introductory econometrics

The F-statistic for a test of multiple linear restrictions is a staple of introductory econometrics courses. In the simplest case, it can be written as \[F \equiv \frac{(SSR_r - SSR_{u})/q}{SSR_{u} / (n - k - 1)}\] where \(SSR_r\) is the restricted sum of squared residuals, \(SSR_{u}\) is the unrestricted sum of squared residuals, \(q\) is the number of restrictions, and \((n - k - 1)\) is the degrees of freedom of the unrestricted model.