D-optimal designs for Poisson regression models

Journal of Statistical Planning and Inference

Volumn 136, Issue 8, 2006, Pages 2831-2845

  Wang, Yanping ^a   Myers, Raymond H ^b   Smith, Eric P ^b   Ye, Keying ^b  

^a ELI LILLY AND COMPANY   (United States)

^b VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY   (United States)

Author keywords

Antagonism; D optimality; Experimental design; Poisson regression model; Synergism; Toxicity tests

Indexed keywords

EID: 33645940616     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2004.10.017     Document Type: Article

References (18)

1. Atkinson A.C., and Donev A.N. Optimum Experimental Designs (1992), Oxford University Press, Oxford
2. Brunden M.N., Vidmar T.J., and McKean J.W. Drug Interaction and Lethality Analysis (1988), CRC Press, Boca Raton, FL
3. Chernoff H. Locally optimal designs for estimating parameters. Ann. Math. Statist. 24 (1953) 586-602
4. Chiachierrini, L.M., 1996. Experimental Design Issues in Impaired Reproduction Studies. Ph.D. Thesis, Virginia Tech.
5. Chaloner K., and Larntz K. Optimal Bayesian design applied to logistic regression experiments. J. Statist. Plann. Inference 21 (1989) 191-208
6. Kalish, L.A., Rosenberger, J.L., 1978. Optimal design for the estimations of the logistic function. Technical Report, vol. 33, Department of Statistics, Pennsylvania State University.
7. Minkin S. Optimal designs for binary data. J. Amer. Statist. Assoc. 82 (1987) 1098-1103
8. Minkin S. A statistical model for in-vitro assessment of patient sensitivity to cytotoxic drugs. Biometrics 47 (1991) 1581-1591
9. Minkin S. Experimental design for clonogenic assays in chemotherapy. J. Amer. Statist. Assoc. 88 (1993) 410-420
10. Myers W.R., Myers R.H., and Carter Jr. W.H. Some alphabetic optimal designs for the logistic regression model. J. Statist. Plann. Inference 42 (1994) 57-77
11. Myers W.R., Myers R.H., Carter Jr. W.H., and White K.L. Two-stage designs for the logistic regression model in a single agent bioassay. J. Biopharm. Statist. 6 (1996) 283-301
12. Nelder J.A., and Mead R. A simplex method for function minimization. Comput. J. 7 (1965) 308-313
13. Oris J.T., and Bailer A.J. Statistical analysis of the Ceriodaphnia toxicity test. sample size determination for reproductive effects. Environ. Toxicol. Chem. 12 (1993) 85-90
14. Silvey D. Optimal Design (1980), Chapman and Hall, London
15. Sitter R.R. Robust designs for binary data. Biometrics 48 (1992) 1145-1155
16. Sitter R.R., and Wu C.F.J. Two-stage design of quantal response studies. Biometrics 55 (1999) 396-402
17. van Mullekom, J., Myers, R.H., 2001. Optimal experimental designs for Poisson impaired reproduction. Technical Report, vol. 01-1, Department of Statistics, Virginia Tech.
18. Wang, Y., 2002. Optimal experimental designs for the Poisson regression model in toxicity studies. Ph.D. Thesis, Virginia Tech.