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D-Optimal Designs for Hierarchical Linear Models with Heteroscedastic Errors
- Source :
- Communications in Mathematics and Statistics. 10:669-679
- Publication Year :
- 2021
- Publisher :
- Springer Science and Business Media LLC, 2021.
-
Abstract
- This paper investigates the optimal design problem for the prediction of the individual parameters in hierarchical linear models with heteroscedastic errors. An equivalence theorem is established to characterize D-optimality of designs for the prediction based on the mean squared error matrix. The admissibility of designs is also considered and a sufficient condition to simplify the design problem is obtained. The results obtained are illustrated in terms of a simple linear model with random slope and heteroscedastic errors.
Details
- ISSN :
- 2194671X and 21946701
- Volume :
- 10
- Database :
- OpenAIRE
- Journal :
- Communications in Mathematics and Statistics
- Accession number :
- edsair.doi...........f5e3fdbd6b3cf7848b02eb5a7d3f484c