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Optimal experimental design for a nonlinear response in environmental toxicology.

Wright SE, Bailer AJ

Department of Mathematics and Statistics, Miami University, Oxford, Ohio 45056, U.S.A.

A start-stop experiment in environmental toxicology provides a backdrop for this design discussion. The basic problem is to decide when to sample a nonlinear response in order to minimize the generalized variance of the estimated parameters. An easily coded heuristic optimization strategy can be applied to this problem to obtain optimal or nearly optimal designs. The efficiency of the heuristic approach allows a straightforward exploration of the sensitivity of the suggested design with respect to such problem-specific concerns as variance heterogeneity, time-grid resolution, design criteria, and interval specification of planning values for parameters. A second illustration of design optimization is briefly presented in the context of concentration spacing for a reproductive toxicity study.

Published 20 September 2006 in Biometrics, 62(3): 886-92.
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