Wald CI

Calculates the Wald interval by following the usual textbook definition for a single proportion confidence interval using the normal approximation.

Usage

ci_prop_wald(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

$$\hat{p} \pm z_{\alpha/2} \sqrt{\frac{\hat{p}(1 - \hat{p})}{n}}$$

Examples

# example code
x <- c(
TRUE, TRUE, TRUE, TRUE, TRUE,
FALSE, FALSE, FALSE, FALSE, FALSE
)

ci_prop_wald(x, conf.level = 0.9)
#> 
#> ── Wald Confidence Interval without Continuity Correction ──────────────────────
#> • 5 responses out of 10
#> • Estimate: 0.5
#> • 90% Confidence Interval:
#>   (0.2399, 0.7601)