Abstract
The methodology for deriving the exact confidence coefficient of some confidence intervals for a binomial proportion is proposed in Wang [2007. Exact confidence coefficients of confidence intervals for a binomial proportion. Statist. Sinica 17, 361-368]. The methodology requires two conditions of confidence intervals: the monotone boundary property and the full coverage property. In this paper, we show that for some confidence intervals of a binomial proportion, the two properties hold for any sample size. Based on results presented in this paper, the procedure in Wang [2007. Exact confidence coefficients of confidence intervals for a binomial proportion. Statist. Sinica 17, 361-368] can be directly used to calculate the exact confidence coefficients of these confidence intervals for any fixed sample size.
| Original language | English |
|---|---|
| Pages (from-to) | 495-501 |
| Number of pages | 7 |
| Journal | Journal of Statistical Planning and Inference |
| Volume | 140 |
| Issue number | 2 |
| DOIs | |
| State | Published - 1 Feb 2010 |
Keywords
- Binomial distribution
- Confidence coefficient
- Confidence interval
- Coverage probability
- The full coverage property
- The monotone boundary property