2012•Calcutta Statistical Association BulletinRequires access

Some Symmetry Models for the Analysis of Collapsed Square Contingency Tables with Ordered Categories

Kouji Yamamoto, Kouji Tahata, Sadao Tomizawa

Abstract

Abtsrcat For the 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 considers some symmetry models for collapsed square contingency tables and proposes two new models which have the structure of global symmetry and that of quasi-symmetry for the collapsed square tables. Also this paper gives two kinds of decompositions of the symmetry model for collapsed square tables. The new models and decompositions are useful for analyzing the collapsed square tables. Examples are given.

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Key concepts: Contingency table, Square (algebra), Symmetry (geometry), Table (database), Mathematics, Computer science, Statistics, Geometry