Abstract #301457

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JSM 2002 Abstract #301457
Activity Number: 353
Type: Contributed
Date/Time: Wednesday, August 14, 2002 : 2:00 PM to 3:50 PM
Sponsor: Section on Statistics & the Environment*
Abstract - #301457
Title: D-optimal Designs for the Poisson Regression Model in Impaired Reproduction Studies
Author(s): Yanping Wang*+ and Eric Smith and Keying Ye
Affiliation(s): Virginia Polytechnic Institute and State University and Virginia Polytechnic Institute and State University and Virginia Polytechnic Institute and State University
Address: Statistics Department, Virginia Tech, Blacksburg, Virginia, 24060, U.S.A.
Keywords: D-optimal Design ; Poisson Exponential Model
Abstract:

Optimal designs for generalized linear models have received increasing attention in recent years. Yet most of the current work focuses on the one variable first-order logistic regression model. In this paper, we extend this topic to the Poisson regression model. For the first-order model, optimal designs in terms of effective dose (ED) levels are independent of the parameters. However, for more complex models this is not the case. We investigated how D-optimal designs depend on the parameters for the one-variable quadratic model and the two-variable interaction model. We also studied the performance of some "standard" designs which might be intuitive to practitioners.

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