Clopper-Pearson Confidence Interval for One-Sample Proportion

Obtains the Clopper-Pearson exact confidence interval for a one-sample proportion.

Usage

ClopperPearsonCI(n, y, cilevel = 0.95)

Arguments

n

The sample size.

y

The number of responses.

cilevel

The confidence interval level.

Value

A data frame with the following variables:

• n: The sample size.

• y: The number of responses.

• phat: The observed proportion of responses.

• lower: The lower limit of the confidence interval.

• upper: The upper limit of the confidence interval.

• cilevel: The confidence interval level.

References

Clopper, C. J., & Pearson, E. S. (1934). The use of confidence or fiducial limits illustrated in the case of the binomial. Biometrika, 26(4), 404-413.

Author

Kaifeng Lu, kaifenglu@gmail.com

Examples

ClopperPearsonCI(20, 3)
#>    n y phat      lower     upper cilevel
#> 1 20 3 0.15 0.03207094 0.3789268    0.95