BinaryExactCI function

Exact Confidence interval for Binary Proportion

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

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

Returns

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.

Examples

BinaryExactCI(3, 20, 0.05)

References

Clopper, C. J. & Pearson, E. S. The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika 1934.