Write the spearmens formula to find r
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Spearman's rho example
4 + 4 + 1 + 0 + 1 + 1 + 1 + 0 + 0 = 12. You'll need this for the formula (the Σ d2 is just “the sum of d-squared values”). The Spearman Rank Correlation for this set of data is 0.9.
Divide the sum by sx ∗ sy. Divide the result by n – 1, where n is the number of (x, y) pairs. (It's the same as multiplying by 1 over n – 1.) This gives you the correlation, r.
To calculate Spearman's ρ in R, first, rank the x and y variables. A new data. frame is created to keep the ranked variables. Take the covariance of the variables and divide by the product of the x and y variables' standard deviations to find Spearman's ρ.
Divide the sum by sx ∗
The Spearman correlation coefficient, rs, can take values from +1 to -1. A rs of +1 indicates a perfect association of ranks, a rs of zero indicates no association between ranks and a rs of -1 indicates a perfect negative association of ranks. The closer rs is to zero, the weaker the association between the ranks.
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