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Critical Appraisal

Number Needed to Treat (NNT)

EM FINAL EXAMS Critical Appraisal · Statistics Number Needed to Treat (NNT) The number of patients you must treat to prevent one extra bad outcome. Definition The number of patients treated, over a defined period, for one of them to avoid one extra adverse event. NNT = 1 ÷ ARR (absolute risk reduction). Lower is […]

EM FINAL EXAMS Critical Appraisal · Statistics

Number Needed to Treat (NNT)

The number of patients you must treat to prevent one extra bad outcome.

Definition

The number of patients treated, over a defined period, for one of them to avoid one extra adverse event. NNT = 1 ÷ ARR (absolute risk reduction). Lower is better; NNT 1 means everyone benefits.

The picture

67 treated → 1 avoids the extra bad outcome

What it shows

67 treated patients. Only the highlighted figure avoids the extra outcome because of treatment; the other 66 gain nothing from it.

How to read it

Each figure is one patient treated for the trial’s duration. The single highlighted one is the patient whose bad outcome is prevented. The bigger the crowd needed to colour in one figure, the weaker the treatment’s real-world impact.

Why it matters

An impressive relative risk reduction can hide a tiny absolute benefit when events are rare. NNT re-anchors the effect to baseline risk — the fastest test of whether a “positive” trial should change ED practice.

Key
  • NNT = 1 ÷ ARR (always round UP)
  • Always state the timeframe and the baseline risk
  • NNH = the same maths, for harm
Pitfall
Pitfall An NNT with no timeframe or baseline risk attached is meaningless — and NNT rises sharply as baseline risk falls, so low-risk groups need many more treated.
emfinalexams.com · FRCEM / MRCEM revision
EM trial in the wild

CRASH-2 (Lancet 2010) — 20,211 trauma patients with, or at risk of, significant haemorrhage, TXA vs placebo. 28-day all-cause mortality 16.0% → 14.5% (RR 0.91) → NNT ≈ 67. Time-critical: TXA helps if given ≤3 h; given >3 h the subgroup had more bleeding deaths — the NNT only holds for early treatment.

Examiner traps
  • Quoting an NNT with no timeframe/baseline risk.
  • Confusing NNT (needs ARR) with relative risk reduction — classic SBA distractor.
  • Forgetting NNT rises as baseline risk falls.
Quick check

A trial reports a 30% relative risk reduction. Can you calculate the NNT?
Answer: No — RRR alone isn’t enough; you need the absolute risk reduction (the control event rate), because NNT = 1 ÷ ARR.

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