Open Access
June 2015 Measure of departure from generalized marginal homogeneity model for square contingency tables with ordered categories
Shuji Ando, Kouji Tahata, Sadao Tomizawa
Author Affiliations +
SUT J. Math. 51(1): 99-117 (June 2015). DOI: 10.55937/sut/1437588971

Abstract

For square contingency tables with ordered categories, Tomizawa (1995a) considered the generalized marginal homogeneity model. The present paper proposes a measure which represents the degree of departure from generalized marginal homogeneity. The proposed measure is expressed by the weighted sum of the Cressie-Read power-divergence or Patil-Taillie diversity index. This measure would be useful for measuring the degree of departure from generalized marginal homogeneity toward the maximum departure from it. The relationship between the measure and the further generalized marginal homogeneity model is shown by simulation studies.

Acknowledgments

The authors would like to thank the editor and an anonymous referee for their helpful suggestions and comments.

Citation

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Shuji Ando. Kouji Tahata. Sadao Tomizawa. "Measure of departure from generalized marginal homogeneity model for square contingency tables with ordered categories." SUT J. Math. 51 (1) 99 - 117, June 2015. https://doi.org/10.55937/sut/1437588971

Information

Received: 22 October 2014; Revised: 13 May 2015; Published: June 2015
First available in Project Euclid: 8 June 2022

Digital Object Identifier: 10.55937/sut/1437588971

Subjects:
Primary: 62H17

Keywords: Kullback-Leibler information , marginal homogeneity , measure , ordered category , power-divergence , Shannon entropy

Rights: Copyright © 2015 Tokyo University of Science

Vol.51 • No. 1 • June 2015
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