Biometrical Letters Vol. 56(1), 2019, pp. 1-11
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A DIRECTIONAL MEASURE FOR MARGINAL HOMOGENEITY IN SQUARE CONTINGENCY TABLES WITH ORDERED CATEGORIES Kiyotaka Iki1, Hiroshi Nakano2, Sadao Tomizawa3 1Department of Economics, Nihon University, Chiyoda-ku, Tokyo, Japan, e-mail:iki.kiyotaka@nihon-u.ac.jp 2,3Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba, Japan, e-mail: tomizawa@is.noda.tus.ac.jp |
For square contingency tables with ordered categories, Iki, Tahata and Tomizawa (2012) considered a measure to represent the degreeof departure from marginal homogeneity. However, the maximum value of this measure cannot distinguish two kinds of marginal inhomogeneity. The present paper proposes a measure which can distinguish two kinds of marginal inhomogeneity. In particular, the proposed measure is useful for representing the degree of departure from marginal homogeneity when the marginal cumulative logistic model holds.
Cumulative logistic model, Marginal homogeneity, Marginal odds, Square contingency table
