{"title":"测量结构和不变统计","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":"{\"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}","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}
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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