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Exact Confidence interval for Binary Proportion

Source: R/BinaryExactCI.R
BinaryExactCI.Rd

This function calculates the exact confidendence interval for a response rate presented by \(n\) and \(r\).

Usage

BinaryExactCI(r, n, alpha = 0.05, drop = TRUE)

Arguments

r

Number of success or responder

n

Sample size

alpha

confidence level

drop

Determines if drop() will be called on the result

Value

100 (1-\(\alpha\))\ response rate

Details

Confidence intervals are obtained by a procedure first given in Clopper and Pearson (1934). This guarantees that the confidence level is at least (1-\(\alpha\)).

Details can be found in the publication listed below.

References

Clopper CJ, Pearson ES (1934). “The use of confidence or fiducial limits illustrated in the case of the binomial.” Biometrika, 26(4), 404–413. doi:10.1093/biomet/26.4.404 .

Examples

BinaryExactCI(3, 20, 0.05)
#>       2.5%      97.5% 
#> 0.03207094 0.37892683