CONFIDENCE INTERVALS FOR PROPORTION ESTIMATES IN COMPLEX SAMPLES

Comparison of five introduced confidence intervals for the binomial proportion

So far many confidence intervals were introduced for the binomial proportion. In this paper, our purpose is comparing five well known based on their exact confidence coefficient and average coverage probability.

Confidence intervals for a binomial proportion.

Thirteen methods for computing binomial confidence intervals are compared based on their coverage properties, widths and errors relative to exact limits. The use of the standard textbook method, x/n +/- 1.96 square root of [(x/n)(1-x/n)/n], or its continuity corrected version, is strongly discouraged. A commonly cited rule of thumb stating that alternatives to exact methods may be used when the...

Confidence Intervals for a Binomial Proportion and Asymptotic Expansions

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Confidence Intervals for Trend Estimates With Autocorrelated Observations

Stabilizing bootstrap-t confidence intervals for small samples

A major use of the bootstrap methodology is in the construction of nonparametric confidence intervals. Although no consensus has yet been reached on the best way to proceed, theoretical and empirical evidence indicate that bootstrap-t intervals provide a reasonable solution to this problem. However, when applied to small data sets, these intervals can be unusually wide and unstable. The author ...