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Journal of Applied Sciences
  Year: 2004 | Volume: 4 | Issue: 1 | Page No.: 38-42
DOI: 10.3923/jas.2004.38.42
 
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Evaluation of Four Tests When Normality and Homogeneity of Variance Assumptions are Violated

Mehmet Mendes and Akin Pala

Abstract:
The present Monte Carlo study compared Type I error rates of four tests under nonnormality and heterogeneity of variance assumptions. Cochran test, Brown–Forsythe test, modified Brown–Forsythe test and approximate ANOVA F test were evaluated for three–and six different groups. At the end of 50,000 simulation trials, the Type I error rates for four tests were affected by the sample size, variance ratio, the number of groups and the relationship between sample sizes and groups variances. Type I error rates of the Brown Forsythe test, extension of the modified Brown–Forsythe test and approximate ANOVA F–test were close to the predetermined alpha levels (0.05), while Cochran tests greatly deviated from the predetermined level.
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How to cite this article:

Mehmet Mendes and Akin Pala, 2004. Evaluation of Four Tests When Normality and Homogeneity of Variance Assumptions are Violated. Journal of Applied Sciences, 4: 38-42.

DOI: 10.3923/jas.2004.38.42

URL: https://scialert.net/abstract/?doi=jas.2004.38.42

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