Relative Risk Calculator

Calculate the relative risk ratio between two groups to measure the strength of association between exposure and outcome.

Calculator

Calculate Relative Risk

Exposed Group

Control Group

Concept

What is Relative Risk?

Relative risk (RR) is a measure of the strength of association between an exposure and an outcome. It compares the probability of an outcome occurring in an exposed group to the probability of the same outcome occurring in a control group.

Key Points:
  • Measures the strength of association
  • Compares exposed vs. control groups
  • Used in epidemiological studies
  • Helps assess risk factors
Guide

Interpreting Relative Risk

RR > 1

Indicates increased risk in the exposed group compared to the control group.

RR = 1

Indicates no difference in risk between the exposed and control groups.

RR < 1

Indicates decreased risk in the exposed group compared to the control group.

Confidence Intervals

Help determine if the association is statistically significant.

Formula

Relative Risk Formula

The relative risk is calculated using the following formula:

Formula:
RR = (a/(a+b)) / (c/(c+d))

Where:

  • a = exposed with outcome
  • b = exposed without outcome
  • c = control with outcome
  • d = control without outcome
Examples

Examples

Example 1 Increased Risk

Exposed Group: 40 with outcome, 60 without
Control Group: 20 with outcome, 80 without

RR = 2.0

The exposed group has twice the risk of the outcome

Example 2 No Association

Exposed Group: 30 with outcome, 70 without
Control Group: 30 with outcome, 70 without

RR = 1.0

No difference in risk between groups

Example 3 Protective Effect

Exposed Group: 20 with outcome, 80 without
Control Group: 40 with outcome, 60 without

RR = 0.5

The exposed group has half the risk of the outcome

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