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The effect of interaction and rounding error in two-way ANOVA: example of impact on testing for normality
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
Uppsala University, Disciplinary Domain of Science and Technology, Mathematics and Computer Science, Department of Mathematics, Mathematical Statistics.
2010 (English)In: Journal of Applied Statistics, ISSN 0266-4763, E-ISSN 1360-0532, Vol. 37, no 10, 1695-1701 p.Article in journal (Refereed) Published
Abstract [en]

A key issue in various applications of analysis of variance (ANOVA) is testing for the interaction and the interpretation of resulting ANOVA tables. In this note it is demonstrated that for a two-way ANOVA, whether interactions are incorporated or not may have a dramatic influence when considering the usual statistical tests for normality of residuals. The effect of numerical rounding is also discussed.

Place, publisher, year, edition, pages
2010. Vol. 37, no 10, 1695-1701 p.
Keyword [en]
analysis of variance, rounding error, Shapiro-Wilk test, factorial experiment, interaction
National Category
Probability Theory and Statistics
Identifiers
URN: urn:nbn:se:uu:diva-134773DOI: 10.1080/02664760903143925ISI: 000282026800006OAI: oai:DiVA.org:uu-134773DiVA: diva2:373662
Available from: 2010-12-01 Created: 2010-12-01 Last updated: 2017-12-12Bibliographically approved

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Rydén, Jesper

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