Affiliations: Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan
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: [email protected].
Abstract: For square contingency tables with ordered categories, McCullagh  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  as a special case.