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Browsing by Subject "Random coefficient regression"

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    Computational aspects of experimental designs in multiple-group mixed models
    (2023) Prus, Maryna; Filová, Lenka; Prus, Maryna; Division of Statistics and Machine Learning, Linköping University, Linköping, Sweden; Filová, Lenka; Faculty of Mathematics, Physics and Informatics, Comenius University in Bratislava, Bratislava, Slovakia
    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.