{"title":"Measurement structures and invariant statistics","authors":"C. Chiang","doi":"10.1111/J.2044-8317.1997.TB01101.X","DOIUrl":null,"url":null,"abstract":"A suitable connection between measurement structures and statistical structures is suggested. It is pointed out that, under appropriate conditions, invariant statistics, which include invariant test statistics and equivariant estimators, are comparison invariant in the measurement-theoretic sense. Examples of invariant functions used in statistics are discussed.","PeriodicalId":229922,"journal":{"name":"British Journal of Mathematical and Statistical Psychology","volume":"67 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1997-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"British Journal of Mathematical and Statistical Psychology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1111/J.2044-8317.1997.TB01101.X","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 2
Abstract
A suitable connection between measurement structures and statistical structures is suggested. It is pointed out that, under appropriate conditions, invariant statistics, which include invariant test statistics and equivariant estimators, are comparison invariant in the measurement-theoretic sense. Examples of invariant functions used in statistics are discussed.
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