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Tomizawa et al. (2004) proposed more general measures, including Cram\u00e9r\u2019s coefficient, using the power-divergence. In this paper, we propose measures using the <jats:italic>f<\/jats:italic>-divergence that has a wider class than the power-divergence. Unlike statistical hypothesis tests, these measures provide quantification of the association structure in contingency tables. The contribution of our study is proving that a measure applying a function that satisfies the condition of the <jats:italic>f<\/jats:italic>-divergence has desirable properties for measuring the strength of association in contingency tables. With this contribution, we can easily construct a new measure using a divergence that has essential properties for the analyst. For example, we conducted numerical experiments with a measure applying the <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\theta$$<\/jats:tex-math><mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\n                  <mml:mi>\u03b8<\/mml:mi>\n                <\/mml:math><\/jats:alternatives><\/jats:inline-formula>-divergence. Furthermore, we can give further interpretation of the association between the row and column variables in the contingency table, which could not be obtained with the conventional one. We also show a relationship between our proposed measures and the correlation coefficient in a bivariate normal distribution of latent variables in the contingency tables.<\/jats:p>","DOI":"10.1007\/s11634-023-00560-8","type":"journal-article","created":{"date-parts":[[2023,10,5]],"date-time":"2023-10-05T11:01:29Z","timestamp":1696503689000},"page":"893-910","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Generalized Cram\u00e9r\u2019s coefficient via f-divergence for contingency tables"],"prefix":"10.1007","volume":"18","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0155-4294","authenticated-orcid":false,"given":"Wataru","family":"Urasaki","sequence":"first","affiliation":[]},{"given":"Tomoyuki","family":"Nakagawa","sequence":"additional","affiliation":[]},{"given":"Tomotaka","family":"Momozaki","sequence":"additional","affiliation":[]},{"given":"Sadao","family":"Tomizawa","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2023,10,5]]},"reference":[{"key":"560_CR1","volume-title":"Categorical data analysis","author":"A Agresti","year":"2003","unstructured":"Agresti A (2003) Categorical data analysis. 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