Locally ϕp-optimal designs for generalized linear models with a single-variable quadratic polynomial predictor

Hsin-Ping Wu and John Stufken

Biometrika, 2014, vol. 101, issue 2, 365-375

Abstract: Finding optimal designs for generalized linear models is a challenging problem. Recent research has identified the structure of optimal designs for generalized linear models with single or multiple unrelated explanatory variables that appear as first-order terms in the predictor. We consider generalized linear models with a single-variable quadratic polynomial as the predictor under a popular family of optimality criteria. When the design region is unrestricted, our results establish that optimal designs can be found within a subclass of designs based on a small support with symmetric structure. We show that the same conclusion holds with certain restrictions on the design region, but in other cases a larger subclass may have to be considered. In addition, we derive explicit expressions for some D-optimal designs.

Date: 2014
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Citations: View citations in EconPapers (2)

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