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