$\mathrm{PSP}=\frac{(1-\beta )\pi }{(1-\beta )r+\alpha (1-\pi )}$

where:

• $\mathrm{PSP}$ represents the probability that a declaration of a research finding, made upon reaching statistical significance, is true.
• $\alpha$ represents the level of statistical significance.
• $\mathrm{1\; -\; \beta }$ represents the level of power.
• $r$ can be thought of as the prior.