Mixed-level screening designs based on skew-symmetric conference matrices

Bo Hu, Dennis K.J. Lin and Fasheng Sun

Statistics & Probability Letters, 2024, vol. 208, issue C

Abstract: Screening is an important step of experimental design. It aims to identify a few active factors, among a large number of potential factors. In this paper, we propose two classes of mixed-level screening designs with desirable design properties; such as, low correlations between any two design columns, high design efficiencies (e.g., D- or A-efficiencies), and orthogonality between main effects and two-factor interactions. Conference matrices with skew-symmetric structure play an important role in the proposed construction. Two new construction methods for conference matrices with skew-symmetric structure, recursive and algebraic constructions, are provided. It is shown that the proposed mixed-level screening designs have all desirable design properties and do not require any computer search.

Keywords: Correlation; Definitive screening design; Fold-over; J-characteristic; Pure-quadratic effect (search for similar items in EconPapers)
Date: 2024
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DOI: 10.1016/j.spl.2024.110079

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