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Optimal mixed-level supersaturated design

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Abstract

A supersaturated design is essentially a fractional factorial in which the number of potential effects is greater than the number of runs. In this paper, E(f NOD ) criterion is employed for comparing supersaturated designs from the viewpoint of orthogonality and uniformity, and a lower bound of E(f NOD ) which can serve as a benchmark of design optimality is obtained. It is shown that the existing E(s 2) and ave χ2 criteria (for two- and three-level supersaturated designs respectively) are in fact special cases of this criterion. Furthermore, a construction method for mixed-level supersaturated designs is proposed and some properties of the resulting designs are investigated.

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Authors and Affiliations

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

    Kai-Tai Fang

  2. Department of Supply Chain and Information Systems, The Pennsylvania State University, University Park, PA 16802, U.S.A

    Dennis K. J. Lin

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

    Min-Qian Liu

Authors
  1. Kai-Tai Fang
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  2. Dennis K. J. Lin
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  3. Min-Qian Liu
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Corresponding author

Correspondence to Dennis K. J. Lin.

Additional information

Key words:Discrepancy; Hamming distance; Orthogonal array; Supersaturated design; Uniformity; U-type design.

2000 Mathematics Subject Classifications 62K15, 62K05, 62K99.

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Fang, KT., Lin, D. & Liu, MQ. Optimal mixed-level supersaturated design. Metrika 58, 279–291 (2003). https://doi.org/10.1007/s001840300266

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  • DOI: https://doi.org/10.1007/s001840300266

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