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.
ci_prop_agresti_coull(x, conf.level = 0.95, data = NULL)
An object containing the following components:
Number of responses
Total number
The point estimate of the proportion
Lower bound of the confidence interval
Upper bound of the confidence interval
The confidence level used
Type of method used
(binary
/numeric
/logical
)
vector of a binary values, i.e. a logical vector, or numeric with values c(0, 1)
(scalar numeric
)
a scalar in (0,1) indicating the confidence level. Default is 0.95
(data.frame
)
Optional data frame containing the variables specified in x
and by
.
$$ \left( \frac{\tilde{p} + z^2_{\alpha/2}/2}{n + z^2_{\alpha/2}} \pm z_{\alpha/2} \sqrt{\frac{\tilde{p}(1 - \tilde{p})}{n} + \frac{z^2_{\alpha/2}}{4n^2}} \right)$$