Author/Authors
YİĞİT, Esra Gazi Üniversitesi - Fen-Edebiyat Fakültesi - İstatistik Bölümü, Turkey , GAMGAM, Hamza Gazi Üniversitesi - Fen-Edebiyat Fakültesi - İstatistik Bölümü, Turkey
Title Of Article
THE TESTS PROPOSED FOR THE ONE-WAY ANOVA UNDER UNEQUAL VARIANCES AND SIMULATION STUDY
شماره ركورد
41840
Abstract
Classical F-test to compare several means depends on the assumptions of homogenety of populations variances and normality. When these assumptions-especially the equality of variance-is dropped, classical F-test fails to reject the null hypothesis even the data actually provides strong evidence to do so. This can be considered as a serious problem in some applications especially when the sample size is not large. For this problem, a large number of tests are available in the literature. In this study Brown-Forsythe, generalized F, Scott-Smith, Welch, Xu-Wang are introduced. Also a simulation study is performed to compare these tests in different combination of variance, means, population number and sample size.
From Page
57
NaturalLanguageKeyword
The Brown , Forsythe test , The Genelleştirilmiş F test , The Scott , Smith test , The Welch test , The Xu , Wang test.
JournalTitle
Eskişehir Technical University Journal of Science and Technology B - Theoretical Sciences
To Page
71
JournalTitle
Eskişehir Technical University Journal of Science and Technology B - Theoretical Sciences
Link To Document