In defence of score intervals for proportions and their differences

Communications in Statistics - Theory and Methods

Volumn 40, Issue 7, 2011, Pages 1271-1282

  Newcombe, Robert G ^a   Nurminen, Markku M ^b  

^a CARDIFF UNIVERSITY   (United Kingdom)

^b UNIVERSITY OF HELSINKI   (Finland)

Author keywords

Confidence interval; Coverage; Exact; Proportion; Score

Indexed keywords

CONFIDENCE INTERVAL; COVERAGE; EXACT; PROPORTION; SCORE;

STATISTICS;

MATHEMATICAL TECHNIQUES;

EID: 79960350285     PISSN: 03610926     EISSN: 1532415X     Source Type: Journal    
DOI: 10.1080/03610920903576580     Document Type: Article

References (33)

1. Agresti, A. (2002). Categorical Data Analysis. 2nd ed. Hoboken, NJ: Wiley, Ch. 1.
2. Agresti, A., Coull, B. A. (1998). Approximate is better than "exact" for interval estimation of binomial proportions. Amer. Statistician 52:119-126.
3. Brown, L. D., Cai, T. T., DasGupta, A. (2001). Interval estimation for a binomial proportion. Statist. Sci. 16:101-117.
4. Comments by: Agresti, A., Coull, B. A., pp. 117-120;
5. Casella, G., pp. 120-122;
6. Corcoran, C., Mehta, C., pp. 122-124;
7. Ghosh, M., pp. 124-125;
8. Santner, T. J., pp. 126-128.
9. Rejoinder by Brown et al., pp. 126-123.
10. Cai, T. T. (2005). One-sided confidence intervals in discrete distributions. J. Statist. Plann. Infer. 131:63-88.
11. Clopper, C. J., Pearson, E. S. (1934). The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika 26:404-413.
12. Cox, D. R., Hinkley, D. V. (1974). Theoretical Statistics. London: Chapman and Hall.
13. Liu, G. F., Wang, J., Liu, K., Snavely, D. B. (2006). Confidence intervals for an exposure adjusted incidence rate difference with applications to clinical trials. Statist. Med. 25:1275-1286.
14. Mansel, R. E., Fallowfield, L., Kissin, M., Goyal, A., Newcombe, R. G., Dixon J. M., Yiangou, C., Horgan, K., Bundred, N., Monypenny, I., England, D., Sibbering, M., Abdullah, T. I., Barr, L., Chetty, U., Sinnett, D. H., Fleissig, A., Clarke, D., Ell, P. J. (2006). Randomized multicenter trial of sentinel node biopsy versus standard axillary treatment in operable breast cancer: the ALMANAC Trial. J. Nat. Cancer Instit. 98:599-609.
15. Mee, R. W. (1984). Confidence bounds for the difference between two probabilities. Biometrics 40:1175-1176.
16. Miettinen, O. S. (1985). Theoretical Epidemiology. Principles of Occurrence Research in Medicine. Part 2. Data Analysis. Albany, NY: Delmar Publishers Inc., pp. 120-121.
17. Miettinen, O., Nurminen, M. (1985). Comparative analysis of two rates. Statist. Med. 4:213-226.
18. Newcombe, R. G. (1998a). Two-sided confidence intervals for the single proportion: comparison of seven methods. Statist. Med. 17:857-872.
19. Newcombe, R. G. (1998b). Interval estimation for the difference between independent proportions: comparison of eleven methods. Statist. Med. 17:873-890.
20. Newcombe, R. G. (2003). Confidence intervals for the mean of a variable taking the values 0, 1, and 2. Statist. Med. 22:2737-2750.
21. Nurminen, M. (1984). Comparative analysis of two rates. some new approaches. Doctoral thesis in statistics, University of Helsinki, Helsinki.
22. Nurminen, M. (1986). Confidence intervals for the difference and ratio of two binomial proportions. Biometrics 42:675-676.
23. Nurminen, M. (1988). On pooled and stratified analysis of epidemiologic rates. Public Health Rev. 16:163-187.
24. Nurminen, M., Miettinen, O. (1990). Confidence intervals for the ratio of the parameters of two independent binomials. Biometrics 46:269-272.
25. Nurminen, M., Mutanen, P. (1987). Exact Bayesian analysis of two proportions. Scand. J. Statist. 14:67-77.
26. Nurminen, M., Nurminen, T. (1990). Accuracy of asymptotic interval estimation methods for comparing two risks. Biometr. J. 32:195-205.
27. Pires, A. M., Amado, C. (2008). Interval estimators for a binomial proportion: comparison of twenty methods. Rev. Statist. Statist. J. 6:165-197.
28. Pratt, J. W. (1961). Length of confidence intervals. J. Amer. Statist. Assoc. 56:549-567.
29. Santner, T. J., Pradhan, V., Senchaudhuri, P., Mehta, C. R., Tamhane, A. (2007). Small-sample comparisons of confidence intervals for the difference of two independent binomial proportions. Computat. Statist. Data Anal. 51:5791-5799.
30. StatExact®8. (2007). Statistical Software for Exact Nonparametric Inference. Users Manual. Equation 14.96, p. 405. Cambridge, MA: CYTEL Software Corporation.
31. Tango, T. (1998). Equivalence test and CI for the difference in proportions for the paired-sample design. Statist. Med. 17:891-908.
32. Vollset, S. E. (1993). Confidence intervals for a binomial proportion. Statist. Med. 12:809-824.
33. Wilson, E. B. (1927). Probable inference, the law of succession, and statistical inference. J. Amer. Statist. Assoc. 22:209-212.