Abstract
Small sample properties of seven confidence intervals for the binomial parameterp (based on various normal approximations) and of the Clopper-Pearson interval are compared. Coverage probabilities and expected lower and upper limits of the intervals are graphically displayed as functions of the binomial parameterp for various sample sizes.
Similar content being viewed by others
References
Bickel PJ, Doksum KA (1977) Mathematical Statistics, Holden-Day, San Francisco
Blyth CR (1986) Approximate Binomial Confidence Limits. Journal of the American Statistical Association 81: 843–855
Blyth CR, Still HA (1983) Binomial Confidence Intervals. Journal of the American Statistical Association 78: 108–116
Clopper CJ, Pearson ES (1934) The Use of Confidence or Fiducial Limits Illustrated in the Case of the Binomial. Biometrika 26: 404–413
Ghosh BK (1979) A Comparison of Some Approximate Confidence Intervals for the Binomial Parameter. Journal of the American Statistical Association 74: 894–900
Hald A (1952) Statistical Theory with Engineering Applications, Wiley, New York
Jennings DE (1987) How Do we Judge Confidence-Interval Adequacy? The American Statistician 41: 335–337
Rutsch M (1988) Comment on Jennings (1987). The American Statistician 42: 289
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schader, M., Schmid, F. Charting small sample characteristics of asymptotic confidence intervals for the binomial parameterp . Statistical Papers 31, 251–264 (1990). https://doi.org/10.1007/BF02924698
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02924698