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Estimation and testing of a measure of non‐random mating

Estimation and testing of a measure of non‐random mating Estimation and testing of a measure of non-random mating BY NATHAN MANTEL AND C. C. LI Biometry Branch, ATational Cancer Institute, Bethesda, Haryland 20014 and Department of Biostatistics, Graduate &hod of Public Heulth, University of Pittsburgh,, Pittsburgh, Pennsylvania 1526 1 The Hardy-Weinberg Law expresses the relationship between the expected relative frequencies of genotypes in a population subject to random mating. Let the relative frequencies of the three genotypes GG, Gg, and gg be D , H , and R, D + H + R = 1, so that the frequencies of the alleles G and g are p = D + aH and q = R + 3H respectively. Under random mating D = p 2 , H = 2pq, R = q2 so that D R - $ H 2 = 8 = 0. (1) Where 8 differs from zero non-random mating is occurring and, more generally, we have D = p 2 + 8 , H = 2 ( p q - 8 ) , R = p2+8. Testing whether data are consistent with‘ 8 = 0 and estimating 8 and its sampling variance have received attention by various authors. Haldane (1954)provided an ingenious exact test http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Human Genetics Wiley

Estimation and testing of a measure of non‐random mating

Annals of Human Genetics , Volume 37 (4) – May 1, 1974

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References (21)

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.tb01849.x
Publisher site
See Article on Publisher Site

Abstract

Estimation and testing of a measure of non-random mating BY NATHAN MANTEL AND C. C. LI Biometry Branch, ATational Cancer Institute, Bethesda, Haryland 20014 and Department of Biostatistics, Graduate &hod of Public Heulth, University of Pittsburgh,, Pittsburgh, Pennsylvania 1526 1 The Hardy-Weinberg Law expresses the relationship between the expected relative frequencies of genotypes in a population subject to random mating. Let the relative frequencies of the three genotypes GG, Gg, and gg be D , H , and R, D + H + R = 1, so that the frequencies of the alleles G and g are p = D + aH and q = R + 3H respectively. Under random mating D = p 2 , H = 2pq, R = q2 so that D R - $ H 2 = 8 = 0. (1) Where 8 differs from zero non-random mating is occurring and, more generally, we have D = p 2 + 8 , H = 2 ( p q - 8 ) , R = p2+8. Testing whether data are consistent with‘ 8 = 0 and estimating 8 and its sampling variance have received attention by various authors. Haldane (1954)provided an ingenious exact test

Journal

Annals of Human GeneticsWiley

Published: May 1, 1974

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