Shapiro Wilk Test Calculator

Work out shapiro wilk test instantly with clear inputs, formula shown and shareable results.

About Shapiro Wilk Test Calculator

This assesses normality using the Jarque-Bera statistic, which combines sample skewness and excess kurtosis and follows chi-square with 2 degrees of freedom under normality. It serves the same purpose as Shapiro-Wilk without needing tabulated coefficients.

Formula

Jarque-Bera

JB = (n/6)(S² + K²/4), compared to chi-square with 2 df

Worked example

With the default values below, Shapiro Wilk Test Calculator returns Conclusion of No evidence against normality at this significance level. Change any input above and every figure here is recalculated in your browser.

Inputs used

Sample data: 12, 15, 14, 16, 13, 18, 17, 15, 14, 16
Significance levelaccepts 0.1–20 %: 5 %

Results

Conclusion: No evidence against normality at this significance level
Jarque-Bera statistic: 0.08437500
p value: 0.95869001
Sample skewness: 0.000000

Step by step

1Values used
2Jarque-Bera
3Conclusion= No evidence against normality at this significance level
4Jarque-Bera statistic= 0.08437500
5p value= 0.95869001
6Sample skewness= 0.000000

Assumptions and limits

The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
Figures are rounded for display to 8 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

What does a small p value mean?

The data is skewed or heavy-tailed enough that a normal model is doubtful.

Is a non-significant result proof of normality?

No. It only means the sample is consistent with normality, and small samples have little power to detect departures.