Measure of Departure from Conditional Partial Symmetry for Square Contingency Tables
- 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.
DOI: https://doi.org/10.3844/jmssp.2022.138.142
Copyright: © 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