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. 1974 Nov;78(3):943–960. doi: 10.1093/genetics/78.3.943

A Model for Analysis of Population Structure

Edward D Rothman 1,2,3, Charles F Sing 1,2,3, Alan R Templeton 1,2,3
PMCID: PMC1224567  PMID: 4452476

Abstract

Arguments have been presented for the appropriateness of a multinomial Dirichlet distribution for describing single-locus genotypic frequencies in a subdivided population. This distribution is defined as a function of allele frequency, the average (over the entire population) inbreeding coefficient and the correlation between genotypes within a subdivision. Alternative parameterizations and their genetic interpretations are given.—We then show how information from a sample drawn from this subdivided population, in the absence of pedigrees, can be combined with the multinomial Dirichlet model to form a likelihood function. This likelihood function is then used as the basis for estimation and testing hypotheses concerning the genetic parameters of the model. Comparisons of this approach to the alternative procedure of Cockerham (1969) and (1973) are made using human data obtained from Tecumseh, Michigan and Monte Carlo simulations.—Finally, implications of these results to statistical inference and to mutation rates are presented.

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Selected References

These references are in PubMed. This may not be the complete list of references from this article.

  1. Cannings C., Edwards A. W. Expected genotypic frequencies in a small sample: deviation from Hardy-Weinberg equilibrium. Am J Hum Genet. 1969 May;21(3):245–247. [PMC free article] [PubMed] [Google Scholar]

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