Bayesian models for limiting dilution assay and group test data

Biometrics

Volumn 52, Issue 3, 1996, Pages 1055-1062

  Chick, Stephen E ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

Bayesian analysis; Binomial proportion; Confidence intervals; Exact central credible sets; Group testing; Limiting dilution assay; Pooling

Indexed keywords

BAYESIAN NETWORKS; DILUTION; GENE TRANSFER; GENES; POPULATION STATISTICS; STATISTICAL TESTS;

BAYESIAN ANALYSIS; BAYESIAN MODELLING; BINOMIAL PROPORTION; CONFIDENCE INTERVAL; EXACT CENTRAL CREDIBLE SET; GROUP TESTING; LIMITING DILUTION ASSAY; POOLING; PROBABILITY DENSITIES; TEST DATA;

ASSAYS;

ANIMAL CELL; ARTICLE; BAYES THEOREM; CONTROLLED STUDY; CYTOTOXIC T LYMPHOCYTE; DILUTION; GENE TRANSFER; IMMUNOCOMPETENCE; MOUSE; NONHUMAN; PROBABILITY; PROLYMPHOCYTE; SPLEEN LYMPHOCYTE; STATISTICS;

ANIMALIA;

EID: 0029814893     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2533066     Document Type: Article

References (23)

1. Beliaeff, B. and Mary. J. (1993). The 'most probable number' estimate and its confidence limits. Water Research 27, 799-805.
2. Bennett, J. H. (ed). (1990). Statistical Inference and Analysis: Selected Correspondence of R. A. Fisher. Oxford: Oxford Science Publications.
3. Berger, J. O. (1985). Statistical Decision Theory and Bayesian Analysis, 2nd edition. New York: Springer-Verlag.
4. Bhattacharyya, G. K., Karandinos, M. G., and Foliart, G. R. D. (1979). Point estimates and confidence intervals for infection rates using pooled organisms in epidemiologic studies. American Journal of Epidemiology 109, 124-131.
5. Box, G. E. P. and Tiao, G. C. (1973). Bayesian Inference in Statistical Analysis. New York: Wiley and Sons.
6. Cyr, L., Rust, P. F., Peters, J. R., Schmehl, M. K., and Bank, H. L. (1993). Confidence intervals for the relative frequency of responding cells in limiting dilution assays. Biometrics 49, 491-498.
7. de Man, J. (1977). MPN tables for more than one test. European Journal of Applied Microbiology 4, 307-316.
8. de St. Groth, S. F. (1982). The evaluation of limiting dilution assays. Journal of Immunological Methods 49, R11-R23.
9. Dorfman, R. (1943). The detection of defective members of a large population. Annals of Mathematical Statistics 14, 436-440.
10. Fisher, R. (1949). The Design of Experiments, 5th edition. Edinburgh: Oliver and Boyd.
11. Fontvieille, D. and Maul, A. (1985). Dénombrement et mesure d'activité des bactéries. In Point sur l'Épuration et le Traitement des Effluents. 2.2. Bactériologie des Milieux Aquatiques, G. Martin (ed), 79-131. Paris: Lavoisier.
12. Gastwirth, J. and Hammick, P. (1989). Estimation of the prevalence of rare disease preserving the anonymity of the subjects by group testing: Application to estimating the prevalence of AIDS antibodies in blood donors. Journal of Statistical Planning and Inference 22, 15-27.
13. Gastwirth, J. and Johnson, W. O. (1994). Screening with cost-effective quality control: Potential applications to HIV and drug testing. Journal of the American Statistical Association 89, 972-981.
14. Lefkovits, I. and Waldemann, H. (1979). Limiting Dilution Analysis of Cells in the Immune System. Cambridge: Cambridge University Press.
15. Lindley, D. V. (1972). Bayesian Statistics, A Review. Philadelphia: Society of Industrial and Applied Mathematics.
16. Prost, H. and Hugues, B. (1982). Dénombrement des microorganismes par la technique du nombre le plus probable (indice npp): emploi statistique de cet indice. All. Fals. Exp. Chim. 807, 185-207.
17. Savage, L. J. (1972). The Foundations of Statistics. New York: Dover Publications, Inc.
18. Sobel. M. and Elashoff, R. M. (1975). Group testing with a new goal, estimation. Biometrika 62(1), 181-194.
19. Strijbosch, L. W. G., Buurman, W. A., Does, R. J. M. M., Zinken, P. H., and Groenewegen, G. (1987). Limiting dilution assays: Experimental design and statistical analysis. Journal of Immunological Methods 97, 133-140.
20. Taswell, C. (1981). Limiting dilution assays for the determination of immunocompetent cell frequencies. Journal of Immunology 126, 1614-1619.
21. Vollset, S. E. (1993). Confidence intervals for a binomial proportion. Statistics in Medicine 12, 809-824.
22. Walter, S. D., Hildreth, S. W., and Beatty, B. J. (1980). Estimation of infection rates in populations of organisms using pools of variable size. American Journal of Epidemiology 112, 124-128.
23. Wolfram, S. (1991). Mathematica: A System for Doing Mathematics by Computer, 2nd edition. Redwood City, California: Addison-Wesley.