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
calculate the shortest distance between A and B 40degrees west and 50 degrees east respectively laying along 57 degrees north

Q. How to Convert Percentages to Decimals? Ans. Since percent stands for "hundredths", to write a percentage as a decimal you just need to find how many hundredths it repr

We contain a piece of cardboard i.e. 14 inches by 10 inches & we're going to cut out the corners as illustrates below and fold up the sides to form a box, also illustrated below. F

how many words can be formed from letters of word daughter such that each word contain 2vowles and 3consonant

GUESS THE NUMBER THAT WHEN YOU SUBTRACT 6 AND THEN SUBTRACT 0 IS-14

i want to work with you, please guide me

sq root of tan x dx

det(adj A)for 1*1 matrix

25 cookies have to be divided equally among 4 children.hw can we use elps to answer this question?

From the data given below calculate the value of first and third quartiles, second and ninth deciles and forty-fifth and fifty-seventh percentiles.