摘要：For the analysis of square contingency tables, Tomizawa, Miyamoto and Ashihara
(2003) considered a measure to represent the degree of departure from marginal ho-
mogeneity. However, the maximum value of this measure cannot distinguish two
kinds of marginal inhomogeneity. This paper proposes a measure which can distin-
guish two kinds of marginal inhomogeneity for square tables with ordered categories.
The measure is constructed using the arc-cosine function of symmetric cumulative
probabilities. Especially the proposed measure is useful for representing the degree
of departure from marginal homogeneity when the extended marginal homogeneity
model holds. Examples are given.
