JSM 2004 - Toronto

Abstract #300029

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Activity Number: 421
Type: Invited
Date/Time: Thursday, August 12, 2004 : 10:30 AM to 12:20 PM
Sponsor: Section on Quality and Productivity
Abstract - #300029
Title: Model Selection in the Presence of Multiple Dispersion Effects in Unreplicated Fractional Factorials
Author(s): Richard N. McGrath*+
Companies: Bowling Green State University
Address: Applied Statistics and Operations Research, Bowling Green, OH, 43403,
Keywords: generalized linear models ; variance ; dispersion ; unreplicated ; fractional factorial
Abstract:

Unreplicated fractional factorials can be efficient screening designs in that they can be useful for identifying the most important factors, and, possibly, interactions. Traditionally, these designs have been used to identify location effects, those that impact the mean response. More recently, research has shown that they may be useful for identifying dispersion (variance) effects. However, when trying to identify both location and dispersion effects with n=2^(k-p) observations, 2n=2^(k-p+1) effects are being estimated. This implies confounding among location and dispersion effect estimates. I will discuss a synthesis of existing approaches including the use of generalized linear models. New insights and limitations will be provided.

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Revised March 2004