-optimal response surface designs in the presence of random block effects
AbstractThe purpose of this paper is twofold. Firstly, it provides the reader with an overview of the literature on optimal response surface designs for random block effects models. Special attention is given to cases in which D-optimal designs do not depend on the degree of correlation. These situations include some cases where the block size is greater than or equal to the number of model parameters, the case of minimum support designs and some orthogonally blocked designs. However, in many instances the optimal design depends on the degree of correlation and no exact optimal designs can be found in the literature. In the second part of this paper, an algorithm is presented that produces D-optimal designs for these cases. Examples will illustrate the construction of optimal designs for each design problem described.
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Bibliographic InfoArticle provided by Elsevier in its journal Computational Statistics & Data Analysis.
Volume (Year): 37 (2001)
Issue (Month): 4 (October)
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Other versions of this item:
- Goos, Peter & Vandebroek, Martina, 1999. "Optimal response surface designs in the presence of random block effects," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/102892, Katholieke Universiteit Leuven.
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- Kessels, Roselinde & Goos, Peter & Vandebroek, Martina, 2008.
"Optimal designs for conjoint experiments,"
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- Kessels, R & Goos, Peter & Vandebroek, Martina, 2008. "Optimal designs for conjoint experiments," Open Access publications from Katholieke Universiteit Leuven urn:hdl:123456789/175151, Katholieke Universiteit Leuven.
- GOOS, Peter & Vermeulen B. & Vandebroek M., 2008. "D-optimal conjoint choice designs with no-choice options for a nested logit model," Working Papers 2008020, University of Antwerp, Faculty of Applied Economics.
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2008022, University of Antwerp, Faculty of Applied Economics.
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