Table 1 The relationship between α, β andγ, the true discovery rate (TDR) and the false discovery rate (FDR).

From: Improving the odds of drug development success through human genomics: modelling study

Outcome

Causal pairings

Non-causal pairings

Hypotheses tested

TDR

FDR

Declared positive

γ(1 − β)

α(1 − γ)

[γ(1 − β)] + [α(1 − γ)]

\(\frac{\gamma (1-\beta )}{\gamma (1-\beta )\,+\,\alpha \,(1-\gamma )}\)

\(\frac{\,\alpha (1-\gamma )\,}{(1-\beta )\,\gamma \,+\,\alpha \,(1-\gamma )}\)

Declared negative

γβ

(1 − α)(1 − γ)

[γβ] + [(1 − α)(1 − γ)]

  
 

γ

1 − γ

1