JSM 2005 - Toronto

Abstract #303837

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 140
Type: Contributed
Date/Time: Monday, August 8, 2005 : 10:30 AM to 12:20 PM
Sponsor: General Methodology
Abstract - #303837
Title: Locally D-optimal Designs for Logistic Models with Three and Four Parameters
Author(s): Gang Li*+ and Dibyen Majumdar
Companies: GlaxoSmithKline and University of Illinois, Chicago
Address: , Collegeville, PA, , United States
Keywords: Locally D-optimal design ; Equivalence theorem
Abstract:

By Caratheodory's theorem, the minimum number of support points of locally D-optimal design is between k and k(k+1)/2 for a k-parameter nonlinear model. In this paper, we provide sufficient conditions under which the locally D-optimal designs are minimally supported by utilizing the equivalence theorem. We apply the results to show the locally D-optimal designs for logistic models with three and four parameters both are supported minimally. Numerical studies also are carried out to investigate the efficiency of equally spaced and uniform designs.

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