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  1. Find the difference D = R1 - R2
    where R1 = Rank of x and R2 = Rank of y
    Note that
    S D = 0 (always)

  2. Calculate D2 and then find S D2

  3. Apply the formula.

¬ Note :

In some cases, there is a tie between two or more items. in such a case each items have ranks 4th and 5th respectively then they are given = 4.5th rank. If three items are of equal rank say 4th then they are given = 5th rank each. If m be the number of items of equal ranks, the factor is added to S D2. If there are more than one of such cases then this factor added as many times as the number of such cases, then

Example Calculate ‘ R ’ from the following data.

Student No.:

1

2

3

4

5

6

7

8

9

10

Rank in Maths :

1

3

7

5

4

6

2

10

9

8

Rank in Stats:

3

1

4

5

6

9

7

8

10

2


Solution :

Student
No.

Rank in
Maths (R1)

Rank in
Stats (R2)

R1 - R2
D

(R1 - R2 )2
D2

1

1

3

-2

4

2

3

1

2

4

3

7

4

3

9

4

5

5

0

0

5

4

6

-2

4

6

6

9

-3

9

7

2

7

-5

25

8

10

8

2

4

9

9

10

-1

1

10

8

2

6

36

N = 10

 

S D = 0

S D2 = 96

Calculation of R :

Index

6. 1 Introduction
6. 2 Correlation
6. 3 Types of Correlation
6. 4 Degrees of Correlation
6. 5 Methods of determining correlation
6. 6 Coefficients of Correlation for Bivariate Grouped Data
6. 7 Probable Error
6. 8 Rank Correlation Coefficient
6. 9 Linear Regression

Chapter 7





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