Large supersaturated designs

K. M. Eskridge, S. G. Gilmour, R. Mead, N. A. Butler, D. A. Travnicek

Research output: Contribution to journalArticle

27 Citations (Scopus)

Abstract

A supersaturated design (SSD) is an experimental plan, useful for evaluating the main effects of m factors with n experimental units when m > n - 1, each factor has two levels and when the first-order effects of only a few factors are expected to have dominant effects on the response. Use of these plans can be extremely cost-effective when it is necessary to screen hundreds or thousands of factors with a limited amount of resources. In this article we describe how to use cyclic balanced incomplete block designs and regular graph designs to construct E(s 2) optimal and near optimal SSDs when m is a multiple of n - 1. We also provide a table that can be used to construct these designs for screening thousands of factors. We also explain how to obtain SSDs when m is not a multiple of n - 1. Using the table and the approaches given in this paper, SSDs can be developed for designs with up to 24 runs and up to 12,190 factors.

Original languageEnglish (US)
Pages (from-to)525-542
Number of pages18
JournalJournal of Statistical Computation and Simulation
Volume74
Issue number7
DOIs
StatePublished - Jul 1 2004

Fingerprint

Supersaturated Design
Table
Graph Design
Balanced Incomplete Block Design
Main Effect
Regular Graph
Screening
Factors
First-order
Resources
Unit
Necessary
Costs

Keywords

  • Computer-aided design
  • Design of experiments
  • Incomplete block design
  • Regular graph design
  • Screening design

ASJC Scopus subject areas

  • Statistics and Probability
  • Modeling and Simulation
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

Cite this

Large supersaturated designs. / Eskridge, K. M.; Gilmour, S. G.; Mead, R.; Butler, N. A.; Travnicek, D. A.

In: Journal of Statistical Computation and Simulation, Vol. 74, No. 7, 01.07.2004, p. 525-542.

Research output: Contribution to journalArticle

Eskridge, KM, Gilmour, SG, Mead, R, Butler, NA & Travnicek, DA 2004, 'Large supersaturated designs', Journal of Statistical Computation and Simulation, vol. 74, no. 7, pp. 525-542. https://doi.org/10.1080/00949650310001612436
Eskridge, K. M. ; Gilmour, S. G. ; Mead, R. ; Butler, N. A. ; Travnicek, D. A. / Large supersaturated designs. In: Journal of Statistical Computation and Simulation. 2004 ; Vol. 74, No. 7. pp. 525-542.
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