{"title":"具有有序类别的多路列联表的不对称测度","authors":"K. Yamamoto, S. Tomizawa","doi":"10.5183/JJSCS1988.20.39","DOIUrl":null,"url":null,"abstract":"For square contingency tables with ordered categories, Tomizawa, Miyamoto and Hatanaka (2001) considered a measure that represents the degree of departure from symmetry. This paper extends the measure to multi-way tables with ordered categories. The measure proposed is expressed by using the Cressie-Read power-divergence or the Patil-Taillie diversity index. The measure could be useful for comparing the degrees of departure from symmetry in several multi-way tables with ordered categories. Examples are given.","PeriodicalId":338719,"journal":{"name":"Journal of the Japanese Society of Computational Statistics","volume":"37 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2007-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"A MEASURE OF ASYMMETRY FOR MULTI-WAY CONTINGENCY TABLES WITH ORDERED CATEGORIES\",\"authors\":\"K. Yamamoto, S. Tomizawa\",\"doi\":\"10.5183/JJSCS1988.20.39\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"For square contingency tables with ordered categories, Tomizawa, Miyamoto and Hatanaka (2001) considered a measure that represents the degree of departure from symmetry. This paper extends the measure to multi-way tables with ordered categories. The measure proposed is expressed by using the Cressie-Read power-divergence or the Patil-Taillie diversity index. The measure could be useful for comparing the degrees of departure from symmetry in several multi-way tables with ordered categories. Examples are given.\",\"PeriodicalId\":338719,\"journal\":{\"name\":\"Journal of the Japanese Society of Computational Statistics\",\"volume\":\"37 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2007-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of the Japanese Society of Computational Statistics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5183/JJSCS1988.20.39\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of the Japanese Society of Computational Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5183/JJSCS1988.20.39","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A MEASURE OF ASYMMETRY FOR MULTI-WAY CONTINGENCY TABLES WITH ORDERED CATEGORIES
For square contingency tables with ordered categories, Tomizawa, Miyamoto and Hatanaka (2001) considered a measure that represents the degree of departure from symmetry. This paper extends the measure to multi-way tables with ordered categories. The measure proposed is expressed by using the Cressie-Read power-divergence or the Patil-Taillie diversity index. The measure could be useful for comparing the degrees of departure from symmetry in several multi-way tables with ordered categories. Examples are given.
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