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Construction of minimum generalized aberration designs

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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.

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Authors and Affiliations

  1. Department of Mathematics, Hong Kong Baptist University, Hong Kong, China

    Kai-Tai Fang & Hong Qin

  2. Department of Mathematics, Suzhou University, Suzhou, 215006, China

    Gen-Nian Ge

  3. Department of Statistics, Nankai University, Tianjin, 300071, China

    Min-Qian Liu

  4. Department of Mathematics, Central China Normal University, Wuhan, 430029, China

    Hong Qin

Authors
  1. Kai-Tai Fang
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  2. Gen-Nian Ge
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  3. Min-Qian Liu
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  4. Hong Qin
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Correspondence to Kai-Tai Fang.

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Fang, KT., Ge, GN., Liu, MQ. et al. Construction of minimum generalized aberration designs. Metrika 57, 37–50 (2003). https://doi.org/10.1007/s001840200197

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