# What is the point of a permutation F-test when all you need is one F-test for one-way ANOVA?

Say you have three groups, and each group has 5 observations.

You can figure out if there is a significant difference between means with a simple one-way ANOVA.

I read in my nonparametric book, one can also permute the observations and conduct a permutation F-test. If $$n_i = 5$$, then the number of permutations is $$\binom{15}{5,5,5} =756756$$ permutations -- you need to calculate the F-value 756756 different times.

What is the point of doing a permutation F-test? Is it more accurate than a normal F-test???