Agriculture Reference
In-Depth Information
Table 10.24
ANOVA table for m n strip plot design in r replication
SOV
d.f.
SS
MS
F
-ratio
Replication
r
1
RSS
RMS
RMS/ErMSI
Vertical plot factor (A)
m
1
SS(A)
MS(A)
MS(A)/ErMSI
Error I
(
r
1) (
m
1)
ErSSI
ErMSI
Horizontal plot factor (B)
( n 1)
SS(B)
MS(B)
MS(B)/ErMSII
Error II
(
r
1) (
n
1)
ErSSII
ErMSII
Interaction (A
B)
(
m
1) (
n
1)
SS(AB)
MS(AB)
MS(AB)/ErMSII
Error III
(
m
1)(
n
1)(
r
1)
ErSSIII
ErMSIII
Total
mnr 1
TSS
q
2ErMS - II
rm
Example 10.18.
To find the efficacy of three
different sources of organic manure and four
irrigation schedules, an experiment was
conducted in strip plot design with three
replications. Given below are the yield (t/ha)
data for different treatments. Analyze the infor-
mation to identify the best organic manure and
irrigation schedule along with their combination.
means
¼
and the corresponding
q
2ErMS - II
rm
LSD value will be LSD α ¼
t 2 ; error II d : f : .
(d) Standard error for difference between
two vertical plot treatment means at the
same level of horizontal plot treatment ¼
2
r
½
ðn
1
Þ
ErMS-III
þ
ErMS-I
and the
Statistical Model
y ijk ¼ μ þ γ i þ α j þ e ij þ β k þ e
rn
0
jk þðαβÞ jk þ e
00
ijk
corresponding LSD value will be LSD α
r
2
½
ðn
1
Þ
ErMS-III
þ
ErMS-I
where
i ¼
3;
j ¼
3;
k ¼
4;
¼
μ ¼
general effect
rn
t 2 ; errorII d : f : .
(e) Standard error for difference between two
horizontal plot treatment means at the
same level of vertical plot treatment
r i ¼
additional effect due to the
i
th replication
α j ¼
additional effect due to the
j
th level of
vertical factor, manure, and P
3
1 α j ¼
0
¼
r
2
½
ðm
1
Þ
ErMS-III
þ
ErMS-II
β k ¼
k
th level of
horizontal factor, irrigation, and P
additional effect due to the
.
rm
4
1 β k ¼
0
But the ratio of the treatment difference
and the above SE in (d) and (e) does not
follow the
ðαβÞ jk ¼
interaction effect due to the
j
th level of
distribution, and the approxi-
mate weighted
t
manure and the
k
th level of irrigation and
P
ðαβÞ jk ¼ P
k
t
is calculated as follows:
ðαβÞ jk ¼
0
j
e ij
(error I)
¼
error associated with the
i
th repli-
f
ðn
1
Þ
ErMS-III
t III þð
ErMS-I
t I Þ
g
and
cation and the
j
th level of vertical factor A and
f
ðn
1
Þ
ErMS-III
þ
ErMS-I
g
e ij ~ i.i.d.
N
σ
1 )
(0,
2
jk
e
(error II)
¼
error associated with the
j
th level
½
ðm 1 Þ ErMS-III t III þ ErMS-II t II
;
respectively ;
of vertical factor A (manure) and the
k
th level
ðm 1 Þ ErMS-III þ ErM-SII
e jk ~ i.i.
of horizontal factor B (irrigation) and
2 )
d.
N
(0,
σ
where
t I ¼ t
value at error I degrees of freedom,
00
ijk
e
(error III)
¼
error associated with the
i
th rep-
t II ¼ t
value at error II degrees of freedom, and
t III ¼ t
value at error III d.f. with specified level
of significance. Corresponding LSD values will
be LSD α ¼
lication, the
j
th level of vertical factor A and
the
k
th level of horizontal factor B and
e ijk ~i.
SE d
cal
Þ
.
3 )
i.d.
N
(0,
σ
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