Construction of orthogonal and nearly orthogonal Latin hypercubes

Devon Lin, C. ; Mukerjee, Rahul ; Tang, Boxin (2009) Construction of orthogonal and nearly orthogonal Latin hypercubes Biometrika, 96 (1). pp. 243-247. ISSN 0006-3444

Full text not available from this repository.

Official URL: http://biomet.oxfordjournals.org/content/96/1/243....

Related URL: http://dx.doi.org/10.1093/biomet/asn064

Abstract

We propose a method for constructing orthogonal or nearly orthogonal Latin hypercubes. The method yields a large Latin hypercube by coupling an orthogonal array of index unity with a small Latin hypercube. It is shown that the large Latin hypercube inherits the exact or near orthogonality of the small Latin hypercube. Thus, effort for searching for large Latin hypercubes, that are exactly or nearly orthogonal, can be focussed on finding small Latin hypercubes with the same property. We obtain a useful collection of orthogonal or nearly orthogonal Latin hypercubes, which have a large factor-to-run ratio and the results are often much more economical than existing methods.

Item Type:Article
Source:Copyright of this article belongs to Oxford University Press.
Keywords:Computer Experiment; Correlation Matrix; Index; Latin Hypercube; Orthogonal Array
ID Code:20321
Deposited On:20 Nov 2010 14:40
Last Modified:02 Mar 2011 07:16

Repository Staff Only: item control page