ci_prop_wilson: Wilson CI

In cicalc: Calculate Confidence Intervals

Wilson CI

Description

Calculates the Wilson interval by calling stats::prop.test(). Also referred to as Wilson score interval.

Usage

ci_prop_wilson(x, conf.level = 0.95, correct = FALSE, 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
correct	(logical) apply continuity correction.
data	(data.frame) Optional data frame containing the variables specified in x and by.

Details

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

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

cicalc documentation built on Aug. 8, 2025, 7 p.m.