有序范畴的塌缩平方列联表分析中偏离边际齐性的测度

IF 1 Q3 Mathematics

Journal of Statistical Theory and Applications Pub Date : 2020-05-01 DOI:10.2991/jsta.d.200507.001

K. Yamamoto, Itsumi Iwama, S. Tomizawa

{"title":"有序范畴的塌缩平方列联表分析中偏离边际齐性的测度","authors":"K. Yamamoto, Itsumi Iwama, S. Tomizawa","doi":"10.2991/jsta.d.200507.001","DOIUrl":null,"url":null,"abstract":"2010 Mathematics Subject Classification: 62H17 ABSTRACT For square contingency tables with ordered categories, there would be some situations that one would like to analyze them by using collapsed 3 × 3 tables combining some adjacent categories in the original table. This paper considers the marginal homogeneity for collapsed tables and proposes a measure which represents the degree of departure from the marginal homogeneity. The proposed measure lies between 0 and 1, and it takes zero when the marginal homogeneity holds. Examples are given.","PeriodicalId":45080,"journal":{"name":"Journal of Statistical Theory and Applications","volume":"9 1","pages":"212-222"},"PeriodicalIF":1.0000,"publicationDate":"2020-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Measure of Departure from Marginal Homogeneity for the Analysis of Collapsed Square Contingency Tables with Ordered Categories\",\"authors\":\"K. Yamamoto, Itsumi Iwama, S. Tomizawa\",\"doi\":\"10.2991/jsta.d.200507.001\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"2010 Mathematics Subject Classification: 62H17 ABSTRACT For square contingency tables with ordered categories, there would be some situations that one would like to analyze them by using collapsed 3 × 3 tables combining some adjacent categories in the original table. This paper considers the marginal homogeneity for collapsed tables and proposes a measure which represents the degree of departure from the marginal homogeneity. The proposed measure lies between 0 and 1, and it takes zero when the marginal homogeneity holds. Examples are given.\",\"PeriodicalId\":45080,\"journal\":{\"name\":\"Journal of Statistical Theory and Applications\",\"volume\":\"9 1\",\"pages\":\"212-222\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2020-05-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Statistical Theory and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2991/jsta.d.200507.001\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Statistical Theory and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2991/jsta.d.200507.001","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}

引用次数: 0

摘要

摘要对于类别有序的方形列联表，在某些情况下，人们会想用折叠的3 × 3表结合原表中的相邻类别来分析它们。本文考虑了折叠表的边际均匀性，提出了一种表示与边际均匀性偏离程度的度量。所提出的测度介于0和1之间，当边际均匀性保持时，它取零。给出了实例。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Measure of Departure from Marginal Homogeneity for the Analysis of Collapsed Square Contingency Tables with Ordered Categories

2010 Mathematics Subject Classification: 62H17 ABSTRACT For square contingency tables with ordered categories, there would be some situations that one would like to analyze them by using collapsed 3 × 3 tables combining some adjacent categories in the original table. This paper considers the marginal homogeneity for collapsed tables and proposes a measure which represents the degree of departure from the marginal homogeneity. The proposed measure lies between 0 and 1, and it takes zero when the marginal homogeneity holds. Examples are given.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Statistical Theory and Applications STATISTICS & PROBABILITY-

CiteScore

2.30

自引率

0.00%

发文量

审稿时长

13 weeks