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April 2011 On construction of optimal mixed-level supersaturated designs
Fasheng Sun, Dennis K. J. Lin, Min-Qian Liu
Ann. Statist. 39(2): 1310-1333 (April 2011). DOI: 10.1214/11-AOS877

Abstract

Supersaturated design (SSD) has received much recent interest because of its potential in factor screening experiments. In this paper, we provide equivalent conditions for two columns to be fully aliased and consequently propose methods for constructing E(fNOD)- and χ2-optimal mixed-level SSDs without fully aliased columns, via equidistant designs and difference matrices. The methods can be easily performed and many new optimal mixed-level SSDs have been obtained. Furthermore, it is proved that the nonorthogonality between columns of the resulting design is well controlled by the source designs. A rather complete list of newly generated optimal mixed-level SSDs are tabulated for practical use.

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Fasheng Sun. Dennis K. J. Lin. Min-Qian Liu. "On construction of optimal mixed-level supersaturated designs." Ann. Statist. 39 (2) 1310 - 1333, April 2011. https://doi.org/10.1214/11-AOS877

Information

Published: April 2011
First available in Project Euclid: 9 May 2011

zbMATH: 1215.62073
MathSciNet: MR2816356
Digital Object Identifier: 10.1214/11-AOS877

Subjects:
Primary: 62K15
Secondary: 62K05

Keywords: coincidence number , difference matrix , equidistant design , induced matrix , orthogonal array

Rights: Copyright © 2011 Institute of Mathematical Statistics

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Vol.39 • No. 2 • April 2011
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