binomial_pi: Calculates the percentile interval for the probability...
In tmalsburg/binomialCRIs: Calculate and Plot Binomial Credible Intervals

Description Usage Arguments Value Author(s) Examples

Calculates the percentile interval for the probability parameter underlying a binomially distributed outcome.

1	binomial_pi(n_successes, n_trials, prob, prior_shape1 = 1, prior_shape2 = 1)

`n_successes`	The number of successes.
`n_trials`	The total number of trials.
`prob`	The size of the percentile interval with 0 <= prob <= 1.
`prior_shape1`	The shape1 parameter of the Beta distribution defining the prior. The default values shape1=1 and shape2=1 define a flat prior assigning equal probability density to all possible parameter values.
`prior_shape2`	The shape2 parameter of the Beta distribution defining the prior. The default values shape1=1 and shape2=1 define a flat prior assigning equal probability density to all possible parameter values.

A vector containing the endpoints of the percentile interval.

Titus von der Malsburg <malsburg@uni-potsdam.de>

# 6/9 successes with flat prior:
binomial_pi(6, 9, 0.8)

# 6/9 successes with prior assuming one prior success and one failure:
binomial_pi(6, 9, 0.8, 2, 2)

# Equivalently:
binomial_pi(7, 11, 0.8)