Exchange algorithms for constructing large spatial designs

Journal of Statistical Planning and Inference

Volumn 100, Issue 2, 2002, Pages 121-134

  Royle, J A ^a,b  

^a NATIONAL CENTER FOR ATMOSPHERIC RESEARCH   (United States)

^b U S FISH AND WILDLIFE SERVICE   (United States)

Author keywords

Exchange algorithms; Spatial design

Indexed keywords

EID: 14944362244     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-3758(01)00127-6     Document Type: Article

References (26)

1. Benedetti, R., Palma, D., 1995. Optimal sampling designs for dependent spatial units. Environmetrics 6, 101-114.
2. Box, M.J., Draper, N.R., 1971. Factorial designs, the |X'X| criterion, and some related matters. Technometrics 13, 731-742.
3. Cook, R.D., Nachtsheim, C.J., 1980. A comparison of algorithms for constructing exact D-optimal designs. Technometrics 22 (3), 315-324.
4. Cox, D.D., Cox, L.H., Ensor, K.B., 1995. Spatial sampling and the environment. Technical Report 18, National Institute of Statistical Sciences, RTF, NC.
5. Cressie, N., 1991. Statistics for Spatial Data. Wiley, New York.
6. Evans, J.W., 1979. Computer augmentation of experimental designs to maximize |X'X|. Technometrics 22, 321-330.
7. Federov, V.V., 1972. Theory of Optimal Experiments (translation). Academic Press, New York.
8. Haas, T.C., 1992. Redesigning continental-scale monitoring networks. Atmos. Environ. 26A (18), 3323-3333.
9. Haines, L.M., 1987. The application of the annealing algorithm to the construction of exact optimal designs for linear-regression models. Technometrics 29, 439-447.
10. Haiste, T.J., Tibshirani, R.J., 1990. Generalized Additive Models. Chapman & Hall, New York.
11. Hardin, R.H., Sloane, N.J.A., 1994a. A new approach to the construction of optimal designs. J. Statist. Plann. Inference 37, 339-369.
12. Hardin, R.H., Sloane, N.J.A., 1994b. GOSSET: a general-purpose program for designing experiments, www.research.att.com/njas/gosset/.
13. Johnson, M.E., Nachtsheim, C.J., 1983. Some guidelines for constructing exact D-optimal designs on convex design spaces. Technometrics 25 (3), 271-277.
14. Kennard, R.W., Stone, L.A., 1969. Computer aided design of experiments. Technometrics 11, 137-148.
15. Meyer, R.K., Nachtsheim, C.J., 1988. Simulated annealing in the construction of exact optimal design of experiments. Amer. J. Math. Manage. Sci. 8, 329-359.
16. Meyer, R.K., Nachtsheim, C.J., 1995. The coordinate-exchange algorithm for constructing exact optimal experimental designs. Technometrics 37 (1), 60-69.
17. Mitchell, T.J., 1974. An algorithm for the construction of "D-optimal" experimental designs. Technometrics 16, 203-210.
18. Mitchell, T.J., Miller, F.L., 1970. Use of "design repair" to construct designs for special linear models. Math. Div. Ann. Progr. Rept. (ORNL-4661), Oak Ridge National Laboratory, Oak Ridge, Tennessee, pp. 130-131.
19. Nychka, D., Yang, Q., Royle, J.A., 1997. Constructing spatial designs for monitoring air pollution using subset regression. In: Barnett, V., Turkman, K.F. (Eds.), Statistics for the Environment 3: Pollution Assessment and Control. Wiley, New York, pp. 131-154.
20. Nychka, D., Saltzman, N., 1998. Design of air quality monitoring networks. In: Nychka, D., Piegorsch, W., Cox, L. (Eds.), Case Studies in Environmental Statistics, Springer Lecture Notes in Statistics. Springer, Berlin, pp. 51-75.
21. Oehlert, G.W., 1996. Shrinking a wet deposition network. Atmos. Environ. 30 (8), 1347-1357.
22. Oehlert, G.W., 1995. The ability of wet deposition networks to detect temporal trends. Environmetrics 6, 327-339.
23. Royle, J.A., Nychka, D., 1998. An algorithm for the construction of spatial coverage designs with implementation in Splus. Comput. Geosci. 24 (5), 479-488.
24. SAS, 1995. SAS QC Software, Vol. 1: Usage and Reference, SAS Institute, Inc., Cary, NC.
25. Welch, W.J., 1982. Branch-and-bound search for experimental designs based on D optimality and other criteria. Technometrics 26, 217-224.
26. Wynn, H.P., 1972. Results in the theory and construction of D-optimum experimental designs. J. Roy. Statist. Soc. Ser. B 34, 133-147.