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

Authors:
Matthijs J. Warrens
Affiliations:
Psychometrics and Research Methodology Group, Leiden University Institute for Psychological Research, Leiden University, Leiden, The Netherlands 2300 RB
Venue:
Journal of Classification
Year:
2008

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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.