TY - JOUR
T1 - Model-robust supersaturated and partially supersaturated designs
AU - Jones, Bradley A.
AU - Li, William
AU - Nachtsheim, Christopher J.
AU - Ye, Kenny Q.
N1 - 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:
Copyright 2008 Elsevier B.V., All rights reserved.
PY - 2009/1
Y1 - 2009/1
N2 - 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.
AB - 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.
KW - Estimation capacity
KW - Exchange algorithm
KW - Model-robust design
KW - Optimal design
KW - Partially supersaturated design
KW - Supersaturated design
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U2 - 10.1016/j.jspi.2008.05.015
DO - 10.1016/j.jspi.2008.05.015
M3 - Article
AN - SCOPUS:52749094527
SN - 0378-3758
VL - 139
SP - 45
EP - 53
JO - Journal of Statistical Planning and Inference
JF - Journal of Statistical Planning and Inference
IS - 1
ER -