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I understand that one way ANOVA tells me that at least two groups are different from...

I understand that one way ANOVA tells me that at least two groups are different from each other, however it doesn't tell me which groups are different. If the results of my ANOVA were to return a significant f-statistic, how do I determine which ad hoc test I need to run to tell me exactly which groups have a difference in means?

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If the results of a ANOVA test returns a significant f-statistic. Then there are different post hoc test to determine with means are different.

One of the such test is Fisher's LSD test.

The test statistic statistic is improved by using MSE.

if , we can conclude that and are different. we can check this for all pairs of mean.

Here LSD =

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