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Explicit Agreement Extremes for a 2 × 2 Table with Given Marginals

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  • José E. Chacón

    (Universidad de Extremadura)

Abstract

The problem of maximizing (or minimizing) the agreement between clusterings, subject to given marginals, can be formally posed under a common framework for several agreement measures. Until now, it was possible to find its solution only through numerical algorithms. Here, an explicit solution is shown for the case where the two clusterings have two clusters each.

Suggested Citation

  • José E. Chacón, 2021. "Explicit Agreement Extremes for a 2 × 2 Table with Given Marginals," Journal of Classification, Springer;The Classification Society, vol. 38(2), pages 257-263, July.
    • Handle: RePEc:spr:jclass:v:38:y:2021:i:2:d:10.1007_s00357-020-09375-0
    DOI: 10.1007/s00357-020-09375-0
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    References listed on IDEAS

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    1. H. Messatfa, 1992. "An algorithm to maximize the agreement between partitions," Journal of Classification, Springer;The Classification Society, vol. 9(1), pages 5-15, January.
    2. Douglas Steinley & Gretchen Hendrickson & Michael Brusco, 2015. "A Note on Maximizing the Agreement Between Partitions: A Stepwise Optimal Algorithm and Some Properties," Journal of Classification, Springer;The Classification Society, vol. 32(1), pages 114-126, April.
    3. Matthijs Warrens, 2008. "On Similarity Coefficients for 2×2 Tables and Correction for Chance," Psychometrika, Springer;The Psychometric Society, vol. 73(3), pages 487-502, September.
    4. Michael Brusco & Douglas Steinley, 2008. "A Binary Integer Program to Maximize the Agreement Between Partitions," Journal of Classification, Springer;The Classification Society, vol. 25(2), pages 185-193, November.
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    6. Ahmed N. Albatineh & Magdalena Niewiadomska-Bugaj & Daniel Mihalko, 2006. "On Similarity Indices and Correction for Chance Agreement," Journal of Classification, Springer;The Classification Society, vol. 23(2), pages 301-313, September.
    Full references (including those not matched with items on IDEAS)

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