Exact confidence intervals for proportions estimated by group testing

Biometrics

Volumn 52, Issue 3, 1996, Pages 1134-1146

  Hepworth, Graham ^a,b  

^a AGRICULTURE VICTORIA RESEARCH   (Australia)

^b UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Exact confidence interval; Group testing; Maximum likelihood estimation; Proportion infected; Sequential procedure; Sterne interval

Indexed keywords

FINANCIAL DATA PROCESSING; VIRUSES;

DIFFERENT SIZES; EXACT CONFIDENCE INTERVAL; GROUP TESTING; MAXIMUM-LIKELIHOOD ESTIMATE; MAXIMUM-LIKELIHOOD ESTIMATION; PLANT DISEASE; PROPORTION INFECTED; SEQUENTIAL PROCEDURES; SEQUENTIAL TESTING; STERNE INTERVAL;

MAXIMUM LIKELIHOOD ESTIMATION;

AGRICULTURE; ALGORITHM; ARTICLE; AUSTRALIA; ENZYME LINKED IMMUNOSORBENT ASSAY; MAXIMUM LIKELIHOOD METHOD; PLANT VIRUS; POPULATION; PROBABILITY; STATISTICS;

EID: 0029834615     PISSN: 0006341X     EISSN: None     Source Type: Journal    
DOI: 10.2307/2533075     Document Type: Article

References (29)

1. Bhattacharyya, G. K., Karandinos, M. G., and DeFoliart, G. R. (1979). Point estimates and confidence intervals for infection rates using pooled organisms in epidemiologic studies. American Journal of Epidermology 109, 124-131.
2. Burrows, P. M. (1987). Improved estimation of pathogen transmission rates by group testing. Phytopathology 77, 363-365.
3. Chen, C. L. and Swallow, W. H. (1990), Using group testing to estimate a proportion, and to test the binomial model. Biometrics 46, 1035-1046.
4. Chiang, C. L. and Reeves, W. C. (1962). Statistical estimation of virus infection rates in mosquito vector populations. American Journal of Hygiene 75, 377-391.
5. Clopper, C. J. and Pearson, E. S. (1934). The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika 26, 404.
6. Cox, D. R. and Hinkley, D. V. (1974). Theoretical Statistics. London: Chapman and Hall.
7. Crow, E. L. (1956). Confidence intervals for a proportion. Btometrika 43, 423-435.
8. Dorfman, R. (1943). The detection of defective members of large populations. Annals of Mathematical Statistics 14:, 436-440.
9. Farrington, C. P. (1992). Estimating prevalence by group testing using generalized linear models. Statistics in Medicine 11, 1591-1597.
10. Gibbs, A. J. and Gower, J. C. (1960). The use of a multiple-transfer method in plant virus transmission studies-Some statistical points arising in the analysis of results. Annals of Applied Biology 48, 75-83.
11. Hughes-Oliver, J. M. and Swallow, W. H. (1994). A two-stage adaptive group-testing procedure for estimating small proportions. Journal of the American Statistical Association 89, 982-993.
12. Lancaster, H. O. (1961). Significance tests in discrete distributions. Journal of the American Statistical Association 56, 223-234.
13. Le, C. T. (1981). A new estimator for infection rates using pools of variable size. American Journal of Epidemiology 114, 132-136.
14. Loyer, M. W. (1983). Bad probability, good statistics, and group testing for binomial estimation. The American Statistician 37, 57-59.
15. Loyer, M. W. and Hamilton, M. A. (1984). Interval estimation of the density of organisms using a serial-dilution experiment. Biometrics 40, 907-916.
16. Newcombe, R. G. (1992). Unconditional confidence interval methods for the difference between binomial proportions based on paired data. In Proceedings of the XVIth International Biometric Conference, p. 45. Hamilton, New Zealand: Ruakura Agricultural Centre.
17. Plackett, R. L. (1984). Discussion of Yates, F. Tests of significance for 2 × 2 contingency tables. Journal of the Royal Statistical Society, Series A 147, 426-463.
18. Ridout, M. S. (1994). A comparison of confidence interval methods for dilution series experiments. Biometrics 50, 289-296.
19. Ridout, M. S. (1995). Three-stage designs for seed testing experiments. Applied Statistics 44, 153-162.
20. Rodoni, B. C., Hepworth, G., Richardson, C., and Moran, J. R. (1994). The use of a sequential batch testing procedure and ELISA to determine the incidence of five viruses in Victorian cut-flower Sim carnations. Australian Journal of Agricultural Research 45, 223-230.
21. Romanow, L, R., Moyer, J. W., and Kennedy, G. G. (1986). Alteration of efficiencies of acquisition and inoculation of Watermelon Virus 2 by plant resistance to the virus and to an aphid vector. Phytopathology 76, 1276-1281.
22. Sobel, M. and Elashoff, R. M. (1975). Group testing with a new goal, estimation. Bzometrika 62, 181-193.
23. Sterne, T. E. (1954). Some remarks on confidence or fiducial limits. Biometrika 41, 275-278.
24. Swallow, W. H. (1985). Group testing for estimating infection rates and probabilities of disease transmission. Phytopathology 75, 882-889.
25. Swallow, W. H. (1987). Relative mean squared error and cost considerations in choosing group size for group testing to estimate infection rates and probabilities of disease transmission. Phytopathology 77, 1376-1381.
26. Thompson, K. H. (1962). Estimation of the proportion of vectors in a natural population of insects. Biometrics 18, 568-578.
27. Walter, S. D., Hildreth, S. W., and Beaty, B. J. (1980). Estimation of infection rates in population rates in populations of organisms using pools of variable size. American Journal of Epidemiology 112, 124-128.
28. Williams, D. A. (1988). Tests for differences between several small proportions. Applied Statistics 37, 421-434.
29. Woodward, R. L. (1957). How probable is the most probable number? Journal of the American Water Works Association 49, 1060-1068.