Nonparametric modeling via two-way mixed effects design

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Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
Volume:70 Issue:1
Nonparametric modeling via two-way mixed effects design

Nonparametric modeling via two-way mixed effects design

Authors : Sevgi DEMİRCİOĞLU, Bilgehan GÜVEN

Pages : 194-204

Doi:10.31801/cfsuasmas.726132

View : 19 | Download : 11

Publication Date : 2021-06-30

Article Type : Research Paper

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

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