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Improved Robust Test Statistic Based on Trimmed Means and Hall's Transformation for Two-way ANOVA Models Under Non-normality

Author

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  • Wei-Ming Luh
  • Jiin-Huarng Guo

Abstract

For the two-way fixed effects ANOVA, under assumption violations, the present study employs trimmed means and Hall's transformation to correct asymmetry, and an approximate test, such as the Alexander-Govern or Welch-James test, to correct heterogeneity. The unweighted as well as weighted means analyses of omnibus effects in unbalanced designs were considered. A simulated data set was presented and computer simulations were performed to investigate the small-sample properties of the methods. The simulation results show that the proposed technique is valid and powerful compared with the conventional methods.

Suggested Citation

  • Wei-Ming Luh & Jiin-Huarng Guo, 2004. "Improved Robust Test Statistic Based on Trimmed Means and Hall's Transformation for Two-way ANOVA Models Under Non-normality," Journal of Applied Statistics, Taylor & Francis Journals, vol. 31(6), pages 623-643.
    • Handle: RePEc:taf:japsta:v:31:y:2004:i:6:p:623-643
    DOI: 10.1080/1478881042000214622
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