52. Which one of the following statements is not true?

- Option : C
- Explanation :

You must be logged in to post a comment.

You must be logged in to post a comment.

- Option : D
- Explanation :
**Probable Error and Standard Error of Coefficient of Correlation**

The probable error (PE) of coefficient of correlation indicates extent to which its value depends on the condition of random sampling. If*r*is the calculated value of correlation coefficient in a sample of*n*pairs of observations, then the standard error SE_{r}of the correlation coefficient*r*is given by

The probable error of the coefficient of correlation is calculated by the expression:

Thus with the help of PE_{r}we can determine the range within which population coefficient of correlation is expected to fall using following formula:

where ρ (rho) represents population coefficient of correlation.**Remarks**

1. If*r*< PE_{r}then the value of*r*is not significant, that is, there is no relationship between two variables of interest.

2. If*r*> 6PE_{r}then value of*r*is significant, that is, there exists a relationship between two variables.**Illustration**: If*r*= 0.8 and*n*= 25, then PE_{r}is

Thus the limits within which population correlation coefficient (ρ_{r}) should fall are

You must be logged in to post a comment.

You must be logged in to post a comment.

- Option : A
- Explanation :

You must be logged in to post a comment.

You must be logged in to post a comment.

You must be logged in to post a comment.