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Point-symmetry models and decomposition for collapsed square contingency tables

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For square contingency tables with ordered categories, there may be some cases that one wants to analyze them by considering collapsed tables with some adjacent categories combined in the original table. This paper proposes three kinds of new models which have the structure of point-symmetry (PS), quasi point-symmetry and marginal point-symmetry for collapsed square tables. This paper also gives a decomposition of the PS model for collapsed square tables. The father's and his daughter's occupational mobility data are analyzed using new models.
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Keywords: collapsed tables; decomposition; marginal point-symmetry; odds ratio; point-symmetry; quasi point-symmetry

Document Type: Research Article

Affiliations: 1: Department of Medical Innovation, Osaka University Hospital, 2-15, Yamadaoka Suita, Osaka, 565-0871, Japan 2: Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba, 278-8510, Japan

Publication date: July 1, 2013

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