Comparing J independent groups with a method based on trimmed means

The ANOVA-F test is the most popular and commonly used procedure for comparing J independent groups. However, it is well known that this method is very sensitive to non-normality, which has led to the derivation of alternative techniques based on robust estimators. In this work, ANOVA-F-test, trimme...

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Bibliographic Details
Published in:Communications in statistics. Simulation and computation 2018-03, Vol.47 (3), p.852-863
Main Authors: Ozdemir, A. Firat, Wilcox, Rand, Yildiztepe, Engin
Format: Article
Language:English
Subjects:
ANOVA
Bootstrap method
Bootstrap-t
Estimating techniques
Normality
Percentile bootstrap
Statistical analysis
Statistical methods
Test procedures
Trimmed mean
Variance analysis
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Summary:The ANOVA-F test is the most popular and commonly used procedure for comparing J independent groups. However, it is well known that this method is very sensitive to non-normality, which has led to the derivation of alternative techniques based on robust estimators. In this work, ANOVA-F-test, trimmed mean Welch test, bootstrap-t trimmed mean Welch test, Schrader and Hettmansperger method with trimmed means, a percentile bootstrap method with trimmed means and a newly proposed method were compared in terms of both the Type I error probability and power. The proposed method compares well with ANOVA-F and other alternatives under various situations.
ISSN:0361-0918
1532-4141
DOI:10.1080/03610918.2017.1295152