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LaTeX Math Block
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\rho_sS(x,y) = \rho_p(rg(x),rg(y)) = 1 - \frac{6}{n(n^2-1)} \sum_i \big( rg(x_i)-rg(y_i) \big)^2

where 

LaTeX Math Inline
bodyrg(x_i)
 and 
LaTeX Math Inline
bodyrg(x_i)
 are the ranks of elements 
LaTeX Math Inline
bodyx_i
 and
LaTeX Math Inline
bodyy_i
.


The Spearmen correlation coefficient is showing the accordance in data set variations: whether they grow and decline accordingly with no regard of the actual values of the variations.


See also

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Formal science / Mathematics / Statistics Statistical correlation 

Statistical correlation metrics @ review ] Pearson correlation ] [ Kendall correlation ] [ Fehner correlation ]