Bounds of Resemblance Measures for Binary (Presence/Absence) Variables |
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| Authors: | Matthijs J Warrens |
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| Institution: | (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 |
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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.
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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| Keywords: | Association coefficients Similarity coefficients 2 × 2 table Minimum value Harmonic mean Geometric mean Arithmetic mean Maximum value |
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