Agriculture Reference
In-Depth Information
ANOVA
Source of variation
d.f.
SS
MS
F
P
value
F
crit
Replication
3
1.8011
0.6004
4.1221
0.0256
3.2874
Insecticides
5
7.2037
1.4407
9.8917
0.0002
2.9013
Error
15
2.1848
0.1457
Total
23
11.1896
The LSD value at 5% level of significance
is given by
treatment, recording the lowest number of insects
per 20 insects, and insecticides 2 and 3 are at par
with insecticide 1. On the other hand, insecticide
6 has produced maximum input per 20 insects.
r
2ErMS
r
LSD ð 0 : 05 Þ ¼
t 0 : 025 ; 21
r
2
r
2ErMS
r
0
:
1457
¼
2
:
131
¼
0
:
5751
:
4
LSD ð 0 : 05 Þ ¼
t 0 : 025 ; 21
r
2
1
:
686
Insecticides Transformed means
I1 1.5645
I2 2.0422
I3 2.0602
I4 2.3547
I5 2.9136
I6 3.1791
Arranging the treatment means in ascending
order, we find that
¼
2
:
131
¼
1
:
957
:
4
insecticide 1 is the best
ANOVA with original data
Summary
Count
Sum
Average
Variance
I1
4
12
3.0000
2.6667
I2
4
14
3.5000
3.0000
I3
4
23
5.7500
0.9167
I4
4
16
4.0000
0.6667
I5
4
32
8.0000
0.6667
I6
4
42
10.5000
1.6667
Replication 1
6
31
5.1667
15.7667
Replication 2
6
36
6.0000
5.6000
Replication 3
6
37
6.1667
8.5667
Replication 4
6
35
5.8333
9.7667
ANOVA
Source of variation
SS
d.f.
MS
F
P value
F crit
Rows
173.208
5.000
34.642
20.545
0.000
2.901
Columns
3.458
3.000
1.153
0.684
0.576
3.287
Error
25.292
15.000
1.686
Total
201.958
23.000
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