The effect of interaction and rounding error in two-way ANOVA: example of impact on testing for normality

Jesper Ryden and Sven Erick Alm

Journal of Applied Statistics, 2010, vol. 37, issue 10, 1695-1701

Abstract: 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.

Keywords: analysis of variance; rounding error; Shapiro-Wilk test; factorial experiment; interaction (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1080/02664760903143925

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