A resolution rank criterion for supersaturated designs

Lih Yuan Deng; Dennis K.J. Lin; Jiannong Wang

A resolution rank criterion for supersaturated designs

Lih Yuan Deng
, Dennis K.J. Lin
, Jiannong Wang

Statistics

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

41 Scopus citations

Abstract

Hadamard matrices are found to be useful in constructing supersaturated designs. In this paper, we study a special form of supersaturated designs using Hadamard matrices. Properties of such a supersaturated design are discussed. It is shown that the popular E(S²) criterion is in general inadequate to measure the goodness of a supersaturated design. A new criterion based upon the projection property, called resolution rank (r-rank), is proposed. Furthermore, an upper bound for r-rank is given for practical use.

Original language	English (US)
Pages (from-to)	605-610
Number of pages	6
Journal	Statistica Sinica
Volume	9
Issue number	2
State	Published - Apr 1999

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

Cite this

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title = "A resolution rank criterion for supersaturated designs",

abstract = "Hadamard matrices are found to be useful in constructing supersaturated designs. In this paper, we study a special form of supersaturated designs using Hadamard matrices. Properties of such a supersaturated design are discussed. It is shown that the popular E(S2) criterion is in general inadequate to measure the goodness of a supersaturated design. A new criterion based upon the projection property, called resolution rank (r-rank), is proposed. Furthermore, an upper bound for r-rank is given for practical use.",

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N2 - Hadamard matrices are found to be useful in constructing supersaturated designs. In this paper, we study a special form of supersaturated designs using Hadamard matrices. Properties of such a supersaturated design are discussed. It is shown that the popular E(S2) criterion is in general inadequate to measure the goodness of a supersaturated design. A new criterion based upon the projection property, called resolution rank (r-rank), is proposed. Furthermore, an upper bound for r-rank is given for practical use.

AB - Hadamard matrices are found to be useful in constructing supersaturated designs. In this paper, we study a special form of supersaturated designs using Hadamard matrices. Properties of such a supersaturated design are discussed. It is shown that the popular E(S2) criterion is in general inadequate to measure the goodness of a supersaturated design. A new criterion based upon the projection property, called resolution rank (r-rank), is proposed. Furthermore, an upper bound for r-rank is given for practical use.

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M3 - Article

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A resolution rank criterion for supersaturated designs

Abstract

All Science Journal Classification (ASJC) codes

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