380
Views
18
CrossRef citations to date
0
Altmetric
Original Articles

Generalised Clopper–Pearson confidence intervals for the binomial proportion

&
Pages 489-508 | Received 02 Mar 2004, Published online: 01 Feb 2007

References

  • Brown , D. B. , Cai , T. T. and DasGupta , A. 2001 . Interval estimation for a binomial proportion . Statistical Science , 16 : 101 – 133 . (with discussion)
  • Blyth , C. R. and Still , H. A. 1983 . Binomial confidence intervals . Journal of the American Statistical Association , 78 : 108 – 116 .
  • Casella , G. 1986 . Refining binomial confidence intervals . The Canadian Journal of Statistics , 14 : 113 – 129 .
  • Newcombe , R. G. 1998 . Two-sided confidence intervals for the single proportion: comparison of seven methods . Statistics in Medicine , 17 : 857 – 872 .
  • Agresti , A. and Coull , B. A. 1998 . Approximate is better than “exact” for interval estimation of binomial proportions . The American Statistician , 52 : 119 – 126 .
  • Blaker , H. 2000 . Confidence curves and improved exact confidence intervals for discrete distributions . The Canadian Journal of Statistics , 28 : 783 – 798 .
  • Blaker , H. 2001 . Corrigenda: confidence curves and improved exact confidence intervals for discrete distributions . The Canadian Journal of Statistics , 29 : 681
  • Agresti , A. and Min , Y. 2001 . On small-sample confidence intervals for parameters in discrete distributions . Biometrics , 57 : 963 – 971 .
  • Vollset , S. E. 1993 . Confidence intervals for the binomial proportion . Statistics in Medicine , 12 : 809 – 824 .
  • Reiczigel , J. 2003 . Confidence intervals for the binomial parameter: some new considerations . Statistics in Medicine , 22 : 611 – 621 .
  • Anscombe , F. J. 1948 . The validity of comparative experiments . Journal of the Royal Statistical Society, Series A (General) , 111 : 181 – 211 .
  • Stevens , W. L. 1950 . Fiducial limits of the parameter of a discontinuous distribution . Biometrika , 37 : 117 – 129 .
  • Kendall , M. , Stuart , A. and Ord , J. K. 1991 . Kendall's Advanced Theory of Statistics Volume 2: Classical Inference and Relationship, , (5th edn) , New York : Oxford University Press .
  • Lehmann , E. L. 1959 . Testing Statistical Hypotheses , New York : Wiley .
  • Schervish , M. J. 1995 . Theory of Statistics , New York : Springer-Verlag .
  • Korn , E. L. 1987 . Data-randomized confidence intervals for discrete distributions . Communications in Statistics—Theory and Methods , 16 : 705 – 715 .
  • Akahira , M. , Takahashi , K. and Takeuchi , K. 1997 . Randomized confidence intervals of a parameter for a family of discrete exponential type distributions . Communications in Statistics—Simulation and Computation , 26 : 1103 – 1128 .
  • Wright , T. 1997 . A simple algorithm for tighter exact upper confidence bounds with rare attributes in finite universes . Statistics and Probability Letters , 36 : 59 – 67 .
  • Hald , A. 1952 . Statistical Theory with Engineering Applications , New York : Wiley .
  • Venables , W. N. and Ripley , B. D. 1999 . Modern Applied Statistics with S-Plus, , (3rd edn) , New York : Springer-Verlag .
  • 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 – 413 .
  • Berry , G. and Armitage , P. 1995 . Mid-P confidence intervals: a brief review . The Statistician , 44 : 417 – 423 .
  • Sterne , T. H. 1954 . Some remarks on confidence or fiducial limits . Biometrika , 41 : 275 – 278 .
  • Crowe , E. L. 1956 . Confidence intervals for a proportion . Biometrika , 43 : 423 – 435 .
  • Lee , P. M. 1989 . Bayesian Statistics: An Introduction , New York : Oxford University Press .
  • Brown , L. D. , Cai , T. T. and DasGupta , A. 2002 . Confidence intervals for a binomial proportion and asymptotic expansions . The Annals of Statistics , 30 : 160 – 201 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.