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

Wei-Ming Luh and Jiin-Huarng Guo

Journal of Applied Statistics, 2004, vol. 31, issue 6, 623-643

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.

Keywords: Alexander-Govern Test; Computer Simulation; Non-orthogonal; Robustness; Welch-James Type; Winsorized Variance (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1080/1478881042000214622

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