Model-robust supersaturated and partially supersaturated designs

Bradley A. Jones, William Li, Christopher J. Nachtsheim, Kenny Q. Ye

Research output: Contribution to journalArticlepeer-review

18 Scopus citations


Supersaturated designs are an increasingly popular tool for screening factors in the presence of effect sparsity. The advantage of this class of designs over resolution III factorial designs or Plackett-Burman designs is that n, the number of runs, can be substantially smaller than the number of factors, m. A limitation associated with most supersaturated designs produced thus far is that the capability of these designs for estimating g active effects has not been discussed. In addition to exploring this capability, we develop a new class of model-robust supersaturated designs that, for a given n and m, maximizes the number g of active effects that can be estimated simultaneously. The capabilities of model-robust supersaturated designs for model discrimination are assessed using a model-discrimination criterion, the subspace angle. Finally, we introduce the class of partially supersaturated designs, intended for use when we require a specific subset of m1 core factors to be estimable, and the sparsity of effects principle applies to the remaining (m - m1) factors.

Original languageEnglish (US)
Pages (from-to)45-53
Number of pages9
JournalJournal of Statistical Planning and Inference
Issue number1
StatePublished - Jan 2009

Bibliographical note

Funding Information:
We thank the two editors and three anonymous referees for many knowledgeable and helpful suggestions. This research was supported by the Supercomputing Institute for Digital Simulation and Advanced Computation at the University of Minnesota. Li and Nachtsheim's research was supported by the Research and Teaching Supplements System in Carlson School of Management at the University of Minnesota.

Copyright 2008 Elsevier B.V., All rights reserved.


  • Estimation capacity
  • Exchange algorithm
  • Model-robust design
  • Optimal design
  • Partially supersaturated design
  • Supersaturated design


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