The rank correlation coefficient (r), Mathematics

Assignment Help:

The Rank Correlation Coefficient (R)

Also identified as the spearman rank correlation coefficient, its reasons is to establish whether there is any form of association among two variables where the variables arranged in a ranked form.

R = 1 – {(6Σd2)/(n(n2 -1))}

 

Whereas d = difference among the pairs of ranked values.

                  n = numbers of pairs of rankings

Illustration

A group of 8 accountancy students are tested in Quantitative Techniques and Law II.  Their rankings in the two tests were as:

Student

Q. T. ranking

Law II ranking

d

d2

A

2

3

-1

1

B

7

6

1

1

C

6

4

2

4

D

1

2

-1

1

E

4

5

-1

1

F

3

1

2

4

G

5

8

-3

9

H

8

7

1

1

Σd2 = 22

d = Q. T. ranking - Law II ranking

R = 1 - {(6Σd2)/(n(n2 -1))}

1 -{(6(22))/(8(82 -1))} = 0.74

Hence we conclude that there is a reasonable agreement among student's performances in the two types of tests.

NOTE: in this illustration, if we are given the actual marks then we find r.  R varies between -1 and +1.


Related Discussions:- The rank correlation coefficient (r)

Simultaneous equations, two rolls of carpet cost £574, the first cost £8 pe...

two rolls of carpet cost £574, the first cost £8 per meter, the second which is 7m longer costs £7 p/m. how many meters are there in each roll

How much greater is 0.0543 than 0.002, How much greater is 0.0543 than 0.00...

How much greater is 0.0543 than 0.002? To ?nd out how much greater a number is, you required to subtract; 0.0543 - 0.002 = 0.0523. For subtract decimals and line the numbers up

Algebria, solve and graph the solution set 7x-4 > 5x + 0

solve and graph the solution set 7x-4 > 5x + 0

Course 2 chapter 1 ratios and propotional reasoning, find the unit rate. Ro...

find the unit rate. Round to the nearest hundredth in necessary 325 meters in 28 seconds

Percentages, how to remember the formulas of this topic

how to remember the formulas of this topic

Two circles touch internally, Two circles touch internally at a point P and...

Two circles touch internally at a point P and from a point T on the common tangent at P, tangent segments TQ and TR are drawn to the two circles. Prove that TQ = TR. Given:

Division of complex number, Division of complex number Now, we gave thi...

Division of complex number Now, we gave this formula a long with the comment that it will be convenient while it came to dividing complex numbers so let's look at a couple of e

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd