Spatial regression models, response surfaces, and process optimization

Journal of Computational and Graphical Statistics

Volumn 6, Issue 2, 1997, Pages 224-241

  O’connell, Michael A ^a   Wolfinger, Russell D ^b  

^a BD Technologies   (United States)

^b SAS INSTITUTE INC   (United States)

Author keywords

Maximin and minimax design; Mixed models; Response surface methods; Thin plate splines; Universal kriging

Indexed keywords

EID: 0031497541     PISSN: 10618600     EISSN: 15372715     Source Type: Journal    
DOI: 10.1080/10618600.1997.10474738     Document Type: Article

References (27)

1. Bates, D.M., Lindstrom, M.J., Wahba, G., and Yandell, B.S. (1987), “GCVPACK-Routines for Generalized Cross Validation,” Communications in Statistics, Simulation and Computation, 16, 263-297.
2. Box, G.E.P., and Draper, N.R. (1987), Empirical Model Building and Response Surfaces, New York: John Wiley.
3. Cressie, N. (1990), “Geostatistics for Spatial Data,” The American Statistician, 43, 197-202.
4. Cressie, N. (1991), Statistics for Spatial Data, New York: John Wiley.
5. Dubrule, O. (1983), “Two Methods With Different Objectives: Splines and Kriging,” Mathematical Geology, 15, 245-257.
6. Green, P.J., and Silverman, B.W. (1994), Nonparametric Regression and Generalized Linear Models, London: Chapman and Hall.
7. Haaland, P.D., and O’Connell, M.A. (1995), “Inference for Effect-Saturated Fractional Factorials,” Technometrics, 37, 82-93.
8. Hardin, R.H., and Sloane, N.J.A. (1994), Operating Manual for Gosset: A General Purpose Program for Constructing Experimental Designs, Murray Hill, NJ: AT&T Bell Laboratories.
9. Harville, D.A. (1990), “BLUP (Best Linear Unbiased Prediction), and Beyond,” in Advances in Statistical Methods for Genetic Improvement of Livestock, eds. D. Gianola and K. Hammond, New York: SpringerVerlag, pp. 239-276.
10. Hastie, T., and Tibshirani, R. (1990), Generalized Additive Models, New York: Chapman and Hall.
11. Henderson, C.R. (1984), Applications of Linear Models in Animal Breeding, Ontario, Canada: University of Guelph.
12. Johnson, M.E., Moore, L.M., and Ylvisaker, D. (1990), “Minimax and Maximin Distance Designs,” Journal of Statistical Planning and Inference, 26, 131-148.
13. Laslett, G.M. (1994), “Kriging and Splines: An Empirical Comparison of Their Predictive Performance in Some Applications,” Journal of the American Statistical Association, 89, 391-100.
14. Myers, R.H., and Montgomery, D.C. (1995), Response Surface Methodology, New York: John Wiley.
15. Nychka, D., Bailey, B., Ellner, S., Haaland, P., and O’Connell, M. (1997), “FUNFITS Data Analysis and Statistical Tools for Estimating Functions,” North Carolina State University, Institute of Statistics Mimeo Series.
16. O’Connell, M., Haaland, P., Hardy, S., and Nychka, D. (1995), “Nonparametric Regression, Kriging and Process Optimization,” in Statistical Modeling, Lecture Notes in Statistics, vol. 104, New York: Springer-Verlag.
17. Sacks, J., Welch, W.J., Mitchell, T.J., and Wynn, H.P. (1989), “Design and Analysis of Computer Experiments,” Statistical Science, 4, 409-435.
18. SAS Institute, Inc. (1995), SAS QC Software: Usage and Reference, Version 6, 1st ed., vol. 1, Cary, NC: author.
19. SAS Institute, Inc (1996), SAS/STAT Software: Changes and Enhancements through Release 6.11, Cary, NC: author.
20. Spargo, C.A., Haaland, P.D., Jurgensen, S.R., Shank, D.D., Walker, G.T. (1993), “Chemiluminescent Detec -tion of Strand Displacement Amplified DNA From Species Comprising the Mycobacterium tuberculosis Complex,” Molecular and Cellular Probes, 7, 395-104.
21. Venables, W.N., and Ripley, B.D. (1995), Modern Applied Statistics with S-PLUS, New York: Springer-Verlag.
22. Wahba, G. (1990a), Spline Models for Observational Data, Philadelphia, PA: Society for Industrial Applied Mathematics.
23. Wahba, G. (1990b), comment on “Geostatistics for Spatial Data,” by N. Cressie, with reply, The American Statistician, 44, 255-258.
24. Walker, G.T., Fraiser, M.S., Schram, J.L., Little, M.C., Nadeau, J.G., Malinowski, D.P. (1992), “Strand Displacement Amplification-An Isothermal, in vitro DNA Amplification Technique,” Nucleic Acids Research, 20, 1691-1696.
25. Watson, G.S. (1984), “Smoothing and Interpolation by Kriging and with Splines,” Mathematical Geology, 16, 601-615.
26. Wolfinger, R.D., Tobias, R.D., and Sail, J. (1994), “Computing Gaussian Likelihoods and their Derivatives for General Linear Mixed Models,” SIAM Journal on Scientific Computing, 15, 1294-1310.
27. Zimmerman, D.L., and Harville, D.A. (1991), “A Random Field Approach to the Analysis of Field-Plot Experiments and Other Spatial Experiments,” Biometrics, 47, 223-239.