Nonparametric Competitors to the Two-Way ANOVA

Larry E. Toothaker and Newman De

Journal of Educational and Behavioral Statistics, 1994, vol. 19, issue 3, 237-273

Abstract: The ANOVA F and several nonparametric competitors for two-way designs were compared for empirical α and power. Simulation of 2 × 2, 2 × 4, and 4 × 4 designs was done with cell sizes of 5 and 10 when sampling from normal, exponential, and mixed normal distributions. Conservatism of both α and power in the presence of other nonnull effects was seen in the tests due to Puri and Sen (1985) and, to a lesser degree, in the rank transform tests ( Conover & Iman, 1981 ). Tests by McSweeney (1967) and Hettmansperger (1984) had liberal α for some designs and distributions, especially for small n. The ANOVA F suffers from conservative α and power for the mixed normal distribution, but it is generally recommended.

Keywords: two-way designs; ANOVA; nonparametric tests (search for similar items in EconPapers)
Date: 1994
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Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:19:y:1994:i:3:p:237-273

DOI: 10.3102/10769986019003237

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