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Vol 9, No 3:

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Some New Families of Orthogonal Latin Hypercube Designs with Nine Columns
Abstract
Orthogonal Latin hypercube designs (OLHDs) are becoming a popular choice in computer experiments. In this paper, we construct some new families of OLHDs with nine columns by combining orthogonal designs. The proposed method has an advantage that it can be used to construct OLHDs with better space-filling properties. We have also proposed a method to construct OLHDs with greater number of factors which are some multiples of nine.
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References
  1. A. Dey and D. Sarkar; A Note on the Construction of Orthogonal Latin Hypercube Designs. Journal of Combinatorial Designs, 24, 105-111 (2016).
  2. A. Dey and D. Sarkar; A New Family of Orthogonal Latin Hypercube Designs, Australasian Journal of Combinatorics, 69(1), 58-62 (2017).
  3. B. N. Mandal; S. Dash; S. Parui and R. Prasad; Orthogonal Latin Hypercube Designs with Special Reference to Four Factors. Statistics and Probability Letters, 119, 181-185 (2016).
  4. C. D. Lin; D. Bingham; R. R. Sitter and B. Tang; A New and Flexible Method for Constructing Designs for Computer Experiments. The Annals of Statistics, 38, 1460–1477 (2010). 
  5. F. Sun and B. Tang; A General Rotation Method for Orthogonal Latin Hypercubes. Biometrika, 104(2), 465–472 (2017).
  6. H. Evangelaras; Evaluation and Enumeration of Small Orthogonal Latin Hypercube Designs for Polynomial Regression Models. Quality and Reliability Engineering International, 32, 2381-2389 (2016).
  7. H. Evangelaras and M. V. Koutras; On Second Order Orthogonal Latin Hypercube Designs. Journal of Complexity, 39, 111-121 (2017).
  8. J. Yang and M. Q. Liu; Construction of Orthogonal and Nearly Orthogonal Latin Hypercube Designs from Orthogonal Designs. Statistica Sinica, 22, 433–442 (2012). 
  9. K. Q. Ye; Orthogonal Column Latin Hypercubes and their Application in Computer Experiments. Journal of the American Statistical Association, 93(444), 1430–1439 (1998). 
  10. P. Prescott; Orthogonal-Column Latin Hypercube Designs with Small Samples. Computational Statistics and Data Analysis, 53, 1191-1200 (2009).
  11. S. D. Georgiou and I. Efthimiou; Some Classes of Orthogonal Latin Hypercube Designs, Statistica Sinica, 24, 101–120 (2014). 
  12. S. Parui; B. N. Mandal; R. Prasad and S. Dash; Orthogonal Latin Hypercube Designs for Three Columns. Utilitas Mathematica, 108, 149-158 (2018).
  13. S. Dash; B. N. Mandal; R. Prasad and S. K. Sarkar; A Note on Second Order Orthogonal Latin Hypercube Designs. Journal of the Indian Society of Agricultural Statistics, 73(2), 133-136 (2019).
  14. T. M. Cioppa and T. W. Lucas; Efficient Nearly Orthogonal and Space-Filling Latin Hypercubes. Technometrics, 49(1), 45–55 (2007).

ISSN(P) 2350-0174

ISSN(O) 2456-2378

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