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Spearman's rank correlation

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Useful for: IB Math AI SL & HL

Learn it Rank both variables, find each difference d in ranks, then rₛ = 1 − 6Σd²/[n(n² − 1)]. rₛ near 1 or −1 means a strong monotonic (always increasing or always decreasing) relationship, even if it isn't a straight line.

Example: n = 5, Σd² = 4.

  1. rₛ = 1 − 6(4)/[5(24)] = 1 − 0.2.
  2. 0.8: a strong positive relationship.

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