Numerical construction of parameter maximin D-optimal designs for binary response models

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...

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Bibliographic Details
Main Authors: Biedermann, Stefanie (Author), Dette, Holger (Author)
Format: Article
Language:English
Published: 2005.
Subjects:
Online Access:Get fulltext
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100 1 0 |a Biedermann, Stefanie  |e author 
700 1 0 |a Dette, Holger  |e author 
245 0 0 |a Numerical construction of parameter maximin D-optimal designs for binary response models 
260 |c 2005. 
856 |z Get fulltext  |u https://eprints.soton.ac.uk/41830/1/numconst.pdf 
520 |a 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. 
655 7 |a Article