Improved Measure on Extended Marginal Homogeneity for Ordinal Square Contingency Tables

Abstract

For square contingency tables with ordered categories, Yamamoto et al. (2007) considered a measure to represent the degree of departure from extended marginal homogeneity. It attains the maximum value when one of two symmetric cumulative probabilities is zero. The present paper proposes an improved measure so that the degree of departure from extended marginal homogeneity can attain the maximum value even when the cumulative probabilities are not zeros. An example is given.