Three-level supersaturated designs

Shu Yamada; Dennis K.J. Lin

doi:10.1016/S0167-7152(99)00038-3

Three-level supersaturated designs

Shu Yamada, Dennis K.J. Lin

Statistics

Research output: Contribution to journal › Article › peer-review

85 Scopus citations

Abstract

When experimentation is expensive and the number of factors is large, supersaturated designs can be helpful. They are essentially fractional factorial designs in which the number of factors is greater than the number of experimental runs. Previous studies have focused on two-level supersaturated designs. This paper presents a new class of three-level supersaturated designs with an equal occurrence property. It is shown that designs generated by such a universal construction method result in a low dependency among all columns.

Original language	English (US)
Pages (from-to)	31-39
Number of pages	9
Journal	Statistics and Probability Letters
Volume	45
Issue number	1
DOIs	https://doi.org/10.1016/S0167-7152(99)00038-3
State	Published - Oct 15 1999

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/S0167-7152(99)00038-3

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abstract = "When experimentation is expensive and the number of factors is large, supersaturated designs can be helpful. They are essentially fractional factorial designs in which the number of factors is greater than the number of experimental runs. Previous studies have focused on two-level supersaturated designs. This paper presents a new class of three-level supersaturated designs with an equal occurrence property. It is shown that designs generated by such a universal construction method result in a low dependency among all columns.",

author = "Shu Yamada and Lin, {Dennis K.J.}",

note = "Funding Information: The authors would like to thank a referee who made important suggestions to improve the presentation of the paper. Dennis Lin is partially supported by the National Science Foundation via Grant DMS-9704711 and National Science Council of ROC via Contract NSC 87-2119-M-001-007. ",

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N2 - When experimentation is expensive and the number of factors is large, supersaturated designs can be helpful. They are essentially fractional factorial designs in which the number of factors is greater than the number of experimental runs. Previous studies have focused on two-level supersaturated designs. This paper presents a new class of three-level supersaturated designs with an equal occurrence property. It is shown that designs generated by such a universal construction method result in a low dependency among all columns.

AB - When experimentation is expensive and the number of factors is large, supersaturated designs can be helpful. They are essentially fractional factorial designs in which the number of factors is greater than the number of experimental runs. Previous studies have focused on two-level supersaturated designs. This paper presents a new class of three-level supersaturated designs with an equal occurrence property. It is shown that designs generated by such a universal construction method result in a low dependency among all columns.

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Three-level supersaturated designs

Abstract

All Science Journal Classification (ASJC) codes

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