Generalized Cramér's coefficient via f-divergence for contingency tables

04/25/2022

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by   Wataru Urasaki, et al.

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This study proposes measures describing the strength of association between the row and column variables via the f-divergence. Cramér's coefficient is a possible mechanism for the analysis of two-way contingency tables. Tomizawa et al. (2004) proposed more general measures, including Cramér's coefficient, using the power-divergence. In this paper, we propose more general measures and show some of their properties, demonstrating that the proposed measures are beneficial for comparing the strength of association in several tables.