When can random effects be treated as fixed effects for computing a test statistic for a linear hypothesis?

Justus F. Seely Department of Statistics, Oregon State University, Corvallis, Oregon

El-Houssainy Rady Institute of Statistical Studies and Research, Cairo University, Cairo, Egypt

Pages 1089-1109 | Published online: 27 Jun 2007

Cite this article
https://doi.org/10.1080/03610928808829673

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Abstract

The Idea of treating the random effects as fixed for constructing a test for a linear hypothesis (of fixed effects) in a mixed linear model is considered in this paper. The paper examines when such a test statistic can be computed and what are its distributional properties with respect to the actual mixed model.

Keywords:

mixed linear model
fixed effects
linear hypothesis
F-test

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