B2props: Bayesian analysis of the binomial parameters for two samples.
Description
This function computes the posterior distributions of the binomial
parameters \(\pi[1]\) and \(\pi[2]\) when given the numbers of
``successes'' and the sample sizes for the two samples. It uses uniform
priors. A plot of the posterior distributions of the two \(\pi\)'s is
produced, and a plot of the posterior distribution of \(\pi[1] - \pi[2]\)
with its 95% credible interval.
Usage
B2props(s, n, alpha = 0.05)
Arguments
s
a vector containing the 2 numbers of sampling units with the feature ("success")
n
a vector containing the 2 numbers of sampling units examined
alpha
1 - level of credibility, so that for alpha = 0.05 (the default)
credible intervals will have 95% credibility
Value
None, the inferred difference between the probabilities and its 95% credible interval is calculated and several plots are produced
References
van Hulst, R. 2018. Evaluating Scientific Evidence. ms.