The cost of using exact confidence intervals for a binomial proportion

@article{Thulin2014TheCO,
  title={The cost of using exact confidence intervals for a binomial proportion},
  author={Maans Thulin},
  journal={Electronic Journal of Statistics},
  year={2014},
  volume={8},
  pages={817-840}
}
  • Maans Thulin
  • Published 2014
  • Mathematics
  • Electronic Journal of Statistics
  • When computing a confidence interval for a binomial proportion p one must choose between using an exact interval, which has a coverage probability of at least 1 a for all values of p, and a shorter approximate interval, which may have lower coverage for some p but that on average has coverage equal to 1 a. We investigate the cost of using the exact one and two-sided Clopper-Pearson confidence intervals rat her than shorter approximate intervals, first in terms of increased expected length and… CONTINUE READING
    44 Citations

    Figures from this paper

    Comparison of interval estimation methods for a binomial proportion
    • PDF
    Approximate Bayesianity of Frequentist Confidence Intervals for a Binomial Proportion
    • 5
    Calibrated Bayesian credible intervals for binomial proportions
    Exact confidence intervals and hypothesis tests for parameters of discrete distributions
    • 3
    • PDF
    Mean-Minimum Exact Confidence Intervals
    • 2
    • Highly Influenced
    Exact confidence intervals for randomized response strategies
    • 5

    References

    SHOWING 1-10 OF 33 REFERENCES
    Confidence Intervals for a binomial proportion and asymptotic expansions
    • 271
    • Highly Influential
    • PDF
    Confidence intervals for the binomial parameter: some new considerations.
    • 225
    Approximate is Better than “Exact” for Interval Estimation of Binomial Proportions
    • 2,712
    • Highly Influential
    • PDF
    Bayesian Sample Size Determination for Binomial Proportions
    • 37
    • PDF
    Sample size for estimating a binomial proportion: comparison of different methods
    • 9
    • Highly Influential
    Evaluation Criteria for Discrete Confidence Intervals
    • 21
    Binomial Confidence Intervals
    • 376
    Interval Estimation for a Binomial Proportion
    • 2,241
    • Highly Influential
    • PDF
    A comment on sample size calculations for binomial confidence intervals
    • 5