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The F-test is designed to test if two population variances are equal. It compares the ratio of two variances. If the variances are equal, the ratio of the variances will be 1.

The F-test provides the basis for ANOVA which can compare two or more groups.

  • One-way (or one-factor) ANOVA: Tests the hypothesis that means from two or more samples are equal.
  • Two-way (or two-factor) ANOVA: Simultaneously tests the hypothesis that the means of two variables from two or more groups are equal.
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Q: Are F-test and ANOVA the same in statistics?
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