title: Maximin D-optimal designs for longitudinal mixed effects models.
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.
authors.affiliation: Department of Methodology and Statistics, Maastricht University, P.O. Box 616, 6200 MD Maastricht, The Netherlands. mario.ouwens@stat.unimaas.nl
authors.forename: Mario J N M
authors.initials: MJ
authors.lastname: Ouwens
authors.forename: Frans E S
authors.initials: FE
authors.lastname: Tan
authors.forename: Martijn P F
authors.initials: MP
authors.lastname: Berger
mesh_terms: D002648:Child; D002675:Child, Preschool; D015331:Cohort Studies; D006128:Growth; D006801:Humans; D016014:Linear Models; D008137:Longitudinal Studies; D008954:Models, Biological; D012107:Research Design