Table 2 The relationship α, β, and γ TP, TN, FP FN, and the declared success rate (s) in preclinical and clinical drug development (see text for details).

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

  

True relationship

No true relationship

All

Stage 1:

Preclinical development \({\boldsymbol{(}}{\boldsymbol{pc}}{\boldsymbol{)}}\)

Declared success

\({{{TP}}_{{pc}}=\gamma }_{{pc}}(1-{\beta }_{{pc}})\)

\({{{FP}}_{{pc}}=\alpha }_{{pc}}(1-{\gamma }_{{pc}})\)

\({S}_{{pc}}\)

Declared failure

\({{{FN}}_{{pc}}=\gamma }_{{pc}}{\beta }_{{pc}}\)

\({{TN}}_{{pc}}=(1-{\alpha }_{{pc}})(1-{\gamma }_{{pc}})\)

\(1-{S}_{{pc}}\)

All

\({\gamma }_{{pc}}\)

\(1-{\gamma }_{{pc}}\)

1

Stage 2:

Clinical Development \({\boldsymbol{(}}{\boldsymbol{c}}{\boldsymbol{)}}\)

Declared success

\({{TP}}_{c}={\gamma }_{c}(1-{\beta }_{c})\)

\({{{FP}}_{c}=\alpha }_{c}(1-{\gamma }_{c})\)

\({S}_{c}\)

Declared failure

\({{FN}}_{c}={\gamma }_{c}{\beta }_{c}\)

\({{TN}}_{c}=(1-{\alpha }_{c})(1-{\gamma }_{c})\)

\(1-{S}_{c}\)

All

\({\gamma }_{c}\) = \({{TDR}}_{{pc}}\)

\(1-{\gamma }_{c}\)

1