Normal Distribution Type Symmetry Model for Square Contingency Tables with Ordered Categories
Kouji Tahata, Kouji Yamamoto*, Sadao Tomizawa
Identifiers and Pagination:Year: 2009
First Page: 32
Last Page: 37
Publisher Id: TOSPJ-1-32
Article History:Received Date: 27/2/2009
Revision Received Date: 9/3/2009
Acceptance Date: 31/3/2009
Electronic publication date: 20/4/2009
Collection year: 2009
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.
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.