We now sweep out these values from the plot values in the corresponding blocks (note that we are
sometimes subtracting negative numbers, e.g. -23 -(-22) = : 62 -(-22) = +84 )


Mean


-28 -1 +41 +4
+92 +84 +106 +94
 -8 +24 -84 -23
 -48 +29 -79 -33
 -78 -146 +11 -71
+17 -6 -4 +2
+67 +14 -34 +16
-13 -1 +46 +11


The sum of squares of these residuals = 82293,
and the change from the total SS is
the block sum of squares = 7658.

Finally we calculate the means for each treatment as shown above and sweep these from the residuals to
give the final residuals:


-32 -5 +37
 -2 -10 +12
+15 +47 -61
-15 +62 -46
 -7 -75 +82
+15 -8 -6
+51 -2 -50
-24 -12 +35


Notice that because we have swept out
the effects of blocks and treatments
the block and treatment totals of these
residuals are all zero (apart from
rounding error).


The sum of these final residuals is the error SS = 34779.
and the change from the previous sum of squares is the Treatment sum of squares = 47514