{"title":"TESTS OF HOMOGENEITY FOR ORDERED ALTERNATIVES IN THE NORMAL POPULATIONS","authors":"S. Shirahata","doi":"10.5109/13131","DOIUrl":null,"url":null,"abstract":"Four new statistics to test the homogeneity of means and of variances against the ordered alternatives are considered and their power properties are investigated with the aid of computer simulations. These statistics are extensions of a partial ordering on the sample space induced by the likelihood ratio. It is found that they are more powerful than the likelihood ratio tests.","PeriodicalId":287765,"journal":{"name":"Bulletin of Mathematical Statistics","volume":"62 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1979-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin of Mathematical Statistics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5109/13131","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
Four new statistics to test the homogeneity of means and of variances against the ordered alternatives are considered and their power properties are investigated with the aid of computer simulations. These statistics are extensions of a partial ordering on the sample space induced by the likelihood ratio. It is found that they are more powerful than the likelihood ratio tests.
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