A New and Simpler Approximation for ANOVA Under Variance Heterogeneity

Ralph A. Alexander and Diane M. Govern

Journal of Educational and Behavioral Statistics, 1994, vol. 19, issue 2, 91-101

Abstract: A new approximation is proposed for testing the equality of k independent means in the face of heterogeneity of variance. Monte Carlo simulations show that the new procedure has Type I error rates that are very nearly nominal and Type II error rates that are quite close to those produced by James’s (1951) second-order approximation. In addition, it is computationally the simplest approximation yet to appear, and it is easily applied to Scheffé (1959) -type multiple contrasts and to the calculation of approximate tail probabilities.

Keywords: ANOVA; heteroscedasticity; statistical approximations (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:2:p:91-101

DOI: 10.3102/10769986019002091

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