Results of simulationsclearly indicate that Generalized F-test modied with Huber'sM-estimators achieves the nominal type 1 error rate and provide higherpower than alternative methods.
📌 3 Maddede Bu Makale
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Amaç & Hipotez:There are several approximate tests proposed such as Welch's F-test(W), the Parametric Bootstrap Test (PB) and Generalized F-test (GF)for comparing several group means under heteroskedasticity.
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Temel Bulgular & Veri:Thesetests are powerful and have nominal type 1 error rates but they are notperforming satisfactorily under non-normality caused by outlier(s).
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Sonuç & Katkı:Results of simulationsclearly indicate that Generalized F-test modied with Huber'sM-estimators achieves the nominal type 1 error rate and provide higherpower than alternative methods.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri
Abstract
There are several approximate tests proposed such as Welch's F-test(W), the Parametric Bootstrap Test (PB) and Generalized F-test (GF)for comparing several group means under heteroskedasticity. Thesetests are powerful and have nominal type 1 error rates but they are notperforming satisfactorily under non-normality caused by outlier(s). Tohandle this problem, we investigate tests that are powerful and providenominal type 1 error rates by using robust estimators both forlocation and scale parameters. The performance of the modied testsare examined with Monte-Carlo simulation studies. Results of simulationsclearly indicate that Generalized F-test modied with Huber'sM-estimators achieves the nominal type 1 error rate and provide higherpower than alternative methods.
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Bu Makaleye Atıf Yap
YAZICI, B., ÇAVUŞOĞLU, M., SEZER, A. (2022). Modi ed tests for comparison of group means under heteroskedasticity and non-normality caused by outlier(s). Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 3, 493–510. https://ajindex.com/articles/529933
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