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Published in:
2017 | OriginalPaper | Chapter
17. Random Effects and Variance Components
Authors : Angela Dean, Daniel Voss, Danel Draguljić
Published in: Design and Analysis of Experiments
Publisher: Springer International Publishing
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Abstract
If the levels of a treatment factor used in an experiment are selected at random from a large population of possible levels, the effects of that factor are known as random effects. Random-effects models are discussed in this chapter. Of main concern is the variability of the effects of all the levels in the population rather than comparison of the effects of the few levels observed. The sample size calculation and modeling are introduced via experiments containing one random effect and are then extended to experiments with two or more random effects. The analysis of mixed-effects models is also discussed in which both fixed effects and random effects are present. The concepts introduced in this chapter are illustrated through examples and the use of SAS and R software.