{"title":"On testing of the homogeneity of variances for two-side power distribution family","authors":"A. V. Stepanov, A. G. Chunovkina","doi":"10.1007/s00769-022-01525-8","DOIUrl":null,"url":null,"abstract":"<div><p>Some widely used classical tests for homogeneity of variance (Fisher, Link, Cochran, and Bliss–Cochran–Tukey) are considered for the case when the random variable has a symmetric two-side power distribution. The corresponding critical values for the test statistics are obtained. Some comparative analysis of power of the tests is carried out. The case when the null hypothesis assumes a minor random scatter of the variance is considered separately.</p></div>","PeriodicalId":454,"journal":{"name":"Accreditation and Quality Assurance","volume":"28 3","pages":"129 - 137"},"PeriodicalIF":0.8000,"publicationDate":"2022-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00769-022-01525-8.pdf","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accreditation and Quality Assurance","FirstCategoryId":"5","ListUrlMain":"https://link.springer.com/article/10.1007/s00769-022-01525-8","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"CHEMISTRY, ANALYTICAL","Score":null,"Total":0}
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Abstract
Some widely used classical tests for homogeneity of variance (Fisher, Link, Cochran, and Bliss–Cochran–Tukey) are considered for the case when the random variable has a symmetric two-side power distribution. The corresponding critical values for the test statistics are obtained. Some comparative analysis of power of the tests is carried out. The case when the null hypothesis assumes a minor random scatter of the variance is considered separately.
期刊介绍：
Accreditation and Quality Assurance has established itself as the leading information and discussion forum for all aspects relevant to quality, transparency and reliability of measurement results in chemical and biological sciences. The journal serves the information needs of researchers, practitioners and decision makers dealing with quality assurance and quality management, including the development and application of metrological principles and concepts such as traceability or measurement uncertainty in the following fields: environment, nutrition, consumer protection, geology, metallurgy, pharmacy, forensics, clinical chemistry and laboratory medicine, and microbiology.
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