Prior Odds and Positive Predictive Value

November 13, 2023

The relationship between the Positive Predictive Value (PPV) and the Power of the study ( 1 – beta) is related via the significance value (alpha) and the prior odds:

$\textrm{PPV} = \frac{(1 - \beta)*\textrm{Prior Odds}}{(1 - \beta)*\textrm{Prior Odds} + \alpha}$

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