Constructing Definitive Screening Designs Using Cyclic Generators
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Jones and Nachtsheim (2011) propose a new class of computer-generated three-level screening designs called definitive screening designs (DSDs). These designs provide estimates of main effects that are unbiased by any second-order effect and require only one more than twice the number of factors. Stylianou (2011) and Xiao et al. (2012) suggest the construction of these designs using conference matrices. The resulting DSD is always global optimum. This method is only applicable when the number of factors is even. This article introduces an algorithm for constructing DSDs for both even and odd numbers of factors using cyclic generators. We show that our algorithm can construct designs that are more efficient than those of Jones and Nachtsheim (2011) and that it can construct much larger designs.
KeywordsCoordinate exchange algorithm D-efficiency Incomplete block designs Response surface designs Screening designs
AMS Subject Classification62K20
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- Georgiou S. D., S. Stylianou, and M. Aggarwal. 2013. Efficient three-level screening designs using weighing matrices. Statistics, 1–19.Google Scholar
- Ionin Y. J. and H. Kharaghani. 2007. Balanced generalized weighing matrices and conference matrices. In Handbook of combinatorial designs, 2nd ed., edi. J.H. Colbourn, 306–313. Boca Raton, FL, CRC Press.Google Scholar
- Stylianou, S. 2011. Three-level screening designs applicable to models with second order terms. Paper presented at the International Conference on Design of Experiments (ICODOE-2011). May 10–13. Department of Mathematical Sciences, University of Memphis, Memphis, TN.Google Scholar