TITLE:
An Extended Bivariate T-Distribution Type Symmetry Model for Square Contingency Tables
AUTHORS:
Kiyotaka Iki, Masayuki Okada, Sadao Tomizawa
KEYWORDS:
Bivariate T-Distribution, Square Contingency Table, Symmetry, Underlying Distribution
JOURNAL NAME:
Open Journal of Statistics,
Vol.8 No.2,
April
4,
2018
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.