bbprop

This package provides a statistical test for the difference of beta-binomial proportions.

Installation

pip3 install bbprop

or

pip3 install --user bbprop

Hypothesis test details

The aim of the test is to determine whether two values drawn from beta-binomial distributions are significantly different from one another.

The null hypothesis of the test is that two random variables B0 and B1 have beta-binomial distribtions with parameters theta0 = (n0, alpha0, beta0) and theta1 = (n1, alpha1, beta1), respectively.

The test statistic is the value x = abs(b0/n0 - b1/n1) where b0 and b1 are the number of successes drawn from B0 and B1.

The p-value is then the probability that x is greater than or equal to its observed value, given the predefined null distribution.

Examples

from bbprop import bbprop_cdf, bbprop_test
help(bbprop_cdf)
help(bbprop_test)
bbprop_cdf(0.1, [30, 12], [4, 5], [6, 5])
bbprop_test(0.1, [30, 12], [4, 5], [6, 5])