Bayesian D-optimal supersaturated designs

Journal of Statistical Planning and Inference

Volumn 138, Issue 1, 2008, Pages 86-92

  Jones, Bradley ^a   Lin, Dennis K J ^b   Nachtsheim, Christopher J ^c  

^a SAS INSTITUTE INC   (United States)

^b PENNSYLVANIA STATE UNIVERSITY   (United States)

^c UNIVERSITY OF MINNESOTA   (United States)

Author keywords

Blocking; Exchange algorithm; Model robust designs; Ridge regression; Screening designs

Indexed keywords

EID: 34548850048     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2007.05.021     Document Type: Article

References (23)

1. Booth K.H.V., and Cox D.R. Some systematic supersaturated designs. Technometrics 4 (1962) 489-495
2. Chaloner K., and Verdinelli I. Bayesian experimental design: a review. Statist. Sci. 10 (1995) 273-304
3. Chen J., and Lin D.K.J. On identifiability of supersaturated designs. J. Statist. Plann. Inference 72 (1998) 99-107
4. Cheng C.S., Steinberg D.M., and Sun D.X. Minimum aberration and model robustness for two-level fractional factorial designs. J. Roy. Statist. Soc. Ser. B 61 (1999) 85-93
5. Cook R.D., and Nachtsheim C.J. Model robust, linear-optimal designs. Technometrics 24 (1982) 49-54
6. DuMouchel W., and Jones B. A simple Bayesian modification of D-optimal designs to reduce dependence on an assumed model. Technometrics 36 (1994) 37-47
7. Fang K.T., Lin D.K.J., and Ma C.X. On the construction of multi-level supersaturated designs. J. Statist. Plann. Inference 86 (2000) 239-252
8. Läuter E. Experimental planning in a class of models. Math. Operationsforschung Statist. 5 (1974) 673-708
9. Läuter E. Optimal multipurpose designs for regression models. Math. Operationsforschung Statist. 7 (1976) 51-68
10. Li W., and Nachtsheim C.J. Model-robust factorial designs. Technometrics 42 (2000) 345-352
11. Li W., and Wu C.F.J. Columnwise-pairwise algorithms with applications to the construction of supersaturated designs. Technometrics 39 (1997) 171-179
12. Lin, D.K.J., 1991. Systematic supersaturated designs. Technical Report No. 263, College of Business Administration, University of Tennessee.
13. Lin D.K.J. A new class of supersaturated designs. Technometrics 35 (1993) 28-31
14. Lin D.K.J. Generating systematic supersaturated designs. Technometrics 37 (1995) 213-225
15. Lin D.K.J. Supersaturated Designs. In: Kotz S. (Ed). Encyclopedia of Statistical Science (1999), Wiley, New York 727-731
16. Lin D.K.J. Supersaturated Designs: Theory and Applications. In: Park S.H., and Vining G.G. (Eds). Statistical Process Monitoring and Optimization (2000), Marcel Dekker, New York
17. Lindley D.V. On the measure of information provided by an experiment. Ann. Statist. 27 (1956) 986-1005
18. Meyer R.K., and Nachtsheim C.J. The coordinate-exchange algorithm for constructing exact optimal experimental designs. Technometrics 37 (1995) 60-69
19. Nguyen N.K. An algorithm approach to constructing supersaturated designs. Technometrics 38 (1996) 69-73
20. Plackett R.L., and Burman J.P. The design of optimum multifactorial experiments. Biometrika 33 (1946) 303-325
21. Ponce De Leon A.C., and Atkinson A.C. Optimum experimental design for discriminating between two rival models in presence of prior information. Biometrika 78 (1991) 601-608
22. Satterthwaite F. Random balance experimentation. Technometrics 1 (1959) 111-137 (with discussion)
23. Spezzaferri F. Nonsequential Designs for Model Discrimination and Parameter Estimation. Bayesian Statistics (1988), Oxford University Press, Oxford 777-783