### Abstract

The gamete-competition model is an application of the Bradley-Terry model for ranking of sports teams. If allele i of a marker locus is assigned parameter τ(i) > 0, then the probability that a parent with heterozygous genotype i/j transmits allele i is Pr (i/j→i) = τ(i)/(τ(i) + τ(i)). Mendelian segregation corresponds to the choice τ(i) = 1 for all i. To test whether Mendelian segregation is true, one can estimate the τ(i) from pedigree data and perform a likelihood-ratio test under the constraint that one τ(i) equals 1. Although this procedure generates an interesting method for performance of segregation analysis with a marker locus, its real promise lies in generalization of the transmission/disequilibrium test. Quantitative as well as qualitative outcomes can be considered. The gamete-competition model uses full pedigree data and gives an estimate of the strength of transmission distortion to affected children for each allele. Covariates are incorporated by rewriting of τ(i) = exp (β(t)x(k)), where β is a parameter vector and x(k) is a covariate vector for the kth transmitted gamete. Examples of covariates include disease-severity indicators for the child, sex of the child, or repeat number for tandem-repeat alleles.

Original language | English (US) |
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Pages (from-to) | 1168-1172 |

Number of pages | 5 |

Journal | American Journal of Human Genetics |

Volume | 66 |

Issue number | 3 |

DOIs | |

State | Published - Jan 1 2000 |

### ASJC Scopus subject areas

- Genetics
- Genetics(clinical)

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## Cite this

*American Journal of Human Genetics*,

*66*(3), 1168-1172. https://doi.org/10.1086/302826