Agriculture Reference
In-Depth Information
Layout and Randomization
The step-by-step procedure for layout of an
mn
Step 3: Divide each and every main plot into
n
number of experimental units of equal size.
Step 4: Randomly allocate the
factorial experiment conducted in split plot
design with
m
levels of main
r
replication is given as follows:
plot factor into
main plots of each and every
replication separately.
Step 5:The
m
n
levels of subplot factor is randomly
Step 1: Divide the whole experimental area into
r
replications considering the field condition and
local situation.
Step 2: Divide each and every replication into
n
m
allocated to
subplots of each and every
main
plot factor.
Step 6: Continue the procedure in step 2 to step 5
for
m
number of blocks (main plot) of equal size and
homogeneity.
r
replications separately.
a
b
c
R1 …………… R
r
1 2 ………….
m
−1,
m
1
……………
Experimental area
Experimental area divided
into
r
replications
Each replication divided
in to
m
main plots
d
e
1
2
:
:
n
Main plot divided into
n
subplots
Replication divided
in to
m
main and
n
subplots
X
X
Analysis
The appropriate model split plot experiment
with
υ
jk
¼
υ
jk
¼
0
factor B and
j
k
m
levels of main plot factors and
n
levels
for all
k
for all
j
of subplot factors in
r
replications is
y
ijk
¼
e
ij
(error I)
¼
associated with the
i
th replication
0
ijk
μ þ γ
i
þ α
j
þ e
ij
þ β
k
þ υ
jk
þ e
and the
j
th level of main plot factor and
e
ij
~i.
where
i ¼
1, 2,
...
,
r
;
j ¼
1, 2,
...
,
m
;
k ¼
1,
2
m
i.d.
N
(0,
σ
)
2,
...
,
n
μ ¼
0
ijk
e
(error II)
¼
error associated with the
i
th rep-
general effect
lication, the
j
th level of main plot factor, and
γ
i
¼
additional effect due to the
i
th replication
k
e
ijk
~ i.i.d.
the
th level of subplot factor and
α
j
¼
additional effect due to the
j
th level of main
N
σ
2
s
)
Hypothesis to Be Tested
(0,
plot factor A and
m
j¼
1
α
j
¼
0
β
k
¼
additional effect due to the
k
th level of
H
0
: γ
1
¼ γ
2
¼¼γ
i
¼¼γ
r
¼
0
;
subplot factor B and
n
k¼
1
β
k
¼
0
α
1
¼ α
2
¼¼α
j
¼¼α
m
¼
0
;
;
υ
11
¼ υ
12
¼¼υ
jk
¼¼υ
mn
¼
β
1
¼ β
2
¼¼β
k
¼¼β
n
¼
0
υ
jk
¼
interaction effect due to the
j
th level of
main plot factor A and the
k
th level of subplot
0
:
