Zurück zu den Preprints des Jahres 2005


On the Optimality of Single-Group Designs in Linear Mixed Models

by Schmelter, T..

Series: 2005-02, Preprints

62K05 Optimal designs
62J10 Analysis of variance and covariance
62H12 Estimation
62P10 Applications to biology and medical sciences

In this paper the class of designs for linear mixed models is considered where each individual is observed under a (possibly different) approximate design and the number of observations is the same for all individuals. It is then shown that the $\Phi$-optimal design in the class of balanced designs (single-group designs) for estimating the population parameters is also optimal in that wider class of designs mentioned before, where $\Phi$ is a convex and monotone criterion function that has to satisfy mild assumptions, which is e.g. the case for D-optimality and all linear criteria.

optimal design, mixed model, random coefficient regresion