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

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Document pages: 9 pages

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

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