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Orthogonal Column Latin Hypercubes and Their Application in Computer Experiments
Kenny Q. Ye
Journal of the American Statistical Association
Vol. 93, No. 444 (Dec., 1998), pp. 1430-1439
Stable URL: http://www.jstor.org/stable/2670057
Page Count: 10
You can always find the topics here!Topics: Experiment design, Matrices, Cooling systems, Maximin, Design analysis, Regression analysis, Computer modeling, Mathematical vectors, Factorial design, Orthogonality
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Latin hypercubes have been frequently used in conducting computer experiments. In this paper, a class of orthogonal Latin hypercubes that preserves orthogonality among columns is proposed. Applying an orthogonal Latin hypercube design to a computer experiment benefits the data analysis in two ways. First, it retains the orthogonality of traditional experimental designs. The estimates of linear effects of all factors are uncorrelated not only with each other, but also with the estimates of all quadratic effects and bilinear interactions. Second, it can facilitate nonparametric fitting procedures, because one can select good space-filling designs within the class of orthogonal Latin hypercubes according to selection criteria.
Journal of the American Statistical Association © 1998 American Statistical Association