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Shapiro–Wilk 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 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 to 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

The calculation uses expected normal scores and a documented large-sample approximation to the Shapiro–Wilk family.

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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