Consider a Beta-Binomial Bayesian model for parameter π with a Beta(alpha, beta) prior on π and Binomial likelihood with n trials and y successes. Given information on the prior (alpha and data) and data (y and n), this function summarizes the mean, mode, and variance of the prior and posterior Beta models of π.
summarize_beta_binomial(alpha, beta, y =NULL, n =NULL)
Arguments
alpha, beta: positive shape parameters of the prior Beta model
y: number of successes
n: number of trials
Returns
a summary table
Examples
summarize_beta_binomial(alpha =1, beta =15, y =25, n =50)