Extended Diagonal Exponent Symmetry Model and Its Orthogonal Decomposition in Square Contingency Tables with Ordered Categories

• 作者: Akira Shibuya Kiyotaka Iki Sadao Tomizawa
• 来源期刊: 统计学期刊(英文)
• 学科: 数学
• 关键词: DIAGONAL EXPONENT SYMMETRY ORDINAL Category Orthogonal Decomposition Quasi-Symmetry SQUARE CONTINGENCY Table
• 年，卷（期）: 2015,（4）
• 页码范围: 262-272
• 页数: 11页
• 分类号: O1

摘要

For square contingency tables with ordered categories, this article proposes new models, which are the extension of Tomizawa’s [1] diagonal exponent symmetry model. Also it gives the decomposition of proposed model, and shows the orthogonality of the test statistics for decomposed models. Examples are given and the simulation studies based on the bivariate normal distribution are also given.