On the Equivalence of Cohen's Kappa and the Hubert-Arabie Adjusted Rand Index

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

It is shown that one can calculate the Hubert-Arabie adjusted Rand index by first forming the fourfold contingency table counting the number of pairs of objects that were placed in the same cluster in both partitions, in the same cluster in one partition but in different clusters in the other partition, and in different clusters in both, and then computing Cohen's 驴 on this fourfold table.