Constructing Definitive Screening Designs Using Conference Matrices

Abstract

Jones and Nachtsheim (2011) propose a new class of designs for definitive screening. These designs have very nice properties for practical use. Their construction approach requires a computerized search. This short note provides a theoretical basis for design construction, making use of conference matrices. The design construction is straightforward, and the resulting design is always a global optimum definitive screening design. The proposed method only works when the number of factors is even, however.

• Alias Matrix
• Foldover
• Interaction Effects
• Main Effects
• Orthogonal Design

Additional information

Notes on contributors

Lili Xiao

Ms. Lili Xiao is a PhD Candidate in the Department of Mathematical Sciences at Tsinghua University. Her email address is [email protected].

Dennis K. J. Lin

Dr. Lin is a University Distinguished Professor of Statistics at Penn State University. He is a fellow of ASQ and ASA. His email address is [email protected].

Fengshan Bai

Dr. Bai is a Professor of the Department of Mathematical Sciences at Tsinghua University. His email address is [email protected].