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A note on the estimation of individual admixture

A note on the estimation of individual admixture A note on the estimation of individual admixture BY R. DENNIS COOK AND SANFORD WEISBERG Department of Applied Statistics, University of Minnesota, St Paul, Minnesota 55 101 INTRODUCTION In this note we consider the maximum-likelihood estimation of the proportion (individual admixture) of genes contributed by one of two distinct ancestral populations to an individual who is a member of a distinct hybrid population. The hybrid population is assumed to have been formed by migrants drawn randomly from the ancestral populations over a long period of time. We find that, even under the best possible conditions for estimation, the variability of the estimate will be unacceptably large. The problem of estimating the proportion of genes in the entire hybrid population (group admixture) has been considered (see,for example, Pollitzer (1972) and Reed (1969)).Elston (1971) considered least-squares and maximum-likelihood (ML) estimates of group admixture, which, with some modification, can be applied to the problem of individual admixture. It is assumed that, for each of a number, L, of loci, (1) the allelic forms are known, (2) each possible genotype can be classified according to phenotype, at least two of which must be distinguishable, (3) the frequency of each allele in both http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Human Genetics Wiley

A note on the estimation of individual admixture

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References (3)

Publisher
Wiley
Copyright
Copyright © 1974 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0003-4800
eISSN
1469-1809
DOI
10.1111/j.1469-1809.1974.tb01842.x
Publisher site
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Abstract

A note on the estimation of individual admixture BY R. DENNIS COOK AND SANFORD WEISBERG Department of Applied Statistics, University of Minnesota, St Paul, Minnesota 55 101 INTRODUCTION In this note we consider the maximum-likelihood estimation of the proportion (individual admixture) of genes contributed by one of two distinct ancestral populations to an individual who is a member of a distinct hybrid population. The hybrid population is assumed to have been formed by migrants drawn randomly from the ancestral populations over a long period of time. We find that, even under the best possible conditions for estimation, the variability of the estimate will be unacceptably large. The problem of estimating the proportion of genes in the entire hybrid population (group admixture) has been considered (see,for example, Pollitzer (1972) and Reed (1969)).Elston (1971) considered least-squares and maximum-likelihood (ML) estimates of group admixture, which, with some modification, can be applied to the problem of individual admixture. It is assumed that, for each of a number, L, of loci, (1) the allelic forms are known, (2) each possible genotype can be classified according to phenotype, at least two of which must be distinguishable, (3) the frequency of each allele in both

Journal

Annals of Human Genetics – Wiley

Published: Jan 1, 1974

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