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Öğe Karışık Varyans Analizi Modelinde Etki Faktorünün Rassallık Testi(TÜİK, 2013) Güven, BilgehanBu çalışmada bazı karışık varyans modelleri genelleştirildi. Bu modellerin rassal etki faktörleri ve hata terimleri normal olmayan bir kitleden geldiği varsayıldı. Etki faktörünün rassallığını test eden bir test elde edildi ve bu testin sağlamlığı çalışıldıÖğe Nonparametric modeling via two-way mixed effects design(Ankara University, 2021) Demircioğlu, Sevgi; Güven, BilgehanThe classical F-test for testing the hypothesis of no fixed main effects in a mixed effects design is valid under the assumption of normality, symmetry and variance homogeneity of the error terms assumption. We consider the two-way mixed effects design which does not require these three assumptions. A test procedure for the hypothesis of no main fixed effects is developed under this flexible model. The asymptotic distribution of the test statistic is studied for a large number of levels of the random effects.Öğe Testing for main fixed effects: The symmetry assumption and monotone incomplete data(Taylor & Francis Inc, 2024) Demircioğlu, Sevgi; Güven, BilgehanWe consider the balanced two-way mixed effects design with some empty cells. A test procedure for the hypothesis of no main fixed effects is developed under violation of the assumption of variance homogeneity and symmetry. The asymptotic null distribution of the test statistics is studied under the condition that the number of levels of the random effects tends to infinity as both the number of complete and incomplete observations tend to infinity. An illustrative example is given.Öğe Testing for random interaction: The symmetry assumption(Taylor & Francis Inc, 2025) Güven, BilgehanThe F-test for the hypothesis of no interaction effects in any mixed model is valid under the assumption of normality, symmetry, and variance homogeneity of the error terms. We consider the balanced two-way mixed model in which the usual assumptions do not hold. The model allows for dependence of the random main and interaction effects, variance heterogeneity in the random interaction effects and error terms and also do not require normality. We propose the test for testing the hypothesis of no interaction effect in this model. The asymptotic null distribution of the test statistic is the normal distribution and studied under the condition that the number of levels of random effect tends to be large.











