The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Summarizing Monte Carlo Results in Methodological Research: The One- and Two-Factor Fixed Effects ANOVA Cases
Abstract
Meta-analytic methods were used to integrate the findings of a sample of Monte Carlo studies of the robustness of the F test in the one- and two-factor fixed effects ANOVA models. Monte Carlo results for the Welch (1947) and Kruskal-Wallis (Kruskal & Wallis, 1952) tests were also analyzed. The meta-analytic results provided strong support for the robustness of the Type I error rate of the F test when certain assumptions were violated. The F test also showed excellent power properties. However, the Type I error rate of the F test was sensitive to unequal variances, even when sample sizes were equal. The error rate of the Welch test was insensitive to unequal variances when the population distribution was normal, but nonnormal distributions tended to inflate its error rate and to depress its power. Meta-analytic and exact statistical theory results were used to summarize the effects of assumption violations for the tests.
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Modern robust statistical methods: An easy way to maximize the accuracy and power of your research.
Erceg-Hurn, D. M., & Mirosevich, V. M. (2008) · American Psychologist · doi:10.1037/0003-066x.63.7.591 · Cited by 959
Statistical considerations in the design and analysis of community intervention trials
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Metadata
- Authors
- Harwell, M. R., Rubinstein, E. N., Hayes, W. S., & Olds, C. C.
- Venue
- Journal of Educational Statistics
- Published
- 1992-12
- Volume
- 17
- Issue
- 4
- Pages
- 315-339
- ISSN
- 0362-9791 (ISSN-L)
- OpenAlex
- W2153635621
- Cited by
- 484
- References
- 4
- FWCI
- 3.21
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- journals.sagepub.com/page/policies/text-and-data-mining-license (tdm)
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