Agriculture Reference
In-Depth Information
s
The next task is to find out which pair of
variety differs significantly and which is the
best or worst variety. To compare the schools,
we calculate the means (
1
r
i
þ
1
r
j
MSE
t
0
:
025
;
err
:
df
:
s
) of the observations of
four schools and the means are arranged in
decreasing order. Thus, we get
y
i
1
r
i
þ
1
r
j
¼
0
:
672
t
0
:
025
;
26
:
s
0
:
672
1
r
i
þ
1
r
j
¼
2
:
056
Variety
V4
V2
V1
V3
y
i
) 14.66 13.37 12.64 12.15
Now we find the critical difference (CD) (also
known as the least significant difference (LSD))
value at
Mean (
r
j
are the number of observations of the
two schools in comparison. Thus, for comparing the
schools, we have the following critical difference
and mean difference values among the schools:
r
i
and
where
α
/2 level of significance, which is calcu-
lated as
CD/LSD values
Mean difference
CD(0.05) (variety 1-variety 2)
0.888
Difference between variety 1 and variety 2
0.72
CD(0.05) (variety 1-variety 3)
0.818
Difference between variety 1 and variety 3
0.494
CD(0.05) (variety 1-variety 4)
0.849
Difference between variety 1 and variety 4
2.012
CD(0.05) (variety 2-variety 3)
0.910
Difference between variety 2 and variety 3
1.467
CD(0.05) (variety 2-variety 4)
0.938
Difference between variety 2 and variety 4
1.29
CD(0.05) (variety 3-variety 4)
0.872
Difference between variety 3 and variety 4
2.507
It is found from the above table that not all the
values of the mean differences are greater than
the respective critical difference values, except
the first two pairs. Among the four varieties,
variety 4 has significantly the best panicle length
(14.657 cm).
The above analysis could be done using the
data analysis module of MS Excel, as given
below in a stepwise manner.
Step 1: Arrange the data in Ms Excel workout as
shown below:
