Volume no :3, Issue no: 2, June (2010)

Journal of Statistics: Advances in Theory and Applications

EXTENSION OF THE MARGINAL CUMULATIVE LOGISTIC MODEL AND DECOMPOSITIONS OF MARGINAL HOMOGENEITY FOR MULTI-WAY TABLES

Author's: Hiroyuki Kurakami, Kouji Tahata and Sadao Tomizawa
Pages: [135] - [152]
Received Date: June 25, 2010
Submitted by:

Abstract

For multi-way contingency tables of same classifications with ordered categories, this paper proposes such a model that the difference between arbitrary two marginal cumulative logits is a linear function of the category value. The model is an extension of the marginal homogeneity model and the marginal cumulative logistic model. This paper also proposes a similar model on condition that the values of all variables are not identical. Using the proposed models, the decompositions for the marginal homogeneity model are given. Examples are given.

Keywords

decomposition, marginal cumulative logistic, marginal homogeneity, multi-way table.