The Usefulness of Uniformity in Experimental Design

Kai Tai Fang; Chang Xing Ma

doi:10.1515/9783110944655.51

The Usefulness of Uniformity in Experimental Design

Kai Tai Fang, Chang Xing Ma

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

Abstract

There are many criteria in experimental design such as balance, randomness, orthogonality, efficiency, robustness, etc. In this paper we review the usefulness of uniformity in experimental design. It turns out that the uniformity should be an important criterion, which can provide additional information to all existing criteria, for comparing designs. Connections between uniformity, orthogonality, aberration, confounding, and isomorphism of fractional factorial designs are discussed. A new concept, uniformly orthogonal design, is proposed.

Original language	English
Title of host publication	Multivariate Statistics
Subtitle of host publication	Proceedings of the 6th Tartu Conference, Tartu, Estonia, 19–22 August 1999
Editors	T. Kollo, E. M. Tiit, M. Srivastava
Publisher	de Gruyter
Chapter	5
Pages	51-59
Number of pages	9
ISBN (Electronic)	9783110944655
ISBN (Print)	9783110628173
DOIs	https://doi.org/10.1515/9783110944655.51
Publication status	Published - 1 Jan 2000
Externally published	Yes
Event	The 6th Tartu Conference on Multivariate Statistics - Estonia, Tartu, Estonia Duration: 19 Aug 1999 → 22 Aug 1999 https://www-1.ms.ut.ee/tartu99/ (Link to conference website)

Publication series

Name	New Trends in Probability and Statistics
Publisher	De Gruyter
Volume	5

Conference

Conference	The 6th Tartu Conference on Multivariate Statistics
Country/Territory	Estonia
City	Tartu
Period	19/08/99 → 22/08/99
Internet address	https://www-1.ms.ut.ee/tartu99/ (Link to conference website)

Access to Document

10.1515/9783110944655.51

Cite this

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title = "The Usefulness of Uniformity in Experimental Design",

abstract = "There are many criteria in experimental design such as balance, randomness, orthogonality, efficiency, robustness, etc. In this paper we review the usefulness of uniformity in experimental design. It turns out that the uniformity should be an important criterion, which can provide additional information to all existing criteria, for comparing designs. Connections between uniformity, orthogonality, aberration, confounding, and isomorphism of fractional factorial designs are discussed. A new concept, uniformly orthogonal design, is proposed.",

author = "Fang, {Kai Tai} and Ma, {Chang Xing}",

note = "Funding information: This work was partially supported by the Hong Kong RGC Grant. Publisher copyright: {\textcopyright} 2000 VSP/TEV; The 6th Tartu Conference on Multivariate Statistics ; Conference date: 19-08-1999 Through 22-08-1999",

year = "2000",

month = jan,

day = "1",

doi = "10.1515/9783110944655.51",

language = "English",

isbn = "9783110628173",

series = "New Trends in Probability and Statistics",

publisher = "de Gruyter",

pages = "51--59",

editor = "Kollo, {T. } and Tiit, {E. M.} and M. Srivastava",

booktitle = "Multivariate Statistics",

address = "Germany",

url = "https://www-1.ms.ut.ee/tartu99/",

}

Fang, KT & Ma, CX 2000, The Usefulness of Uniformity in Experimental Design. in T Kollo, EM Tiit & M Srivastava (eds), Multivariate Statistics: Proceedings of the 6th Tartu Conference, Tartu, Estonia, 19–22 August 1999. New Trends in Probability and Statistics, vol. 5, de Gruyter, pp. 51-59, The 6th Tartu Conference on Multivariate Statistics, Tartu, Estonia, 19/08/99. https://doi.org/10.1515/9783110944655.51

The Usefulness of Uniformity in Experimental Design. / Fang, Kai Tai; Ma, Chang Xing.
Multivariate Statistics: Proceedings of the 6th Tartu Conference, Tartu, Estonia, 19–22 August 1999. ed. / T. Kollo; E. M. Tiit; M. Srivastava. de Gruyter, 2000. p. 51-59 (New Trends in Probability and Statistics; Vol. 5).

Research output: Chapter in book/report/conference proceeding › Conference proceeding › peer-review

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AU - Ma, Chang Xing

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N2 - There are many criteria in experimental design such as balance, randomness, orthogonality, efficiency, robustness, etc. In this paper we review the usefulness of uniformity in experimental design. It turns out that the uniformity should be an important criterion, which can provide additional information to all existing criteria, for comparing designs. Connections between uniformity, orthogonality, aberration, confounding, and isomorphism of fractional factorial designs are discussed. A new concept, uniformly orthogonal design, is proposed.

AB - There are many criteria in experimental design such as balance, randomness, orthogonality, efficiency, robustness, etc. In this paper we review the usefulness of uniformity in experimental design. It turns out that the uniformity should be an important criterion, which can provide additional information to all existing criteria, for comparing designs. Connections between uniformity, orthogonality, aberration, confounding, and isomorphism of fractional factorial designs are discussed. A new concept, uniformly orthogonal design, is proposed.

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SN - 9783110628173

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BT - Multivariate Statistics

A2 - Kollo, T.

A2 - Tiit, E. M.

A2 - Srivastava, M.

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T2 - The 6th Tartu Conference on Multivariate Statistics

Y2 - 19 August 1999 through 22 August 1999

ER -

The Usefulness of Uniformity in Experimental Design

Abstract

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