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

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

85 Citations (Scopus)

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
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
Publication status	Published - 1999 Oct 15
Externally published	Yes

Keywords

Dependency
Factorial design
Inner product
Two-level design
χ statistic

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/S0167-7152(99)00038-3

Cite this

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PY - 1999/10/15

Y1 - 1999/10/15

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.

KW - Dependency

KW - Factorial design

KW - Inner product

KW - Two-level design

KW - χ statistic

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Three-level supersaturated designs

Abstract

Keywords

ASJC Scopus subject areas

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