Abstract #301100

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JSM 2003 Abstract #301100
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 - #301100
Title: Separating Location Effects from Dispersion Effects in an Unreplicated Factorial Design
Author(s): Christopher J. Malone*+ and Thomas M. Loughin
Companies: Kansas State University and Kansas State University
Address: Dept. of Mathematics and Statistics, Winona, MN, 55987,
Keywords: screening experiments ; robust parameter design ; quality improvement ; confounding ; Taguchi methods
Abstract:

McGrath and Lin (2001) study the confounding relationship that exists between location and dispersion effects in an unreplicated factorial experiment. They find that two unidentified location effects may cause a spurious dispersion effect and state that additional replication is necessary to identify the true cause of the disturbance in the response variable. A procedure is developed under an additive variance model that allows for the separation of location effects from dispersion effects without the need for potentially costly experimental runs. In addition, it is shown that masking of an active dispersion effect may occur and, unlike existing methods, the proposed procedure is robust to this phenomenon. A simulation study is used to compare the proposed procedure with commonly cited procedures.

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