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A general rotation method for orthogonal Latin hypercubes

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&NA; Orthogonal Latin hypercubes provide a class of useful designs for computer experiments. Among the available methods for constructing such designs, the method of rotation is particularly prominent due to… Click to show full abstract

&NA; Orthogonal Latin hypercubes provide a class of useful designs for computer experiments. Among the available methods for constructing such designs, the method of rotation is particularly prominent due to its theoretical appeal as well as its spaceā€filling properties. This paper presents a general method of rotation for constructing orthogonal Latin hypercubes, making the rotation idea applicable to many more situations than the original method allows. In addition to general theoretical results, many new orthogonal Latin hypercubes are obtained and tabulated.

Keywords: latin hypercubes; rotation method; orthogonal latin; general rotation

Journal Title: Biometrika
Year Published: 2017

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