Preprint series: 04-25, Preprints
- 62K05 Optimal designs
- 62J10 Analysis of variance and covariance
- 62H12 Estimation
- 62P10 Applications to biology
Abstract: 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 that 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. The results are extended to situations where different treatments are compared.
Keywords: otimal design, mixed model, weighted least squares, population parameters, repeated measurements, random regression, random coefficient regression, hierarchical model, growth curves, treatment comparisons
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