Bayesian experimental design for multiple hypothesis testing

Journal of the American Statistical Association

Volumn 91, Issue 433, 1996, Pages 185-190

  Toman, Blaza ^a  

^a GEORGE WASHINGTON UNIVERSITY   (United States)

Author keywords

Admissibility; Bayes optimality; Constrained optimization; Linear model; Normal prior

Indexed keywords

EID: 0043287481     PISSN: 01621459     EISSN: 1537274X     Source Type: Journal    
DOI: 10.1080/01621459.1996.10476675     Document Type: Article

References (18)

1. Berger, J. (1985), Statistical Decision Theory and Bayesian Analysis (2nd ed.), New York: Springer-Verlag.
2. Chaloner, K. (1982), “Optimal Bayesian Experimental Design for Linear Models,” Technical Report 238, Camegie-Mellon University, Dept, of Statistics.
3. Chaloner, K. (1984), “Optimal Bayesian Experimental Designs for Linear Models,” The Annals of Statistics, 12, 283-300.
4. Clyde, M. (1993), “Bayesian Optimal Designs for Approximate Normality,” Ph.D. thesis, University of Minnesota, School of Statistics.
5. Cook, R. D., and Wong, W. K. (1994), “On the Equivalence of Constrained and Compound Optimal Designs,” The Journal of the American Statis-tical Association, 89, 687-696.
6. DeGroot, M. (1970), Optimal Statistical Decisions, New York: McGraw- Hill.
7. Duncan, G. (1965), “A Bayesian Approach to Multiple Comparisons,” Technometrics, 1, 171-216.
8. Duncan, G., and DeGroot, M. H. (1976), “A Mean Squared Error Approach to Optimal Design Theory,” in Proceedings of the 1976 Conference on Information. Sciences and Systems, The Johns Hopkins University, pp. 217-221.
9. El-Krunz, S., and Studden, W. J. (1991), “Bayesian Optimal Designs for Linear Regression Models,” The Annals of Statistics, 19, 2183-2208.
10. Hwang, C., and Yoon, K. (1981), Multiple Attribute Decision Making, New York: Springer-Verlag.
11. Kiefer, J. (1959), “Optimum Experimental Designs,” Journal of the Royal Statistical Society, 21, 272-319.
12. Lee, C. M. S. (1988), “Constrained Optimal Designs,” Journal of Statistical Planning and Inference, 18, 377-389.
13. Lehman, E. L. (1957), “A Theory of Some Multiple Decision Problems,” The Annals of Mathematical Statistics, 28, 1-25.
14. Malec, D. J. (1995), “Multiple-Objective Fixed-Cost Sample Design Using an Admissibility Criterion,” Journal of Statistical Planning and Infer-ence, 48, 229-240.
15. Owen, R. J. (1970), “The Optimum Design of a Two-Factor Experiment Using Prior Information,” The Annals of Mathematical Statistics, 41, 1917-1934.
16. Pilz, J. (1983), Bayesian Estimation and Experimental Design in Linear Regression, Teubner-Texte zur Mathematik, Leipzig: Teubner-Verlag.
17. Ponstein, J. (1967), “Seven Kinds of Convexity,” SIAM Review, 9,115-119.
18. Silvey, S. D. (1980), Optimal Design, London: Chapman and Hall.