On the Equivalence of Cohen’s Kappa and the Hubert-Arabie Adjusted Rand Index
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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 κ on this fourfold table.
KeywordsCorrection for chance agreement Partitions Clustering method Matching table Simple matching coefficient Similarity indices Resemblance measures
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- SOKAL, R.R., and MICHENER, C.D. (1958), “A Statistical Method for Evaluating Systematic Relationships,” University of Kansas Science Bulletin, 38, 1409–1438.Google Scholar