Computation of the quasi-independence model for the analysis of triangular contingency tables

Triangular contingency tables are a special class of incomplete contingency tables. Association and independence models are used to analyze such tables. This paper presents and compares some methods including the uniform association model and the quasi-independence model. These models can be described in terms of the association parameters for the analysis of triangular contingency tables having ordered categories.A computer program is developed for the analysis of quasi-independence model for positive (negative) likelihood dependence. The sign test, which is a nonparametric test of the independence against the likelihood ratio dependence, is also examined. These methods are applied to the disability ratings of stroke patients data. Effects of the structural zeros on the results are also discussed.