One way fixed effect analysis of variance under variance heterogeneity and a solution proposal
Yükleniyor...
Dosyalar
Tarih
2006
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Selcuk University Research Center of Applied Mathematics
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In the first part of this study, the results of heteroscedasticity in one way fixed effect ANOVA have been examined with a close concern on large sample approximations of treatment and error mean sum of squares and distortion of the distribution of the F ratio. Second part includes the presentation of new and simple approximation procedure which intends to create an easy and applicable alternative. The purpose of this new approximation procedure is to preserve the actual Type I error rate at a level determined by the researcher and to increase the power as well. Third part of the study consist of a simulation study which was implemented to compare the actual significance level and power of the new approximation, conventional F test and two other alternatives (Welch Test, Kruskal-Wallis Test). Finally, some recommendations about the preference of these tests for different types of experimental conditions were given.
Açıklama
http://sjam.selcuk.edu.tr/sjam/article/view/174
Anahtar Kelimeler
Heteroscedasticity, Heteroscedasite, F test, F testi, Welch test, Welch testi, Kruskal-Wallis test, Kruskal-Wallis testi
Kaynak
Selcuk Journal of Applied Mathematics
WoS Q Değeri
Scopus Q Değeri
Cilt
7
Sayı
Künye
Özdemir, A. F., Kurt, S. (2006). One way fixed effect analysis of variance under variance heterogeneity and a solution proposal. Selcuk Journal of Applied Mathematics, 7 (2), 81-90.
