Orthogonal decomposition of symmetry model using the ordinal quasi-symmetry model based on f-divergence for square contingency tables

For square contingency tables, Caussinus (1965) considered the quasi-symmetry (QS) model. Kateri and Agresti (2007) considered the ordinal quasi-symmetry (OQS[f]) model based on f-divergence. The present paper gives a decomposition of the symmetry (S) model into the OQS[f] and marginal mean equality models. It also shows that the test statistic for goodness-of-fit of the S model is asymptotically equivalent to the sum of those for the decomposed models.

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Year of publication:	2015
Authors:	Saigusa, Yusuke ; Tahata, Kouji ; Tomizawa, Sadao
Published in:	Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 101.2015, C, p. 33-37
Publisher:	Elsevier
Subject:	Decomposition \| f-divergence \| Orthogonality \| Quasi-symmetry \| Square contingency table \| Symmetry

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011263169