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Spearman's Rank Correlation Coefficient Calculator

Statistics
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Calculates Spearman's rank correlation coefficient, measuring the strength and direction of association between two ranked variables.

How To Use

How to use this calculator

Start with your values, or try a preset.

Step 1

Enter Number of data pairs (n) and Sum of squared differences (∑dᵢ²) in the units shown.

Step 2

Read Spearman's Rank Correlation Coefficient (ρ) in the results panel. Results update as you change the inputs.

Step 3

Choose a preset to load an example, then adjust the values for your situation.

Worked Examples

Example calculations

See the inputs and their calculated results.

Example 1

Number of data pairs (n): 5; Sum of squared differences (∑dᵢ²): 10

Spearman's Rank Correlation Coefficient (ρ): 0.5

Example 2

Number of data pairs (n): 10; Sum of squared differences (∑dᵢ²): 50

Spearman's Rank Correlation Coefficient (ρ): 0.696969697

Perfect Positive Correlation

Number of data pairs (n): 5; Sum of squared differences (∑dᵢ²): 0

Spearman's Rank Correlation Coefficient (ρ): 1

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