Construction of orthogonal Latin hypercube designs

Fasheng Sun; Min Qian Liu; Dennis K.J. Lin

doi:10.1093/biomet/asp058

Construction of orthogonal Latin hypercube designs

Fasheng Sun, Min Qian Liu, Dennis K.J. Lin

Statistics

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

70 Scopus citations

Abstract

Latin hypercube designs have found wide application. Such designs guarantee uniform samples for the marginal distribution of each input variable. We propose a method for constructing orthogonal Latin hypercube designs in which all the linear terms are orthogonal not only to each other, but also to the quadratic terms. This construction method is convenient and flexible, and the resulting designs can accommodate many more factors than can existing ones.

Original language	English (US)
Pages (from-to)	971-974
Number of pages	4
Journal	Biometrika
Volume	96
Issue number	4
DOIs	https://doi.org/10.1093/biomet/asp058
State	Published - Dec 2009

All Science Journal Classification (ASJC) codes

Statistics and Probability
Mathematics(all)
Agricultural and Biological Sciences (miscellaneous)
Agricultural and Biological Sciences(all)
Statistics, Probability and Uncertainty
Applied Mathematics

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10.1093/biomet/asp058

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title = "Construction of orthogonal Latin hypercube designs",

abstract = "Latin hypercube designs have found wide application. Such designs guarantee uniform samples for the marginal distribution of each input variable. We propose a method for constructing orthogonal Latin hypercube designs in which all the linear terms are orthogonal not only to each other, but also to the quadratic terms. This construction method is convenient and flexible, and the resulting designs can accommodate many more factors than can existing ones.",

author = "Fasheng Sun and Liu, {Min Qian} and Lin, {Dennis K.J.}",

note = "Funding Information: This work was supported by the Program for New Century Excellent Talents in University and the National Natural Science Foundation of China. The authors thank the editor, the referees, and Dr. Nam-Ky Nguyen for their valuable comments and suggestions.",

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AU - Liu, Min Qian

AU - Lin, Dennis K.J.

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PY - 2009/12

Y1 - 2009/12

N2 - Latin hypercube designs have found wide application. Such designs guarantee uniform samples for the marginal distribution of each input variable. We propose a method for constructing orthogonal Latin hypercube designs in which all the linear terms are orthogonal not only to each other, but also to the quadratic terms. This construction method is convenient and flexible, and the resulting designs can accommodate many more factors than can existing ones.

AB - Latin hypercube designs have found wide application. Such designs guarantee uniform samples for the marginal distribution of each input variable. We propose a method for constructing orthogonal Latin hypercube designs in which all the linear terms are orthogonal not only to each other, but also to the quadratic terms. This construction method is convenient and flexible, and the resulting designs can accommodate many more factors than can existing ones.

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Construction of orthogonal Latin hypercube designs

Abstract

All Science Journal Classification (ASJC) codes

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