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August 2014 Partitioning measure of quasi-symmetry for square contingency tables
Kouji Tahata, Keigo Kozai, Sadao Tomizawa
Braz. J. Probab. Stat. 28(3): 353-366 (August 2014). DOI: 10.1214/12-BJPS211

Abstract

For the analysis of square contingency tables, we propose the Kullback–Leibler information type measure to represent the degree of departure from the quasi-symmetry (QS) model. We introduce the global quasi-symmetry (GQS) model, and show that the QS model holds if and only if both the GQS and extended quasi-symmetry (EQS) models hold. Furthermore, we propose a measure of departure from each of the GQS and the EQS models, and show that the value of measure of QS is equal to the sum of the value of measure of GQS and that of EQS.

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Kouji Tahata. Keigo Kozai. Sadao Tomizawa. "Partitioning measure of quasi-symmetry for square contingency tables." Braz. J. Probab. Stat. 28 (3) 353 - 366, August 2014. https://doi.org/10.1214/12-BJPS211

Information

Published: August 2014
First available in Project Euclid: 17 July 2014

zbMATH: 1296.53127
MathSciNet: MR3263052
Digital Object Identifier: 10.1214/12-BJPS211

Keywords: Extended quasi-symmetry , global quasi-symmetry , Kullback–Leibler information , quasi-symmetry , square contingency table

Rights: Copyright © 2014 Brazilian Statistical Association

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Vol.28 • No. 3 • August 2014
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