- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 70 Issue: 1
- Nonparametric modeling via two-way mixed effects design
Nonparametric modeling via two-way mixed effects design
Authors : Sevgi Demircioğlu, Bilgehan Güven
Pages : 194-204
Doi:10.31801/cfsuasmas.726132
View : 10 | Download : 6
Publication Date : 2021-06-30
Article Type : Research
Abstract :The 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.Keywords : Two-way Mixed Effects Design, Symmetry Assumption, Hypothesis Testing, Asymptotic Normality