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Anderson–Darling normality calculator

Paste one sample and compare the statistic, p-value and QQ plot.

Approximate p-value: —

Fill in the fields above — the result is computed on this page.

Observations
—
Shapiro–Francia W′
—
Approximate p
—
Anderson–Darling A²*
—
Anderson–Darling p
—
QQ correlation
—

Normal QQ plot

Inspect departures from the line.

Ordered quantiles

Order Theoretical Observed
Fill in the fields above — the result is computed on this page.
What do these numbers mean?
  • Use the p-value and plot together.
  • Check unusual observations.

The p-value is an approximation and does not validate independence or the sampling plan.

How do I use this page?
  1. Paste values.
  2. Inspect the statistic and plot.

What this page does not do: The p-value is an approximation and does not validate independence or the sampling plan.

Further reading

Theory — what does the Anderson–Darling test check?

The calculator takes a single data sample and reports the test statistic, the p-value and a QQ plot against the fitted normal distribution. The Anderson–Darling test gives more weight to discrepancies in the tails of the distribution than simpler comparisons, so it better catches deviations at the extremes of the data. A small p-value means the sample is hard to reconcile with the fitted normal distribution — a signal the data may not be normal, not proof of any particular cause.

Frequently asked questions

What does a small p-value mean?
The sample is difficult to reconcile with a fitted normal distribution.

See also

← All calculators

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