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Even though ANOVA is comparing means of different groups, we use the F to test our...

Even though ANOVA is comparing means of different groups, we use the F to test our hypotheses. So why do we do this?

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Answer:-

From the above information

In ANOVA when we comparing means of different groups , we use F test ,our hypothesis we test

Ho:Groups means are equal . V/s. H1:- at least one group means are different.

Test statistic is , F =mean squares of given groups/ mean square due to error

In different formats , F = explained variation/ unexplained variation

Hence , in the case of Anova we used to test differences Among two or more independent means , When there are only two means to compare we use t or f test but when we want to compare two or more than two then we use ANOVA technique.

So we do F test in ANOVA because equality of variance is used to test , with the help of F we talk about variation among the group

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