Illustration of rank correlation coefficient, Mathematics

Illustration of Rank Correlation Coefficient

In a beauty competition two assessors were asked to rank the 10 contestants by using the professional assessment skills. The results obtained were described as shown in the table below as:

Contestants

1st assessor

2nd assessor

A

6

5

B

1

3

C

3

4

D

7

6

E

8

7

F

2

1

G

4

8

H

5

2

J

10

9

K

9

10

REQUIRED

Compute the rank correlation coefficient and thus comment briefly on the value acquired

 

 

 

d

d2

A

6

5

1

1

B

1

3

-2

4

C

3

4

-1

1

D

7

6

1

1

E

8

7

1

1

F

2

1

1

1

G

4

8

-4

16

H

5

2

3

9

J

10

9

+1

1

K

9

10

-1

1

 

 

 

 

Σd2 = 36

∴ The rank correlation coefficient R

R = 1 -  {(6Σd2)/(n(n2 -1))}

= 1 -  {(6(36))/(10(102 -1))}

= 1 -  (216/990)

= 1 - 0.22

= 0.78

Comment: because the correlation is 0.78 it implies that there is high positive correlation among the ranks awarded to the contestants. 0.78 > 0 and 0.78 > 0.5.

Posted Date: 2/16/2013 7:07:54 AM | Location : United States







Related Discussions:- Illustration of rank correlation coefficient, Assignment Help, Ask Question on Illustration of rank correlation coefficient, Get Answer, Expert's Help, Illustration of rank correlation coefficient Discussions

Write discussion on Illustration of rank correlation coefficient
Your posts are moderated
Related Questions


A recipe calls for 2 1/4 teaspoons of salt for every 1 1/8 teaspoons of black pepper used. How many teaspoons of salt are needed for each teaspoon of pepper used ?


Example of Graphing Equations: Example: By using the above figure, find out the distance traveled if the average speed is 20 mph and the time traveled is 40 minutes. T

Scatter Graphs - A scatter graph is a graph that comprises of points which have been plotted but are not joined through line segments - The pattern of the points will defin

Solve the subsequent differential equation and find out the interval of validity for the solution. Let's start things off along with a fairly simple illustration so we can notic

Graph     ( x - 2) 2 /9+4(y + 2) 2  = 1 Solution It is an ellipse. The standard form of the ellipse is                                                         ( x - h

Let m be a positive integer with m>1. Find out whether or not the subsequent relation is an equivalent relation. R = {(a,b)|a ≡ b (mod m)} Ans: Relation R is illust

Illustration 2 In a described farm located in the UK the average salary of the employees is £ 3500 along with a standard deviation of £150 The similar firm has a local