Spearman's Rank Correlation Coefficient (Edexcel A-Level Further Mathematics): Flashcards

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Spearman's Rank Correlation Coefficient
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When to use Spearman's Rank Correlation

For rankings, subjective judgments, or inconsistent raw scores

Spearman's formula rsr_s

rs=1−6∑d2n(n2−1)r_s = 1 - \frac{6 \sum d^2}{n(n^2 - 1)}

dd in Spearman's formula

Difference in ranks

Term for Spearman's result (not 'correlation')

Agreement

Distinguish 'no agreement' vs 'disagreement'

Different concepts: 'no agreement' means rs≈0r_s \approx 0; 'disagreement' means negative rsr_s

Calculate rsr_s on calculator

Use method for rr but input rankings

Coding definition

Transformation of data to make it easier to work with

Example: coding transformations for regression data

H=100hH = 100h and L=l−1000L = l - 1000

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