Orthogonal Latin hypercube designs from generalized orthogonal designs

Journal of Statistical Planning and Inference

Volumn 139, Issue 4, 2009, Pages 1530-1540

  Georgiou, Stelios D ^a  

^a UNIVERSITY OF THE AEGEAN   (Greece)

Author keywords

Computer experiment; Generalized orthogonal design; Latin hypercube design; Orthogonal design

Indexed keywords

EID: 57749175765     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2008.08.016     Document Type: Article

References (17)

1. Butler N.A. Optimal and orthogonal Latin hypercube designs for computer experiments. Biometrika 88 (2001) 847-857
2. Fang K.T., Li R., and Sudjianto A. Design and Modeling for Computer Experiments (2006), CRC Press, New York
3. Georgiou S., Koukouvinos C., and Seberry J. Hadamard matrices, orthogonal designs and construction algorithms. In: Wallis W.D. (Ed). Designs 2002: Further Computational and Constructive Design Theory (2003), Kluwer Academic Publishers, Norwell, MA 133-205 (Chapter 7)
4. Georgiou S., Koukouvinos C., and Seberry J. Generalized orthogonal designs. Ars Combin. 71 (2004) 33-48
5. Geramita A.V., and Seberry J. Orthogonal Designs: Quadratic Forms and Hadamard Matrices (1979), Marcel Dekker, New York, Basel
6. Geramita A.V., Geramita J.M., and Seberry J.W. Orthogonal designs. Linear Multilinear Algebra 3 (1976) 281-306
7. Hamada M., and Wu C.F.J. Analysis of designed experiments with complex aliasing. J. Qual. Technol. 24 (1992) 130-137
8. Kharaghani H. Arrays for orthogonal designs. J. Combin. Designs 8 (2000) 166-173
9. Koukouvinos C., Mitrouli M., Seberry J., and Karabelas P. On sufficient conditions for some orthogonal designs and sequences with zero autocorrelation function. Austral. J. Combin. 13 (1996) 197-216
10. McKay M.D., Beckman R.J., and Conover W.J. A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 21 (1979) 239-245
11. Morris M.D., and Mitchell T.J. Exploratory designs for computer experiments. J. Statist. Plann. Inference 43 (1995) 381-402
12. Owen A.B. Controlling correlations in Latin hypercube samples. J. Amer. Statist. Assoc. 89 (1994) 1517-1522
13. Sacks J., Welch W.J., Mitchell T.J., and Wynn H.P. Design and analysis of computer experiments. Statist. Sci. 4 (1989) 409-423
14. Steinberg M., and Lin D.K.J. A construction method for orthogonal Latin hypercube designs. Biometrika 93 (2006) 279-288
15. Tang B. Orthogonal array-based Latin hypercubes. J. Amer. Statist. Assoc. 88 (1993) 1392-1397
16. Welch W.J., Buck R.J., Sacks J., Wynn H.P., Mitchell T.J., and Morris M.D. Screening predicting and computer experiments. Technometrics 34 (1992) 15-25
17. Ye K.Q. Orthogonal column Latin hypercubes and their application in computer experiments. J. Amer. Statist. Assoc. 93 (1998) 1430-1439