Alternative criteria for optimal designs of limiting dilution assays

Statistics in Medicine

Volumn 17, Issue 23, 1998, Pages 2733-2746

  Matthews, J N S ^a  

^a NEWCASTLE UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ASSAY; BAYES THEOREM; DATA ANALYSIS; DILUTION; TECHNIQUE; VARIANCE;

EID: 0032534662     PISSN: 02776715     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1097-0258(19981215)17:23<2733::aid-sim39>3.0.co;2-%23     Document Type: Article

References (19)

1. Pickup, J. F., Jackson, M. J., Price, R. M., Healy, M. J. R. and Brown, S. S. 'Use of the reference method for determination of serum calcium in a quality-assurance survey', Clinical Chemistry, 21, 1416-1421 (1975).
2. Healy, M. J. R. and Kimber, A. C. 'Robust estimation of variability in radioligand assays', in Hunter, W. M. and Corrie, J. E. T. (eds.), Immunoassays for Clinical Chemistry, 2nd edn, Churchill Livingstone, Edinburgh, 1983, pp. 624-626.
3. Healy, M. J. R. 'A source of assay heterogeneity', Biometrics, 37, 834-835 (1982).
4. Healy, M. J. R. 'Statistical analysis of radioimmunoassay data', Biochemical Journal, 130, 207-210 (1972).
5. Healy, M. J. R. 'The planning of probit assays', Biometrics, 6, 424-431 (1950).
6. Atkinson, A. C. and Donev, A. N. Optimun Experimental Designs, Oxford University Press, Oxford, 1992.
7. Lindley, D. V. Bayesian Statistics - A Review, SIAM, Philadelphia, 1972.
8. Lindley, D. V. 'On a measure of the information in an experiment', Annals of Mathematical Statistics, 27, 986-1005 (1956).
9. Bernardo, J. M. 'Expected information as expected utility', Annals of Statistics, 7 686-690 (1979).
10. Chaloner, K. and Verdinelli, I. 'Bayesian experimental design: a review', Statistical Science, 10, 273-304 (1995).
11. Chaloner, K. and Larntz, K. 'Optimal Bayesian design applied to logistic regression experiments', Journal of Statistical Planning and Inference, 21, 191-208 (1989).
12. Ridout, M. S. 'Three-stage designs for seed testing experiments', Applied Statistics, 44, 153-162 (1995).
13. Strijbosch, L. W. G., Buurman, W. A., Does, R. J. M. M., Zinken, P. H. and Groenewegen, G. 'Limiting dilution assays: experimental design and statistical analysis', Journal of Immunological Methods, 97, 133-140 (1987).
14. Fisher, R. A. The Design of Experiments, 8th edn, Oliver and Boyd, Edinburgh, 1966.
15. Mehrabi, Y. and Matthews, J. N. S. 'Implementable Bayesian designs for limiting dilution assays', Biometrics, in press (1998).
16. Abdelbasit, K. M. and Plackett, R. L. 'Experimental design for binary data', Journal of the American Statistical Association, 78, 90-98 (1983).
17. Moore, M. Design of non-linear experiments, PhD thesis, University of London, 1986.
18. Numerical Algorithms Group. The NAG FORTRAN Library Mark 17, The Numerical Algorithms Group Ltd., Oxford, 1996.
19. Fang, K.-T. and Wang, Y. Number-theoretic Methods in Statistics, Chapman & Hall, London, 1994.