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

Authors: Kiyotaka Iki, Masayuki Okada, Sadao Tomizawa

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.


Journal: Open Journal of Statistics
DOI: 10.4236/ojs.2018.82015 (PDF)
Paper Id: 83567 (metadata)

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