An extended asymmetry model for square contingency tables with ordered categories

Article type: Research Article

Authors: Saigusa, Yusuke | Tahata, Kouji^{; *} | Tomizawa, Sadao

Affiliations: Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan

Correspondence: [*] Corresponding author: Kouji Tahata, Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba 278 8510, Japan. E-mail: kouji_tahata@is.noda.tus.ac.jp.

Abstract: For square contingency tables with ordered categories, McCullagh [6] considered the palindromic symmetry model. The present paper proposes an extended palindromic symmetry model. The model indicates a structure of asymmetry between the cumulative probability that an observation will fall in row category i or below and column category j(>i) or above and the cumulative probability that it falls in column category i or below and row category j or above. The proposed model indicates the generalized marginal homogeneity model in Tahata and Tomizawa [9] as a special case.

Keywords: Generalized marginal homogeneity model, generalized palindromic symmetry, ordinal data, palindromic symmetry, square contingency table

DOI: 10.3233/MAS-130286

Journal: Model Assisted Statistics and Applications, vol. 9, no. 2, pp. 151-157, 2014