Open Access
December 2022 Measure of departure from marginal point-symmetry for multi-way contingency tables
Ken Saito, Aki Ishii, Kiyotaka Iki, Sadao Tomizawa
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SUT J. Math. 58(2): 97-115 (December 2022). DOI: 10.55937/sut/1670226368

Abstract

To analyze two-way contingency tables with ordered categories, Iki and Tomizawa (2018) proposed a measure to distinguish two kinds of marginal asymmetry for the midpoint. However, that measure cannot necessarily judge all of the marginal asymmetries. We improve the measure and give a new measure for multi-way contingency tables. We also derive an approximate confidence interval for the measure.

Acknowledgments

The authors would like to thank a referee for the helpful comments.

Citation

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Ken Saito. Aki Ishii. Kiyotaka Iki. Sadao Tomizawa. "Measure of departure from marginal point-symmetry for multi-way contingency tables." SUT J. Math. 58 (2) 97 - 115, December 2022. https://doi.org/10.55937/sut/1670226368

Information

Received: 27 April 2022; Published: December 2022
First available in Project Euclid: 17 January 2023

MathSciNet: MR4536327
zbMATH: 07658527
Digital Object Identifier: 10.55937/sut/1670226368

Subjects:
Primary: 62H17

Keywords: multi-way contingency table , ordered categories , Point symmetry

Rights: Copyright © 2022 Tokyo University of Science

Vol.58 • No. 2 • December 2022
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