Welch ANOVA Test for Unequal Variances without data.
Updated 2 May 2013

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The ANOVA F-test to compare the means of k normally distributed populations is not applicable when the variances are unknown, and not known to be equal. A spacial case, k=2, is the famous Behrens-Fisher problem (Behrens, 1929; Fisher, 1935). Welch (1951) test was proposed to fill this void, a generalization to his 1947 previous paper (Welch, 1947).

This m-file works without all the data samples. But only with the size, mean and variance samples.

Syntax: function welchanova(x,alpha)

x – data nx2 matrix (Col 1 = data; Col 2 = sample code)
alpha - significance level (default=0.05)

- Summary statistics from the samples
- Decision on the null-hypothesis tested

Cite As

Antonio Trujillo-Ortiz (2024). welchanovawd (https://www.mathworks.com/matlabcentral/fileexchange/37123-welchanovawd), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2010a
Compatible with any release
Platform Compatibility
Windows macOS Linux

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Version Published Release Notes

We improve the code. Thanks to Dr. Jürgen Kayser, Department of Psychiatry, Columbia University Research Scientist, Cognitive Neuroscience, New York State, who suggest us to remove a bug.

It was added an appropriate format to cite this file.