ci_prop_agresti_coull: Agresti-Coull CI
In cicalc: Calculate Confidence Intervals

ci_prop_agresti_coull

R Documentation

Agresti-Coull CI

Description

Calculates the Agresti-Coull interval (created by ⁠Alan Agresti⁠ and ⁠Brent Coull⁠) by (for 95% CI) adding two successes and two failures to the data and then using the Wald formula to construct a CI.

Usage

ci_prop_agresti_coull(x, conf.level = 0.95, data = NULL)

Arguments

`x`	(`binary`/`numeric`/`logical`) vector of a binary values, i.e. a logical vector, or numeric with values `c(0, 1)`
`conf.level`	(`⁠scalar numeric⁠`) a scalar in (0,1) indicating the confidence level. Default is 0.95
`data`	(`data.frame`) Optional data frame containing the variables specified in `x` and `by`.

Details

\left( \frac{\tilde{p} + z^2_{\alpha/2}/2}{n + z^2_{\alpha/2}} \pm z_{\alpha/2} \sqrt{\frac{\tilde{p}(1 - \tilde{p})}{n} + \frac{z^2_{\alpha/2}}{4n^2}} \right)

Value

An object containing the following components:

`n`	Number of responses
`N`	Total number
`estimate`	The point estimate of the proportion
`conf.low`	Lower bound of the confidence interval
`conf.high`	Upper bound of the confidence interval
`conf.level`	The confidence level used
`method`	Type of method used