Definitive screening designs with added two-level categorical factors

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Abstract

Recently, Jones and Nachtsheim (2011) proposed a new class of designs called definitive screening designs (DSDs). These designs have three levels, provide estimates of main effects that are unbiased by any second-order effect, require only one more than twice as many runs as there are factors, and avoid confounding of any pair of second-order effects. For designs having six factors or more, these designs project to efficient response surface designs with three or fewer factors. A limitation of these designs is that all factors must be quantitative. In this paper, we develop column-augmented DSDs that can accommodate any number of two-level qualitative factors using two methods. The DSD-augment method provides highly efficient designs that are still definitive in the sense that the estimates of all main effects continue to be unbiased by any active second-order effects. An alternative procedure, the ORTH-augment approach, leads to designs that are orthogonal linear main effects plans; however, some partial aliasing between main effects and interactions involving the categorical factors is present.

Original languageEnglish (US)
Pages (from-to)121-129
Number of pages9
JournalJournal of Quality Technology
Volume45
Issue number2
DOIs
StatePublished - Apr 2013

Keywords

  • Alias
  • Conference matrix
  • Confounding
  • Coordinate exchange algorithm
  • D-efficiency
  • Robust designs
  • Screening designs

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