Are multiple contrast tests superior to the ANOVA?

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dc.identifier.uri http://dx.doi.org/10.15488/2289
dc.identifier.uri http://www.repo.uni-hannover.de/handle/123456789/2315
dc.contributor.author Konietschke, Frank
dc.contributor.author Bösiger, Sandra
dc.contributor.author Brunner, Edgar
dc.contributor.author Hothorn, Ludwig A.
dc.date.accessioned 2017-11-17T08:10:20Z
dc.date.available 2017-11-17T08:10:20Z
dc.date.issued 2013
dc.identifier.citation Konietschke, F.; Bösiger, S.; Brunner, E.; Hothorn, L.A.: Are multiple contrast tests superior to the ANOVA?. In: International Journal of Biostatistics 9 (2013), Nr. 1, S. 63-73. DOI: https://doi.org/10.1515/ijb-2012-0020
dc.description.abstract Multiple contrast tests can be used to test arbitrary linear hypotheses by providing local and global test decisions as well as simultaneous confidence intervals. The ANOVA-F-test on the contrary can be used to test the global null hypothesis of no treatment effect. Thus, multiple contrast tests provide more information than the analysis of variance (ANOVA) by offering which levels cause the significance. We compare the exact powers of the ANOVA-F-test and multiple contrast tests to reject the global null hypothesis. Hereby, we compute their least favorable configurations (LFCs). It turns out that both procedures have the same LFCs under certain conditions. Exact power investigations show that their powers are equal to detect their LFCs. © 2013 Elsevier BV. eng
dc.language.iso eng
dc.publisher Berlin : Walter de Gruyter
dc.relation.ispartofseries International Journal of Biostatistics 9 (2013), Nr. 1
dc.rights Es gilt deutsches Urheberrecht. Das Dokument darf zum eigenen Gebrauch kostenfrei genutzt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. Dieser Beitrag ist aufgrund einer (DFG-geförderten) Allianz- bzw. Nationallizenz frei zugänglich.
dc.subject Analysis of variance eng
dc.subject Least favorable configuration eng
dc.subject Multiple contrast tests eng
dc.subject Multivariate t-distribution eng
dc.subject One-way layout eng
dc.subject Sample size computations eng
dc.subject analysis of variance eng
dc.subject article eng
dc.subject confidence interval eng
dc.subject intermethod comparison eng
dc.subject multiple contrast test eng
dc.subject null hypothesis eng
dc.subject power analysis eng
dc.subject statistical analysis eng
dc.subject statistical distribution eng
dc.subject statistical model eng
dc.subject Analysis of Variance eng
dc.subject Confidence Intervals eng
dc.subject Humans eng
dc.subject Models, Statistical eng
dc.subject Research Design eng
dc.subject.ddc 570 | Biowissenschaften, Biologie ger
dc.title Are multiple contrast tests superior to the ANOVA? eng
dc.type Article
dc.type Text
dc.relation.issn 1557-4679
dc.relation.doi https://doi.org/10.1515/ijb-2012-0020
dc.bibliographicCitation.issue 1
dc.bibliographicCitation.volume 9
dc.bibliographicCitation.firstPage 63
dc.bibliographicCitation.lastPage 73
dc.description.version publishedVersion
tib.accessRights frei zug�nglich


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