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Relative Risk from a Two-by-Two Table Calculator — result sheet
Calculate event risk in two groups and their relative risk from a two-by-two table.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Risk in exposed=a/(a+b); risk in unexposed=c/(c+d); relative risk=exposed risk/unexposed risk.
Relative risk compares event probabilities when group denominators represent the populations at risk.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Exposed cases a — minimum 0; maximum 1000000000000
- Exposed non-cases b — minimum 0; maximum 1000000000000
- Unexposed cases c — minimum 1.0E-6; maximum 1000000000000
- Unexposed non-cases d — minimum 0; maximum 1000000000000
Worked example
| Input | Value |
|---|---|
| Exposed cases a | 10 |
| Exposed non-cases b | 20 |
| Unexposed cases c | 5 |
| Unexposed non-cases d | 25 |
Exposed risk =33.33%; unexposed risk =16.67%; relative risk =2.
Assumptions and limits
- Both group totals are positive and the unexposed event risk is nonzero.
- Cells represent comparable groups and the event definition is consistent.
- Confidence intervals, sampling design, and causal interpretation are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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