Illustration of rank correlation coefficient, Mathematics

Illustration of Rank Correlation Coefficient

Sometimes numerical data such refers to the quantifiable variables may be described after which a rank correlation coefficient may be worked out.

Is such a condition, the rank correlation coefficient will be determined after the described variables have been converted into ranks. See the given illustration:

Candidates

Math

r

Accounts

r

d

d2

P

92

1

67

5

-4

16

Q

82

3

88

1

2

4

R

60

5(5.5)

58

7(7.5)

-2

4

S

87

2

80

2

0

0

T

72

4

69

4

0

0

U

60

5(5.5)

77

3

-2.50

6.25

V

52

8

58

7(7.5)

0.5

0.25

W

50

9

60

6

3

9

X

47

10

32

10

0

0

Y

59

7

54

9

-2

4

 

 

 

 

 

 

Σd2 = 43.5

∴ Rank correlation r = 1 - {(6Σd2)/ (n (n2 -1))}

 = 1 -   {(6(43.5))/(10(102 -1))}

 = 1 -  (261/990)

= 0.74 as High positive correlation among mathematics marks and accounts

Posted Date: 2/18/2013 5:29:39 AM | Location : United States







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