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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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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DOI: https://doi.org/10.1007/BF01901670