Agriculture Reference
In-Depth Information
Varieties
A
B
C
D
E
25.8
39.3
30.6
34
16.2
19.1
33.1
26.1
24.6
28.5
19
33.1
36.1
41.7
21.1
21.3
32
34.3
35.8
23.7
19.2
39.9
37.2
28.1
19.4
Total
ðy
ioo
Þ
104.4
177.4
164.3
164.2
108.9
Average
ðy
ioo
Þ
20.88
35.48
32.86
32.84
21.78
Calculate the following quantities:
2
t t
¼
G
719
:
20
2
5
CF
¼
5
¼
20689
:
9
;
X
Obs
2
0
2
1
2
3
2
4
2
¼
:
¼
:
þ
:
þþ
:
þ
:
:
¼
:
;
TSS
CF
34
19
21
19
20689
9
1385
91
5
X
5
j¼
1
y
1
1
5
2
0
j
0
4
2
7
2
7
2
RSS
¼
CF
¼
143
:
þ
130
:
þþ
140
:
20689
:
9456
¼
74
:
498
;
5
X
5
1
1
5
2
00
9
2
4
2
80
2
CSS
¼
1
y
k
CF
¼
145
:
þ
131
:
þþ
143
:
20689
:
9456
¼
44
:
178
;
k¼
5
X
5
1
1
5
2
i
4
2
4
2
9
2
VSS
¼
1
y
CF
¼
104
:
þ
177
:
þþ
108
:
20689
:
9456
¼
947
:
146
;
00
i¼
ErSS
¼
TSS
RSS
CSS
VSS
¼
1385
:
914
74
:
498
44
:
178
947
:
146
¼
320
:
091
;
where TSS, RSS, CSS, VSS, and ErSS are the
total, row, column, variety, and error sum of
squares, respectively.
Construct the ANOVA table as given below.
Calculate CD(0.05) using the
following
formula:
r
2
MSE
t
CD
0
:
05
ð
Variety
Þ¼
t
0
:
025
;
err
:
d
:
f
:
r
2
ANOVA
SOV
26
:
674
d.f.
SS
MS
F
¼
t
0
:
025
;
12
5
Row
4
74.498
18.625
0.698
r
2
Column
4
44.178
11.045
0.414
26
:
674
¼
2
:
179
Variety
4
947.146
236.787
8.877
5
Error
12
320.091
26.674
¼
:
:
7
118
Total
24
1385.914
F
0.05;4,12
¼
Arrange the varietal mean values in descen-
ding order and compare the difference between
any two treatment mean differences with that of
the critical difference value. If the critical differ-
ence value is greater than the difference of two
varietal means, then the treatments are statisti-
cally at par; there exists no significant difference
among the means under comparison.
3.26. Thus, we
find that the calculated values of
The table value of
are less,
except for variety, than the corresponding table
value. So the tests for row and columns are non-
significant. We conclude that neither the row
effects nor the column effects are significant.
But the effects of varieties are significant.
So we are to identify the best variety.
F
