Net efficacy adjusted for risk

In statistics, net efficacy adjusted for risk (NEAR) is a measure that combines measure of efficacy and risk into a single metric. For example, the relative risk of efficacy can be combined with the relative risk for drug toxicity into a single NEAR RR. Alternatively, the odds ratio of efficacy can be combined with the odds ratio for drug toxicity into a single NEAR OR.

${\mbox{Net efficacy adjusted for risk (NEAR RR)}}={\mbox{Relative risk for efficacy }}\times {\mbox{ Relative risk for harm}}$

${\mbox{Net efficacy adjusted for risk (NEAR OR)}}={\mbox{Odds ratio for efficacy }}\times {\mbox{ Odds ratio for harm}}$

2×2 table combining efficacy and safety results of a theoretical controlled randomized clinical trial.

Re-arrangement of results from typical two-by-two table for calculating NEAR RR or NEAR OR.

Using the second table, let b1+c1+d1 = S1 and b2+c2+d2 = S2. Then

${\mbox{Net efficacy adjusted for risk (NEAR RR)}}=\left({\frac {a_{1}/n_{1}}{a_{2}/n_{2}}}\right)$

${\mbox{Net efficacy adjusted for risk (NEAR OR)}}=\left({\frac {a_{1}*S_{2}}{a_{2}*S_{1}}}\right)$

The 95% confidence intervals can be calculated by the method of Boada.