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Optimal Designs for Prediction in Two Treatment Groups Random Coefficient Regression Models

In: Mindful Topics on Risk Analysis and Design of Experiments

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  • Maryna Prus

    (Otto-von-Guericke University)

Abstract

The subject of this work is two treatment groups random coefficient regression models, in which observational units receive some group-specific treatments. We provide A- and D-optimal designs (optimal group sizes) for the estimation of fixed effects and the prediction of random effects. We illustrate the obtained results by a numerical example.

Suggested Citation

  • Maryna Prus, 2022. "Optimal Designs for Prediction in Two Treatment Groups Random Coefficient Regression Models," Springer Books, in: Jürgen Pilz & Teresa A. Oliveira & Karl Moder & Christos P. Kitsos (ed.), Mindful Topics on Risk Analysis and Design of Experiments, pages 147-159, Springer.
  • Handle: RePEc:spr:sprchp:978-3-031-06685-6_11
    DOI: 10.1007/978-3-031-06685-6_11
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