EDUCATION (CBSE/UGC NET)

EDUCATION UGC NET

RESEARCH METHODOLOGY

Question [CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
The importance of the correlation co-efficient lies in the fact that:
A
It is one of the most valid measure of statistics.
B
It is a non-parametric method of statistical analysis.
C
There is a linear relationship between the correlated variables.
D
It allows one to determine the degree or strength of the association between two variables.
Explanation: 

Detailed explanation-1: -Correlation coefficients are used to assess the strength of associations between data variables. The most common, called a Pearson correlation coefficient, measures the strength and the direction of a linear relationship between two variables.

Detailed explanation-2: -In summary, correlation coefficients are used to assess the strength and direction of the linear relationships between pairs of variables. When both variables are normally distributed use Pearson’s correlation coefficient, otherwise use Spearman’s correlation coefficient.

Detailed explanation-3: -A correlation coefficient measures the strength of that relationship. Calculating a Pearson correlation coefficient requires the assumption that the relationship between the two variables is linear. The relationship between two variables is generally considered strong when their r value is larger than 0.7.

Detailed explanation-4: -The correlation coefficient (r) lies between-1 and +1 (inclusive). When calculated using the observed data, it is commonly known as Pearson’s correlation coefficient (after Karl Pearson who first defined it).

Detailed explanation-5: -Values between 0.7 and 1.0 (−0.7 and −1.0) indicate a strong positive (negative) linear relationship through a firm linear rule. It is the correlation coefficient between the observed and modelled (predicted) data values.

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