JSM 2004 - Toronto

Abstract #300998

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Activity Number: 337
Type: Contributed
Date/Time: Wednesday, August 11, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #300998
Title: Optimal Design for Spherical Regions
Author(s): Robert Mee*+ and Bradley Jones
Companies: University of Tennessee and SAS Institute Inc.
Address: , Knoxville, TN, 37996-0532,
Keywords: central composite design ; D-optimal ; I-optimal ; polynomial model ; response surface model
Abstract:

Most optimal design algorithms for quantitative factors constrain the treatment combinations to a hypercube region. In many applications, however, a spherical region seems more readily justified. We explore the impact of optimality criteria on the choice of an exact optimal design in a spherical region for experiments run in a single block, as well as for applications where a second-order design is augmented with another block to make possible fitting a cubic polynomial model. Our conclusions are based on a combination of empirical results from specific examples and theoretical results from the continuous design literature.

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