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

Year 2021, , 79 - 83, 31.12.2021

Serpil Aktaş , Ayfer Ezgi Yılmaz

https://doi.org/10.22531/muglajsci.960976

Abstract

The Uniform Association (UA) and Quasi-Uniform Association (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

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