wanova

version 1.0.1.0 (2.2 KB) by Andrew Penn
Performs Welch's alternative to one-way analysis of variance (ANOVA).

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Updated 30 Aug 2022

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% Function File: [p, F, df1, df2] = wanova (y, g)
%
% Perform a Welch's alternative to one-way analysis of variance
% (ANOVA). The goal is to test whether the population means of data
% taken from k different groups are all equal. This test does not
% require the condition of homogeneity of variances be satisfied.
% For post-tests, it is recommended to run the function 'multicmp'.
%
% Data should be given in a single vector y with groups specified by
% a corresponding vector of group labels g (e.g., numbers from 1 to
% k). This is the general form which does not impose any restriction
% on the number of data in each group or the group labels.
%
% Under the null of constant means, the Welch's test statistic F
% follows an F distribution with df1 and df2 degrees of freedom.
%
% The p-value (1 minus the CDF of this distribution at F) is
% returned in the p output variable.
%
% Bibliography:
% [1] Welch (1951) On the Comparison of Several Mean Values: An
% Alternative Approach. Biometrika. 38(3/4):330-336
% [2] Tomarken and Serlin (1986) Comparison of ANOVA alternatives
% under variance heterogeneity and specific noncentrality
% structures. Psychological Bulletin. 99(1):90-99.

Cite As

Andrew Penn (2022). wanova (https://www.mathworks.com/matlabcentral/fileexchange/61661-wanova), MATLAB Central File Exchange. Retrieved .

MATLAB Release Compatibility
Created with R2007a
Compatible with any release
Platform Compatibility
Windows macOS Linux
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