The usefulness of uniformity in experimental design

Kai-tai Fang, Chang-xing Ma

Research output: Chapter in book/report/conference proceedingChapterpeer-review


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 languageEnglish
Title of host publicationMultivariate Statistics
EditorsT. Kollo, E.M. Tiit, M. Srivastava
Publisherde Gruyter
Number of pages9
ISBN (Electronic)9783110944655
ISBN (Print)9783110628173
Publication statusPublished - 1 Jan 2000
Externally publishedYes


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