# Bayes Factors

## #Bayesian #Model Selection

$$ \frac{p(\mathscr M_1|y)}{ p(\mathscr M_2|y) } = \frac{p(\mathscr M_1)}{ p(\mathscr M_2) }\frac{p(y|\mathscr M_1)}{ p(y|\mathscr M_2) } $$

Bayes factor

$$ \mathrm{BF_{12}} = \frac{m(y|\mathscr M_1)}{m(y|\mathscr M_2)} $$

- $\mathrm{BF_{12}}$: how many time more likely is model $\mathscr M_1$ than $\mathscr M_2$.

Published:
by Lei Ma;

Lei Ma (2020). 'Bayes Factors', Datumorphism, 11 April. Available at: https://datumorphism.leima.is/cards/statistics/bayes-factors/.

## Table of Contents

**Current Ref:**

- cards/statistics/bayes-factors.md