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

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...

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Published in:Communications in statistics. Theory and methods 2017-03, Vol.46 (6), p.2724-2735
Main Authors: Zhang, Tian-Fang, Yang, Jian-Feng, Li, Zhi-Ming, Zhang, Run-Chu
Format: Article
Language:English
Subjects:
Aliased effect-number pattern
effect hierarchy principle
factorial design
general minimum lower-order confounding (GMC)
mixed-level
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Yang, Jian-Feng
Li, Zhi-Ming
Zhang, Run-Chu
description 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 2 n 4 1 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.
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subjects Aliased effect-number pattern
effect hierarchy principle
factorial design
general minimum lower-order confounding (GMC)
mixed-level
title Construction of regular 2n41 designs with general minimum lower-order confounding
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