Degrees of freedom F test
Find the degrees of freedom for a particular F test below:
Test | Degrees of freedom numerator | Degrees 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):
|
$N - (I \times J)$. 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. |