A class of three-level designs for definitive screening in the presence of second-order effects

Research output: Contribution to journalArticlepeer-review

191 Scopus citations

Abstract

Screening designs are attractive for assessing the relative impact of a large number of factors on a response of interest. Experimenters often prefer quantitative factors with three levels over two-level factors because having three levels allows for some assessment of curvature in the factor-response relationship. Yet, the most familiar screening designs limit each factor to only two levels. We propose a new class of designs that 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. Moreover, for designs having six factors or more, our designs allow for the efficient estimation of the full quadratic model in any three factors. In this respect, our designs may render follow-up experiments unnecessary in many situations, thereby increasing the efficiency of the entire experimentation process. We also provide an algorithm for design construction.

Original languageEnglish (US)
Pages (from-to)1-15
Number of pages15
JournalJournal of Quality Technology
Volume43
Issue number1
DOIs
StatePublished - Jan 2011

Keywords

  • Alias
  • Confounding
  • Coordinate Exchange Algorithm
  • D-Efficiency
  • Response Surface Designs
  • Robust Designs
  • Screening Designs

Fingerprint Dive into the research topics of 'A class of three-level designs for definitive screening in the presence of second-order effects'. Together they form a unique fingerprint.

Cite this