Biedermann, Stefanie and Dette, Holger
Numerical construction of parameter maximin D-optimal designs for binary response models.
South African Statistical Journal, 39, (2), .
For the binary response model, we determine optimal designs based on the D-optimal criterion which are robust with respect to misspecifications of the unknown parameters.
We propose a maximin approach and provide a numerical method to identify the best two point designs for the commonly applied link functions. This method is broadly applicable and can be extended to designs with a given number (\geq 2) of support points and further link functions. The results are illustrated for the logistic and probit model, for which several examples of maximin D-optimal designs are calculated explicitly by our method.
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