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 anderson–darling normality test calculator works
A²=−n−(1/n)Σ(2i−1)[ln F(xi)+ln(1−F(xn+1−i))].
The test weights tail discrepancies strongly and should accompany graphical and process-based assessment.
Worked example
Anderson–Darling Normality Test example
Ordered standardized observations are compared with their fitted-normal cumulative probabilities.
A²=−n−(1/n)Σ(2i−1)[ln F(xi)+ln(1−F(xn+1−i))].
Supported inputs
Precision and limits
Model and design
Mean and SD are estimated from the entered data; the displayed p-value uses Stephens’ finite-sample approximation.
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 weights tail discrepancies strongly and should accompany graphical and process-based assessment.
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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