Designs from good Hadamard matrices

Chenlu Shi; Boxin Tang

doi:10.3150/16-BEJ891

Designs from good Hadamard matrices

Chenlu Shi, Boxin Tang

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

11 Scopus citations

Abstract

Hadamard matrices are very useful mathematical objects for the construction of various statistical designs. Some Hadamard matrices are better than others in terms of the qualities of designs they produce. In this paper, we provide a theoretical investigation into such good Hadamard matrices and discuss their applications in the construction of nonregular factorial designs and supersaturated designs.

Original language	English (US)
Pages (from-to)	661-671
Number of pages	11
Journal	Bernoulli
Volume	24
Issue number	1
DOIs	https://doi.org/10.3150/16-BEJ891
State	Published - Feb 2018
Externally published	Yes

All Science Journal Classification (ASJC) codes

Statistics and Probability

Keywords

Generalized resolution
Nonregular design
Supersaturated design

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10.3150/16-BEJ891

Cite this

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abstract = "Hadamard matrices are very useful mathematical objects for the construction of various statistical designs. Some Hadamard matrices are better than others in terms of the qualities of designs they produce. In this paper, we provide a theoretical investigation into such good Hadamard matrices and discuss their applications in the construction of nonregular factorial designs and supersaturated designs.",

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AB - Hadamard matrices are very useful mathematical objects for the construction of various statistical designs. Some Hadamard matrices are better than others in terms of the qualities of designs they produce. In this paper, we provide a theoretical investigation into such good Hadamard matrices and discuss their applications in the construction of nonregular factorial designs and supersaturated designs.

KW - Generalized resolution

KW - Nonregular design

KW - Supersaturated design

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Designs from good Hadamard matrices

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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