Q:

Find the rank correlation coefficient (ρ)

0

 

The following table show 10 students, arranged in alphabetical order, were ranked according to achievements in both the laboratory and lecture of a biology course.

5 1 6 4 10 7 2 9 3 8 Laboratory (X)
6 2 4 3 7 8 1 10 5 9 Laboratory (Y)

Find the rank correlation coefficient (ρ).

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X

Y

Rank of X

Rank of Y

d d^2

8

9

3

2

-1

1

3

5

8

6

-2

4

9

10

2

1

-1

1

2

1

9

10

1

1

7

8

4

3

-1

1

10

7

1

4

3

9

4

3

7

8

1

1

6

4

5

7

2

4

1

2

10

9

-1

1

5

6

6

5

-1

1

         

24

Then:

ρ=1-(6∑d^2 )/n(n^2-1) =1-6(24)/10(100-1) =0.85

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