Shapiro-Wilk and Shapiro-Francia normality tests.

Version 1.1.0.0 (8.83 KB) by Ahmed BenSaïda
Shapiro-Wilk & Shapiro-Francia parametric hypothesis test of composite normality.
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Updated 18 Jun 2014

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Shapiro-Wilk parametric hypothesis test of composite normality, for sample size 3<= n <= 5000. Based on Royston R94 algorithm.
This test also performs the Shapiro-Francia normality test for platykurtic samples.

Cite As

Ahmed BenSaïda (2026). Shapiro-Wilk and Shapiro-Francia normality tests. (https://au.mathworks.com/matlabcentral/fileexchange/13964-shapiro-wilk-and-shapiro-francia-normality-tests), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R14
Compatible with any release
Platform Compatibility
Windows macOS Linux
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Version Published Release Notes
1.1.0.0

- Improved precision for sample size = 3;
- Added detailed references;
- Removed the TAIL option (not needed);
- Minor bug fixes.
1.0.0.0

Change the value in line 136 to 0.26758 instead of 0.026758 (Shapiro-Francia) to correct the significance level. Thanks to Kent Parsons for his remarks.