Wald CI — ci_prop_wald • cicalc

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.

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

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

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)