Construction of minimum generalized aberration designs

Kai-Tai Fang (), Gen-Nian Ge (), Min-Qian Liu () and Hong Qin ()

Metrika: International Journal for Theoretical and Applied Statistics, 2003, vol. 57, issue 1, 37-50

Abstract: Supersaturated designs have become increasingly popular in recent years because of their potential in saving run size and the technical novelty. In this paper, the minimum generalized aberration (MGA) criterion proposed by Ma and Fang (2001) (and another two equivalent criteria proposed by Xu and Wu (2001) and Xu (2001b) respectively) for comparing non-regular symmetrical designs is used for evaluating supersaturated designs. A new construction method for MGA symmetrical supersaturated designs via resolvable balanced incomplete block designs is proposed, and some infinite classes for the existence of such MGA designs are obtained simultaneously, along with the investigation of properties of the resulting designs. The construction method shows a strong connection between these two different kinds of designs. Copyright Springer-Verlag 2003

Keywords: 62K15; 62K10; 05B05; generalized wordlength pattern; minimum generalized aberration; wnon-regular design; parallel class; resolvable balanced incomplete block design; supersaturated design (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:spr:metrik:v:57:y:2003:i:1:p:37-50

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DOI: 10.1007/s001840200197

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