Support Points of Locally Optimal Designs for Nonlinear Models with Two Parameters

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Support Points of Locally Optimal Designs for Nonlinear Models with Two Parameters

Please use this identifier to cite or link to this item: http://hdl.handle.net/10355/9127

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dc.contributor.author Yang, Min, 1970 Oct. 28-
dc.contributor.author Stufken, John
dc.contributor.other University of Missouri-Columbia. College of Arts and Sciences. Department of Statistics
dc.date.accessioned 2010-11-30T19:48:22Z
dc.date.available 2010-11-30T19:48:22Z
dc.date.issued 2009
dc.identifier.citation The Annals of Statistics 2009, Vol. 37, No. 1, 518-541. en_US
dc.identifier.uri http://hdl.handle.net/10355/9127
dc.description DOI: 10.1214/07-AOS560 en_US
dc.description.abstract We propose a new approach for identifying the support points of a locally optimal design when the model is a nonlinear model. In contrast to the commonly used geometric approach, we use an approach based on algebraic tools. Considerations are restricted to models with two parameters, and the general results are applied to often used special cases, including logistic, probit, double exponential and double reciprocal models for binary data, a loglinear Poisson regression model for count data, and the Michaelis-Menten model. The approach, which is also of value for multi-stage experiments, works both with constrained and unconstrained design regions and is relatively easy to implement. en_US
dc.description.sponsorship Min Yang was supported in part by NSF Grants DMS-07-07013 and DMS-07-48409. John Stufken was supported in part by NSF Grant DMS-07-06917. en_US
dc.language.iso en_US en_US
dc.publisher Institute of Mathematical Statistics en_US
dc.relation.ispartof Statistics publications (MU)
dc.subject binary response en_US
dc.subject generalized linear model en_US
dc.subject Loewner order en_US
dc.subject.lcsh Optimal designs (Statistics)
dc.subject.lcsh Experimental design
dc.title Support Points of Locally Optimal Designs for Nonlinear Models with Two Parameters en_US
dc.type Article en_US


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