Question

From the following data calculate the rank

correlation coefficient after making adjustment for

tied ranks.

X : 48 33 40 9 16 16 65 24 16 57

Y : 13 13 24 6 15 4 20 9 6 19​

Answer 1

X

Rank

Y

Rank

∣d∣

d  

2

 

48

33

40

9

16

16

65

25

16

57

3

5

4

10

7

7

1

6

7

2

13

13

24

6

15

4

20

9

6

19

5

5

1

8

4

10

2

7

8

3

2

0

3

2

3

3

1

1

1

1

4

0

9

4

9

9

1

1

1

1

n=10,∑d  

2

=39

r=1−  

n(n  

2

−1)

6∑d  

2

 

​

=1−  

10(10  

2

−1)

6×39

​

=1−  

990

234

​

=0.76