3Linear Mixed-Effects Models—Normal Theory

3.1 The linear mixed-effects (LME) model

3.2 Examples

3.3 Summary

Within linear models, there are two distinct stochastic mechanisms for determining the overall correlation structure associated with repeated measurements and/or clustered data. In the marginal linear model of the preceding chapter, we account for correlation among observations from the same individual or unit by specifying a within-unit random error vector and its covariance structure. This approach assumes that random error vectors between units are independently distributed according to a multivariate normal distribution that varies between units only its dimension. In the repeated measurements setting, for example, we might regard ...

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