Journal of Classification

, Volume 25, Issue 2, pp 195–208 | Cite as

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

  • Matthijs J. Warrens


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.


Association coefficients Similarity coefficients 2 × 2 table Minimum value Harmonic mean Geometric mean Arithmetic mean Maximum value 


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© Springer Science+Business Media, LLC 2008

Authors and Affiliations

  1. 1.Psychometrics and Research Methodology GroupLeiden University Institute for Psychological Research, Leiden UniversityLeidenThe Netherlands

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