Parametric Alternatives to the Analysis of Variance
- 1 September 1982
- journal article
- Published by American Educational Research Association (AERA) in Journal of Educational Statistics
- Vol. 7 (3), 207-214
- https://doi.org/10.3102/10769986007003207
Abstract
The ANOVA, Welch, and Brown and Forsyth tests for mean equality were compared using Monte Carlo methods. The tests’ rates of Type I error and power were examined when populations were non-normal, variances were heterogeneous, and group sizes were unequal. The ANOVA F test was most affected by the assumption violations. The test proposed by Brown and Forsyth appeared, on the average, to be the “best” test statistic for testing an omnibus hypothesis of mean equality.Keywords
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