Algorithms for finding locally and Bayesian optimal designs for binary dose-response models with control mortality

Journal of Statistical Planning and Inference

Volumn 133, Issue 2, 2005, Pages 463-478

  Smith, Davis M ^a   Ridout, M S ^b  

^a MEDICAL COLLEGE OF GEORGIA   (United States)

^b UNIVERSITY OF KENT   (United Kingdom)

Author keywords

Abbott's formula; General equivalence theorem; Generalized linear models

Indexed keywords

EID: 18944403741     PISSN: 03783758     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jspi.2004.01.017     Document Type: Article

References (24)

1. W.S. Abbott A method of computing the effectiveness of an insecticide J. Econom. Entomol. 18 1925 265-267
2. J. Aitchison S.M. Shen Logistic-normal distributions: Some properties and uses Biometrika 67 1980 261-272
3. A.C. Atkinson Some topics in optimum experimental design for generalized linear models in: G.U.H. Seeber B.J. Francis R. Hatzinger G. Steckel-Berger (Eds.), Statistical Modelling, Lecture Notes in Statistics, Vol. 104 1995 Springer New York 11-18
4. A.C. Atkinson The Usefulness of Optimum Experimental Designs J. Roy. Statist. Soc. B 58 1996 59-76
5. A.C. Atkinson A.N. Donev Optimum Experimental Designs 1992 Oxford University Press Oxford
6. C.L. Atwood Optimal and efficient designs of experiments Ann. Math. Statist. 40 1969 1570-1602
7. J. Burridge P. Sebastiani D-optimal designs for generalised linear models with variance proportional to the square of the mean Biometrika 81 1994 295-304
8. K. Chaloner A note on optimal Bayesian design for nonlinear problems. applied to logistic regression experiments J. Statist. Plann. Inference 37 1993 229-235
9. K. Chaloner K. Larntz Software for logistic regression experiment design in: Y. Dodge V.V. Fedorov H.P. Wynn (Eds.), Optimal Design and Analysis of Experiments 1988 Elsevier Science Publishers B.V. North-Holland 207-211
10. K. Chaloner K. Larntz Optimal Bayesian design applied to logistic regression experiments J. Statist. Plann. Inference 21 1989 191-208
11. K. Chaloner I. Verdinelli Bayesian experimental design: A review Statist. Sci. 10 1995 273-304
12. G. Elfving Optimum allocation in linear regression theory Ann. Math. Statist. 23 1952 255-262
13. Fan, S., Chaloner, K., 1999. Geometric Methods for Singular C-Optimal Designs. Technical Report No. 629, University of Minnesota.
14. D. Firth J.P. Hinde On Bayesian D-optimum design criteria and the equivalence theorem in non-linear models J. Roy. Statist. Soc. B 59 1997 793-798
15. I. Ford B. Torsney C.F.J. Wu The use of a canonical form in the construction of locally optimal designs for non-linear problems J. Roy. Statist. Soc. B 54 1992 569-583
16. L.M. Haines A geometric approach to optimal design for one-parameter non-linear models J. Roy. Statist. Soc. B 57 1995 575-598
17. J.A. Hoekstra Acute bioassays with control mortality Water Air Soil Pollut. 35 1987 311-317
18. 2 mortality in mice J. Air Pollut. Control Assoc. 39 1979 133-137
19. B.J.T. Morgan Analysis of Quantal Response Data 1992 Chapman & Hall London
20. I. Perevozskaya W.F. Rosenberger L.M. Haines Optimal design for the proportional odds model Canad. J. Statist. 31 2003 225-235
21. H. Shore Simple approximations for the inverse cumulative function, the density function and the loss integral of the normal distribution Appl. Statist. 31 1982 108-114
22. R.R. Sitter C.F.J. Wu Optimal designs for binary response experiments: Fieller, D, and A Criteria Scand. J. Statist. 20 1993 329-341
23. D.M. Smith M.S. Ridout Locally and Bayesian optimal designs for binary dose-response models with various link functions in: R. Payne P. Green (Eds.), COMPSTAT98 1998 Physica - Verlag Wurzburg 455-460
24. C.F.J. Wu Optimal design for percentile estimation of a quantal response curve in: Y. Dodge V.V. Fedorov H.P. Wynn (Eds.), Optimal Design and Analysis of Experiments 1988 Elsevier Science Publishers B.V. North-Holland, Amsterdam 213-223