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Linear Mixed Models

  • R. B. Bapat
Part of the Universitext book series (UTX)

Abstract

Fixed effects and random effects models are introduced with examples. Maximum likelihood (ML), restricted maximum likelihood (REML) and ANOVA methods of estimation of variance components are described, illustrating with the examples of one-way and two-way classification. Prediction of random effects is considered and the estimated best linear unbiased predictor (EBLUP) or the shrinkage estimator is developed.

Keywords

Variance Component Usual Assumption Block Diagonal Matrix Dispersion Matrix Shrinkage Estimator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag London Limited 2012

Authors and Affiliations

  • R. B. Bapat
    • 1
  1. 1.Indian Statistical InstituteNew DelhiIndia

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