A generalized asymmetry model for square contingency tables with ordered categories

Abstract

For square contingency tables with ordered categories, the present paper proposes an asymmetry model with m-additional parameters, which indicates (1) the generalized marginal homogeneity and (2) the structure of quasi-symmetry for cumulative probabilities. The proposed model includes a modified palindromic symmetry model by Iki, Oda and Tomizawa [7]. Also the present paper gives the decomposition of the symmetry model using the proposed model. Examples are given.

Keywords

• Cumulative probability; Decomposition; Ordered category; Palindromic symmetry; Square contingency tables.