A GENERALIZATION OF CUMULATIVE SYMMETRY MODELS AND ITS DECOMPOSITION FOR SQUARE CONTINGENCY TABLES WITH ORDERED CATEGORIES

Kouji Yamamoto (Japan) and Sadao Tomizawa (Japan)

Received December 13, 2007

Abstract

For square contingency tables with ordered categories, Tomizawa [13]  considered the cumulative diagonals-parameter symmetry model and Tomizawa et al. [14] considered the cumulative polynomial diagonals-parameter symmetry model with degree 2 (C model). This paper first considers the generalization of the C model and then provides the decomposition of the generalized model. Examples are also given.

Keywords and phrases: cumulative diagonals-parameter symmetry model, decomposition, ordered category, polynomial model, square contingency table.