2 model posterior odds

A 2 model version of the general form Posterior odds on a model

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

Components:

• $\frac{P(M_1)}{P(M_2)}$ - Prior odds of the models
• $\frac{P(y|M_1)}{P(y|M_2)}$ - Bayes Factor

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References

@lancaster2004 - Chapter 2