Optimal designs for both model discrimination and parameter estimation

Journal of Statistical Planning and Inference

Volumn 139, Issue 12, 2009, Pages 4123-4132

  Tommasi, C ^a  

^a NONE   (Italy)

Author keywords

Compound criteria; Ds optimality; KL optimality; T optimality

Indexed keywords

EID: 69249221278     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2009.05.042     Document Type: Article

References (29)

1. Atkinson A.C. DT-optimum designs for model discrimination and parameter estimation. Journal of Statistical Planning and Inference 1 (2008) 56-64
2. Atkinson A.C., and Donev A.N. Optimum Experimental Design (1992), Oxford University Press, Oxford
3. Atkinson A.C., and Fedorov V.V. The designs of experiments for discriminating between two rival models. Biometrika 62 (1975) 57-70
4. Biswas A., and Chaudhuri P. An efficient design for model discrimination and parameter estimation. Biometrika 89 (2002) 709-718
5. Borth D.M. A total entropy criterion for the dual problem of model discrimination and parameter estimation. Journal of the Royal Statistical Society B 37 (1975) 77-87
6. 1-optimality criterion in polynomial regression. Journal of Statistical Planning and Inference 35 (1993) 233-249
7. 1-optimal designs for polynomial regression. Annals of Statistics 28 (2000) 1702-1727
8. 1-efficiencies. Annals of Statistics 29 (2001) 1024-1049
9. Dette H., and Kwiecien R. A comparison of sequential and non-sequential designs for discrimination between nested models. Biometrika 91 (2004) 165-176
10. Dette H., Melas V.B., and Wong W.K. Optimal designs for goodness-of-fit of the Michaelis-Menten enzyme kinetic function. Journal of the American Statistical Association 472 (2005) 1370-1381
11. Dette H., Melas V.B., and Strigul N. Design of experiments for the Monod model-robust and efficient designs. Journal of Theoretical Biology 234 (2005) 537-550
12. Dette H., and Pepelysheff A. Efficient experimental designs for sigmoidal growth models. Journal of Statistical Planning and Inference 138 1 (2008) 2-17
13. Dette, H., Titoff, S., 2009. Optimal discrimination designs. Annals of Statistics, in press.
14. Dette H., and Wong W.K. Optimal designs when the variance is a function of the mean. Statistics & Probability Letters 44 4 (1999) 405-408
15. Dunn G. Optimal designs for drug, neurotransmitter and hormone receptor assays. Statistics in Medicine 7 (1988) 805-815
16. Fedorov V.V. Theory of Optimum Experiments (1972), Academic Press, New York
17. Gottschalk P.G., and Dunn J.R. The five-parameter logistic: a characterization and comparison with the four-parameter logistic. Analytical Biochemistry 343 (2005) 54-65
18. Hill W.J., Hunter W.G., and Wichern W.D. A joint design criterion for the dual problem of model discrimination and parameter estimation. Technometrics 10 (1968) 145-160
19. López-Fidalgo J., Tommasi C., and Trandafir P.C. An optimal experimental design criterion for discriminating between non-normal models. Journal of the Royal Statistical Society B 69 (2007) 231-242
20. López-Fidalgo J., and Wong W.K. Design issue for the Michaelis-Menten Model. Journal of Theoretical Biology 215 (2002) 1-11
21. Otsu T. Optimal experimental design criterion for discriminating semiparametric models. Journal of Statistical Planning and Inference 138 (2008) 4141-4150
22. Pazman A. Foundations of Optimum Experimental Design (1986), Reidel, Dordrecht
23. Silvey S.D. Optimal Design (1980), Chapman & Hall, London
24. Tommasi C. Optimal designs for discriminating among several non-normal models. In: López-Fidalgo J., Rodríguez-Díaz J.M., and Torsney B. (Eds). mODa 8-Advances in Model-Oriented Design and Analysis (2007), Physica 213-220
25. Tsai M., and Zen M. Criterion-robust optimal designs for model discrimination and parameter estimation: multivariate polynomial regression case. Statistica Sinica 14 2 (2004) 591-601
26. Waterhouse T.H., Eccleston J.A., and Duffull S.B. On optimal design for discrimination and estimation. In: Antoch J. (Ed). COMPSTAT 2004: Proceedings in Computational Statistics (2004), Physica 1963-1970
27. Waterhouse T.H., Woods D.C., Eccleston J.A., and Lewis S.M. Design selection criteria for discrimination/estimation for nested models and a binomial response. Journal of Statistical Planning and Inference 138 (2008) 132-144
28. Wiens, D.P., 2009. Robust discrimination designs. Journal of the Royal Statistical Society B, in press.
29. Zen M., and Tsai M. Criterion-robust optimal designs for model discrimination and parameter estimation in Fourier regression models. Journal of Statistical Planning and Inference 124 2 (2004) 475-487