by Schmelter, T..

**Series:** 2006-05, Preprints

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

**Abstract:**

We consider a general class of mixed models where the individual parameter vector is composed of a linear function of the population parameter vector plus a random effects vector. The linear function can vary between the different individuals. We show that the search for optimal designs for the estimation of the population parameter vector can be restricted to the class of group-wise identical designs, i. e. for each of the groups defined by the the different linear functions only one individual design has to be found. A way to apply the result to non-linear mixed models is described.

**Keywords:**

optimal design, mixed model, random coefficient regression,