Abstract
In this paper optimal designs for the estimation of the fixed effects (population parameters) in a certain class of mixed models are investigated. Two classes of designs are compared: the class of single-group designs, where all individuals are observed under the same approximate design, and the class of more-group designs with the same mean number of observations per individual as before, where each individual can be observed under a different approximate design. It is shown that any design that is Φ-optimal in the class of single-group designs is also Φ-optimal in the larger class of more-group designs. The considered optimality criteria only have to satisfy mild assumptions, which is eg the case for the D-criterion and all linear criteria.
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Schmelter, T. The Optimality of Single-group Designs for Certain Mixed Models. Metrika 65, 183–193 (2007). https://doi.org/10.1007/s00184-006-0068-5
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DOI: https://doi.org/10.1007/s00184-006-0068-5