Keywords and phrases: ordered category, partial symmetry, square contingency table, measure.
Received: March 8, 2022; Accepted: April 9, 2022; Published: May 13, 2022
How to cite this article: Yusuke Saigusa, Taiki Yano, Aki Ishii and Sadao Tomizawa, Geometric mean type measure of the departure from partial symmetry for ordinal square contingency tables, Advances and Applications in Statistics 76 (2022), 127-138. http://dx.doi.org/10.17654/0972361722039
This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License
References:
[1] A. Agresti, Categorical Data Analysis, 3rd ed., John Wiley and Sons, Hoboken, New Jersey, 2013. [2] A. H. Bowker, A test for symmetry in contingency tables, J. Amer. Statist. Assoc. 43 (1948), 572-574. DOI: 10.1080/01621459.1948.10483284. [3] K. Iki and S. Tomizawa, Measure of departure from symmetry using cumulative probability for square contingency tables with ordered categories, Adv. Appl. Stat. 52(6) (2018), 401-412. DOI: 10.17654/AS052060401. [4] G. P. Patil and C. Taillie, Diversity as a concept and its measurement, J. Amer. Statist. Assoc. 77 (1982), 548-561. DOI: 10.1080/01621459.1982.10477845. [5] Y. Saigusa, K. Tahata and S. Tomizawa, Measure of departure from partial symmetry for square contingency tables, J. Math. Stat. 12 (2016), 152-156. DOI: 10.3844/jmssp.2016.152.156. [6] Y. Saigusa, M. Takami, A. Ishii, T. Nakagawa and S. Tomizawa, Measure of departure from cumulative partial symmetry for square contingency tables with ordered categories, Journal of Statistics: Advances in Theory and Applications 21 (2019), 53-70. [7] S. Tomizawa, N. Miyamoto and M. Iwamoto, Linear column-parameter model for square contingency tables: application to decayed teeth data, Biometrical Letters 43 (2006), 91-98.
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