Asymmetry Index on Marginal Homogeneity for Square Contingency Tables with Ordered Categories

Kouji Tahata, Kanau Kawasaki, Sadao Tomizawa

Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan.

DOI: 10.4236/ojs.2012.22023                

Abstract

For square contingency tables with ordered categories, the present paper considers two kinds of weak marginal homogeneity and gives measures to represent the degree of departure from weak marginal homogeneity. The proposed measures lie between –1 to 1. When the marginal cumulative logistic model or the extended marginal homogeneity model holds, the proposed measures represent the degree of departure from marginal homogeneity. Using these measures, three kinds of unaided distance vision data are analyzed.

Keywords

Marginal Homogeneity; Marginal Cumulative Logistic Model; Measure; Square Contingency Table

Conflicts of Interest

The authors declare no conflicts of interest.

References

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