I recently started learning ANOVA. I've explored the ANOVA table and how the values within the table are calculated (factors, sum of squares, degrees of freedom, mean square, F-value, P-value, etc.). I've also read about the concept of a "full" versus "reduced" model. However, the only (very brief) explanation I got was that the "full" model "separates" the group means, whilst the "reduced" model combines them into a single mean.
I found this explanation of "full" versus "reduced" models to be lacking and, as a result, am thoroughly confused as to what the "full" and "reduced" models are, what they mean, and how one would calculate them.
I would greatly appreciate it if people could please take the time to give an explanation of this concept for a beginner such as myself.
P.S. I have also been doing lots of practice problems using the
aov() function in r, so if someone wants to explain using r, then that is fine with me.