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 |