TITLE:
Asymmetry Index on Marginal Homogeneity for Square Contingency Tables with Ordered Categories
AUTHORS:
Kouji Tahata, Kanau Kawasaki, Sadao Tomizawa
KEYWORDS:
Marginal Homogeneity; Marginal Cumulative Logistic Model; Measure; Square Contingency Table
JOURNAL NAME:
Open Journal of Statistics,
Vol.2 No.2,
April
23,
2012
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.