What is Karl Pearson’s Coefficient of Correlation?

What is Karl Pearson’s Coefficient of Correlation?

The first person to give a mathematical formula for the measurement of the degree of relationship between two variables in 1890 was Karl Pearson. Karl Pearson’s Coefficient of Correlation is also known as Product Moment Correlation or Simple Correlation Coefficient. This method of measuring the coefficient of correlation is the most popular and is widely used. It is denoted by ‘r’, where r is a pure number which means that r has no unit....

Formula of Karl Pearson’s Coefficient of Correlation

[Tex]Karl~Pearson’s~Coefficient~of~Correlation(r)=\frac{Sum~of~Products~of~Deviations~from~their~respective~means}{Number~of~Pairs\times{Standard~Deviations~of~both~Series}} [/Tex]...

Methods of Calculating Karl Pearson’s Coefficient of Correlation

Actual Mean MethodDirect MethodShort-Cut Method/Assumed Mean Method/Indirect MethodStep-Deviation Method...

1. Actual Mean Method

The steps involved in the calculation of coefficient of correlation by using Actual Mean Method are:...

2. Direct Method

The steps involved in the calculation of coefficient of correlation by using Direct Method are:...

3. Short-Cut Method/Assumed Mean Method

Actual Mean can sometimes come in fractions which can make the calculation of standard deviation complicated and difficult. In those cases, it is suggested to use Short-Cut Method to simplify the calculations. The steps involved in the calculation of coefficient of correlation by using Assumed Mean Method are:...

4. Step Deviation Method

This method simplifies the calculation of coefficient of correlation as the deviations are taken from assumed means and are divided by a common factor. The steps involved in the calculation of coefficient of correlation by using Step Deviation Method are:...

Change of Scale and Origin

Coefficient of Correlation does not depend upon the change of scale and origin....