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)

How many different combinations could she form these item, Wendy has 5 pair...

Wendy has 5 pairs of pants and 8 shirts. How many different combinations could she form with these items? Multiply the number of choices for each item to find out the number of

Prove that xa+ar=xb+br of circle, In figure, XP and XQ are tangents from X ...

In figure, XP and XQ are tangents from X to the circle with centre O. R is a point on the circle. Prove that XA+AR=XB+BR Ans:    Since the length of tangents from externa

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:

Applications of series - differential equations, Series Solutions to Differ...

Series Solutions to Differential Equations Here now that we know how to illustrate function as power series we can now talk about at least some applications of series. There ar

Some interpretations of the derivative, Some interpretations of the derivat...

Some interpretations of the derivative Example    Is f ( x ) = 2 x 3 + 300 +4 increasing, decreasing or not changing at x = -2 ? Solution:  We already know that the rate

HELP, a manufacturer is interested in developing a benefit segmentation of ...

a manufacturer is interested in developing a benefit segmentation of the cameramarket.suggest some major benefit segments with market targeting strategies.

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