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)

Calculate the regular monthly payments, A washing machine, cash price $ 850...

A washing machine, cash price $ 850 is available on the following terms: A deposit of $ 100 followed by equal payments at the end of each month for the next 18 months, if intere

Probablility, #question.find the number of combinations of the letters a, b...

#question.find the number of combinations of the letters a, b, c, and d taken 3 at a time.

Calculate the probability, Given the following decision tree, perform the t...

Given the following decision tree, perform the tasks listed below  1. Simulate the route through the test market and produce results for twenty simulations, calculating the

Convergence, Assume that (xn) is a sequence of real numbers and that a, b €...

Assume that (xn) is a sequence of real numbers and that a, b € R with a is not eaqual to 0. (a) If (x n ) converges to x, show that (|ax n + b|) converges to |ax + b|. (b) Give

Work Word Problems, Data entry is performed in 2-person teams. Each 2-perso...

Data entry is performed in 2-person teams. Each 2-person team can enter 520 surveys per day. A selection of 7540 surveys must be entered by day''s end. How many total employees, wo

The sum of the clock, how many times In a 12 hour period will he numbers ad...

how many times In a 12 hour period will he numbers add up to 6? (hint 3:00 is one answer0

Calculus, the limit of f(x) as x approaches 5 is equal to 7. write the defi...

the limit of f(x) as x approaches 5 is equal to 7. write the definition of limit as it applies to f at this point

What is the ratio of the areas of sectors , What is the ratio of the areas ...

What is the ratio of the areas of sectors I and II ?                               (Ans:4:5) Ans:    Ratio will be 120/360  Π r 2 : 150/360  Π r 2 4/12  : 5/12  =

Statistics, How do I choose a distribution test for a sample size of 60? Pr...

How do I choose a distribution test for a sample size of 60? Probability of rolling a 4 on a six sided die.

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