A revised generalized F-test for testing the equality of group means under non-normality caused by skewness

DOI10.31801/cfsuasmas.800452zbMath1489.62218OpenAlexW3217090482MaRDI QIDQ5083810

Mustafa Cavus, Berna Yazici, Ahmet Dundar Sezer

Publication date: 21 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.31801/cfsuasmas.800452

zbMATH Keywords

ANOVAnon-normalitygeneralized \(p\)-valueskewed distributionpenalized power

Mathematics Subject Classification ID

Design of statistical experiments (62K99) Parametric hypothesis testing (62F03) Analysis of variance and covariance (ANOVA) (62J10)

Uses Software

• doex

Cites Work

• Properties and estimation of asymmetric exponential power distribution
• Robust weighted one-way ANOVA: improved approximation and efficiency
• Effect of non-normality on test statistics for one-way independent groups designs
• Box-Type Approximations in Nonparametric Factorial Designs
• Modified tests for comparison of group means under heteroskedasticity and non-normality caused by outlier(s)
• Penalized power approach to compare the power of the tests when Type I error probabilities are different
• Comparing J independent groups with a method based on trimmed means
• Robust Estimation of a Location Parameter
• Use of Ranks in One-Criterion Variance Analysis
• A comparative study of computation approaches of the generalized F-test
• Unnamed Item

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