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

• 作者: Kiyotaka Iki Masayuki Okada Sadao Tomizawa
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: BIVARIATE T-DISTRIBUTION SQUARE CONTINGENCY Table SYMMETRY UNDERLYING Distribution
• 年，卷（期）: 2018,（2）
• 页码范围: 249-257
• 页数: 9页
• 分类号: O1

摘要

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.