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ANOVA stands for ANalysis Of VAriance, a statistical model and set of procedures for comparing multiple group means. The independent variables in an ANOVA model are categorical, but an ANOVA table can be used to test continuous variables as well.
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How to find P(X > F) in ANOVA F-test?
Since the test statistics follows F-ratio distribution, the $\mathbb{P}(X>z)$ is known in closed form.
Let $X \sim F(n,m)$. Then
$$
\mathbb{P}(X > z) = \tilde{B}_{\frac{m}{m+ n z}}\left( \frac{m} …