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Principal axis analysis of gene frequency data
Author(s) -
Majumder Partha P.
Publication year - 1988
Publication title -
american journal of physical anthropology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.146
H-Index - 119
eISSN - 1096-8644
pISSN - 0002-9483
DOI - 10.1002/ajpa.1330760305
Subject(s) - principal component analysis , square (algebra) , statistics , mathematics , allele frequency , data set , set (abstract data type) , chi square test , genetics , biology , gene , allele , computer science , geometry , programming language
When a set of populations are compared in respect of gene frequencies, and the chi‐square test of heterogeneity is found to be significant, it is pertinent to find out whether the heterogeneity can be explained by a few linear combinations of the gene frequencies, and the total heterogeneity chi‐square value can be partitioned as the sum of heterogeneity chi‐square values contributed by the linear combinations. The present report describes such a method, and the linear combination that explains the maximum heterogeneity is called the principal axis. An application of this method is presented to find clusters of 31 Mongoloid tribal populations of eastern India using ABO gene frequency data.