Calculuating the sum of squares for the full and reduced model

The application of the least squares method (LSM) to the full and reduced model results in several computational formulas which are importand in by-hand calculations as well as in building statistical software.

We follow the tradition of presenting the case of equal number of replications first, followed by a modified presentation of unequal number of replications. It is typical that unequal replication number is a result of a loss of a sample.