Maximin D-optimal designs for longitudinal mixed effects models |
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Authors: | Ouwens Mario J N M Tan Frans E S Berger Martijn P F |
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Institution: | Department of Methodology and Statistics, Maastricht University, P.O. Box 616, 6200 MD Maastricht, The Netherlands. mario.ouwens@stat.unimaas.nl |
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Abstract: | In this article, the optimal selection and allocation of time points in repeated measures experiments is considered. D-optimal cohort designs are computed numerically for the first- and second-degree polynomial models with random intercept, random slope, and first-order autoregressive serial correlations. Because the optimal designs are locally optimal, it is proposed to use a maximin criterion. It is shown that, for a large class of symmetric designs, the smallest relative efficiency over the model parameter space is substantial. |
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Keywords: | Cohort designs D-optimality Maximin designs Random effects Robust designs |
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