Small Mixed-Level Screening Designs with Orthogonal Quadratic Effects

Abstract

This paper discusses an algorithm for constructing mixed-level screening designs (MLSDs) by augmenting some columns of a definitive screening designs (DSDs) with additional two-level columns. The constructed designs have the quadratic effects being orthogonal to main effects. The algorithm is used to construct designs with the number of runs being equal to p (i.e., the number of model parameters) for even p or p + 1 for odd p. The performance of these small DSD-based MLSDs in terms of the D-efficiency is evaluated against the 60 small MLSDs of Yang et al. (2014).

• Augmented Designs
• Conference Matrix
• D-Efficiency
• Definitive Screening Designs
• Interchange Algorithm

Additional information

Notes on contributors

Nam-Ky Nguyen

Dr. Nguyen is Senior Researcher in the Vietnam Institute for Advanced Study in Mathematics. He is a Member of ASQ. His email is [email protected].

Tung-Dinh Pham

Dr. Pham is Lecturer in the VNU University of Science. His email is [email protected].