Are multiple contrast tests superior to the ANOVA?

Frank Konietschke; Sandra Bösiger; Edgar Brunner; Ludwig A. Hothorn

doi:10.1515/ijb-2012-0020

Details

Originalsprache	Englisch
Fachzeitschrift	International Journal of Biostatistics
Jahrgang	9
Ausgabenummer	1
Publikationsstatus	Veröffentlicht - 1 Aug. 2013

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.

ASJC Scopus Sachgebiete

Mathematik (insg.)
Statistik und Wahrscheinlichkeit
Entscheidungswissenschaften (insg.)
Statistik, Wahrscheinlichkeit und Ungewissheit

Zitieren

Are multiple contrast tests superior to the ANOVA? / Konietschke, Frank; Bösiger, Sandra; Brunner, Edgar et al.
in: International Journal of Biostatistics, Jahrgang 9, Nr. 1, 01.08.2013.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Konietschke, F, Bösiger, S, Brunner, E & Hothorn, LA 2013, 'Are multiple contrast tests superior to the ANOVA?', International Journal of Biostatistics, Jg. 9, Nr. 1. https://doi.org/10.1515/ijb-2012-0020, https://doi.org/10.15488/2289

Konietschke, F., Bösiger, S., Brunner, E., & Hothorn, L. A. (2013). Are multiple contrast tests superior to the ANOVA? International Journal of Biostatistics, 9(1). https://doi.org/10.1515/ijb-2012-0020, https://doi.org/10.15488/2289

Konietschke F, Bösiger S, Brunner E, Hothorn LA. Are multiple contrast tests superior to the ANOVA? International Journal of Biostatistics. 2013 Aug 1;9(1). doi: 10.1515/ijb-2012-0020, 10.15488/2289

Konietschke, Frank ; Bösiger, Sandra ; Brunner, Edgar et al. / Are multiple contrast tests superior to the ANOVA?. in: International Journal of Biostatistics. 2013 ; Jahrgang 9, Nr. 1.

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title = "Are multiple contrast tests superior to the ANOVA?",

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.",

keywords = "Analysis of variance, Least favorable configuration, Multiple contrast tests, Multivariate t-distribution, One-way layout, Sample size computations",

author = "Frank Konietschke and Sandra B{\"o}siger and Edgar Brunner and Hothorn, {Ludwig A.}",

note = "Funding Information: Acknowledgments: The authors are grateful to an Associate Editor and two anonymous referees for helpful comments which considerably improved the article. This work was supported by the German Research Foundation projects DFG-Br 655/16–1 and Ho 1687/9–1.",

year = "2013",

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doi = "10.1515/ijb-2012-0020",

language = "English",

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