文章基本信息

标题：A measure of departure from average marginal homogeneity for square contingency tables with ordered categories
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作者：Kouji Yamamoto ; Shuji Ando ; Sadao Tomizawa. 等
期刊名称：RevStat : Statistical Journal
印刷版ISSN：1645-6726
出版年度：2011
卷号：9
期号：2
出版社：Instituto Nacional de Estatística
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.
关键词：average marginal homogeneity; extended marginal homogeneity; measure; ordinal data.