Quick guide
How to use this calculator
- Enter the observations, probabilities, model parameters, or summary statistics requested by the visible labels.
- Keep every value on the same scale and confirm that the selected sampling relationship, distribution, and tail convention match the question you are investigating.
- Read the result together with its assumptions and interpretation. Statistical output summarizes uncertainty under a model; it does not repair biased data or establish causation.
Calculation method
How the fisher’s exact test calculator works
Table probability follows the hypergeometric distribution under fixed margins.
The test evaluates association, while the odds ratio and its interval describe direction and magnitude.
Worked example
Fisher’s Exact Test example
A table with cells 1, 9, 11, 3 yields an exact association p-value without expected-count approximation.
Table probability follows the hypergeometric distribution under fixed margins.
Supported inputs
Precision and limits
Model and design
Observations must be independent and the sampling scheme must justify the chosen conditional interpretation.
Numerical scope
Inputs use double-precision numerical methods with guarded domains. Datasets accept up to 10,000 finite plain-decimal values. Extremely large parameters or probabilities deep in a numerical tail may require specialist statistical software.
Interpretation
The test evaluates association, while the odds ratio and its interval describe direction and magnitude.
Decision boundary
The calculator does not validate how data were collected, diagnose dependence or bias, choose a scientifically meaningful effect, or replace review by a qualified statistician for consequential research, medical, regulatory, safety, or policy decisions.
Privacy
Entered values and calculated results stay in this browser and are not sent to an analytics service.
Continue calculating