Optimal discrimination designs for exponential regression models

Biedermann, Stefanie, Dette, Holger and Pepelyshev, Andrey (2007) Optimal discrimination designs for exponential regression models. Journal of Statistical Planning and Inference, 137, (8), 2579-2592. (doi:10.1016/j.jspi.2006.03.015).

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We investigate optimal designs for discriminating between exponential regression models of different complexity,
which are widely used in the biological sciences; see, e.g., Landaw (1995) or Gibaldi and Perrier (1982). We discuss different approaches for the construction of appropriate optimality criteria, and find sharper upper bounds on the number
of support points of locally optimal discrimination designs than those given by Caratheodory's Theorem. These results greatly facilitate the numerical construction of optimal designs. Various examples of optimal designs are then presented and compared to different other designs. Moreover, to protect the experiment against misspecifications of the nonlinear model parameters,
we adapt the design criteria such that the resulting designs are robust with respect to such misspecifications and, again, provide several examples, which demonstrate the advantages of our approach.

Item Type: Article
Digital Object Identifier (DOI): doi:10.1016/j.jspi.2006.03.015
ISSNs: 0378-3758 (print)
Related URLs:
Keywords: compartmental model, model discrimination, discrimination design, locally optimal design, robust optimal design, maximin optimal design
Subjects: Q Science > QA Mathematics
Q Science > QH Natural history > QH301 Biology
H Social Sciences > HA Statistics
Divisions : University Structure - Pre August 2011 > School of Mathematics > Statistics
ePrint ID: 58645
Accepted Date and Publication Date:
Date Deposited: 19 Aug 2008
Last Modified: 31 Mar 2016 12:40
URI: http://eprints.soton.ac.uk/id/eprint/58645

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