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dc.contributor.authorAkritas, Michael G.en
dc.contributor.authorPapadatos, Nickosen
dc.creatorAkritas, Michael G.en
dc.creatorPapadatos, Nickosen
dc.date.accessioned2019-12-02T10:33:23Z
dc.date.available2019-12-02T10:33:23Z
dc.date.issued2004
dc.identifier.urihttp://gnosis.library.ucy.ac.cy/handle/7/56364
dc.description.abstractRecent articles have considered the asymptotic behavior of the one-way analysis of variance (ANOVA) F statistic when the number of levels or groups is large. In these articles, the results were obtained under the assumption of homoscedasticity and for the case when the sample or group sizes n i remain fixed as the number of groups, a, tends to infinity. In this article, we study both weighted and unweighted test statistics in the heteroscedastic case. The unweighted statistic is new and can be used even with small group sizes. We demonstrate that an asymptotic approximation to the distribution of the weighted statistic is possible only if the group sizes tend to infinity suitably fast in relation to a. Our investigation of local alternatives reveals a similarity between lack-of-fit tests for constant regression in the present case of replicated observations and the case of no replications, which uses smoothing techniques. The asymptotic theory uses a novel application of the projection principle to obtain the asymptotic distribution of quadratic forms.en
dc.sourceJournal of the American Statistical Associationen
dc.source.urihttps://www.scopus.com/inward/record.uri?eid=2-s2.0-2542536647&doi=10.1198%2f016214504000000412&partnerID=40&md5=3da78bab56b7b1490cfb1d843b943f20
dc.subjectRegressionen
dc.subjectQuadratic formsen
dc.subjectLarge number of factor levelsen
dc.subjectLocal alternativesen
dc.subjectProjection methoden
dc.subjectUnbalanced modelsen
dc.titleHeteroscedastic one-way ANOVA and lack-of-fit testsen
dc.typeinfo:eu-repo/semantics/article
dc.identifier.doi10.1198/016214504000000412
dc.description.volume99
dc.description.issue466
dc.description.startingpage368
dc.description.endingpage382
dc.author.facultyΣχολή Θετικών και Εφαρμοσμένων Επιστημών / Faculty of Pure and Applied Sciences
dc.author.departmentΤμήμα Μαθηματικών και Στατιστικής / Department of Mathematics and Statistics
dc.type.uhtypeArticleen
dc.description.notes<p>Cited By :46</p>en
dc.source.abbreviationJ.Am.Stat.Assoc.en


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