Volume 19, Issue 4, December 2020, Pages 526 - 533
Measure of Departure from Point Symmetry and Decomposition of Measure for Square Contingency Tables
Authors
Kiyotaka Iki1, *, Sadao Tomizawa2
1Faculty of Economics, Nihon University, Chiyoda-ku, Tokyo, 101-8360, Japan
2Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba, 278-8510, Japan
*Corresponding author. Email: iki.kiyotaka@nihon-u.ac.jp
Corresponding Author
Kiyotaka Iki
Received 7 July 2020, Accepted 21 December 2020, Available Online 4 January 2021.
- DOI
- 10.2991/jsta.d.201223.001How to use a DOI?
- Keywords
- Conditional symmetry; Global symmetry; Kullback–Leibler information; Measure; Point symmetry; Square contingency table
- Abstract
For square contingency tables with ordered categories, Tomizawa, Biometrica J. 28 (1986), 387–393, considered the conditional point symmetry model. Kurakami et al., J. Stat. Adv. Theory Appl. 17 (2017), 33–42, considered the another point symmetry and the reverse global symmetry model. The present paper proposes Kullback–Leibler information type measures to represent the degree of departure from each of the models. Also this paper shows a theorem that the measure for the another point symmetry model is equal to the sum of the measures for the reverse global symmetry model and for the conditional point symmetry model.
- Copyright
- © 2021 The Authors. Published by Atlantis Press B.V.
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
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TY - JOUR AU - Kiyotaka Iki AU - Sadao Tomizawa PY - 2021 DA - 2021/01/04 TI - Measure of Departure from Point Symmetry and Decomposition of Measure for Square Contingency Tables JO - Journal of Statistical Theory and Applications SP - 526 EP - 533 VL - 19 IS - 4 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.d.201223.001 DO - 10.2991/jsta.d.201223.001 ID - Iki2021 ER -