I read in a paper that for an ANOVA table, it is sufficient to only look at the sum of squares and mean square columns. The paper contained an ANOVA table that tested 4 factors up to a 4-way interaction term. The table is as follows for variable factors $X,Y,Z,W$:
\begin{array}{|lrrr|} \hline Value & Df & Sum Sq & Mean Sq \\ \hline X & 2 & 2.66 & 1.45 \\ Y & 2 & 2.45 & 1.43 \\ Z & 2 & 1.31 & 0.44 \\ W & 2 & 0.01 & 0.01 \\ X:Y & 4 & 0.99 & 0.32 \\ X:Z & 4 & 0.60 & 0.15 \\ Y:Z & 4 & 0.66 & 0.17 \\ X:W & 4 & 0.01 & 0.005 \\ Y:W & 4 & 0.05 & 0.01 \\ Z:W & 4 & 0.00 & 0.00 \\ X:Y:Z & 8 & 0.34 & 0.12 \\ X:Y:W & 8 & 0.02 & 0.00 \\ X:Z:W & 8 & 0.00 & 0.00 \\ Y:Z:W & 8 & 0.00 & 0.00 \\ X:Y:Z:W & 16 & 0.00 & 0.00 \\ \hline \end{array}
I am wondering how I can interpret the above values using the sum of squares column? What can we generally say if the sum of squares for a factor is many times larger than another factor? I am having difficulty interpreting this as it involves interactions.