total of each treatment (Table III-4).


Example:


Total factorial
p = (PI No Vo)
 = -8.2 + 10.4
 = 11.1

Total factorial
pn = 8.2 10.4
 = 3.3


effect for (p):

- 9.9 12.3 +...+ 17.4



effect for (pn) is:
- 9.9 +...+ 17.4


Step 3. In the analysis of variance (Table III-5), since
there are 16 observations (eight treatments and two
replications), the square of the total of each factorial
effect is divided by 16 to obtain the sum of squares (SS)
for each treatment.

Example: SS for (p) = (11.1)2 / 16
 = 7.7

 The total sum of squares (SStot), the sum of squares
for blocks (SSB), and the sum of squares for the error
(SSE) are calculated in the usual form.


TABLE 111-4.


Calculation of the total factorial effect
in the 23 factorial with two
replications.


 Treatment combination:
 code and total yield (kg)
Factorial (1) p n v pn pv nv pnv total
effect 8.2 10.4 9.90 12.3 13.1 14.0 13.4 17.4 98.7
M + + + + + + + +
P + + + + 11.1
N + + + + 8.9
V + + + + 15.5
PN + + + + 3.3
PV + + + + 0.3
NV + + + + 0.1
PNV + + + + 1.3