Heterogeneity Coefficients for Mahalanobis' D as a Multivariate Effect Size |
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Authors: | Marco Del Giudice |
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Affiliation: | Department of Psychology, University of New Mexico |
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Abstract: | The Mahalanobis distance D is the multivariate generalization of Cohen's d and can be used as a standardized effect size for multivariate differences between groups. An important issue in the interpretation of D is heterogeneity, that is, the extent to which contributions to the overall effect size are concentrated in a small subset of variables rather than evenly distributed across the whole set. Here I present two heterogeneity coefficients for D based on the Gini coefficient, a well-known index of inequality among values of a distribution. I discuss the properties and limitations of the two coefficients and illustrate their use by reanalyzing some published findings from studies of gender differences. |
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Keywords: | Effect size group differences heterogeneity Mahalanobis distance multivariate |
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