pp 1–22 | Cite as

Optimal designs in multiple group random coefficient regression models

  • Maryna PrusEmail author
Original Paper


The subject of this work is multiple group random coefficients regression models with several treatments and one control group. Such models are often used for studies with cluster randomized trials. We investigate A-, D- and E-optimal designs for estimation and prediction of fixed and random treatment effects, respectively, and illustrate the obtained results by numerical examples.


Optimal design Treatment and control Random effects Cluster randomization Mixed models Estimation and prediction 

Mathematics Subject Classification




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Copyright information

© Sociedad de Estadística e Investigación Operativa 2019

Authors and Affiliations

  1. 1.Institute for Mathematical StochasticsOtto von Guericke UniversityMagdeburgGermany

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