Practical considerations for experimental designs of spatially autocorrelated data using computer intensive methods

Statistical Methodology

Volumn 9, Issue 1-2, 2012, Pages 172-184

  Ver Hoef, Jay M ^a  

^a NOAA National Marine Mammal Laboratory   (United States)

Author keywords

A optimality; Autoregressive models; Geostatistics; Optimal design; Stochastic process

Indexed keywords

EID: 81255168177     PISSN: 15723127     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.stamet.2011.04.005     Document Type: Article

References (20)

1. Benedetti R., Palma D. Optimal sampling designs for dependent spatial units. EnvironMetrics 1995, 6:101-114.
2. Bergeret F., Besse P. Simulated annealing, weighted simulated annealing and genetic algorithm at work. Computational Statistics 1997, 12:447-465.
3. Cressie N. Fitting models by weighted least squares. Journal of the International Association for Mathematical Geology 1985, 17:563-586.
4. Cressie N.A.C. Statistics for Spatial Data 1993, John Wiley & Sons, New York.
5. Fedorov V. Design of spatial experiments: model fitting and prediction. Handbook of Statistics 1996, vol. 13:515-553. Elsevier/North-Holland, Elsevier Science Publishing Co., New York; North-Holland Publishing Co., Amsterdam. S. Ghosh, C.R. Rao (Eds.).
6. Fisher R.A. The Design of Experiments 1935, Oliver and Boyd, Edinburgh.
7. Geman S., Geman D. Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Transactions on Pattern Analysis and Machine Intelligence 1984, PAMI-6:721-741.
8. Goldberg D.E. Genetic Algorithms in Search, Optimization, and Machine Learning 1989, Addison-Wesley, Reading, MA.
9. Grondona M.O., Cressie N. Efficiency of block designs under stationary second-order autoregressive errors. Sankhya A 1992, 54:267-284.
10. Hinklemann K., Kempthorne O. Design and Analysis of Experiments, Volume I: Introduction to Experimental Design 1994, John Wiley and Sons, New York, NY.
11. Jansen J., Douven R.C.M.H., van Berkum E.E.M. An annealing algorithm for searching optimal block designs. Biometrical Journal 1992, 34:529-538.
12. Johnson R.A., Wichern D.W. Applied Multivariate Statistical Analysis 1998, Prentice-Hall Inc.
13. Kiefer J. Construction and optimality of generalized Youden designs. Statistical Design and Linear Models 1975, 333-354. Elsevier/North-Holland, Elsevier Science Publishing Co., New York; North-Holland Publishing Co., Amsterdam.
14. Lenart E.A., Bowyer R.T., Ver Hoef J.M., Ruess R.W. Climate change and caribou: effects of summer weather on forage. Journal of Zoology 2002, 80:664-678.
15. Meyer R.K., Nachtsheim C.J. Constructing exact D-optimal experimental designs by simulated annealing. American Journal of Mathematical and Management Sciences 1988, 8:329-359.
16. Müller W.G. Collecting Spatial Data: Optimum Design of Experiments for Random Fields 2000, Physica-Verlag Ges.m.b.H.
17. Nelder J.A., Mead R. A simplex method for function minimization. Computer Journal 1965, 7:308-313.
18. R Development Core Team. 2010. R: a language and environment for statistical computing, R Foundation for Statistical Computing, Vienna, Austria, ISBN: 3-900051-07-0.
19. Schilling M.F. Spatial designs when the observations are correlated. Communications in Statistics: Simulation and Computation 1992, 21:243-267.
20. Van Groenigen J.W., Stein A. Constrained optimization of spatial sampling using continuous simulated annealing. Journal of Environmental Quality 1998, 27:1078-1086.