Listy Biometryczne - Biometrical Letters vol. 42(1), 2005, pp. 25-41
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A NOTE ON DESIGNS FOR ESTIMATING POPULATION PARAMETERS
Monika Entholzner1,2, Norbert Benda2, Thomas Schmelter1,2, Rainer Schwabe1 1Otto von Guericke University, Institute for Mathematical Stochastics, PF 4120, D-39 016 Magdeburg, Germany, rainer.schwabe@mathematik.uni-magdeburg.de 2Schering AG, D-13 342 Berlin, Germany |
In various fields, data from repeated measurements are pooled across individuals to obtain valid estimates for population characteristics. If the individual effects are treated as random, mixed models can be fitted to the data. In the case where the same design is used for all individuals, the ordinary and the weighted least squares estimator both coincide with the average of individually fitted curves. In this situation optimal and efficient designs can be obtained.
Optimal design, mixed model, weighted least squares, population parameters, repeated measurements, random regression, random coefficient regression, hierarchical model, growth curves
