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

Mustafa ÇAVUŞ; Berna YAZICI; Ahmet SEZER

doi:https://doi.org/10.31801/cfsuasmas.800452

Makale detayları

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

Yazarlar:

Mustafa ÇAVUŞ | Berna YAZICI | Ahmet SEZER

Yayıncı:

Ankara University

Ana Başlıklar:

Olasılıklar ve uygulamalı matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2021 Vol.70 Issue 2, pp.1036-1054

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000908931

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.800452

Özet:

 

The non-normality may occur in the data due to several reasons such as the presence of the outlier or skewness. It leads to lose the power and fail to control Type I error probability of the tests which are used to test the equality of the group means under heteroscedasticity. To overcome this problem, a revised generalized F-test (RGF) is proposed to test the equality of group means under heteroscedasticity in which non-normality caused by skewness in this study. An extensive Monte-Carlo simulation study is conducted to investigate the performance of the proposed test under several values of skewness for different number of groups. The proposed RGF is the best choice in the high level of skewness for k = 3, 4, 5. The Kruskal-Wallis test shows better performance than the others in small and moderate sample sizes for k = 6, and 7. It is shown that the proposed RGF test is superior than the non-parametric alternatives in the most of the conditions.

Makale detayları

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

Yazarlar: Mustafa ÇAVUŞ | Berna YAZICI | Ahmet SEZER

Yayıncı: Ankara University

Ana Başlıklar: Olasılıklar ve uygulamalı matematik

Dergi: Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2021 Vol.70 Issue 2, pp.1036-1054

Belge Tipi: Makale

Yayın Tarihi: 12/2021

Belge Dili: İngilizce

Document ID (Org No.): 2000908931

Sıklık: Üç Aylık

eISSN: 2618-6470

pISSN: 1303-5991

DOI: https://doi.org/10.31801/cfsuasmas.800452

Sayı

Yazarlar:

Mustafa ÇAVUŞ | Berna YAZICI | Ahmet SEZER

Yayıncı:

Ankara University

Ana Başlıklar:

Olasılıklar ve uygulamalı matematik

Dergi:

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 2021 Vol.70 Issue 2, pp.1036-1054

Belge Tipi:

Makale

Yayın Tarihi:

12/2021

Belge Dili:

İngilizce

Document ID (Org No.):

2000908931

Sıklık:

Üç Aylık

eISSN:

2618-6470

pISSN:

1303-5991

DOI:

https://doi.org/10.31801/cfsuasmas.800452