文章基本信息

标题：Measure of Departure from Collapsed Symmetry for Multi-way Contingency Tables with Ordered Categories
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作者：Kouji Yamamoto ; Kouji Tahata ; Asuka Hatori 等
期刊名称：JOURNAL OF THE JAPAN STATISTICAL SOCIETY
印刷版ISSN：1882-2754
电子版ISSN：1348-6365
出版年度：2010
卷号：40
期号：1
页码：097-109
DOI：10.14490/jjss.40.097
出版社：JAPAN STATISTICAL SOCIETY
摘要：For multi-way tables with ordered categories, Tahata et al. \ (2008) considered the collapsed symmetry model, which indicates the symmetry for the tables collapsed the original table by choosing the cut point in the categories. The present paper proposes a measure to represent the degree of departure from collapsed symmetry for multi-way tables. The measure proposed is expressed by using the Cressie-Read power-divergence or the Patil-Taillie diversity index. The measure would be useful for comparing the degrees of departure from collapsed symmetry in several multi-way tables. Examples are given.
关键词：Collapsed symmetry;Kullback-Leibler information;measure;power-divergence;Shannon entropy