RESEARCH ARTICLE
Normal Distribution Type Symmetry Model for Square Contingency Tables with Ordered Categories
Kouji Tahata, Kouji Yamamoto*, Sadao Tomizawa
Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City,
Chiba, 278-8510, Japan.
Article Information
Identifiers and Pagination:
Year: 2009Volume: 1
First Page: 32
Last Page: 37
Publisher Id: TOSPJ-1-32
DOI: 10.2174/1876527000901010032
Article History:
Received Date: 27/2/2009Revision Received Date: 9/3/2009
Acceptance Date: 31/3/2009
Electronic publication date: 20/4/2009
Collection year: 2009
© 2009 Tahata et al.;
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
open-access license: This is an open access article distributed under the terms of the Creative Commons Attribution 4.0 International Public License (CC-BY 4.0), a copy of which is available at: https://creativecommons.org/licenses/by/4.0/legalcode. This license permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Abstract
For square contingency tables with ordered categories, this paper proposes a model that the cell probabilities have a similar structure of bivariate normal density function with equal marginal variances. The proposed model is special cases of Agresti's linear diagonals-parameter symmetry model and Goodman's diamond model. Examples with real data are given and the simulation studies based on the bivariate normal distribution are also given.
Keywords: Diamond model, Linear diagonals-parameter symmetry, Normal distribution, Ordered category..
