{"title":"Comment on “On the Power of the F-test for Hypotheses in a Linear Model” by Griffiths and Hill (2022)","authors":"R. Christensen","doi":"10.1080/00031305.2022.2074541","DOIUrl":null,"url":null,"abstract":"Griffiths and Hill (2022) showed that when testing an hypothesis in linear models, it can sometimes be advantageous to incorporate components into the hypothesis that are true. They assume a true linear model and that a constraint R 2 β = d 2 is true. They are interested in comparing the powers of three F tests for H 0 : R 1 β = d 1 :","PeriodicalId":342642,"journal":{"name":"The American Statistician","volume":"4 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-07-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"The American Statistician","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/00031305.2022.2074541","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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Abstract
Griffiths and Hill (2022) showed that when testing an hypothesis in linear models, it can sometimes be advantageous to incorporate components into the hypothesis that are true. They assume a true linear model and that a constraint R 2 β = d 2 is true. They are interested in comparing the powers of three F tests for H 0 : R 1 β = d 1 :
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