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Computational aspects of experimental designs in multiple-group mixed models

Author

Listed:
  • Maryna Prus

    (University of Hohenheim
    Linköping University)

  • Lenka Filová

    (Comenius University in Bratislava)

Abstract

We extend the equivariance and invariance conditions for construction of optimal designs to multiple-group mixed models and, hence, derive the support of optimal designs for first- and second-order models on a symmetric square. Moreover, we provide a tool for computation of D- and L-efficient exact designs in multiple-group mixed models by adapting the algorithm of Harman et al. (Appl Stoch Models Bus Ind, 32:3–17, 2016). We show that this algorithm can be used both for size-constrained problems and also in settings that require multiple resource constraints on the design, such as cost constraints or marginal constraints.

Suggested Citation

  • Maryna Prus & Lenka Filová, 2024. "Computational aspects of experimental designs in multiple-group mixed models," Statistical Papers, Springer, vol. 65(2), pages 865-886, April.
    • Handle: RePEc:spr:stpapr:v:65:y:2024:i:2:d:10.1007_s00362-023-01416-1
    DOI: 10.1007/s00362-023-01416-1
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