
Chapter 12
PB
Analysis of Variance and Experimental Designs
433
SST (total sum of squares of errors) =
ij
j
c
i
r
−
==
∑∑
2
11
(.)( .) (.)(.)
(.)
24 26 822268 23 26 832268
31 26 8
22
2
−+−+−+⋅⋅⋅+ −
+− ++−
⎡
⎢
⎤
⎥
(.)32 26 8
2
= 200.40
MSC
SSC
=
=
=
183 066
45 766
.
.
MSR
SSR
=
=
52
52
..
.
MSE
SSE
=
=
=
12 1333
1 5166
.
.
F
treatmentcolumns()
.
.== =
MSC
45 766
30 17
F
blocks rows()
.
.== =
MSR
26
171
The ANOVA summary table for Example 12.2 is shown in Table 12.11.
TABLE 12.11
ANOVA Summary table for Example 12.2
Source of variation Sum of
squares
Degrees of freedom Mean squares F Value
Sum of squares
between columns
SSC
5 – 1 = 4 MSC = 45.766
F
treatmen ...