ci_p_arcsine: ArcoSeno confidence interval for Binomial proportion

In fhernanb/stests: Package with useful statistical tests

ArcoSeno confidence interval for Binomial proportion

Description

This function calculates the confidence interval for a proportion. It is vectorized, allowing users to evaluate it using either single values or vectors.

Usage

ci_p_arcsine(x, n, conf.level = 0.95)

Arguments

x	a number or a vector with the number of successes.
n	a number or a vector with the number of trials.
conf.level	confidence level for the returned confidence interval. By default is 0.95.

Details

The expression to obtain the confidence interval is given below:

\sin^2(\hat\phi_{ML} \pm z_{\alpha/2} \times se(\hat\phi_{ML})),

where the maximum likelihood estimator for \phi is \hat\phi_{ML}=\arcsin(\sqrt{\hat \pi_{ML}}), and its standard error is se(\hat{\phi}_{ML})=\frac{1}{\sqrt{4n}}. The value z_{\alpha/2} is the 1-\alpha/2 percentile of the standard normal distribution (e.g., z_{0.025}=1.96 for a 95% confidence interval).

Value

A matrix with the lower and upper limits.

Author(s)

Victor David Usuga Duque, [e-mail]

References

Missing reference.

See Also

ci_p.

Examples

ci_p_arcsine(x=15, n=50, conf.level=0.95)

fhernanb/stests documentation built on March 29, 2025, 10:36 a.m.