TABLE III-7. ANOVA for maize "plus" trial.

Source of d.f. SS MS Fc
variation

Blocks 1 0.98 0.98 3.3 NS
Treatments 3 4.27 1.423 4.8 NS
Error 3 0.89 0.2967

Total 7 6.14
C.V. = 10.68 %

 CF = [(40.8)2] / 8
 = 208.08

 SSB = {[(19.0)2 + (21.8)2] / 4} CF
 = 209.06 208.08
 = 0.98

 SST = {[(8.2)2 +...+ (12.3)2] / 2} CF
 = 212.35 208.08
 = 4.27

 SStot = [(4.3)2 +...+ (6.6)2] CF
 = 214.22 CF
 = 6.14

 SSE = SStot [SSB + SST]
 = 6.14 (0.98 + 4.27)
 = 0.89

The analysis of variance does not show significant
differences at the 5% level, although it is very close to
being significant at the 10% level. It seems unlikely
with such a low C.V. value that no significant difference
has been detected when there is a 50% increase in yield
when the new variety is used. This is the type of problem
encountered in performing ANOVA when the number of degrees
of freedom for the error is small, making the Fc values
high and difficult to surpass. One solution would have
been to increase the number of replications to five to
obtain more degrees of freedom for the error.