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

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  • Jesper Ryden
  • Sven Erick Alm

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.

Suggested Citation

  • Jesper Ryden & Sven Erick Alm, 2010. "The effect of interaction and rounding error in two-way ANOVA: example of impact on testing for normality," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(10), pages 1695-1701.
  • Handle: RePEc:taf:japsta:v:37:y:2010:i:10:p:1695-1701
    DOI: 10.1080/02664760903143925
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    References listed on IDEAS

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    1. G. N. Wilkinson & C. E. Rogers, 1973. "Symbolic Description of Factorial Models for Analysis of Variance," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 22(3), pages 392-399, November.
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