Clopper-Pearson Confidence Interval for One-Sample Proportion

Source: R/getDesignProportions.R

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

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