Confidence intervals for the difference of two proportions estimated from pooled samples

Journal of Agricultural, Biological, and Environmental Statistics

Volumn 13, Issue 4, 2008, Pages 478-496

  Biggerstaff, Brad J ^a  

^a NATIONAL CENTER FOR EMERGING AND ZOONOTIC INFECTIOUS DISEASES   (United States)

Author keywords

Binomial; Group testing; Profile likelihood; Profile score; Score; West Nile virus

Indexed keywords

CONFIDENCE INTERVAL; CORRECTION; DISEASE PREVALENCE; ESTIMATION METHOD; PROBABILITY; SKEWNESS; VIRUS;

LOUISIANA; UNITED STATES;

WEST NILE VIRUS;

EID: 49249126556     PISSN: 10857117     EISSN: 15372693     Source Type: Journal    
DOI: 10.1198/108571108X379055     Document Type: Article

References (22)

1. Barndorff-Nielsen, O., and Cox, D. (1994), Inference and Asymptotics, London: Chapman & Hall.
2. Bartlett, M. S. (1953a), "Approximate Confidence Intervals," Biometrika, 40, 12-19.
3. Bartlett, M. S. (1953b), "Approximate Confidence Intervals: II. More Than one Unknown Parameter," Biometrika, 40, 306-317.
4. Bartlett, M. S. (1955), "Approximate Confidence Intervals: III. A Bias Correction," Biometrika, 42, 201-204.
5. 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.
6. 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.
7. Davison, A., and Hinkley, D. (1997), Bootstrap Methods and Their Application, Cambridge, UK: Cambridge University Press.
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. Gart, J. J. (1991), "An Application of Score Methodology: Confidence Intervals and Tests of Fit for One-Hit Curves," in Handbook of Statistics, volume 8, Amsterdam: Elsevier Science Publishers, pp. 395-406.
11. Gart, J. J., and Nam, J.-M. (1990), "Approximate Interval Estimation of the Difference in Binomial Parameters: Correction for Skewness and Extension to Multiple Tables," Biometrics, 46, 637-643.
12. Godsey, M., King, R., Burkhalter, K., Colton, L., Sutherland, G., Charnetzky, D., Ezenwa, V., Coffee, M., Milheim, L., Delorey, M., Palmisano, C., Wesson, D., Taylor, V., and Guptill, S. (2008), "Ecology of Potential Vectors of West Nile Virus, Southeastern Louisiana," Emerging Infectious Diseases, in preparation.
13. Hauck, W. W. (1991), "Confidence Intervals for Seroprevalence Determined from Pooled Sera," Annals of Epidemiology, 1, 277-281.
14. Hepworth, G. (1996), "Exact Confidence Intervals for Proportions Estimated by Group Testing," Biometrics, 52, 1134-1146.
15. Hepworth, G. (1999), Estimation of Proportions by Group Testing, PhD thesis, The University of Melbourne.
16. Hepworth, G. (2005), "Confidence Intervals for Proportions Estimated by Group Testing with Groups of Unequal Size," Journal of Agricultural, Biological, and Environmental Statistics, 10, 478-497.
17. McCann, M. H., and Tebbs, J. M. (2007), "Pairwise Comparisons for Proportions Estimated by Pooled Testing," Journal of Statistical Planning and Inference, 137, 1278-1290.
18. Newcombe, R. G. (1998), "Interval Estimation for the Difference Between Independent Proportions: Comparison of Eleven Methods," Statistics in Medicine, 17, 873-890.
19. Sobel, M., and Elashoff, R. M. (1975), "Group Testing with a New Goal, Estimation," Biometrika, 62, 181-193.
20. Tu, X. M., Litvak, E., and Pagano, M. (1995), "On the Informativeness and Accuracy of Pooled Testing in Estimating Prevalence of a Rare Disease: Application to HIV Screening," Biometrika, 82, 287-297.
21. Walter, S. D., Hildreth, S. W., and Beaty, B. J. (1980), "Estimation of Infection Rates in Population of Organisms using Pools of Variable Size," American Joural of Epidemiology, 112, 124-128.
22. Wilson, E. B. (1927), "Probable Inference, the Law of Succession, and Statistical Inference," Journal of the American Statistical Association, 22, 209-212.