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It is shown that for a wide variety of balanced situations the interval estimation of the upper variance component is likely to be relatively little affected by non-normality in the error component. A method is suggested for constructing a confidence interval for a ratio of variance components in a balanced model, without assuming normality.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1962.tb00445.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T05:17:57Z","timestamp":1544159877000},"page":"140-147","source":"Crossref","is-referenced-by-count":9,"title":["On the Effect of Non-Normality on the Estimation of Components of Variance"],"prefix":"10.1093","volume":"24","author":[{"given":"M.","family":"Atiqullah","sequence":"first","affiliation":[{"name":"Birkbeck College, University of London"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"2024090921175890300_cit1","doi-asserted-by":"crossref","first-page":"83","DOI":"10.1093\/biomet\/49.1-2.83","article-title":"The estimation of residual variance in quadratically balanced least squares problems and the robustness of the F-test","volume":"49","author":"Atiqullah","year":"1962","journal-title":"Biometrika"},{"key":"2024090921175890300_cit2","doi-asserted-by":"crossref","first-page":"136","DOI":"10.2307\/3001494","article-title":"Fiducial intervals for variance components","volume":"6","author":"Bross","year":"1950","journal-title":"Biometrics"},{"key":"2024090921175890300_cit3","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1093\/biomet\/44.1-2.159","article-title":"Approximate confidence limits for components of variance","volume":"44","author":"Bulmer","year":"1957","journal-title":"Biometrika"},{"key":"2024090921175890300_cit4","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1214\/aoms\/1177705158","article-title":"Theorems concerning Eisenhart\u2019s model II","volume":"32","author":"Graybill","year":"1961","journal-title":"Ann. math. 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