Number needed to treat
The number needed to treat (NNT) is an epidemiological measure that indicates how many patients would require treatment with a form of medication to reduce the expected number of cases of a defined endpoint by one. It is defined as the inverse of the absolute risk reduction. It was described in 1988.[1]
For example, consider a hypothetical drug which reduces the risk of colon cancer by 50%. Even without the drug, colon cancer is fairly rare, maybe 1 in 3,000 in every 5 year period. The NNT for a 5-year treatment with the drug is therefore 6,000: by treating 6,000 people with the drug, one can expect to reduce the number of colon cancer cases from 2 to 1.
In general, NNT is always computed with respect to two treatments A and B, with A typically a drug and B a placebo (in our example above, A is a 5-year treatment with the hypothetical drug, and B is no treatment). A defined endpoint has to be specified (in our example: the appearance of colon cancer in the 5 year period). If the probabilities pA and pB of this endpoint under treatments A and B, respectively, are known, then the NNT is computed as 1/(pB-pA).
The NNT is an important measure in pharmacoeconomics. If a clinical endpoint is devastating enough (e.g. death, heart attack), drugs with a high NNT may still be indicated in particular situations. If the endpoint is minor, health insurers may decline to reimburse drugs with a high NNT.
Worked example
| Abbreviation |
Variable |
Equation |
Value |
| - |
subjects in control group |
- |
250 |
| - |
subjects in experimental group |
- |
150 |
| - |
events in control group |
- |
100 |
| - |
events in experimental group |
- |
15 |
| CER |
control event rate |
= events / subjects in control group |
0.4, or 40% |
| EER |
experimental event rate |
= events / subjects in experimental group |
0.1, or 10% |
| ARR |
absolute risk reduction (or increase) |
= CER - EER |
0.3, or 30% |
| RRR |
relative risk reduction (or increase) |
= (CER - EER) / CER |
0.75 |
| NNT |
number needed to treat/number needed to harm |
= 1 / ARR |
3.33 |
| OR, RR |
odds ratio, relative risk (not really identical, but similar -- see articles for details) |
= CER / EER |
4 |
See also
Online Calculators
- EBEM's Calculator for NNT
References
- ^ Laupacis A, Sackett DL, Roberts RS. An assessment of clinically useful measures of the consequences of treatment. N Engl J Med 1988;318:1728-33. PMID 3374545.
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