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

Author

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

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.

Suggested Citation

  • Hu, Bo & Lin, Dennis K.J. & Sun, Fasheng, 2024. "Mixed-level screening designs based on skew-symmetric conference matrices," Statistics & Probability Letters, Elsevier, vol. 208(C).
    • Handle: RePEc:eee:stapro:v:208:y:2024:i:c:s0167715224000488
    DOI: 10.1016/j.spl.2024.110079
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