Example: how to calculate Spearman Correlation? | WorldSupporter Summaries and Study Notes

Answer

Step 1: rank each student

Student #

History Score

History Rank

Algebra Score

Algebra Rank

step 2: calculate difference between the ranks (d) and square d

Student #

History Score

History Rank

Algebra Score

Algebra Rank

d²

step 3: sum (add up) all the d² scores

Σ d² = 4 + 4 + 1 + 0 + 1 + 1 + 1 + 0 + 0 = 12

step 4: insert the values in the formula. These ranks are not tied, so use the first formula:

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

= 1 – (6*12)/(9(81-1))
= 1 – 72/720
= 1-0.1
= 0.9

> The Spearman Rank Correlation for this set of data is 0.9.

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