DEPARTURE FROM QUASI-UNIFORM ASSOCIATION MODEL IN ORDERED SQUARE CONTINGENCY TABLES

Authors : Serpil AKTAŞ, Ayfer Ezgi YILMAZ

Pages : 79-83

Doi:10.22531/muglajsci.960976

View : 13 | Download : 4

Publication Date : 2021-12-31

Article Type : Research Paper

Abstract :The Uniform Association insert ignore into journalissuearticles values(UA); and Quasi-Uniform Association insert ignore into journalissuearticles values(QUA); models are used for analysis of two-way square contingency tables with ordered categories. When the QUA model does not fit the data, one wants to measure the degree of departure from the quasi-uniform association model. The degree of the departure from the model is calculated by using the power divergence statistics. In this study, as an alternative to measures in the literature, a measure to estimate the degree of departure from the QUA model is suggested. This suggested measure allows us to compare the several R×R tables in terms of the departure from the model. The measures are compared by the simulation study and discussed by three unaided distance vision data. 
Keywords : Square contingency tables, Ordinal categories, Uniform association model, Quasi uniform association model, Kullback Leiber divergence