SStot = [(3.42)2 + (2.87)2 +...+ (5.38)2 + (5.20)2] CF
 = 29.17
 = (Ey2)total

 SSE = 29.17 (8.47 + 10.44)
 = 10.26
 = (Ey2)error

Step 4. The third ANOVA is for the cross-product XY of
each corresponding cell of Step 1, to get the Zxy values:

 CF = (1310 X 95.67) / 24
 = 5221.99

 (Exy)T = {[(241X19.43) +...+ (224X16.09)] / 4} CF
 = 34.06


(Exy)B = {[(318 X 18.34)+...+(324 X 29.51)]
 = 8.96


(Zxy) tot =


/ 6} CF


{[(60 X 3.42) + (47 X 2.87)+...
 +(61 X 5.20)]} CF


= 110.80


(Zxy)error


= 110.80 (34.06+8.96)
= 67.78


Step 5. Perform the analysis of covariance.


Source of Deviations
variation from regression
 d.f. Zx2 Exy Ey2 d.f. SS MS Fc

Total 23 1999.83 110.80 29.17
Blocks 3 372.50 8.96 10.44
Cultivars 5 561.33 34.06 8.47
Error 15 1066.00 67.78 10.26 14 5.95 0.43
Cultivars
+ error 20 1627.33 101.84 18.73 19 12.36

Adjusted means 5 6.41 1.28 2.98
Note: SS = sum of squares
 MS = mean squares