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Comparison of Similarity Measures for Categorical Data in Hierarchical Clustering

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  • Zdeněk Šulc

    (University of Economics, Prague)

  • Hana Řezanková

    (University of Economics, Prague)

Abstract

This paper deals with similarity measures for categorical data in hierarchical clustering, which can deal with variables with more than two categories, and which aspire to replace the simple matching approach standardly used in this area. These similarity measures consider additional characteristics of a dataset, such as a frequency distribution of categories or the number of categories of a given variable. The paper recognizes two main aims. First, to compare and evaluate the selected similarity measures regarding the quality of produced clusters in hierarchical clustering. Second, to propose new similarity measures for nominal variables. All the examined similarity measures are compared regarding the quality of the produced clusters using the mean ranked scores of two internal evaluation coefficients. The analysis is performed on the generated datasets, and thus, it allows determining in which particular situations a certain similarity measure is recommended for use.

Suggested Citation

  • Zdeněk Šulc & Hana Řezanková, 2019. "Comparison of Similarity Measures for Categorical Data in Hierarchical Clustering," Journal of Classification, Springer;The Classification Society, vol. 36(1), pages 58-72, April.
    • Handle: RePEc:spr:jclass:v:36:y:2019:i:1:d:10.1007_s00357-019-09317-5
    DOI: 10.1007/s00357-019-09317-5
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    References listed on IDEAS

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    1. Isabella Morlini & Sergio Zani, 2012. "A New Class of Weighted Similarity Indices Using Polytomous Variables," Journal of Classification, Springer;The Classification Society, vol. 29(2), pages 199-226, July.
    2. Matthijs J. Warrens, 2016. "Inequalities Between Similarities for Numerical Data," Journal of Classification, Springer;The Classification Society, vol. 33(1), pages 141-148, April.
    3. Trudie Strauss & Michael Johan von Maltitz, 2017. "Generalising Ward’s Method for Use with Manhattan Distances," PLOS ONE, Public Library of Science, vol. 12(1), pages 1-21, January.
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    4. Zdenek Sulc & Jana Cibulkova & Hana Rezankova, 2022. "Nomclust 2.0: an R package for hierarchical clustering of objects characterized by nominal variables," Computational Statistics, Springer, vol. 37(5), pages 2161-2184, November.
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