Decomposition of measure from symmetry for analyzing collapsed ordinal square contingency tables

被引：0

作者：

Shinoda, Satoru ^{[1
,3
]}

Yamamoto, Kouji ^{[1
]}

Tomizawa, Sadao ^{[2
]}

机构：

[1] Yokohama City Univ, Sch Med, Dept Biostat, Yokohama, Kanagawa, Japan

[2] Meisei Univ, Dept Informat Sci, Hino, Tokyo, Japan

[3] Yokohama City Univ, Sch Med, Dept Biostat, Yokohama, Kanagawa 2360004, Japan

来源：

COMMUNICATIONS IN STATISTICS-THEORY AND METHODS | 2024年 / 53卷 / 16期

关键词：

Collapsed global symmetry; conditional symmetry; divergence; Kullback-Leibler information; small-size sample; DEPARTURE;

D O I：

10.1080/03610926.2023.2233152

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

In some situations, square contingency tables with ordered categories are analyzed by considering collapsed tables where adjacent categories are combined. This study proposes measures to represent the degree of departure from symmetry using collapsed tables. The proposed measures are defined as the arithmetic mean of submeasures of each collapsed 3 x 3 table. Additionally, a theorem affirms that the value of the measure for symmetry is equal to the sum of the value of the proposed measures. Finally, examples are given.

引用

页码：5814 / 5827

页数：14

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