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

66 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

Access to Document

10.1093/biomet/asp058

Fingerprint Dive into the research topics of 'Construction of orthogonal Latin hypercube designs'. Together they form a unique fingerprint.

Cite this

@article{9e7d3a14405843fda94631ba19ebfe52,

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.",

year = "2009",

month = dec,

doi = "10.1093/biomet/asp058",

language = "English (US)",

volume = "96",

pages = "971--974",

journal = "Biometrika",

issn = "0006-3444",

publisher = "Oxford University Press",

number = "4",

}

TY - JOUR

T1 - Construction of orthogonal Latin hypercube designs

AU - Sun, Fasheng

AU - Liu, Min Qian

AU - Lin, Dennis K.J.

N1 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=71249083570&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=71249083570&partnerID=8YFLogxK

U2 - 10.1093/biomet/asp058

DO - 10.1093/biomet/asp058

M3 - Article

AN - SCOPUS:71249083570

VL - 96

SP - 971

EP - 974

JO - Biometrika

JF - Biometrika

SN - 0006-3444

IS - 4

ER -

Construction of orthogonal Latin hypercube designs

Abstract

All Science Journal Classification (ASJC) codes

Access to Document

Other files and links

Cite this