Orthogonal and nearly orthogonal designs for computer experiments

Biometrika

Volumn 96, Issue 1, 2009, Pages 51-65

  Bingham, Derek ^a   Sitter, Randy R ^a   Tang, Boxin ^a  

^a SIMON FRASER UNIVERSITY   (Canada)

Author keywords

Fractional factorial; Hadamard matrix; J characteristic; Kronecker product; Latin hypercube; Orthogonal array; Resolution IV design

Indexed keywords

EID: 60449109721     PISSN: 00063444     EISSN: 14643510     Source Type: Journal    
DOI: 10.1093/biomet/asn057     Document Type: Article

References (22)

1. BUTLER, N. A. (2001). Optimal and orthogonal Latin hypercube designs for computer experiments. Biometrika 88, 847-57.
2. BUTLER, N. A. (2003). Minimum aberration construction results for nonregular two-level fractional factorial designs. Biometrika 90, 891-8.
3. CHEN, H. & CHENG, C.-S. (2006). Doubling and projection: A method of constructing two-level designs of resolution IV Ann. Statist. 34, 546-58.
4. CHENG, C.-S., MEE, R. W. & YEE, O. (2008). Second order saturated orthogonal arrays of strength three. Statist. Sinica 18, 105-19.
5. HANDCOCK, M. S. (1991). On cascading Latin hypercube designs and additive models for experiments. Commun. Statist. A 20, 417-39.
6. HEDAYAT, A. S., SLOANE, N. J. A. & STUFKEN, J. (1999). Orthogonal Arrays: Theory and Applications. New York: Springer.
7. HOTELLING, H. (1944). Some improvements in weighing and other experimental techniques. Ann. Math. Statist. 15, 297-306.
8. KISHEN, K. (1945). On the design of experiments for weighing and making other types of measurements. Ann. Math. Statist. 16, 294-300.
9. m series. Technometrics 11, 431-44.
10. MCKAY, M. D., BECKMAN, R. J. & CONOVER, W. J. (1979). A comparison of three methods for selecting values of input variables in the analysis of output from a computer code. Technometrics 16, 239-45.
11. MOOD, A. M. (1946). On Hotelling's weighing problem. Ann. Math. Statist. 17, 432-46.
12. OWEN, A. B. (1994). Controlling correlations in Latin hypercube samples. J. Am. Statist. Assoc. 89, 1517-22.
13. OWEN, A. B. (1997). Scrambled net variance for integrals of smooth functions. Ann. Statist. 25, 1541-62.
14. RAGHAVARAO, D. (1959). Some optimum weighing designs. Ann. Math. Statist. 30, 295-303.
15. SANTNER, T. J., WILLIAMS, B. J. & NOTZ, W. I. (2003). The Design and Analysis of Computer Experiments. New York: Springer.
16. SACKS, J., WELCH, W. J., MITCHELL, T. J. & WYNN, H. P. (1989). Design and analysis of computer experiments. Statist. Sci. 4, 409-23.
17. STEINBERG, D. M. & LIN, D. K. J. (2006). A construction method for orthogonal Latin hypercube designs. Biometrika 93, 279-88.
18. TANG, B. (1998). Selecting Latin hypercubes using correlation criteria. Statist. Sinica 8, 965-77.
19. TANG, B. (2006). Orthogonal arrays robust to nonnegligible two-factor interactions. Biometrika 93, 137-46.
20. YANG, C. H. (1966). Some designs of maximal (+1, -1)-determinant of order n = 2(mod 4). Math. Comp. 20, 147-8.
21. YANG, C. H. (1968). Some designs of maximal (+1, -1)-matrices of order n = 2(mod 4). Math. Comp. 22, 174-80.
22. YE, K. Q. (1998). Orthogonal column Latin hypercubes and their application in computer experiments. J. Am. Statist. Assoc. 93, 1430-9.