Journal
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
Volume 30, Issue 12, Pages 2683-2697Publisher
MARCEL DEKKER INC
DOI: 10.1081/STA-100108453
Keywords
optimality criteria; level of randomization; sample sizes; pre-stratification
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In this paper optimal experimental designs for multilevel models with covariates and two levels of nesting are considered. Multilevel models are used to describe the relationship between an outcome variable and a treatment condition and covariate. It is assumed that the outcome variable is measured on a continuous scale. As optimality criteria D-optimality, and L-optimality are chosen. It is shown that pre-stratification on the covariate leads to a more efficient design and that the person level is the optimal level of randomization. Furthermore, optimal sample sizes are given and it is shown that these do not depend on the optimality criterion when randomization is done at the group level.
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