SOME CLASSES OF ORTHOGONAL LATIN HYPERCUBE DESIGNS

Latin hypercube designs (LHDs) are commonly used in designing computer experiments. A number of methods have been proposed to construct LHDs with orthogonality among the main-effects. In this paper, we propose a new method for constructing orthogonal LHDs (OLHDs) with 12, 16, 20, and 24 factors havi...

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Bibliographic Details
Published in:Statistica Sinica 2014-01, Vol.24 (1), p.101-120
Main Authors: Georgiou, Stelios D., Efthimiou, Ifigenia
Format: Article
Language:English
Subjects:
Autocorrelation
Experiment design
Inference
Integers
Kronecker product
Mathematical vectors
Matrices
Orthogonality
Real numbers
Regression analysis
Online Access:Get full text
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Summary:Latin hypercube designs (LHDs) are commonly used in designing computer experiments. A number of methods have been proposed to construct LHDs with orthogonality among the main-effects. In this paper, we propose a new method for constructing orthogonal LHDs (OLHDs) with 12, 16, 20, and 24 factors having a flexible run size. Moreover, using these designs we provide new multiplication methods and further constructions for OLHDs. These constructions lead to infinite families of OLHD with many factors. For example, we show that when anOLHD(n, m) exists, there also exist OLHDs with (runs, factors) ∈ {(24n, 12m), (32n, 16m), (40n, 20m), (48n, 24m), (24n+ 1, 12m), (32n+ 1, 16m), (40n+ 1, 20m), (48n+ 1, 24m)}.
ISSN:1017-0405
1996-8507
DOI:10.5705/ss.2012.142