Agriculture Reference
In-Depth Information
In education, there are two tied ranks 3.5
and in awareness, there are also two tied ranks
4.5. So the correction in education series is
24
ð
1
Þ
¼
1
2
and that
in awareness
series
is
12
also 1
2.
Now,
=
d
i
¼
4
;
1
;
3
:
5
;
0
:
5
;
1
;
2
:
5
;
2
:
5
;
2
;
1
;
2
X
10
i¼
1
d
2
2
2
2
2
2
2
4
2
1
2
1
2
1
2
)
i
¼
þ
þ
ð
3
:
5
Þ
þ
ðÞ
0
:
5
þ
þ
ðÞ
2
:
5
þ
ð
2
:
5
Þ
þ
ðÞ
2
þ
þ
ðÞ
2
¼
16
þ
1
þ
12
:
25
þ
0
:
25
þ
1
þ
6
:
25
þ
6
:
25
þ
4
þ
1
þ
4
¼
52
6
P
i
þ
P
2
10
2
mm
ð
1
Þ
1
2
þ
1
2
2
1
d
6
:
52
þ
12
i¼
r
R
¼
1
¼
1
¼
1
0
:
3212
¼
0
:
6788
:
nn
ð
2
1
Þ
10
:
99
8.5.3 Coefficient of Colligation
So the education and motivation index of the
farmers are substantially associated.
Using the same idea discussed above in the case
of Yule coefficient, another coefficient of associ-
ation between two attributes has been defined as
coefficient of colligation using the following
8.5.2 Yule's Coefficient
The main idea of Yule's coefficient of associa-
tion is that the two attributes are associated if
they appear in greater number/frequency than
what is expected if these are independent. Let
there be two attributes
ðAbÞðaBÞ
ðABÞðabÞ
1
when
formula:
Q
AB
¼
Q ¼
0
þ
ðAbÞðaBÞ
ðABÞðabÞ
1
A
and
B
. The occurrence
) γ ¼
0,
Q ¼
1
) γ ¼
1,
Q ¼
+1
)
of
), respectively,
whereas the absence of these is denoted by (
A
or
B
is denoted by (
A
) and (
B
2
γ
1
þγ
γ ¼
2
.
Besides the above types of correlation,
intraclass correlation, grade correlation,
Kendall's rank correlation, serial correlation,
tetrachoric correlation, etc., are also used.
+1, and
Q ¼
a
)
and (
), respectively. Thus, we have (Table
8.13
)
According to Yule's formula of association,
between the attributes A and B
b
Q
AB
¼
ðABÞðabÞðAbÞðaBÞ
ðABÞðabÞþðAbÞðaBÞ
8.6
Regression Analysis
where
(
Correlation coefficient measures the degree of
linear association between any of the two given
variables. Once after getting a good degree of
association, our objective is to find out the actual
relationship between or among the variables. The
technique by which we can analyze the relationship
among the correlated variable is known as regres-
sion analysis in the theory of statistics. In different
agricultural and socioeconomic studies, different
demographic, social, economical, educational,
etc., parameters are studied to find out the depen-
dence of the ultimate variables, say yield, adoption
index, awareness, empowerment status, etc., on
these parameters. Regression analysis is a technique
by virtue of which one can study the relationship.
AB
) is the frequency of the class
AB
, that is, the
class in which both
A
and
B
are present
(
Ab
) is the frequency of the class
Ab
, that is, the
class in which
A
is present but
B
is absent
(
aB
) is the frequency of the class
aB
, that is, the
class in which
A
is absent but
B
is present
(
ab
) is the frequency of the class
ab
, that is, the
class in which both
are absent
The value of Yule's coefficient
a
and
b
Q
AB
1
þ
1.
Table 8.13
2
2 Distribution of two attributes
A\B
B
b
A
(AB)
(Ab)
