# Statistical Tests

## Analysis of Variance (ANOVA)

Limitation of ANOVA test, the test will tell you that at least two groups were different from each other. But it won’t tell you which groups were different. Therefore, if your test returns a significant f statistic, you may need to run a post hoc test to tell you exactly which groups had a difference in mean. On the other hand, if you do not have a statistically significant result, you would not perform any further follow-up tests (post hoc test) because there is no difference between groups.

## Multivariate Analysis of Variance (MANOVA)

Limitation of MANOVA test, the test will tell you that at least two groups were different from each other. But it won’t tell you which groups were different. Therefore, if your test returns a significant f statistic, you may need to run a post hoc test to tell you exactly which groups had a difference in mean. On the other hand, if you do not have a statistically significant result, you would not perform any further follow-up tests (post hoc test) because there is no difference between groups.

## Multivariate Analysis Of Covariance (MANCOVA)

Limitation of MANCOVA test, the test will tell you that at least two groups were different from each other. But it won’t tell you which groups were different. Therefore, if your test returns a significant f statistic, you may need to run a post hoc test to tell you exactly which groups had a difference in mean. On the other hand, if you do not have a statistically significant result, you would not perform any further follow-up tests (post hoc test) because there is no difference between groups.