Author(s)

Kiyotaka Iki^*, Masayuki Okada, Sadao Tomizawa

Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Chiba, Japan.

The purpose of this paper is to propose a new model of asymmetry for square contingency tables with ordered categories. The new model may be appropriate for a square contingency table if it is reasonable to assume an underlying bivariate t-distribution with different marginal variances having any degrees of freedom. As the degrees of freedom becomes larger, the proposed model approaches the extended linear diagonals-parameter symmetry model, which may be appropriate for a square table if it is reasonable to assume an underlying bivariate normal distribution. The simulation study based on bivariate t-distribution is given. An example is given.

Bivariate T-Distribution, Square Contingency Table, Symmetry, Underlying Distribution

Iki, K. , Okada, M. and Tomizawa, S. (2018) An Extended Bivariate T-Distribution Type Symmetry Model for Square Contingency Tables. Open Journal of Statistics, 8, 249-257. doi: 10.4236/ojs.2018.82015.