Volume 15, Issue 3, September 2016, Pages 237 - 247
A generalized asymmetry model for square contingency tables with ordered categories
Authors
Kiyotaka Iki, Takahiro Suto, Sadao Tomizawa
Corresponding Author
Kiyotaka Iki
Received 17 September 2015, Accepted 1 December 2015, Available Online 1 September 2016.
- DOI
- 10.2991/jsta.2016.15.3.4How to use a DOI?
- Keywords
- Cumulative probability; Decomposition; Ordered category; Palindromic symmetry; Square contingency tables.
- Abstract
For square contingency tables with ordered categories, the present paper proposes an asymmetry model with m-additional parameters, which indicates (1) the generalized marginal homogeneity and (2) the structure of quasi-symmetry for cumulative probabilities. The proposed model includes a modified palindromic symmetry model by Iki, Oda and Tomizawa [7]. Also the present paper gives the decomposition of the symmetry model using the proposed model. Examples are given.
- Copyright
- © 2017, the Authors. Published by Atlantis Press.
- Open Access
- This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Kiyotaka Iki AU - Takahiro Suto AU - Sadao Tomizawa PY - 2016 DA - 2016/09/01 TI - A generalized asymmetry model for square contingency tables with ordered categories JO - Journal of Statistical Theory and Applications SP - 237 EP - 247 VL - 15 IS - 3 SN - 2214-1766 UR - https://doi.org/10.2991/jsta.2016.15.3.4 DO - 10.2991/jsta.2016.15.3.4 ID - Iki2016 ER -