Spearman Correlation formula

## What is the definition of the Spearman Correlation test?

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

• p : Spearman correlation
• rs : Spearman correlation
• di : rg(Xi) - rg(Yi): difference between the two ranks of each observation (for example, one can have the second best score on variable X, but the ninth on variable Y.)
• n : number of scores

Note: if there are tied ranks, the following method can be used to calculate the Spearman Correlation:

$\rho = \frac{\sum_i (x_i - \bar{x})(y_i - \bar{y})}{\sqrt {\sum_i (x_i - \bar{x})^2 \sum_i (y_i - \bar{y})^2}}$

• x : value of x
• x̄ : mean of x
• y : value of y
• ȳ : mean of y
Selected Categories
Connect & Continue
WorldSupporter Resources

This question is for testing whether or not you are a human visitor and to prevent automated spam submissions. Join World Supporter
Join World Supporter

## Why create an account?

• Once you are logged in, you can:
• Save pages to your favorites
• Give feedback or share contributions
• participate in discussions
• share your own contributions through the 7 WorldSupporter tools
Content