On construction of optimal mixed-level supersaturated designs

Details On construction of optimal mixed-level supersaturated designs On construction of optimal mixed-level supersaturated designs

2011-05-19

arxiv.org/abs/1105.3816v1

Annals of Statistics 2011, Vol. 39, No. 2, 1310-1333

Mathematics

Statistics Theory

Published in at http://dx.doi.org/10.1214/11-AOS877 the Annals of Statistics (http://www.imstat.org/aos/) by the Institute of

Scientific paper

10.1214/11-AOS877

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 $E(f_{\mathrm{NOD}})$- and $\chi^2$-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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