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1 results

  • Robust and Powerful Nonorthogonal Analyses

  • H. J. Keselman, K. C. Carriere, Lisa M. Lix
  • Journal:
    Psychometrika / Volume 60 / Issue 3 / September 1995
    Published online by Cambridge University Press:
    01 January 2025, pp. 395-418

  • Numerous types of analyses for factorial designs having unequal cell frequencies have been discussed in the literature. These analyses test either weighted or unweighted marginal means which, in turn, correspond to different model comparisons. Previous research has indicated, however, that these analyses result in biased (liberal or conservative) tests when cell variances are heterogeneous. We show how to obtain a generally robust and powerful analysis with any of the recommended nonorthogonal solutions by adapting a modification of the Welch-James procedure for comparing means when population variances are heterogeneous.