A measurement of multi-factor orthogonality

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

doi:10.1016/0167-7152(95)00125-5

A measurement of multi-factor orthogonality

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

Statistics

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

17 Scopus citations

Abstract

Orthogonality has been considered as an important design priority in the design literature. This article provides a set of criteria to measure "how orthogonal" a design may be when it is not perfectly orthogonal. These criteria can be obviously applied to a wide variety of designs. Properties of these criteria are discussed, using some existing supersaturated designs as examples.

Original language	English (US)
Pages (from-to)	203-209
Number of pages	7
Journal	Statistics and Probability Letters
Volume	28
Issue number	3
DOIs	https://doi.org/10.1016/0167-7152(95)00125-5
State	Published - Jul 1996

All Science Journal Classification (ASJC) codes

Statistics and Probability
Statistics, Probability and Uncertainty

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10.1016/0167-7152(95)00125-5

Cite this

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title = "A measurement of multi-factor orthogonality",

abstract = "Orthogonality has been considered as an important design priority in the design literature. This article provides a set of criteria to measure {"}how orthogonal{"} a design may be when it is not perfectly orthogonal. These criteria can be obviously applied to a wide variety of designs. Properties of these criteria are discussed, using some existing supersaturated designs as examples.",

author = "Deng, \{Lib Yuan\} and Lin, \{Dennis K.J.\} and Jiannong Wang",

note = "Funding Information: Dennis Lin is partially supported by a Visiting Scientist Fellowship via IBM Watson Research Center, and National Science Foundation Grant DMS-9204007. Copyright: Copyright 2017 Elsevier B.V., All rights reserved.",

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AU - Lin, Dennis K.J.

AU - Wang, Jiannong

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PY - 1996/7

Y1 - 1996/7

N2 - Orthogonality has been considered as an important design priority in the design literature. This article provides a set of criteria to measure "how orthogonal" a design may be when it is not perfectly orthogonal. These criteria can be obviously applied to a wide variety of designs. Properties of these criteria are discussed, using some existing supersaturated designs as examples.

AB - Orthogonality has been considered as an important design priority in the design literature. This article provides a set of criteria to measure "how orthogonal" a design may be when it is not perfectly orthogonal. These criteria can be obviously applied to a wide variety of designs. Properties of these criteria are discussed, using some existing supersaturated designs as examples.

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UR - https://www.scopus.com/pages/publications/0030191272#tab=citedBy

U2 - 10.1016/0167-7152(95)00125-5

DO - 10.1016/0167-7152(95)00125-5

M3 - Article

AN - SCOPUS:0030191272

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SP - 203

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JO - Statistics and Probability Letters

JF - Statistics and Probability Letters

IS - 3

ER -

A measurement of multi-factor orthogonality

Abstract

All Science Journal Classification (ASJC) codes

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