Thesis Type: Postgraduate
Institution Of The Thesis: Gazi University, Fen Bilimleri Enstitüsü, İSTATİSTİK ANABİLİM DALI, Turkey
Approval Date: 2013
Thesis Language: Turkish
Student: SEVGİ AKCENGİZ
Supervisor: HAMZA GAMGAM
Open Archive Collection: AVESIS Open Access Collection
Abstract:One-way analysis of variance is used to compare means of two or more samples and known as F test. Sometimes, the data structure is appropriate for U-Shaped Alternatives. Abebe - Singh test statistic is proposed for this alternatives. In this study, a new test statistic is proposed for U-Shaped Alternatives which is based on Wilcoxon Signed Ranks Test. A numerical example is made with same data for both proposed test statistic and Abebe - Singh test statistic. Afterwards these test statistics are compared according to their empirical type I error rates and power of by generating random numbers from exponential, weibull and normal distribution and normal distribution with different parametres.