Title: Augmentation of definitive screening designs (DSD+)

Authors: Shane Dougherty; James R. Simpson; Raymond R. Hill; Joseph J. Pignatiello; Edward D. White

Addresses: Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson AFB, OH 45433, USA ' 53rd Test Management Group, Eglin AFB, FL, 32542, USA ' Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson AFB, OH 45433, USA; Department of Operational Sciences, Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson AFB, OH, 45433, USA ' Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson AFB, OH 45433, USA; Department of Operational Sciences, Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson AFB, OH, 45433, USA ' Department of Math and Statistics, Air Force Institute of Technology, 2950 Hobson Way, Wright-Patterson AFB, OH, 45433, USA

Abstract: Run efficient second order designs suitable for both factor screening and the fitting of a second-order response model are of interest in complex system characterisation efforts particularly when those efforts encounter budgetary constraints limiting their test programme. Leading designs are the smaller sized definitive screening design and the larger sized design, fractional Box-Behken design. When specific domain knowledge of system factor interactions is available, either a priori or a posteriori, that domain knowledge can be exploited to generate the definitive screening design plus. This paper describes how to generate the single DSD+, how to augment a DSD to arrive at the DSD+ and compares the performance of the two designs under a variety of effect sparsity, effect heredity and model noise conditions. The DSD+, with its extra k-1 runs for k factors is shown to greatly improve the screen and model fitting capabilities of the DSD.

Keywords: empirical analysis; definitive screening designs; DSD; experimental design; second order designs; factor screening; model fitting; second-order response models; modelling.

DOI: 10.1504/IJEDPO.2014.066465

International Journal of Experimental Design and Process Optimisation, 2014 Vol.4 No.2, pp.91 - 115

Received: 02 Apr 2014
Accepted: 13 Jul 2014

Published online: 21 Dec 2014 *

Full-text access for editors Access for subscribers Purchase this article Comment on this article