Efficient experimental designs for sigmoidal growth models
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Date
2005
Authors
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Publisher
Universität Dortmund
Abstract
For the Weibull- and Richards-regression model robust designs are determined by maximizing a minimum of D- or D1-efficiencies, taken over a certain range of the non-linear parameters. It is demonstrated that the derived designs yield a satisfactory solution of the optimal design problem for this type of model in the sense that these designs are efficient and robust with respect to misspecification of the unknown parameters. Moreover, the designs can also be used for testing the postulated form of the regression model against a simplified sub-model.
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Keywords
Sigmoidal growth, Weibull regression model, exponential regression model, Richards-regression model, logistic regression model, robust optimal design, goodness-of-fit test