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Odds Ratio from a Two-by-Two Table Calculator — result sheet
Calculate the odds ratio and its natural logarithm from four cells in a two-by-two comparison table.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Odds ratio=(a×d)/(b×c); log odds ratio=ln(odds ratio).
The odds ratio compares case odds between two groups; it is a table association measure rather than a risk ratio.
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 1.0E-6; 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 |
Odds ratio =2.5; log odds ratio ≈0.9163.
Assumptions and limits
- The four cells are nonnegative counts or compatible frequencies.
- The two denominator cells b and c are positive.
- Confidence intervals, causal interpretation, and zero-cell corrections 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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