Optimal two-point designs for the Michaelis-Menten model with heteroscedastic errors

Communications in Statistics - Theory and Methods

Volumn 27, Issue 6, 1998, Pages 1503-1516

  Song, Dale ^a   Wong, Weng Kee ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

Bayesian D optimal designs; Continuous design; Heteroscedasticity; Receptor assays

Indexed keywords

EID: 0039825892     PISSN: 03610926     EISSN: None     Source Type: Journal    
DOI: 10.1080/03610929808832173     Document Type: Article

References (14)

1. Chernoff, H. (1953), Locally Optimal Designs for Estimating Parameters. Ann. Math. Statist 24, 586-602.
2. Cook, R. D. and Wong, W. K. (1994), On the equivalence of constrained and compound optimal designs, Journal of the American Statistical Association 89, 687-692.
3. Cressie, N. A. C. and Kightley, D. D. (1981), Analyzing data from hormone-receptor assays, Biometrics 37, 235-249.
4. Currie, D. J. (1982), Estimating Michaelis-Menten Parameters: bias, variance and experimental design, Biometrics 38, 907-919.
5. Dette, H. and Wong, W. K. (1996), Optimal Bayesian designs for models with partially specified heteroscedastic structure, The Annals of Statistics 24, 2108-2147.
6. Duggleby, R. G. (1979), Experimental designs for estimating the Kinetic parameters for Enzyme-Catalysed Reactions, Journal of Theoretical Biology 81, 671-684.
7. Dunn, G. (1988), Optimal designs for drug, neurotransmitter and hormone receptor assays, Statistics in Medicine 7, 805-815.
8. Fedorov, V. V. (1972), Theory of optimal experiments. New York, Academic Press.
9. He, Z., Studden, W. J. and Sun, D. (1996), Optimal designs for rational models, The Annals of Statistics 24. 2108-2147.
10. Hill, P. D. H. (1980), D-optimal Designs for Partially Nonlinear Regression Models, Technometrics 22, 275-276.
11. Huang, Y. C. and Wong, W. K. (1997), Sequential construction of multiple-objective optimal designs, Biometrics, in press.
12. Kiefer, J. (1959), Optimum experimental designs, Journal of the Royal Statistical Society, Ser. B, 21, 272-319.
13. Silvey, S.D (1980), Optimal design, Chapman and Hall, London and New York.
14. Wong, W. K. (1995), A Graphical Approach for Constructing Constrained D and L-Optimal Designs Using Efficiency Plots, Journal of Statistical Simulation and Computation 53, 143-152.