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ISSN: 1549-3644 (Print)
ISSN: 1558-6359 (Online)
Research Article Open Access

Measure of Departure from Conditional Partial Symmetry for Square Contingency Tables

Yusuke Saigusa1, Nobuki Fukumoto2, Tomoyuki Nakagawa2 and Sadao Tomizawa2
  • 1 Department of Biostatistics, School of Medicine, Yokohama City University, Japan
  • 2 Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Japan

Abstract

For square contingency tables, asymmetry of conditional probability in part of the off-diagonal cells isconsidered with respect to the main diagonal. A measure is proposed torepresent the degree of departure from the symmetric structure and gives theapproximate confidence interval. Some numerical experiments are performed toillustrate the validity and usefulness of the proposed measure. Japaneseoccupational data are analyzed using the measure.

Journal of Mathematics and Statistics
Volume 18 No. 1, 2022, 138-142

DOI: https://doi.org/10.3844/jmssp.2022.138.142

Submitted On: 18 February 2022 Published On: 4 October 2022

How to Cite: Saigusa, Y., Fukumoto, N., Nakagawa, T. & Tomizawa, S. (2022). Measure of Departure from Conditional Partial Symmetry for Square Contingency Tables. Journal of Mathematics and Statistics, 18(1), 138-142. https://doi.org/10.3844/jmssp.2022.138.142

Open AccessCopyright: © 2022 Yusuke Saigusa, Nobuki Fukumoto, Tomoyuki Nakagawa and Sadao Tomizawa. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.

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Keywords

  • Conditional Symmetry
  • Square Contingency Table
  • Measure