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 › Chapter › 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
Editors	T. Kollo, E.M. Tiit, M. Srivastava
Publisher	de Gruyter
Chapter	5
Pages	51-59
Number of pages	9
Volume	5
ISBN (Electronic)	9783110944655
ISBN (Print)	9783110628173
DOIs	https://doi.org/10.1515/9783110944655.51
Publication status	Published - 1 Jan 2000
Externally published	Yes

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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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M3 - Chapter

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The usefulness of uniformity in experimental design

Abstract

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