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 kolmogorov–smirnov test calculator works
D=max(D+,D−); p uses the Kolmogorov asymptotic distribution.
The largest CDF gap shows model mismatch but not where the model should be changed.
Worked example
Kolmogorov–Smirnov Test example
A sample can be compared with a normal model whose mean and SD were specified independently.
D=max(D+,D−); p uses the Kolmogorov asymptotic distribution.
Supported inputs
Precision and limits
Model and design
Mean and SD must be fixed independently of these data; estimated parameters require a Lilliefors-type calibration not provided here.
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 largest CDF gap shows model mismatch but not where the model should be changed.
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