文章基本信息

标题：Decompositions for Extended Double Symmetry Models in Square Contingency Tables with Ordered Categories
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作者：Kouji Tahata ; Sadao Tomizawa
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：2006
卷号：36
期号：1
页码：91-106
DOI：10.14490/jjss.36.91
出版社：JAPAN STATISTICAL SOCIETY
摘要：For square contingency tables with ordered categories, Tomizawa (1992) proposed three kinds of double symmetry models, whose each has a structure of both symmetry about the main diagonal and asymmetry about the reverse diagonal of the table. This paper proposes the extensions of those models and gives the decompositions for three kinds of double symmetry models into the extended quasi double symmetry models, the weighted marginal double symmetry models, and the balance models. Those decompositions are applied to two kinds of data on unaided distance vision.
关键词：decomposition;double symmetry;marginal double symmetry;ordered category;quasi double symmetry;square contingency table;unaided vision data