RAO'S STATISTIC FOR THE ANALYSIS OF UNIFORM ASSOCIATION IN CROSS-CLASSIFICATIONS

Abstract

In this paper we introduce a new measure for the analysis of association in cross-classifications having ordered categories. Association is measured in terms of the odd-ratios in 2 × 2 subtables formed from adjacent rows and adjacent columns. We focus our attention in the uniform association model. Our measure is based in the family of divergences introduced by Burbea and Rao [1]. Some well-known sets of data are reanalyzed and a simulation study is presented to analyze the behavior of the new families of test statistics introduced in this paper.

Keywords:

• Contingency table
• Uniform association model
• Local odd ratio
• Burbea and Rao's divergence measure

ACKNOWLEDGMENTS

We thank to the referees for a careful examination of the paper and suggestions leading to its improvements. This work was supported by Grant DGI (BFM-2000-0800).