How does the Shapiro Wilk Calculator work?

Test statistic W = (Σ ai X(i))² / Σ(Xi - X̄)² Then: W close to 1: normal; W far from 1: non-normal Then: Best for small-medium samples (n < 5000) Then: p-value: reject normality if p < 0.05.

Can you give an example of how to use the Shapiro Wilk Calculator?

Example: Input Normality test data gives a result of SW statistic.

Is the Shapiro Wilk Calculator free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Shapiro Wilk Calculator?

Our Shapiro Wilk Calculator uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

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Shapiro Wilk Calculator

Shapiro-Wilk Test

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Applies Shapiro-Wilk test specifically for testing normality. Most powerful normality test.

Symbol	Name	Unit	Description
W	(Σ ai X(i))² / Σ(Xi - X̄)²	—	(Σ ai X(i))² / Σ(Xi - X̄)²
X	X value	—	Variable used in the calculation
Xi	Xi value	—	Variable used in the calculation

Difficulty:intermediate

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Did You Know?

Shapiro-Wilk test most widely used for normality testing in statistics software.

References

›Shapiro-Wilk Test

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Shapiro Wilk Calculator

Shapiro-Wilk Test

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