Linear Mixed Models

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


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.


Variance Component Usual Assumption Block Diagonal Matrix Dispersion Matrix Shrinkage Estimator 
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Copyright information

© Springer-Verlag London Limited 2012

Authors and Affiliations

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

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