Agriculture Reference
In-Depth Information
Vertical plot (manure)
M1
M2
M3
Horizontal plot
(irrigation)
I1
I2
I3
I4
I1
I2
I3
I4
I1
I2
I3
I4
R1
11.2
10.2
14.5
12.3
11.8
10.9
16.2
13.5
11
9.5
12.5
10.6
R2
11.3
10.5
14.6
12.5
11.9
10.8
16.5
13.8
10.9
9.8
12
10.8
R3
11.5
10.4
14.2
12.8
11.6
10.7
16.6
13.9
10.5
9.7
12.4
10.7
Hypothesis to Be Tested
3. Work out the sum of squares due to vertical
factor A and replication. The following table
of totals is required to be framed:
H
0
:γ
1
¼ γ
2
¼ γ
3
¼
0
;
α
1
¼ α
2
¼ α
3
¼
;
β
1
¼ β
2
¼ β
3
¼ β
4
¼
0
4
X
X
3
3
1
;
αð
11
¼ αð
12
¼¼ αð
jk
¼
¼ αð
34
¼
0
2
ij
TSS Table I
ð
Þ¼
1
y
CF
0
i¼
1
j¼
¼
5279
:
09
5246
:
588
¼
32
:
502
0
:
4
X
3
i¼
1
y
1
3
2
i
00
Replication SS
¼
CF
H
1
:γ
's are not all equal
;
:
α
's are not all equal,
2
2
4
2
145
2
144
:
þ
145
:
þ
¼
's are not all equa,
ðαβÞ
β
12
's are not all equal
:
5246
:
588
¼
0
:
062
Let the level of significance be 0.05.
First we construct three two-way tables of
totals for replication
3
X
3
1
4
2
0
SS A
ðÞ¼
1
y
CF
irrigation, and manure
irrigation. The step-
by-step procedure for computation of different
sums of squares and mean sum of squares is
given as follows:
1. Grand total =
P
manure, replication
j
0
:
j¼
146
2
2
2
4
2
þ
158
:
þ
130
:
¼
5246
:
588
12
¼
32
:
362
P
P
3
3
4
k¼
1
y
ijk
¼
GT
¼
11
:
2
þ
SS Error I
ð
Þ¼
TSS
ð
Table I
Þ
RSS
SS
ð
A
Þ
i¼
1
j¼
1
10
:
2
þþ
12
:
4
þ
10
:
7
¼
434
:
6
:
¼
32
:
502
0
:
062
32
:
362
ð
Þ¼
¼
0
:
078
2. Correction factor
CF
GT
2
3
6
2
36
¼
434
:
3
¼
5246
:
488
:
4. Work out the sum of squares due to horizontal
factor B and replication. The following table
of totals is required to be framed:
:
4
:
Table I
Table of totals for replication
manure
M1
M2
M3
Total
Average
R1
48.200
52.400
43.600
144.200
12.017
R2
48.900
53.000
43.500
145.400
12.117
R3
48.900
52.800
43.300
145.000
12.083
Total
146.000
158.200
130.400
Average
12.167
13.183
10.867
