) | |

+ \( \frac{1}{5} \) N_{0}
| 0.941(13.6%) | 0.936(20.6%) | 0.482(32.4%) | 0.406(147%) | |

+ \( \frac{1}{2} \) N_{0}
| 0.963(16.3%) | 0.960(23.7%) | 0.575(58.0%) | 0.542(230%) | |

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

+ \( \frac{1}{10} \) N_{0}
| 1.00 | 1.00 | 0.277(4.92%) | 0.231(29.8%) | |

+ \( \frac{1}{5} \) N_{0}
| 1.00 | 1.00 | 0.300(13.6%) | 0.286(60.7%) | |

+ \( \frac{1}{2} \) N_{0}
| 1.00 | 1.00 | 0.348(31.8%) | 0.339(90.4%) | |

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

+ \( \frac{1}{10} \) N_{0}
| 1.00 | 1.00 | 0.289(3.96%) | 0.204(22.9%) | |

+ \( \frac{1}{5} \) N_{0}
| 1.00 | 1.00 | 0.310(11.5%) | 0.262(57.8%) | |

+ \( \frac{1}{2} \) N_{0}
| 1.00 | 1.00 | 0.368(32.4%) | 0.320(92.8%) |