JSM 2005 - Toronto

Abstract #304295

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Activity Number: 490
Type: Contributed
Date/Time: Thursday, August 11, 2005 : 8:30 AM to 10:20 AM
Sponsor: General Methodology
Abstract - #304295
Title: On the Probability of Exploiting Factor Effects through Experimentation
Author(s): Hungjen Wang*+ and Daniel Frey
Companies: Massachusetts Institute of Technology and Massachusetts Institute of Technology
Address: 143 Albany Street, Cambridge, MA, 02139, United States
Keywords: adaptive experiment ; exploitation ; fractional factorial experiment design ; one factor at a time experiment design ; regression
Abstract:

We introduce the concept of "exploiting" a factor effect as a means of assessing the performance of experimental plans. A factor is defined to be "exploited" when an experimental process results in factor settings that improve the response of the system. Given this definition and a mathematical model of a response surface, closed-form expressions are derived for the probability of exploiting main effects and two-factor interactions using resolution III designs and adaptive one-factor-at-a-time experiments. In addition, computational simulations provide estimates of the probability of exploiting factor effects using resolution V designs.

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Revised March 2005