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. 1974 Mar;76(3):557–565. doi: 10.1093/genetics/76.3.557

Likelihood Analysis of Recombinational Disequilibrium in Multiple-Locus Gametic Frequencies

Peter E Smouse 1
PMCID: PMC1213085  PMID: 4833576

Abstract

Likelihood methods are developed for the estimation and testing of multiple-locus gametic disequilibria, using log-linear models of parametric effects. The estimates of disquilibrium are related to Kimura's Z-measure, and may be extended to multiple alleles and multiple loci. Likelihood ratio test criteria are constructed, which are asymptotically distributed as χ2. The analysis is partitioned into various components corresponding to two-locus, residual three-locus, and higher order disequilibria. A four-locus example from Hordeum vulgare L. is utilized to illustrate the analysis. Most of the multiple-locus disequilibrium is accounted for by two-locus effects, and closely linked loci show considerably more disequilibrium than unlinked loci. It is shown that all possible pairwise comparisons are not statistically independent.

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Selected References

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  1. Mukai T., Mettler L. E., Chigusa S. I. Linkage disequilibrium in a local population of Drosophila melanogaster. Proc Natl Acad Sci U S A. 1971 May;68(5):1065–1069. doi: 10.1073/pnas.68.5.1065. [DOI] [PMC free article] [PubMed] [Google Scholar]

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