Yates's and Other Sums of Squares
  It is shown that the sum of squares by Yates's method of weighted squares of means is equivalent to numerator sums of squares formulated by other methods. These relations are established first for hypotheses about fixed effects in a general linear model, in the process showing how Yates's method can be extended. They are then illustrated in the unequal-subclass-numbers model for main effects and interaction effects of two factors. 
Lynn R. LaMotte
stat.ME