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Leverage analysis for linear mixed models
Authors:Juvêncio S. Nobre  Julio M. Singer
Affiliation:1. Departamento de Estatística e Matemáca Aplicada , Universidade Federal do Ceará , Fortaleza, CE, 60455-760, Brazil;2. Instituto de Matemática e Estatística , Universidade de S?o Paulo , Caixa Postal 66281, S?o Paulo, SP, 05314-970, Brazil
Abstract:We consider a generalized leverage matrix useful for the identification of influential units and observations in linear mixed models and show how a decomposition of this matrix may be employed to identify high leverage points for both the marginal fitted values and the random effect component of the conditional fitted values. We illustrate the different uses of the two components of the decomposition with a simulated example as well as with a real data set.
Keywords:BLUP  generalized leverage  longitudinal data  repeated measures  linear mixed models
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