Agriculture Reference
In-Depth Information
Table 10.22
Table of totals for replication
horizontal factor B
b
1
b
2
......
b
k
......
b
n
Total
Mean
R
1
y
y
......
y
......
y
y
y
100
101
102
10
k
10
n
100
R
2
y
y
......
y
......
y
y
y
200
201
202
20
k
20
n
200
:
:
:
:
:
:
:
:
y
i
00
R
i
y
i
01
y
i
02
......
y
i
0k
......
y
i
0
n
y
i
00
:
:
:
:
:
:
:
:
R
r
y
r
01
Y
r
02
......
y
r
0
k
......
y
r
0
n
y
r
00
y
r
00
Total
y
y
......
y
......
y
y
y
000
001
002
00
kj
00
nm
000
Mean
y
001
y
002
y
00
k
y
00
n
Table 10.23
Table of totals for vertical factor A
horizontal factor B
b
1
b
2
......
b
k
......
b
n
Total
Mean
y
010
a
1
y
011
y
012
......
y
01
k
......
y
01
n
y
010
a
2
y
y
......
y
......
y
y
y
020
021
022
02
k
02
n
020
:
:
:
:
:
:
:
:
a
j
y
y
......
y
......
y
y
y
0
j
0
0
j
1
0
j
2
0
jk
0
jn
0
j
0
:
:
:
:
:
:
:
:
a
m
y
0
m
1
y
0
m
2
......
y
0
mk
......
y
0
mn
y
0
m
0
y
0
m
0
y
000
Total
y
001
y
002
......
y
00
k
......
y
00
n
y
000
Mean
y
001
y
002
y
00
k
y
00
n
6. Work out the sum of squares due to vertical
factor A and horizontal factor B interaction.
Table
10.23
(table of totals) is required to be
formed.
vertical factors are worked out by comparing
the respective mean sum of squares against
the mean sum of squares due to error II and
error III, respectively.
8. Calculated
F
-ratios
are
compared with
m
X
n
k¼
1
y
at appropriate level of
significance and degrees of freedom.
9. Once the
tabulated value of
F
1
r
2
TSS Table III
ð
Þ ¼
0
jk
CF
j¼
1
-test becomes significant, our next
task will be to estimate the SEs for different
types of comparison as given below:
(a) Standard error for difference between two
replication means
F
SS AB
ðÞ¼
TSS
ð
Table III
Þ
SS
ð
A
Þ
SS
ð
B
Þ
q
2ErMS
-
I
mn
SS Error III
ð
Þ ¼
TSS
RSS
SS A
ðÞ
and the
corresponding LSD value will
¼
SS B
ðÞ
SS AB
ðÞ
ErSS I
ErSS II
be
q
2ErMS
-
I
mn
t
2
;
error
Id
:
f
:
.
(b) Standard error for difference between two
vertical plot treatment means
LSD
α
¼
Mean sum of squares is calculated by dividing
the sum of squares by the corresponding
degrees of freedom (Table
10.24
).
q
2ErMS
-
I
rn
¼
7.
F
-ratios for replication and vertical factor
effects are obtained by comparing the replica-
tion mean sum of squares against the mean
sum of squares due to error I. On the other
hand, the
and the corresponding LSD value will be
LSD
α
¼
q
2ErMS
-
I
rn
t
2
;
error
Id
:
f
:
.
(c) Standard error
for difference between
-ratios corresponding to horizontal
factor and interaction between horizontal and
F
two
horizontal
plot
treatment
