I am learning about the ANOVA test. This involves the Fisher-distribution. I know there is the
ANOVA function and the
FRatioDistribution. Both work well. What I am after is better understanding of the usage of the Fisher distribution.
In Wikipedia Fisher-distribution in chapter Characterization there is the equation that uses the Chi² distribution to express the Fisher distribution. I tried to do this, for learning purposes, also in Mathematica by this code:
fF[m_, n_, x_] := PDF[ChiSquareDistribution[m], x]/ m/(PDF[ChiSquareDistribution[n], x]/n)
That does not lead to the same results as
FRatioDistribution. Is my Chi² representation coded wrong or do I have the wrong expections?