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ANOVA - The Effect of Outliers
Uppsala University, Disciplinary Domain of Humanities and Social Sciences, Faculty of Social Sciences, Department of Statistics.
2016 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

This bachelor’s thesis focuses on the effect of outliers on the one-way analysis of variance and examines whether the estimate in ANOVA is robust and whether the actual test itself is robust from influence of extreme outliers. The robustness of the estimates is examined using the breakdown point while the robustness of the test is examined by simulating the hypothesis test under some extreme situations. This study finds evidence that the estimates in ANOVA are sensitive to outliers, i.e. that the procedure is not robust. Samples with a larger portion of extreme outliers have a higher type-I error probability than the expected level.

Place, publisher, year, edition, pages
Keyword [en]
Analysis of variance, ANOVA, outlier, outlying observation, typ-1 error, robust
National Category
Probability Theory and Statistics
URN: urn:nbn:se:uu:diva-295864OAI: oai:DiVA.org:uu-295864DiVA: diva2:935253
Subject / course
Available from: 2016-06-27 Created: 2016-06-10 Last updated: 2016-06-27Bibliographically approved

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Department of Statistics
Probability Theory and Statistics

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