Correlation

Correlation, Types of Correlation, Value and Measurement

by Muhammad Yousuf Ali

Correlation indicates the relationship of the two variables. It shows the associations of variables. This article about the correlation statistical technical. In this small article discuss the try to explore the answer of these four questions about correlations.

What is Correlation?

How many types of Correlation?

What is the Correlation value range?

What are the 4 types of measurement of correlation?

What is Correlation?

Correlation is a statistical measure that expresses the extent to which two variables are linearly related (meaning they change together at a constant rate). It’s a common tool for describing simple relationships without making a statement about cause and effect.

How many types of Correlation?

Positive Correlation –

When the values of the two variables move in the same direction so that an increase/decrease in the value of one variable is followed by an increase/decrease in the value of the other variable.

Negative Correlation –

When the values of the two variables move in the opposite direction so that an increase/decrease in the value of one variable is followed by decrease/increase in the value of the other variable.

Zero Correlation/No Correlation – 

When there is no linear dependence or no relation between the two variables.

What is the Correlation value range?

 The correlation coefficient is usually represented using the symbol r, and it ranges from -1 to +1.

Positive correlation values

Value is great than+ .70 > is strong positive correlation

Value is less than +.70< but great than +.5> is Positive normal/moderate correlation

Value is less than +.50<but great than +.30> is positive but Weak correlation

Negative Correlation values

Value is great than+ .70 > is strong negative correlation

Value is less than +.70< but great than +.5> is normal correlation

Value is less than +.50<but great than +.30> is Weak correlation

What are the 4 types of measurement of correlation?

The four types of correlation coefficients :

Pearson Correlation Coefficient

Linear Correlation Coefficient

Sample Correlation Coefficient

Population Correlation Coefficient

Pearson Correlation Coefficient

Pearson’s correlation coefficient is the test statistics that measures the statistical relationship, or association, between two continuous variables. It is known as the best method of measuring the association between variables of interest because it is based on the method of covariance.

Linear Correlation Coefficient

Linear Correlation Coefficient. The linear correlation coefficient is a number calculated from given data that measures the strength of the linear relationship between two variables: x and y. The sign of the linear correlation coefficient indicates the direction of the linear relationship between x and y.

Sample Correlation Coefficient

A sample correlation coefficient is called r, while a population correlation coefficient is called rho, the Greek letter ρ. The sample correlation coefficient uses the sample covariance between variables and their sample standard deviations.

r_ab = S_ab/S_aS_b

Population Correlation Coefficient

Population correlation is the combination of the two variables σ_a and σ_b as the population standard deviations. Which is divided by the sample correlation

r_ab = σ_ab/σ_aσ_b

How to Cite This Article :-

Ali (M.Y). 2024. Correlation, Types of Correlation, Value and Measurement. https://profileusuf.wordpress.com/correlation/