Nonparametric modeling via two-way mixed effects design

Year 2021, Volume: 70 Issue: 1, 194 - 204, 30.06.2021

Sevgi Demircioğlu Bilgehan Güven

https://doi.org/10.31801/cfsuasmas.726132

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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