Comparing J independent groups with a method based on trimmed means |
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Authors: | A Firat Ozdemir Rand Wilcox Engin Yildiztepe |
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Institution: | 1. Dokuz Eylul University, Faculty of Science, Department of Statistics, Buca, Izmir, Turkey;2. University of Southern California, Psychology, Los Angeles, USA |
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Abstract: | 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. |
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Keywords: | ANOVA Bootstrap-t Percentile bootstrap Trimmed mean |
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