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1 results

  • Robust Nonorthogonal Analyses Revisited: An Update Based on Trimmed Means

  • H. J. Keselman, Rhonda K. Kowalchuk, Lisa M. Lix
  • Journal:
    Psychometrika / Volume 63 / Issue 2 / June 1998
    Published online by Cambridge University Press:
    01 January 2025, pp. 145-163

  • Three approaches to the analysis of main and interaction effect hypotheses in nonorthogonal designs were compared in a 2 × 2 design for data that was neither normal in form nor equal in variance. The approaches involved either least squares or robust estimators of central tendency and variability and/or a test statistic that either pools or does not pool sources of variance. Specifically, we compared the ANOVA F test which used trimmed means and Winsorized variances, the Welch-James test with the usual least squares estimators for central tendency and variability and the Welch-James test using trimmed means and Winsorized variances. As hypothesized, we found that the latter approach provided excellent Type I error control, whereas the former two did not.