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© February 2007 Lorentz JÄNTSCHI

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Confidence intervals for a binomial proportion.

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Binomial Distributed Variable Confidence Intervals References (some of them):
NameMethodReference
WaldWaldAbraham WALD, Contributions to the Theory of Statistical Estimation and Testing Hypothesis, The Annals of Mathematical Statistics, p. 299-326, 1939.
WaldCWald cc(?) Brown D.L., Cai T.T., DasGupta A., Interval estimation for a binomial proportion, Statistical Science, 16, p. 101-133, 2001.
ACAgresti-CoullAlan AGRESTI, Brent A. COULL, Approximate is better than 'exact' for interval estimation of binomial proportions, The American Statistician, 52, p. 119-126, 1998.
ACC1Agresti-Coull cc(?) Brown D.L., Cai T.T., DasGupta A., Interval estimation for a binomial proportion, Statistical Science, 16, p. 101-133, 2001.
ACC2Agresti-Coull cc[New correction]
WilsonWilsonEdwin Bidwell WILSON, Probable Inference, the Law of Succession, and Statistical Inference, Journal of the American Statistical Association, 22, p. 209-212, 1927.
WilsonCWilson ccRobert G. NEWCOMBE, Two-Sided Confidence Intervals for the Single Proportion: Comparison of Seven Methods, Statistics in Medicine, 17, p. 857-872, 1998.
ArcSArcSineJ. R. Anderson, L. Bernstein, M. C. Pike, Approximate Confidence Intervals for Probabilities of Survival and Quantiles in Life-Table Analysis, Biometrics, 38(2), p. 407-416, 1982.
ArcSC1ArcSine cc(?) Brown D.L., Cai T.T., DasGupta A., Interval estimation for a binomial proportion, Statistical Science, 16, p. 101-133, 2001.
ArcSC2ArcSine cc(?) Brown D.L., Cai T.T., DasGupta A., Interval estimation for a binomial proportion, Statistical Science, 16, p. 101-133, 2001.
ArcSC3ArcSine cc[New correction]
Pau_TakPaulson-TakeuchiFujino Y., Approximate binomial confidence limits, Biometrika, 67(3), p. 677-681, 1980.
LogitLogit (Woolf)Woolf B., On estimating the relation between blood group and disease, Annals of Human Genetics, 19, p. 251-253, 1955.
LogitCLogit (Gart)Gart J. J., Alternative analyses of contingency tables, Journal of Royal Statistical Society, B28, p. 164-179, 1966.
BetaC11Bayes (Fisher)Fisher R. A., Statistical Methods for Scientific Inference, Oliver and Boyd, Edinburgh, 1956.
BetaC01Clopper-PearsonClopper C., Pearson S., The use of confidence or fiducial limits illustrated in the case of the binomial, Biometrika, 26, p. 404-413, 1934.
BetaCJ0JeffreysJeffreys H., Theory of Probability (3rd Ed), Clarendon Press, Oxford, 1961.
BetaC00Beta cc[New correction]
BetaC10Beta cc[New correction]
BetaCJ1Beta cc[New correction]
BetaCJ2Beta cc[New correction]
OptimizedOptB[New correction] Sorana D. BOLBOACA, Lorentz JÄNTSCHI, Optimized Confidence Intervals for Binomial Distributed Samples, International Journal of Pure and Applied Mathematics, accepted (August 2, 2007), in press (Volume 40, Issue 3).