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On the assumption of equality of variance‐covariance matrices in the sex and racial diagnosis of human skulls
Author(s) -
Uytterschaut H. T.,
Wilmink F. W.
Publication year - 1983
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.1330600307
Subject(s) - covariance , variance (accounting) , linear discriminant analysis , discriminant , warrant , racial equality , mathematics , statistics , covariance matrix , inequality , analysis of variance , analysis of covariance , econometrics , race (biology) , sociology , computer science , gender studies , mathematical analysis , accounting , artificial intelligence , economics , financial economics , business
Many papers have been devoted to the assumption of equality of variance‐covariance matrices (Σ g ) with respect to the use of discriminant analysis. Most of them concentrate on the “effect” of inequality on the results, in particular on discriminant functions. In the present paper, the assumption of equality of covariances itself was investigated for measures on human skulls. Data for both sexes were compared, as well as data on several racial groups. A likelihood ratio test was used. It was concluded that the equality of Σ g between the sexes and among subraces was not questioned, whereas the results warrant some caution as to the equality of Σ g among the main racial groups.