Abstract #301729

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JSM 2003 Abstract #301729
Activity Number: 23
Type: Contributed
Date/Time: Sunday, August 3, 2003 : 2:00 PM to 3:50 PM
Sponsor: Section on Physical and Engineering Sciences
Abstract - #301729
Title: Experimental Design and Validation of Restricted Models
Author(s): Grace R. Montepiedra*+ and Francis G. Pascual
Companies: Bowling Green State University and Washington State University
Address: 1001 E. Wooster St., Bowling Green, OH, 43403-0001,
Keywords: mean squared error ; robust designs ; model validity region ; optimal design
Abstract:

We explore experimental design conditions and the nature of the full model such that a restricted model provides a better estimator in the sense of the mean squared error. Building around the rationale provided by Toro-Vizcarrondo and Wallace (1968), as well as previous and recent related work, we introduce new concepts which we call the model validity region and the strong model validity region. Based on these concepts, we introduce a new optimal design criterion that measures the degree of robustness of a design to restricted models. Applications to mean response estimation in polynomial regression and multifactor experiments are given to illustrate the ideas proposed. We also provide some practical guidelines that will enable the researcher to apply the concepts discussed.

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