Agriculture Reference
In-Depth Information
From the above analysis of variance tables
using the formula for genotypic, phenotypic,
and environmental variances discussed in Sect.
(), one can work out the estimated variances of the
different characters due to genotypic, phenotypic,
and environmental effects. Thus, the genotypic,
phenotypic, and environmental variances for leaf
yield per plant can be estimated as follows:
ANOVA table for fresh wt of 100 leaves (
x
2
)
SOV
d.f.
S.S
M.S
F
-ratio
REP
2
28.8125
14.41
1.97
GEN.
9
94476.82
10497.42
1433.50
EROR
18
131.8125
7.32
Total 29 94637.44
ANOVA table for unit leaf area (
x
3
)
SOV
d.f.
S.S
M.S
F
-ratio
REP
2
20.39062
10.20
7.91
ð
MS
G
Þ
ð
MSE
Þ
2724
:
00
12
:
14
GEN.
9
17180.62
1908.96
1480.51
2
g
σ
¼
¼
r
EROR
18
23.20898
1.29
3
Total 29 17224.22
ANOVA table for leaf weight/m
2
(
¼
903
:
95
x
4
)
2
2
2
and
σ
p
¼ σ
g
þ σ
e
¼
903
:
95
þ
12
:
14
¼
916
:
09
SOV
d.f.
S.S
M.S
F
-ratio
2
and
σ
e
¼
MSE
¼
12
:
14
:
REP
2
5.25
2.63
0.79
GEN.
9
129114.3
14346.04
4292.08
EROR
18
60.16406
3.34
Similarly, these components for other
characters can also be worked out. The following
table gives the genotypic, phenotypic, and envi-
ronmental variances of different characters under
study.
Total 29 129179.7
The results of the analysis of variance show
that genotypes have different effects from one
another for all characters
y
x
1
,
x
2
,
x
3
, and
x
4
.
,
Leaf weight/m
2
Variance component
Yield/plant
Shoot length
Fresh weight of leaf
Leaf area
g
903.95
18452.68
3496.70
635.89
4780.90
Genotypic
σ
p
916.09
18608.19
3504.02
637.18
4784.24
Phenotypic
σ
e
12.14
155.51
7.32
1.29
3.34
Environmental
σ
Step 2: Analysis of Covariance Among the
Characters Under Study
We first take up the analysis of covariance of
leaf yield per plant with the total shoot length.
To facilitate the analysis, we make the follow-
ing table:
R1
R2
R3
Total
Genotype
Y
X
Y
X
Y
X
Y
X
1
1
1
1
1
158.89
344.00
164.57
352.20
152.54
345.00
476.00
1041.20
2
192.59
629.66
193.24
638.25
191.45
647.00
577.28
1914.91
3
195.18
453.22
190.24
455.32
201.45
465.32
586.87
1373.86
4
211.11
363.11
209.12
385.00
213.45
345.32
633.68
1093.43
5
202.22
557.87
200.12
552.45
204.52
563.00
606.86
1673.32
6
205.56
431.22
207.42
452.21
203.28
414.56
616.26
1297.99
7
217.78
687.78
215.65
693.56
219.45
705.45
652.88
2086.79
8
170.00
253.89
165.25
258.32
175.59
264.47
510.84
776.68
9
117.93
383.56
116.39
389.21
118.42
375.41
352.74
1148.18
10
175.33
414.78
177.45
425.36
175.21
458.33
527.99
1298.47
Total
1846.59
4519.09
1839.45
4601.88
1855.36
4583.86
5541.40
13704.83
