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An Extended Bivariate T-Distribution Type Symmetry Model for Square Contingency Tables

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DOI: 10.4236/ojs.2018.82015    267 Downloads   472 Views

ABSTRACT

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.

Cite this paper

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.

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