Extensions of linear diagonal-parameter symmetry and quasi-symmetry models for cumulative probabilities in square contingency tables |
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Authors: | Sadao Tomizawa Nobuko Miyamoto Kouji Yamamoto Akinobu Sugiyama |
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Institution: | Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba, 278-8510, Japan |
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Abstract: | For square contingency tables with ordered categories, CAUSSINUS Annales de la Faculté des Sciences de l'Université de Toulouse (1965) Vol. 29, pp. 77–182] and AGRESTI Statistics and Probability Letters (1983) Vol. 1, pp. 313–316] considered the quasi-symmetry and the linear diagonal-parameter symmetry models, respectively, which have multiplicative forms for cell probabilities. This paper proposes two kinds of models that have the similar multiplicative forms for cumulative probabilities that an observation will fall in row (column) category i or below and column (row) category j (> i ) or above. The endometrial cancer data are analyzed using these models. |
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Keywords: | cumulative symmetry model endometrial cancer data extended quasi-symmetry model ordered category symmetry |
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