PROPHET StatGuide: One-way analysis of variance (ANOVA)

One-way analysis of variance (ANOVA) is used to test the null hypothesis that multiple population means are all equal.


A one-way analysis of variance (ANOVA) tests whether any of the population means differ from each other. A multiple comparisons test may be used to answer the question of which population means differ from which other means, a question the ANOVA itself will not answer.


To properly analyze and interpret results of one-way analysis of variance (ANOVA), you should be familiar with the following terms and concepts:

Failure to understand and properly apply one-way analysis of variance (ANOVA) may result in drawing erroneous conclusions from your data. If you are not familiar with these terms and concepts, you are advised to consult with a statistician. Additionally, you may want to consult the following references:

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Last modified: February 21, 1997

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