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Absolute Risk

The probability that an individual in a defined population will experience a specific outcome over a given period, without reference to a comparison.

Last reviewedDarrin Baines IP Ltd

Concept Architecture

Concept

Theoretically, Absolute Risk is the probability that an individual within a defined population will experience a specified event during a stated period. It represents the cumulative occurrence of an outcome without reference to a comparison group and provides a direct measure of disease occurrence or treatment outcome. Absolute risk forms a fundamental measure in epidemiology, clinical research and health economics because it quantifies the likelihood of an event in real-world terms.

Mathematically, absolute risk is calculated as the proportion of individuals experiencing the event among all individuals at risk during the observation period. The measure ranges from 0 to 1 and may also be expressed as a percentage. Absolute risk serves as the basis for calculating absolute risk reduction, number needed to treat and other clinically meaningful measures of treatment benefit.

In practice, absolute risk is routinely estimated from clinical trials, cohort studies, disease registries and real-world evidence. It is widely used in health technology assessment, economic evaluation and decision modelling to estimate baseline event probabilities, treatment outcomes and expected health benefits over time.


Purpose

Used to quantify the probability of an event occurring within a defined population over a specified period and to provide baseline risks for clinical and health economic evaluation.


Mathematical Formulae

Primary Formula

Absolute Risk = Number of events / Number of individuals at risk

or

AR = E / N

where:

  • AR = absolute risk
  • E = number of individuals experiencing the event
  • N = total number of individuals at risk

Supporting Formulae

Percentage risk:

Absolute Risk (%) = (E / N) ? 100

Complementary probability:

Probability of no event = 1 ? AR

Related Mathematical Methods

  • Absolute Risk Reduction
  • Relative Risk
  • Risk Difference
  • Number Needed to Treat
  • Cumulative Incidence
  • Incidence Proportion

Example

A clinical trial follows 2,000 patients receiving standard care for one year. During follow-up, 120 patients experience a myocardial infarction.

Absolute Risk = 120 � 2,000 = 0.06

Absolute Risk = 6%

Thus, the probability of experiencing myocardial infarction during one year is 6%.


Excel Implementation

FunctionExample FormulaHealth Economics Application
Division=A2/B2Calculate absolute risk
Percentage Format=A2/B2Display risk as a percentage
IF=IF(A2/B2>0.10,"High risk","Lower risk")Categorise baseline risk for decision models
SUM=SUM(A2:A20)/SUM(B2:B20)Calculate pooled absolute risk across studies

VBA (Optional)

Automate calculation of absolute risks across multiple treatment groups and generate baseline event probability tables for economic models.


Sources

  • Rothman KJ, Greenland S, Lash TL. Modern Epidemiology.
  • Altman DG, Bland JM. Statistics Notes: Risk and Odds. BMJ.
  • Higgins JPT, Thomas J, Chandler J, et al. Cochrane Handbook for Systematic Reviews of Interventions.
  • NICE. Health Technology Evaluation Manual.
  • Drummond MF, Sculpher MJ, Claxton K, Stoddart GL, Torrance GW. Methods for the Economic Evaluation of Health Care Programmes.

Library

Publications

1
  • Book

    Statistical Analysis of Cost-Effectiveness Data — Willan & Briggs, 1st Edition ed., 2006 (John Wiley & Sons)

    A synthesis of statistical methods for analysing cost-effectiveness data, including net-benefit regression, confidence intervals for the ICER, cost-effectiveness acceptability curves, and covariate adjustment. Part of the Wiley Statistics in Practice series.

Frequently Asked Questions (6)

  • What is absolute risk?

    The probability that an individual in a defined population will experience a specific outcome over a given period, without reference to a comparison.

    Source: Rothman KJ, Greenland S, Lash TL. Modern Epidemiology. 3rd ed. Lippincott Williams & Wilkins; 2008.

  • What does absolute risk say about an individual's chance of an outcome?

    Absolute risk is the probability that a person in a defined group will experience a particular outcome over a stated period, expressed on its own without comparison to another group. It says directly how likely the event is for that individual, such as a one-in-twenty chance over ten years, which is what a patient most naturally wants to know. Because it stands alone, it conveys the true magnitude of a risk in a way a ratio between groups cannot. A plain probability of the event is what it gives. Rothman and colleagues (2008) describe this.

    Source: Rothman et al. 2008

  • How does absolute risk differ from relative risk?

    Absolute risk is the actual probability of an outcome in a group, stated on its own, while relative risk compares the risk between two groups as a ratio. Absolute risk tells how likely the outcome is; relative risk tells how many times more or less likely it is in one group than another. A relative risk conveys the strength of an association but not the underlying probability, so the same relative risk can correspond to very different absolute risks depending on the baseline. So absolute risk gives the actual likelihood and relative risk the proportional comparison, and both are needed to interpret risk fully.

    Source: Rothman, Greenland & Lash 2008

  • Why is absolute risk important?

    Absolute risk is important because it conveys the actual likelihood of an outcome, which is what patients and clinicians need to judge how concerning a risk is and to make decisions, and which relative measures alone do not provide. A large relative increase in risk may still leave the absolute risk small if the baseline is low. So absolute risk matters for the meaningful communication and interpretation of risk, since understanding how likely an outcome actually is, not only how it compares between groups, is central to informed decisions about treatment and prevention, and to avoiding the exaggeration that relative measures can create.

    Source: Rothman, Greenland & Lash 2008

  • How is absolute risk calculated?

    Absolute risk is calculated as the number of individuals experiencing the outcome divided by the total number in the defined group over the specified period, giving the proportion or probability of the outcome. It requires a defined population, outcome, and time period. So absolute risk is calculated directly from the frequency of the outcome in a group, expressing it as a probability, which forms the basis for comparing groups through differences or ratios, since absolute risks in different groups are combined to give measures such as the risk difference and the risk ratio, and its calculation depends on clearly specifying the population and period.

    Source: Rothman, Greenland & Lash 2008

  • How does absolute risk relate to absolute risk reduction?

    Absolute risk relates to absolute risk reduction in that the absolute risk reduction is the difference between the absolute risks of an outcome in two groups, typically a control group and a treatment group. The absolute risks are the actual probabilities in each group, and their difference measures how much the treatment changes the risk in absolute terms. So absolute risk is the building block from which absolute risk reduction is derived, since subtracting the absolute risk in the treated group from that in the control group gives the reduction, which conveys the practical benefit of the treatment on the scale of the outcome.

    Source: Rothman, Greenland & Lash 2008

Trust Record

Verified by Dr Darrin Baines

British health economist

Professional identity: darrinbaines.org

Verification date: 8 Dec 2025

Content version: 1.0.0

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Term code
HE-ES-RM-002

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