On the testing of Hardy-Weinberg proportions and equality of allele frequencies in males and females at biallelic genetic markers

Standard statistical tests for equality of allele frequencies in males and females and tests for Hardy-Weinberg equilibrium are tightly linked by their assumptions. Tests for equality of allele frequencies assume Hardy-Weinberg equilibrium, whereas the usual chi-square or exact test for Hardy-Weinbe...

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Bibliographic Details
Authors: Graffelman, Jan|||0000-0003-3900-0780, Weir, B.S.
Format: article
Publication Date:2017
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/111053
Online Access:https://hdl.handle.net/2117/111053
https://dx.doi.org/10.1002/gepi.22079
Access Level:Open access
Keyword:Genetic markers--Statistical methods
Akaike's information criterion
Exact test
Inbreeding coefficient
Likelihood ratio test
Ternary diagram
Estadística matemàtica
Marcadors genètics -- Mètodes estadístics
Àrees temàtiques de la UPC::Matemàtiques i estadística::Estadística aplicada
Description
Summary:Standard statistical tests for equality of allele frequencies in males and females and tests for Hardy-Weinberg equilibrium are tightly linked by their assumptions. Tests for equality of allele frequencies assume Hardy-Weinberg equilibrium, whereas the usual chi-square or exact test for Hardy-Weinberg equilibrium assume equality of allele frequencies in the sexes. In this paper, we propose ways to break this interdependence in assumptions of the two tests by proposing an omnibus exact test that can test both hypotheses jointly, as well as a likelihood ratio approach that permits these phenomena to be tested both jointly and separately. The tests are illustrated with data from the 1000 Genomes project.