Construction of regular 2n41 designs with general minimum lower-order confounding

Tian-Fang Zhang, Jian-Feng Yang, Zhi-Ming Li and Run-Chu Zhang

Communications in Statistics - Theory and Methods, 2017, vol. 46, issue 6, 2724-2735

Abstract: Mixed-level designs, especially two- and four-level designs, are very useful in practice. In the last two decades, there are quite a few literatures investigating the selection of this kind of optimal designs. Recently, the general minimum lower-order confounding (GMC) criterion (Zhang et al., 2008) gave a new approach for choosing optimal factorials. It is proved that the GMC designs are more powerful than other criteria in the widely practical situations. In this paper, we extend the GMC theory to the mixed-level designs. Under the theory we establish a new criterion for choosing optimal regular two- and four-level designs. Further, a construction method is proposed to obtain all the 2n41 GMC designs with N/4 + 1 ⩽ n + 2 ⩽ 5N/16, where N is the number of runs and n is the number of two-level factors.

Date: 2017
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DOI: 10.1080/03610926.2015.1048887

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