A class of optimal robust parameter designs

Derek R. Bingham, William Li

Research output: Contribution to journalArticlepeer-review

21 Scopus citations


In robust designs, the control-by-noise interactions are usually considered to be more important than other two-factor interactions. We extend the work on model-robust factorial designs of Li and Nachtsheim (2000) to robust designs, where not all factors are treated equally. A new criterion is proposed to maximize a design's ability to estimate models with at least one control-by-noise interaction. Optimal designs are chosen from the following three groups: regular orthogonal arrays (OAs), non-regular OAs, and balanced designs. Designs with economic run-sizes are constructed algorithmically and are tabulated for practical use.

Original languageEnglish (US)
Pages (from-to)244-259
Number of pages16
JournalJournal of Quality Technology
Issue number3
StatePublished - Jul 1 2002


  • Model ordering
  • Model-robust design
  • Optimal design


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