Partial replication of definitive screening designs

Abstract

This article considers how to provide pure-error degrees of freedom for definitive screening designs (DSDs) through partial replication. We provide two methods for obtaining pure-error degrees of freedom while minimizing the additional cost. We compare the properties of the two methods and make recommendations for the practitioner.

Keywords:

• Design of experiments
• definitive screening designs
• partial replication
• pure error degrees of freedom
• foldover

Additional information

Notes on contributors

Bradley Jones

Bradley Jones is the Distinguished Research Fellow in the JMP Division of SAS, where he is responsible for implementing the DOE tools in JMP. With Chris Nachtsheim, he is the coinventor of Definitive Screening Designs. He is past editor of the Journal of Quality Technology and is an Associate Editor of Technometrics. He is a Fellow of the American Statistical Association and twice winner of the Brumbaugh and Lloyd S. Nelson awards as well as the Jack Youden prize and Ziegel Prize.

J. Stuart Hunter

J. Stuart Hunter is Professor Emeritus of Princeton University. With George Box and William Hunter, he wrote the text Statistics for Experimenters: An Introduction to Design, Data Analysis, and Model Building. Dr. Hunter served as president of the ASA in 1992. He was the founding editor in 1959 of the journal, Technometrics. He is a fellow of the Royal Statistical Society, the American Association for the Advancement of Science, the ASQ, and the ASA. He has won the Brumbaugh Award twice, the Shewhart Medal, the Ellis Ott Award, and the Deming Medal. In 2005 he was elected to the National Academy of Engineering.

Douglas C. Montgomery

Douglas C. Montgomery is Regents’ Professor of Industrial Engineering and ASU Foundation Professor of Engineering at Arizona State University. His research and teaching interests are in Industrial Statistics. Professor Montgomery is an Honorary Member of the ASQ, a Fellow of the ASA, a Fellow of the RSS, a Fellow of IIE, a Member of the ISI, and an Academician of the IAQ. He has received several teaching and research awards, including the Outstanding Doctoral Mentor award and the President’s Award for Innovation from ASU, the Shewhart Medal, the Distinguished Service Medal, the Brumbaugh Award, the Lloyd Nelson Award and the William G. Hunter Award from the ASQ, the George Box Medal from ENBIS, the Greenfield Medal from the Royal Statistical Society and the Deming Lecture Award from the American Statistical Association. He is a former editor of the Journal of Quality Technology and one of the chief editors of Quality and Reliability Engineering International.