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A consideration of the chi‐square test of Hardy‐Weinberg equilibrium in a non‐multinomial situation

A consideration of the chi‐square test of Hardy‐Weinberg equilibrium in a non‐multinomial situation BY CHARLES F. SING AND EDWARD D. ROTHMAN Departments of Human Genetics and Statistics, University of Michigan, Ann Arbor, Michigan 48104, U.S.A. Deviation from the Hardy-Weinberg proportion of each genotype frequency may be attributable to a number of forces (selection, inbreeding, mutation, migration, subdivision) operating in the population sampled. Smith (1970) has derived estimators of these deviations and discussed the difficulty of sorting out the effects of inbreeding, population subdivision, and silent alleles from the effects selection may have on the frequencies of genotypes. An additional condition which may contribute to deviations from Hardy-Weinberg that has not received adequate attention is non-independent sampling of individuals collected to detect the operation of such forces in a population. For example, the detection of an increase in the frequency of homozygotes and a decrease of heterozygotes in small populations of humans due to inbreeding is an obvious first consideration of the geneticist who is interested in studying the effects of selection on genotype frequencies. However, the correct statement of probability of observing a test statistic computed from the sample usually depends on the assumption that members of the sample are chosen independently of one another. I n this report we investigate http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Annals of Human Genetics Wiley

A consideration of the chi‐square test of Hardy‐Weinberg equilibrium in a non‐multinomial situation

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References (5)

Publisher
Wiley
Copyright
Copyright © 1975 Wiley Subscription Services, Inc., A Wiley Company
ISSN
0003-4800
eISSN
1469-1809
DOI
10.1111/j.1469-1809.1975.tb00116.x
Publisher site
See Article on Publisher Site

Abstract

BY CHARLES F. SING AND EDWARD D. ROTHMAN Departments of Human Genetics and Statistics, University of Michigan, Ann Arbor, Michigan 48104, U.S.A. Deviation from the Hardy-Weinberg proportion of each genotype frequency may be attributable to a number of forces (selection, inbreeding, mutation, migration, subdivision) operating in the population sampled. Smith (1970) has derived estimators of these deviations and discussed the difficulty of sorting out the effects of inbreeding, population subdivision, and silent alleles from the effects selection may have on the frequencies of genotypes. An additional condition which may contribute to deviations from Hardy-Weinberg that has not received adequate attention is non-independent sampling of individuals collected to detect the operation of such forces in a population. For example, the detection of an increase in the frequency of homozygotes and a decrease of heterozygotes in small populations of humans due to inbreeding is an obvious first consideration of the geneticist who is interested in studying the effects of selection on genotype frequencies. However, the correct statement of probability of observing a test statistic computed from the sample usually depends on the assumption that members of the sample are chosen independently of one another. I n this report we investigate

Journal

Annals of Human Genetics – Wiley

Published: Oct 1, 1975

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