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 independence checker calculator works
A and B are numerically independent when P(A∩B)=P(A)P(B).
Agreement is consistency with independence in the entered probability model; sample estimates alone do not prove population independence.
Worked example
Independence Checker example
P(A)=0.5, P(B)=0.4, and P(A∩B)=0.2 exactly satisfy the product rule.
A and B are numerically independent when P(A∩B)=P(A)P(B).
Supported inputs
Precision and limits
Model and design
The three probabilities must be mutually feasible; equality is checked with a small numerical tolerance disclosed in the output.
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
Agreement is consistency with independence in the entered probability model; sample estimates alone do not prove population independence.
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.
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