Degrees of freedom F test

Find the degrees of freedom for a particular F test below:


TestDegrees of freedom numeratorDegrees of freedom denominator
One way ANOVA $F$ test$I - 1$.
Here $I$ is the number of groups.
$N - I$.
Here $N$ is the total sample size and $I$ is the number of groups.
Two way ANOVA $F$ test $F$ test for main and interaction effects together (model):
  • $(I - 1) + (J - 1) + (I - 1) \times (J - 1)$
$F$ test for main effect A:
  • $I - 1$
$F$ test for main effect B:
  • $J - 1$
$F$ test for the interaction effect:
  • $(I - 1) \times (J - 1)$
Here $I$ is the number of groups for independent variable A and $J$ is the number of groups for independent variable B.
$N - (I \times J)$.
Here $N$ is the total sample size, $I$ is the number of groups for independent variable A, and $J$ is the number of groups for independent variable B.
$F$ test for complete regression model (OLS)$K$.
Here $K$ is the number of independent variables in the model.
$N - K - 1$.
Here $N$ is the sample size and $K$ is the number of independent variables in the model.