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What is the logic behind the ANOVA analysis? When and why should we use it instead...

What is the logic behind the ANOVA analysis? When and why should we use it instead of the T-tests that seem to be much easier to do?

(Question is related to lean six sigma)

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Answer #1

Analysis of Variance is a hypothesis test that is used to compare the means of three or more independent groups.Even though logic behind ANOVA and T-tests are similar we use ANOVA instead of T-tests because T-test can compare only two means at a time where as ANOVA has no such restictions.ANOVA mostly focus on comparing the amount of variation between groups with the amount of variation within each group.An F statistic is obtained as a result of this comparison and we compare this F statistic with critical F statistic value inorder to reach conclusion.A greater value of F statistic value means there is more variance between group than variance within group hence we rject null hypothesis.

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