\(r_{s} = 1-\frac{6\times \Sigma^{n}_{i=1}d^{2}_{i}}{n\times (n^{2}-1)}\)

- \(r_{s}\) - the Spearman rank correlation coefficient
- \(d_{i}\) - the difference between the ranks of each pair of observations on X and Y
- \(n\) - the number of observations

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The Spearman Rank Correlation Coefficient

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\(r_{s} = 1-\frac{6\times \Sigma^{n}_{i=1}d^{2}_{i}}{n\times (n^{2}-1)}\)

- \(r_{s}\) - the Spearman rank correlation coefficient
- \(d_{i}\) - the difference between the ranks of each pair of observations on X and Y
- \(n\) - the number of observations

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