Minimum adjusted Rand index for two clusterings of a given size

José E. Chacón () and Ana I. Rastrojo
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José E. Chacón: Universidad de Extremadura
Ana I. Rastrojo: Departamento de Matemáticas

Advances in Data Analysis and Classification, 2023, vol. 17, issue 1, No 7, 125-133

Abstract: Abstract The adjusted Rand index (ARI) is commonly used in cluster analysis to measure the degree of agreement between two data partitions. Since its introduction, exploring the situations of extreme agreement and disagreement under different circumstances has been a subject of interest, in order to achieve a better understanding of this index. Here, an explicit formula for the lowest possible value of the ARI for two clusterings of given sizes is shown, and moreover a specific pair of clusterings achieving such a bound is provided.

Keywords: Adjusted Rand index; External clustering evaluation; Minimum agreement; Primary 62H30; Secondary 62H17 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s11634-022-00491-w

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