Number Needed to Treat
Number of patients who must receive a treatment for one additional patient to benefit.
Live Calculator
MembersVariables
Example
Control event rate 20 %, treatment 15 % → ARR = 0.05, NNT = 20
How it works
Number Needed to Treat tells you how many people must receive an intervention for one extra person to have a good outcome compared with not receiving it. It comes from the absolute risk reduction because the benefit is the fraction of patients who are helped beyond what would have happened anyway; taking 1 divided by that fraction converts a per-patient difference into a "people needed" count. A smaller ARR means a rarer benefit, so more patients are needed to see one additional success.
When to use it
Use this when comparing a treatment or prevention strategy against a control in clinical trials, screening studies, or public health programs. It is especially useful for judging how practical or impactful an intervention is in real-world decision-making.
Worked example, step by step
Suppose a vaccine reduces disease risk from 12% in the control group to 7% in the vaccinated group. ARR = control rate − treatment rate = 0.12 − 0.07 = 0.05 NNT = 1 / ARR = 1 / 0.05 = 20 So, 20 people need to be vaccinated to prevent 1 additional case of disease.
Common mistakes to avoid
- Using the treatment rate or control rate directly instead of the absolute risk reduction
- Forgetting that ARR must be written as a decimal, not a percent
- Rounding too early and getting an inaccurate NNT
Did You Know?
An NNT of 1 would be a perfect cure. In practice, aspirin for heart-attack prevention has an NNT around 100.
Share this formula
More in Epidemiology & Public Health
View allIncidence Rate
BasicRate at which new cases of a disease appear in a population over a given period.
Prevalence
BasicProportion of a population that has a particular condition at a point in time.
Basic Reproduction Number
IntermediateAverage number of secondary infections produced by one infected individual in a fully susceptible population.
Herd-Immunity Threshold
IntermediateMinimum fraction of the population that must be immune to prevent sustained spread.
Effective Reproduction Number
IntermediateActual average infections per case when part of the population is already immune.
SIR Model — Susceptible
AdvancedRate of change of the susceptible population in the SIR compartmental model.