Construction of minimum generalized aberration designs

Kai-Tai Fang*, Gen-Nian Ge, Min-Qian Liu, Hong Qin

*Corresponding author for this work

Research output: Contribution to journalJournal articlepeer-review

39 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)37-50
Number of pages14
Issue number1
Publication statusPublished - Feb 2003

Scopus Subject Areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

User-Defined Keywords

  • Generalized wordlength pattern
  • Minimum generalized aberration
  • Non-regular design
  • Parallel class
  • Resolvable balanced incomplete block design
  • Supersaturated design


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