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Hazard ratio

A comparison of instantaneous event rates over time among people who remain at risk.

Editorial update · October 6, 2026

Hazard is not cumulative probability

Hazard concerns the rate of an event at a particular time among people who have not yet experienced it. Its interpretation depends on time and on the population that remains at risk; it is not the cumulative probability of an event.

Check the model assumptions

Interpretation depends on the model, including proportional hazards when that assumption applies. Curves that cross or relationships that change over follow-up require particular care. A single estimate may hide variation over time.

Read alongside other results

Examine survival curves, risks at defined times and confidence intervals. A hazard ratio below 1 does not directly mean the same percentage reduction in each participant’s cumulative probability of death.

Interpretation limits

A hazard ratio is neither a relative risk nor an estimate of an individual’s survival time.

Original references

  1. Hazard ratio
  2. Clinical Trial Endpoints for the Approval of Cancer Drugs and Biologics

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