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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-\(\alpha\))% exact confidence interval for given 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, C. J. & Pearson, E. S. The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika 1934.

Examples

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