Agriculture Reference
In-Depth Information
Table value of
F
at
p ¼
SOV
d.f.
SS
MS
F
-ratio
0.05
p ¼
0.01
Replication
2
0.500
0.250
1.389
3.21
5.12
Irrigation
1
91.688
91.688
509.487
4.07
7.25
Phosphate
2
225.505
112.753
626.536
3.21
5.12
I
P
2
1.050
0.525
2.919
3.21
5.12
Nitrogen
3
43.241
14.414
80.094
2.83
4.26
I
N
3
1.811
0.604
3.355
2.83
4.26
P
N
6
88.368
14.728
81.839
2.22
3.23
I
P
N
6
1.324
0.221
1.226
2.22
3.23
Error
46
8.278
0.180
Total
71
461.767
Now using the above values, we frame the
following ANOVA table:
From the above table we have all the effects
except
Now, we are to find out the levels of different
factors which are significantly different fromothers
and also the best level of each factor. For the pur-
pose we are to calculate the critical difference
values for irrigation, phosphate, nitrogen, and inter-
action effects of irrigation
for
replication,
irrigation
phosphate,
and
nitrogen inter-
action significant at 5% level of significance.
Moreover, the main effects of all the factors and
the interaction effect of phosphate and nitrogen
are significant even at 1% level of significance.
irrigation
phosphate
nitrogen and phos-
phate
nitrogen using the following formulae:
s
2
r
2
ErMS
npr
0
:
180
LSD
ð
0
:
05
Þ
for irrigation
¼
t
2
;
error d
:
f
:
¼
t
0
:
025
;
46
:
3
:
4
:
3
r
2
0
:
180
¼
2
:
016
¼
0
:
2016
:
:
3
4
3
s
2
r
2
ErMS
mpr
0
:
180
LSD
ð
0
:
05
Þ
for phosphate
¼
t
2
;
error d
:
f
:
¼
t
0
:
025
;
46
:
2
:
4
:
3
r
2
0
:
180
¼
2
:
016
¼
0
:
247
2
:
4
:
3
r
2
r
2
ErMS
mnr
0
:
180
¼
t
2
;
error d
:
f
:
¼
t
0
:
025
;
46
:
LSD
ð
0
:
05
Þ
for nitrogen
2
:
3
:
3
r
2
0
:
180
¼
2
:
016
¼
0
:
2851
2
:
3
:
3
r
2
r
2
ErMS
nr
0
:
180
LSD
ð
0
:
05
Þ
for irrigation
nitrogen
¼
t
2
;
error d
:
f
:
¼
t
0
:
025
;
46
:
3
:
3
r
2
:
0
180
¼
2
:
016
¼
0
:
403
3
:
3
r
2
r
2
ErMS
mr
0
:
180
¼
t
2
;
error d
:
f
:
¼
t
0
:
025
;
46
:
LSD
ð
0
:
05
Þ
for phosphate
nitrogen
2
:
3
r
2
0
:
180
¼
2
:
016
¼
0
:
4938
2
:
3
