文章基本信息

标题：Collapsed Symmetry Model and its Decomposition for Multi-way Tables with Ordered Categories
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作者：Kouji Tahata ; Akira Takazawa
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：2008
卷号：38
期号：2
页码：325-334
DOI：10.14490/jjss.38.325
出版社：JAPAN STATISTICAL SOCIETY
摘要：For r× r tables with ordered categories, Tomizawa (1995) considered the collapsed symmetry model. This model indicates the structure of symmetry for the r− 1 ways of collapsing the r× r table into a 2 × 2 table by choosing cut points after the u -th row and after the u -th column for u= 1 ,...,r− 1. This paper proposes a collapsed symmetry ( C ) model for multi-way tables with ordered categories. The proposed model is an extension of the complete symmetry model and a special case of the marginal homogeneity ( M ) model. Also for multi-way tables, this paper proposes the collapsed quasi-symmetry ( CQS ) model which is an extension of the C model, and gives a theorem that the C model holds if and only if both the CQS and M models hold. An example is given.
关键词：Collapsed quasi-symmetry;collapsed symmetry;decomposition;marginal homogeneity;multi-way tables;ordered category;quasi-symmetry;symmetry