Type I Error Probabilities and Power of the Rank and Parametric Ancova Procedures

Abstract
Empirical type I error rates and the power of the parametric and rank transform ANCOVA were compared for situations involving conditional distributions that differed between groups in skew and/or scale. For the conditions investigated in the study, the parametric ANCOVA was typically the procedure of choice both as a test of equality of conditional means and as a test of equality of conditional distributions. For those conditions in which rank ANCOVA was the procedure of choice, the power advantages were usually quite small.

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