Analysis of supersaturated designs

Don R. Holcomb, Douglas Montgomery, W. Matthew Carlyle

Research output: Contribution to journalArticle

41 Scopus citations

Abstract

Supersaturated designs offer a potentially useful way to investigate many factors with very few experimental runs. These designs are used to investigate m factors with n experimental runs, where m > n - 1. We evaluate several methods for analyzing a broad range of supersaturated designs and provide a basic explanation of these procedures. We show that the contrasts of a supersaturated design follow a permuted multivariate hypergeometric distribution, which may be approximated with a normal distribution. The analysis methods presented are based on methods for unreplicated fractional factorial designs. Two contrast-based analysis methods are presented, and the assumptions of the underlying model are described for a wide range of supersaturated designs.

Original languageEnglish (US)
Pages (from-to)13-27
Number of pages15
JournalJournal of Quality Technology
Volume35
Issue number1
StatePublished - Jan 1 2003

Keywords

  • Contrasts
  • Factorial designs
  • Screening

ASJC Scopus subject areas

  • Safety, Risk, Reliability and Quality
  • Strategy and Management
  • Management Science and Operations Research
  • Industrial and Manufacturing Engineering

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  • Cite this

    Holcomb, D. R., Montgomery, D., & Carlyle, W. M. (2003). Analysis of supersaturated designs. Journal of Quality Technology, 35(1), 13-27.