Agriculture Reference
In-Depth Information
Table 10.19
Table totals for main plot
subplot
b
1
b
2
......
b
k
......
b
n
Total
Mean
a
1
y
y
......
y
......
y
y
y
010
011
012
01
k
01
n
010
a
2
y
y
......
y
......
y
y
y
020
021
022
02
k
02
n
020
:
:
:
:
:
:
:
:
y
0
j
0
a
j
y
0
j
1
y
0
j
2
......
y
0
jk
......
y
0
jn
y
0
j
0
:
:
:
:
:
:
:
:
a
m
y
y
......
y
......
y
y
y
0
m
0
0
m
1
0
m
2
0
mk
0
mn
0
m
0
Total
y
y
......
y
......
y
y
y
000
001
002
00
k
00
n
000
Mean
y
001
y
002
y
00
k
y
00
n
6.
F
-ratio for replication and main plot factors
are obtained by comparing the respective
mean sum of squares against mean sum of
squares due to error I. On the other hand,
the
(d) LSD for difference between two subplot
treatment means at the same level of main
plot treatment
q
2ErMSII
r
t
2
;
errorII d
:
f
:
.
(e) SE for difference between two main plot
treatment means at the same or different
levels
¼
-ratios corresponding to subplot factor
and the interaction effects are worked out
by comparing the respective mean sum of
squares against the mean sum of squares due
to error II.
7. Calculated
F
of
subplot
treatment
¼
q
2
½ðn
1
Þ
ErMS
-
II
þ
ErMS
-
I
rn
, but the ratio of the
treatment mean difference and the above
SE does not follow
F
-ratios
are
compared with
t
distribution. An
at appropriate level of
significance and degrees of freedom.
8. Once the
tabulated value of
F
approximate value of
is given by
t ¼
t
1
ErMS
-
I
þt
2
ðn
1
Þ
ErMS
-
II
t
t
2
are tabulated values at error I and error
II degrees of freedom, respectively, at
the chosen significance level and the
corresponding CD value
, where
t
1
and
ErMS
-
I
þðn
1
Þ
ErMS
-
II
-test becomes significant, the next
task will be to estimate the standard errors
(SE) for different
F
types of comparison as
given below:
(a) LSD for difference between two replica-
tion means
could
be
q
2ErMS
-
I
mn
CD
α
¼
SE
d
tð
cal
Þ
.
t
2
;
error
Id
:
f
:
.
(b) LSD for difference between two main plot
treatment
means
¼
Example 10.17.
Three different methods of till-
age and four varieties were tested in a field
experiment using split plot design with tillage
as main plot factor and variety as subplot factor.
Yield (t/ha) are recorded from the individual
plots and given below. Analyze the data and
draw your conclusion.
q
2ErMS
-
I
rn
t
2
;
error
Id
:
f
:
.
(c) LSD for difference between two subplot
treatment
means
¼
q
2ErMS
-
II
rm
¼
t
2
;
error
II d
:
f
:
.
Tillage
Tillage 1
Tillage 2
Tillage 3
Variety
V
1
V
2
V
3
V
4
V
1
V
2
V
3
V
4
V
1
V
2
V
3
V
4
Rep -1
8.7
9.1
7.8
7.2
9.5
12.6
11.2
9.8
7.5
9.5
8.2
7.9
Rep -2
8.6
9.2
7.9
7.3
9.4
12.5
11
9.6
7.6
9.8
8.4
8
Rep -3
8.5
9.3
8.2
7.4
9.6
12.3
10.9
10
7.4
9.7
8.5
8.1
