Supersaturated design including an orthogonal base

Shu Yamada, Dennis K.J. Lin

Research output: Contribution to journalArticlepeer-review

56 Citations (Scopus)


Recently, many supersaturated designs have been proposed. A supersaturated design is a fractional factorial design in which the number of factors is greater than the number of experimental runs. The main thrust of the previous studies has been to generate more columns while avoiding large values of squared inner products among all design columns. These designs would be appropriate if the probability for each factor being active is uniformly distributed. When factors can be partitioned into two groups, namely, with high and low probabilities of each factor being active, it is desirable to maintain orthogonality among columns to be assigned to the factors in the high-probability group. We discuss a supersaturated design including an orthogonal base which is suitable for this common situation. Mathematical results on the existence of the supersaturated designs are shown, and the construction of supersaturated designs is presented. We next discuss some properties of the proposed supersaturated designs based on the squared inner products.

Original languageEnglish
Pages (from-to)203-213
Number of pages11
JournalCanadian Journal of Statistics
Issue number2
Publication statusPublished - 1997 Jun
Externally publishedYes


  • Experimental design
  • Hadamard matrix
  • Plackett and Burman design
  • Screening experiment

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


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