Calculate Spearman’s rank correlation from ranked data.
Spearman’s correlation works on ranks rather than values, so it detects any monotonic relationship and is unaffected by outliers. It requires no assumption of normality. When a relationship is strong but curved, Spearman reports a high correlation while Pearson understates it substantially.
Spearman Rank
ρ = 1 − 6Σd² ÷ (n(n² − 1))
ρ = 1 − 6Σd² ÷ (n(n² − 1)) Spearman’s correlation works on ranks rather than values, so it detects any monotonic relationship and is unaffected by outliers. It requires no assumption of normality.
When a relationship is strong but curved, Spearman reports a high correlation while Pearson understates it substantially.
This calculator takes 2 inputs: Sum of squared rank differences, Number of pairs. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.