Analysis of variance

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Analysis of Variance (ANOVA) is a statistical method used to test differences between two or more means. It may seem odd that the technique is called "Analysis of Variance" rather than "Analysis of Means."

Pronunciation

/əˈnælɪsɪs ɒv vɛərɪəns/

Etymology

The term "Analysis of Variance" was coined by the English statistician Ronald Fisher in the 1920s.

Definition

ANOVA is a statistical inference test that allows you to compare multiple groups at the same time. It tests the hypothesis that the means among the groups are equal and that the variances inside each of the groups are the same.

Types of ANOVA

There are two types of ANOVA:

  1. One-way ANOVA: It is used to test for differences among at least three groups, as they relate to one independent variable.
  2. Two-way ANOVA: It tests for differences among groups that are split on two independent variables.

Related Terms

  • F-test: The F-test in ANOVA is used to assess whether the variances of groups are equal.
  • Null hypothesis: In the context of ANOVA, the null hypothesis is that there is no difference in means.
  • Post-hoc tests: These are statistical tests that are used in conjunction with ANOVA to identify which specific groups differed.

See Also

External links

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