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Bounds of Resemblance Measures for Binary (Presence/Absence) Variables

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Abstract

Bounds of association coefficients for binary variables are derived using the arithmetic-geometric-harmonic mean inequality. More precisely, it is shown which presence/absence coefficients are bounds with respect to each other. Using the new bounds it is investigated whether a coefficient is in general closer to either its upper or its lower bound.

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Authors and Affiliations

  1. Psychometrics and Research Methodology Group, Leiden University Institute for Psychological Research, Leiden University, Wassenaarseweg 52, P.O. Box 9555, 2300 RB, Leiden, The Netherlands

    Matthijs J. Warrens

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  1. Matthijs J. Warrens
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Correspondence to Matthijs J. Warrens.

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The author would like to thank two anonymous reviewers for their helpful comments and valuable suggestions on earlier versions of this article.

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Warrens, M.J. Bounds of Resemblance Measures for Binary (Presence/Absence) Variables. J Classif 25, 195–208 (2008). https://doi.org/10.1007/s00357-008-9024-6

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  • DOI: https://doi.org/10.1007/s00357-008-9024-6

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