Orthogonal-column Latin hypercube designs with small samples
Philip Prescott
Computational Statistics & Data Analysis, 2009, vol. 53, issue 4, 1191-1200
Abstract:
Latin hypercube designs with zero pair-wise column correlations are examined for their space-filling properties. Such designs, known as orthogonal-column Latin hypercube designs, are often used in computer experiments and in screening experiments, since all coefficients in a first-order model are estimated independently of each other. This makes interpretation of the factor effects particularly simple. Complete or partial enumeration searches are carried out to investigate the space-filling properties of all orthogonal-column Latin hypercube designs, with from 5 to 9 runs, and, from 2 to 5 factors. In cases where there are several designs with similar properties, the designs with minimum mean squared distance are determined. The maximum number of factors that can be accommodated in orthogonal-column Latin hypercube designs is determined for each design size, and designs found by various algorithmic methods proposed in the literature are identified.
Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:53:y:2009:i:4:p:1191-1200
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