{"title":"关于简单随机效应模型中大均值的两个无偏方差估计量的同一性的注释。","authors":"Bruce Levin, Cheng-Shiun Leu","doi":"10.1080/00031305.2012.752105","DOIUrl":null,"url":null,"abstract":"<p><p>We demonstrate the algebraic equivalence of two unbiased variance estimators for the sample grand mean in a random sample of subjects from an infinite population where subjects provide repeated observations following a homoscedastic random effects model.</p>","PeriodicalId":50801,"journal":{"name":"American Statistician","volume":"67 1","pages":"42-43"},"PeriodicalIF":1.8000,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1080/00031305.2012.752105","citationCount":"3","resultStr":"{\"title\":\"Note on an Identity Between Two Unbiased Variance Estimators for the Grand Mean in a Simple Random Effects Model.\",\"authors\":\"Bruce Levin, Cheng-Shiun Leu\",\"doi\":\"10.1080/00031305.2012.752105\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>We demonstrate the algebraic equivalence of two unbiased variance estimators for the sample grand mean in a random sample of subjects from an infinite population where subjects provide repeated observations following a homoscedastic random effects model.</p>\",\"PeriodicalId\":50801,\"journal\":{\"name\":\"American Statistician\",\"volume\":\"67 1\",\"pages\":\"42-43\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2013-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1080/00031305.2012.752105\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"American Statistician\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1080/00031305.2012.752105\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"STATISTICS & PROBABILITY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"American Statistician","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1080/00031305.2012.752105","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"STATISTICS & PROBABILITY","Score":null,"Total":0}
Note on an Identity Between Two Unbiased Variance Estimators for the Grand Mean in a Simple Random Effects Model.
We demonstrate the algebraic equivalence of two unbiased variance estimators for the sample grand mean in a random sample of subjects from an infinite population where subjects provide repeated observations following a homoscedastic random effects model.
期刊介绍:
Are you looking for general-interest articles about current national and international statistical problems and programs; interesting and fun articles of a general nature about statistics and its applications; or the teaching of statistics? Then you are looking for The American Statistician (TAS), published quarterly by the American Statistical Association. TAS contains timely articles organized into the following sections: Statistical Practice, General, Teacher''s Corner, History Corner, Interdisciplinary, Statistical Computing and Graphics, Reviews of Books and Teaching Materials, and Letters to the Editor.