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Example Calculate Ď R í of 6 students from the following data.

Marks in Stats :

40

42

45

35

36

39

Marks in English :

46

43

44

39

40

43

Solution:

Marks in Stats

R1

Marks in English

R2

R1 - R2

(R1 -R2)2 =D2

40

3

46

1

2

4

42

2

43

3.5

-1.5

2.25

45

1

44

2

-1

1

35

6

39

6

0

0

36

5

40

5

0

0

39

4

43

3.5

0.5

0.25

           

N = 6

     

S D = 0

S D2 = 7.50

Here m = 2 since in series of marks in English of items of values 43 repeated twice.



Example The value of Spearmanís rank correlation coefficient for a certain number of pairs of observations was found to be 2/3. The sum of the squares of difference between the corresponding rnks was 55. Find the number of pairs.

Solution: We have


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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