Statistics/Testing Data/Spearmans

Spearman Rank- Correlation coefficient

Spearman developed a method of measuring rank correlation known as spearman rank correlation coefficient. It is generally denoted by r_s. There are three cases while calculating Spearman rank correlation coefficient:

Case i When ranks are given

Case ii When ranks are not given

Case iii Repeated ranks

The formula for calculating Spearman rank correlation coefficient is same for case i and ii. The formula is,

                     $r_s=1-\frac{6\sum d^2}{n(n^2-1)}$

Where,

n = The number of items or individuals being ranked

d = $R_1-R_2$

$R_1$ = The rank of items with respect to first variable

$R_2$ = The rank of items with respect to second variable Template:BookCat