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Construction of nearly orthogonal Latin hypercube designs

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Abstract

The Latin hypercube design (LHD) is a popular choice of experimental design when computer simulation is used to study a physical process. In this paper, we propose some methods for constructing nearly orthogonal Latin hypercube designs (NOLHDs) with 2, 4, 8, 12, 16, 20 and 24 factors having flexible run sizes. These designs can be very useful when orthogonal Latin hypercube designs (OLHDs) of the needed sizes do not exist.

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Acknowledgments

The authors thank the Editor and one anonymous referee for their valuable comments. Liu’s work is partially supported by the National Natural Science Foundation of China (Grant No. 11271205), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20130031110002), and the “131” Talents Program of Tianjin.

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Author notes

  1. Stelios D. Georgiou

    Present address: School of Mathematical and Geospatial Sciences, RMIT University, Melbourne, VIC, 3001, Australia

Authors and Affiliations

  1. Department of Mathematics, University of the Aegean, Karlovassi, 83200 , Samos, Greece

    Ifigenia Efthimiou & Stelios D. Georgiou

  2. LPMC and Institute of Statistics, Nankai University, Tianjin, 300071, China

    Min-Qian Liu

Authors
  1. Ifigenia Efthimiou
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  2. Stelios D. Georgiou
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  3. Min-Qian Liu
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Corresponding author

Correspondence to Stelios D. Georgiou.

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Efthimiou, I., Georgiou, S.D. & Liu, MQ. Construction of nearly orthogonal Latin hypercube designs. Metrika 78, 45–57 (2015). https://doi.org/10.1007/s00184-014-0489-5

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  • DOI: https://doi.org/10.1007/s00184-014-0489-5

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