Parametric Alternatives to the Analysis of Variance

Jennifer J. Clinch and H. J. Keselman

Journal of Educational and Behavioral Statistics, 1982, vol. 7, issue 3, 207-214

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: Tests for mean equality; assumption violations; Type I errors; power rates (search for similar items in EconPapers)
Date: 1982
References: Add references at CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://journals.sagepub.com/doi/10.3102/10769986007003207 (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:sae:jedbes:v:7:y:1982:i:3:p:207-214

DOI: 10.3102/10769986007003207

Access Statistics for this article

More articles in Journal of Educational and Behavioral Statistics
Bibliographic data for series maintained by SAGE Publications ().