Clustering the rows and columns of a contingency table

Journal of Classification volume 5, pages39–51(1988)Cite this article

Abstract

A number of ways of investigating heterogeneity in a two-way contingency table are reviewed. In particular, we consider chi-square decompositions of the Pearson chi-square statistic with respect to the nodes of a hierarchical clustering of the rows and/or the columns of the table. A cut-off point which indicates “significant clustering” may be defined on the binary trees associated with the respective row and column cluster analyses. This approach provides a simple graphical procedure which is useful in interpreting a significant chi-square statistic of a contingency table.

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  1. Department of Statistics, University of South Africa, P.O. Box 392, 0001, Pretoria, South Africa

    Michael J. Greenacre

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  1. Michael J. Greenacre
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The author gratefully acknowledges the constructive comments of the referees and the editor.

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Greenacre, M.J. Clustering the rows and columns of a contingency table. Journal of Classification 5, 39–51 (1988). https://doi.org/10.1007/BF01901670

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Keywords

  • Chi-square statistic
  • Cluster analysis
  • Contingency tables
  • Correspondence analysis
  • Multiple comparisons
  • Wishart distribution