A REVIEW OF THE ANALYSIS OF ORDERED CATEGORICAL DATA(Part II)

Abstract

In the earlier paper, we surveyed the strategies for modeling the two-way contingency tables having ordered categories. Especially, Goodman's association models(1979)were discussed by reanalyzing the well-known sets of data. This manuscript presents the comparisons of the results by use of association models with those obtained using the canonical correlation analysis to locate the association models in the analysis of ordered categorical data. The examination of the agreement of the association models and Plackett's model(1965)with the bivariate normal may clarify the utility of association models. Then, the inference in contingency tables with ordered categories is mentioned based on Plackett's coefihcient of association. Furthermore, the association models may be generalized tomultiway contingency tables. Some examples are illustrated in the context of potential application of the association models to analyze the various types of ordered categorical data.