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Volume (56) Number 1 pp. 1-11
Kiyotaka Iki 1, Hiroshi Nakano 2, Sadao Tomizawa 2
1Department of Economics, Nihon University, Tokyo, Japan
2Department of Information Sciences, Faculty of Science and Technology, University of Science, Noda City, Japan
2Department of Information Sciences, Faculty of Science and Technology, University of Science, Noda City, Japan
A directional measure for marginal homogeneity in square contingency tables with ordered categories
Summary
For square contingency tables with ordered categories, Iki, Tahata and Tomizawa (2012) considered a measure to represent the degree of 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.
Keywords: Cumulative logistic model, Marginal homogeneity, Marginal odds, Square contingency table
DOI: 10.2478/bile-2019-0001
For citation:
| MLA | Iki, Kiyotaka, et al. "A directional measure for marginal homogeneity in square contingency tables with ordered categories." Biometrical Letters 56.1 (2019): 1-11. DOI: 10.2478/bile-2019-0001 |
| APA | Iki, K., Nakano, H., & Tomizawa, S. (2019). A directional measure for marginal homogeneity in square contingency tables with ordered categories. Biometrical Letters 56(1), 1-11 DOI: 10.2478/bile-2019-0001 |
| ISO 690 | IKI, Kiyotaka, NAKANO, Hiroshi, TOMIZAWA, Sadao. A directional measure for marginal homogeneity in square contingency tables with ordered categories. Biometrical Letters, 2019, 56.1: 1-11. DOI: 10.2478/bile-2019-0001 |