Debiased estimation of proportions in group testing

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 58, Issue 1, 2009, Pages 105-121

  Hepworth, Graham ^a   Watson, Ray ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Bias correction; Estimation of proportions; Group testing; Sequential procedure

Indexed keywords

EID: 58149157654     PISSN: 00359254     EISSN: 14679876     Source Type: Journal    
DOI: 10.1111/j.1467-9876.2008.00639.x     Document Type: Article

References (27)

1. Bhattacharyya, G. K., Karandinos, M. G. DeFoliart, G. R. (1979) Point estimates and confidence intervals for infection rates using pooled organisms in epidemiologic studies. Am. J. Epidem., 109, 124 131.
2. Bilder, C. R. Tebbs, J. M. (2005) Empirical Bayes estimation of the disease transmission probability in multiple-vector-transfer designs. Biometr. J., 47, 502 516.
3. Burrows, P. M. (1987) Improved estimation of pathogen transmission rates by group testing. Phytopathology, 77, 363 365.
4. Chaubey, Y. P. Li, W. (1993) Estimation of fraction defectives through batch sampling. Proc. Qual. Productvty Sect. Am. Statist. Ass., 198 206.
5. Chick, S. E. (1996) Bayesian models for limiting dilution assay and group test data. Biometrics, 52, 1055 1062.
6. Colon, L. T., Budding, D. J., Keizer, L. C. Pieters, M. J. (1995) Components of resistance to late blight Phytophthora infestans in eight South American Solanum species. Eur. J. Plant Pathol., 101, 441 456.
7. Cox, D. R. Hinkley, D. V. (1974) Theoretical Statistics. London : Chapman and Hall.
8. Dorfman, R. (1943) The detection of defective members of large populations. Ann. Math. Statist., 14, 436 440.
9. Eisenhart, C. Wilson, P. W. (1943) Statistical methods and control in bacteriology. Bacter. Rev., 7, 57 137.
10. Fletcher, J. D., Russell, A. C. Butler, R. C. (1999) Seed-borne cucumber mosaic virus in New Zealand lentil crops: yield effects and disease incidence. New Zeal. J. Crop Hort., 27, 197 204.
11. Gart, J. J. (1991) An application of score methodology: confidence intervals and tests of fit for one-hit curves. In Handbook of Statistics (eds C. R. Rao R. Chakraborty vol. 8, pp. 395 406. Amsterdam : Elsevier.
12. Gibbs, A. J. 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. Ann. Appl. Biol., 48, 75 83.
13. Hammick, P. A. Gastwirth, J. L. (1994) Group testing for sensitive characteristics: extension to higher prevalence levels. Int. Statist. Rev., 62, 319 331.
14. Hepworth, G. (1996) Exact confidence intervals for proportions estimated by group testing. Biometrics, 52, 1134 1146.
15. Hepworth, G. (2004) Mid-P confidence intervals based on the likelihood ratio for proportions estimated by group testing. Aust. New Zeal. J. Statist., 46, 391 405.
16. Hepworth, G. (2005) Confidence intervals for proportions estimated by group testing with groups of unequal size. J. Agric. Biol. Environ. Statist., 10, 478 497.
17. Hill, M. F., Giles, R. J., Moran, J. R. Hepworth, G. (1996) The incidence of chrysanthemum stunt viroid, chrysanthemum B carlavirus, tomato aspermy cucumovirus and tomato spotted wilt tospovirus in Australian chrysanthemum crops. Australas. Plant Pathol., 25, 174 178.
18. Hughes-Oliver, J. M. Swallow, W. H. (1994) A two-stage adaptive group-testing procedure for estimating small proportions. J. Am. Statist. Ass., 89, 982 993.
19. Kerr, J. D. (1971) The probability of disease transmission. Biometrics, 27, 219 222.
20. Lovison, G., Gore, S. D. Patil, G. P. (1994) Design and analysis of composite sampling procedures: a review. In Handbook of Statistics (eds G. P. Patil C. R. Rao vol. 12, pp. 103 166. Amsterdam : Elsevier.
21. Rodoni, B. C., Hepworth, G., Richardson, C. 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. Aust. J. Agric. Res., 45, 223 230.
22. Swallow, W. H. (1985) Group testing for estimating infection rates and probabilities of disease transmission. Phytopathology, 75, 882 889.
23. Tebbs, J. M. Bilder, C. R. (2004) Confidence interval procedures for the probability of disease transmission in multiple-vector-transfer designs. J. Agric. Biol. Environ. Statist., 9, 75 90.
24. Tebbs, J. M. Swallow, W. H. (2003) Estimated ordered binomial proportions with the use of group testing. Biometrika, 90, 471 477.
25. Thompson, K. H. (1962) Estimation of the proportion of vectors in a natural population of insects. Biometrics, 18, 568 578.
26. Tu, X. M., Litvak, E. Pagano, M. (1994) Screening tests: can we get more by doing less? Statist. Med., 13, 1905 1919.
27. Walter, S. D., Hildreth, S. W. Beaty, B. J. (1980) Estimation of infection rates in populations of organisms using pools of variable size. Am. J. Epidem., 112, 124 128.