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)

Example of convergent or divergent - comparison test, Determine if the subs...

Determine if the subsequent series is convergent or divergent. Solution As the cosine term in the denominator doesn't get too large we can suppose that the series term

Areas of a rectangle, a rectangular field with a path around it measures 1...

a rectangular field with a path around it measures 120m by 50m.if the path is 1m wide all around,(a)find the length of the outer edge of the path.(b)find the area of the path

Develop a linear program to investment advisory firm, An investment advisor...

An investment advisory firm manages funds for its numerous clients. The company uses an asset allocation model that recommends the portion of each client's portfolio to be invested

Find their present ages of son and father, When the son will be as old as t...

When the son will be as old as the father today their ages will add up to 126 years. When the father was old as the son is today, their ages add upto 38 years.  Find their present

Pair of linear equations in two variables, PAIR OF LINEAR EQUATIONS IN TWO ...

PAIR OF LINEAR EQUATIONS IN TWO VARIABLES: Like  the  crest  of a  peacock so  is  mathematics  at the  head of all knowledge. Example At a certain time in a deer park, t

Transpose of a matrix, I didn't understand the concept of Transpose of a Ma...

I didn't understand the concept of Transpose of a Matrix, need assistance.

Graph ( x + 1)2 /9 -( y - 2)2/4 =1 of hyperbola, Graph  ( x + 1) 2 /9 -( ...

Graph  ( x + 1) 2 /9 -( y - 2) 2 /4 =1 Solution It is a hyperbola. There are in fact two standard forms for a hyperbola.  Following are the basics for each form. H

How much will it have depreciated after 2 years, The value of a computer is...

The value of a computer is depreciated over ?ve years for tax reasons (meaning that at the end of ?ve years, the computer is worth $0). If a business paid $2,100 for a computer, ho

Tables and funcuctions, write an equation for a functionthat gives the valu...

write an equation for a functionthat gives the value in ech table .

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