NNT Calculator

Enter the event counts from a control group and a treatment group to get the number needed to treat (NNT), absolute risk reduction, relative risk reduction, and relative risk.

Quick Facts

Core formula
NNT = 1 / (CER - EER)
Result is rounded up to the next whole patient; CER and EER are the control and experimental event rates.
Sign matters
Negative ARR = NNH
If the treatment group's event rate is higher than the control group's, the same formula yields a number needed to harm.

Your Results

Calculated
Number needed to treat
-
Patients treated to prevent one event
Absolute risk reduction
-
Control event rate minus treatment rate
Relative risk reduction
-
ARR as a percent of the control rate
Relative risk
-
Treatment rate divided by control rate

Ready

Enter each group's event count and total, then calculate the NNT.

About the number needed to treat (NNT)

The number needed to treat is a standard evidence-based-medicine statistic that translates a clinical trial's results into a practical count: how many patients, on average, need to receive a treatment instead of the control for one additional patient to avoid the outcome being measured. It was introduced by Laupacis, Sackett, and Roberts in 1988 and is now a routine way to report the benefit of a therapy alongside its relative-risk figures.

How the calculation works

NNT is built from two event rates measured over the same follow-up period:

  • Control event rate (CER): the number of control-group patients who had the outcome, divided by the total number of control-group patients.
  • Experimental event rate (EER): the number of treatment-group patients who had the outcome, divided by the total number of treatment-group patients.
  • Absolute risk reduction (ARR): CER minus EER — the plain difference in event rates between the two groups.
  • NNT: 1 divided by ARR, rounded up to the next whole number, since you cannot treat a fractional patient.

Two related figures usually accompany NNT: relative risk reduction (RRR), which is ARR expressed as a percentage of the control rate, and relative risk (RR), which is EER divided by CER. If the treatment group's event rate turns out higher than the control group's — meaning the treatment is associated with more of the outcome, not less — the absolute risk reduction is negative, and the same 1-divided-by-ARR arithmetic produces the number needed to harm (NNH) instead.

Interpreting the result

A smaller NNT means a smaller number of patients need to be treated for one to benefit, which generally signals a larger treatment effect for that outcome and time period. As a widely used rule of thumb, an NNT in the single digits is often considered a large effect, while NNT values in the tens or higher indicate a smaller absolute benefit — even when the relative risk reduction looks impressive. NNT should always be reported together with the time frame and outcome it refers to, since the same drug can have a very different NNT for different endpoints or durations.

When to consult a professional

This tool performs the standard NNT arithmetic from the counts you provide. It does not evaluate trial quality, statistical significance, or confidence intervals, and it is not a substitute for reading the source study or for professional medical or biostatistical advice when the result informs a treatment decision.

Frequently Asked Questions

What is the number needed to treat (NNT)?
The number needed to treat is the average number of patients who must receive a treatment, instead of the control, for one additional patient to avoid the outcome being studied. It is calculated as 1 divided by the absolute risk reduction between a control group and a treatment group, then rounded up to the next whole number.
How is NNT calculated from a clinical trial?
First find the control event rate (control group events divided by control group total) and the experimental event rate (treatment group events divided by treatment group total). Subtract to get the absolute risk reduction, then take 1 divided by that absolute risk reduction and round up. If the treatment group has a higher event rate than the control group, the same arithmetic gives the number needed to harm (NNH) instead.
What do ARR, RRR, and RR mean next to NNT?
Absolute risk reduction (ARR) is the control event rate minus the treatment event rate. Relative risk reduction (RRR) expresses that same reduction as a percentage of the control rate. Relative risk (RR) is the treatment event rate divided by the control event rate. NNT is 1 divided by ARR, so a smaller ARR produces a larger NNT.