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For this purpose, a new statistic is proposed and its distributional properties are discussed. The method itself is exploratory in nature, but exact significance tests are available. Several examples illustrate the method. Computational aspects are discussed.<\/jats:p>","DOI":"10.1111\/j.2517-6161.1978.tb01652.x","type":"journal-article","created":{"date-parts":[[2018,12,7]],"date-time":"2018-12-07T05:08:46Z","timestamp":1544159326000},"page":"85-93","source":"Crossref","is-referenced-by-count":193,"title":["Finding the Outliers that Matter"],"prefix":"10.1093","volume":"40","author":[{"given":"David F.","family":"Andrews","sequence":"first","affiliation":[{"name":"University of Toronto \u00a0 Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Daryl","family":"Pregibon","sequence":"additional","affiliation":[{"name":"University of Toronto \u00a0 Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"286","published-online":{"date-parts":[[2018,12,5]]},"reference":[{"key":"2024090920482634500_rssb01652-cit-0001","volume-title":"Determinants and Matrices","author":"Aitken","year":"1958","edition":"9th ed."},{"key":"2024090920482634500_rssb01652-cit-0002","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1093\/biomet\/58.1.139","article-title":"Significance tests based on residuals","volume":"58","author":"Andrews","year":"1971","journal-title":"Biometrika"},{"key":"2024090920482634500_rssb01652-cit-0003","doi-asserted-by":"crossref","first-page":"367","DOI":"10.1214\/aos\/1176342376","article-title":"A general method for the approximation of tail areas","volume":"1","author":"Andrews","year":"1973","journal-title":"Ann. 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