Agriculture Reference
In-Depth Information
The transformed data are presented in the
following table:
The analysis of variance with transformed
data per the analysis of two classified data
given in the analysis of variance table at 5%
level of significance will be as follows:
Variety Replication 2 Replication 3 Replication 1
V1
43.85
51.94
47.87
V2
34.45
31.95
28.66
V3
58.05
56.79
60.00
V4
69.73
67.21
68.03
V5
77.08
73.57
71.57
V6
24.35
25.10
22.79
V7
25.10
26.57
23.58
V8
54.33
55.55
53.73
ANOVA
SOV
d.f.
SS
MS
F
P
value
F
critical
Replication
2
11.4088
5.7044
1.1204
0.3537
3.7389
Variety
7
7814.2733
1116.3248
219.2512
0.0000
2.7642
Error
14
71.2815
5.0915
Total
23
7896.9635
Variety
Mean germination %
F
Thus, as the calculated value of
(219.2512)
V5
74.071
exceeds the critical value (2.7642) of
-statistic
at 5% level of significance, the test is signifi-
cant and the null hypothesis of equality of varie-
tal effects w.r.t. germination percentage is
rejected. That means the varieties differ signifi-
cantly among themselves w.r.t. germination
percent.
To identify the best variety w.r.t. germination
percentage, the LSD (CD) value at 5% level of
significance is worked out as given below:
F
V4
68.324
V3
58.280
V8
54.537
V1
47.889
V2
31.685
V7
25.082
V6
24.080
Thus, from the above table, it is clear that
variety 5 is the best variety, having maximum
germination percentage, followed by variety 4,
variety 3, and so on. On the other hand, the
lowest germination percentage is recorded in
variety 6, which is at par with variety 7. Hence,
variety 5 is the best and varieties 6 and 7 are the
worst varieties w.r.t. germination percent.
Let us see how this analysis differs from the
analysis with original data. The following is the
result of analysis of data without transforming
the same.
ANOVA, without transforming the data
r
2ErMS
r
LSD
ð
0
:
05
Þ
¼
t
0
:
025
;
21
r
2
5
:
0915
¼
2
:
069
¼
3
:
812
:
3
We arrange the varietal means in descending
order and compare them in relation to the above
CD value:
ANOVA
Source of variation
SS
d.f.
MS
F
P
value
F
crit
Rows
19159.333
7
2737.0476
231.6494
0.0000
2.7642
Columns
20.583
2
10.2917
0.8710
0.4400
3.7389
Error
165.417
14
11.8155
