Simple and effective confidence intervals for proportions and differences of proportions result from adding two successes and two failures

American Statistician

Volumn 54, Issue 4, 2000, Pages 280-288

  Agresti, Alan ^a   Caffo, Brian ^a  

^a University of Florida ^*  (United States)

Author keywords

Binomial distribution; Score test; Small sample; Wald test

Indexed keywords

EID: 0034554907     PISSN: 00031305     EISSN: None     Source Type: Journal    
DOI: 10.1080/00031305.2000.10474560     Document Type: Article

References (15)

1. Agresti, A., and Coull, B. A. (1998), "Approximate is Better than 'Exact' for Interval Estimation of Binomial Proportions," The American Statistician, 52, 119-126.
2. Berry, D. A. (1996), Statistics: A Bayesian Perspective, Belmont, CA: Wadsworth.
3. Brown, L. D., Cai, T. T., and DasGupta, A. (1999), "Confidence Intervals for a Binomial Proportion and Edgeworth Expansions," technical report 99-18, Purdue University, Statistics Department.
4. Carlin, B. P., and Louis, T. A. (1996), Bayes and Empirical Bayes Methods for Data Analysis, London: Chapman and Hall.
5. Chan, I. S. F., and Zhang, Z. (1999), "Test-Based Exact Confidence Intervals for the Difference of Two Binomial Proportions," Biometrics, 55, 1202-1209.
6. Fleiss, J. L. (1981), Statistical Methods for Rates and Proportions (2nd ed.), New York: Wiley.
7. Ghosh, B. K. (1979), "A Comparison of Some Approximate Confidence Intervals for the Binomial Parameter," Journal of the American Statistical Association, 74, 894-900.
8. Leemis, L. M., and Trivedi, K. S. (1996), "A Comparison of Approximate Interval Estimators for the Bernoulli Parameter," The American Statistician, 50, 63-68.
9. McClave, J. T., and Sincich, T. (2000), Statistics (8th ed.), Englewood Cliffs, NJ: Prentice Hall.
10. Mee, R. W. (1984), "Confidence Bounds for the Difference Between Two Probabilities," Biometrics, 40, 1175-1176.
11. Newcombe, R. (1998a), "Two-Sided Confidence Intervals for the Single Proportion: Comparison of Seven Methods," Statistics in Medicine, 17, 857-872.
12. _ (1998b), "Interval Estimation for the Difference Between Independent Proportions: Comparison of Eleven Methods," Statistics in Medicine, 17, 873-890.
13. Samuels, M. L., and Witmer, J. W. (1999), Statistics for the Life Sciences (2nd ed.), Englewood Cliffs, NJ: Prentice Hall.
14. Vollset, S. E. (1993), "Confidence Intervals for a Binomial Proportion," Statistics in Medicine, 12, 809-824.
15. Wilson, E. B. (1927), "Probable Inference, the Law of Succession, and Statistical Inference," Journal of the American Statistical Association, 22, 209-212.