Comparison of Different Intervals
There are several research papers that compare these and other confidence intervals for the binomial proportion. A good starting point is Agresti and Coull (1998) or Ross (2003) which point out that exact methods such as the Clopper-Pearson interval may not work as well as certain approximations. But it is still used today for many studies.
Many of these intervals can be calculated in R using the binom package.
Read more about this topic: Binomial Proportion Confidence Interval
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