An optimality criterion for supersaturated designs with quantitative factors

Chao Huang, Dennis K.J. Lin, Min Qian Liu

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

A supersaturated design (SSD) is a factorial design in which the degrees of freedom for all its main effects exceed the total number of distinct factorial level-combinations (runs) of the design. Designs with quantitative factors, in which level permutation within one or more factors could result in different geometrical structures, are very different from designs with nominal ones which have been treated as traditional designs. In this paper, a new criterion is proposed for SSDs with quantitative factors. Comparison and analysis for this new criterion are made. It is shown that the proposed criterion has a high efficiency in discriminating geometrically nonisomorphic designs and an advantage in computation.

Original languageEnglish (US)
Pages (from-to)1780-1788
Number of pages9
JournalJournal of Statistical Planning and Inference
Volume142
Issue number7
DOIs
StatePublished - Jul 1 2012

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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