A contrast-ratio representation of directional departure from marginal mean equality in ordinal square contingency tables

Shuji Ando

doi:10.2478/bile-2026-0009

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A contrast-ratio representation of directional departure from marginal mean equality in ordinal square contingency tables

Biometrical Letters

AHEAD OF PRINT

By: Shuji Ando

Open Access

|Nov 2026

Agresti A. (2010): Analysis of Ordinal Categorical Data, 2nd ed. Wiley, Hoboken.
Search in Google Scholar Back to article
Agresti A. (2019): An Introduction to Categorical Data Analysis, 3rd ed. Wiley, Hoboken.
Search in Google Scholar Back to article
Ando S. (2019): A bivariate index for visually measuring marginal inhomogeneity in square tables. International Journal of Statistics and Probability 8: 58–65.
Search in Google Scholar Back to article
Ando S. (2021): An index to simultaneously analyze the degree and directionality of departure from global marginal homogeneity in square contingency tables. Journal of the Korean Statistical Society 50: 997–1008.
Search in Google Scholar Back to article
Ando S. (2022): Directional measure for analyzing the degree of deviance from generalized marginal mean equality model in square contingency tables. Sankhyā B 84: 708–721.
Search in Google Scholar Back to article
Ando S. (2024): Measure of deviancy from marginal mean equality based on cumulative marginal probabilities in square contingency tables. Metrika 87: 1037–1048.
Search in Google Scholar Back to article
Ando S., Fujimoto K., Tomizawa S. (2024): A measure of departure from marginal homogeneity using continuation odds for square contingency tables with ordered categories. Sankhyā B 86: 311–332.
Search in Google Scholar Back to article
Bowker A.H. (1948): A test for symmetry in contingency tables. Journal of the American Statistical Association 43: 572–574.
Search in Google Scholar Back to article
Francom S.F., Chuang-Stein C., Landis J.R. (1989): A log-linear model for ordinal data to characterize differential change among treatments. Statistics in Medicine 8: 571–582.
Search in Google Scholar Back to article
Iki K., Nakano H., Tomizawa S. (2019): A directional measure for marginal homogeneity in square contingency tables with ordered categories. Biometrical Letters 56: 1–11.
Search in Google Scholar Back to article
Ireland C.T., Ku H.H., Kullback S. (1969): Symmetry and marginal homogeneity of an r × r contingency table. Journal of the American Statistical Association 64: 1323–1341.
Search in Google Scholar Back to article
Stuart A. (1955): A test for homogeneity of the marginal distributions in a two-way classification. Biometrika 42: 412–416.
Search in Google Scholar Back to article
Tomizawa S. (1991): Decomposing the marginal homogeneity model into two models for square contingency tables with ordered categories. Calcutta Statistical Association Bulletin 41: 201–207.
Search in Google Scholar Back to article
Tomizawa S. (1995): Measures of departure from marginal homogeneity for contingency tables with nominal categories. Journal of the Royal Statistical Society Series D: The Statistician 44: 425–439.
Search in Google Scholar Back to article
Tomizawa S., Miyamoto N., Ashihara N. (2003): Measure of departure from marginal homogeneity for square contingency tables having ordered categories. Behaviormetrika 30: 173–193.
Search in Google Scholar Back to article