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Statistics

Spearman Rank Correlation Calculator

Measure monotonic association between paired observations, including tied values assigned average ranks.

Data stays on this deviceConvention explained below
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Data explorer

Check the dataset and sample convention before interpreting results.

See the method

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Runs on your device

Your statistical summary

Your result

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Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter sample a, sample b.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
Sample AKeep the structure and separators shown in the sample. Line breaks are retained in this input.8, 10, 9, 12, 11
Sample BKeep the structure and separators shown in the sample. Line breaks are retained in this input.5, 7, 6, 8, 9

Result for these sample inputs

0.9
Matched pairs
5
Ties in A
0
Ties in B
0

Measures monotonic association, which may be curved rather than linear. No small-sample approximate p-value is presented.

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Rank both samples using average ranks for ties, then compute Pearson correlation of those ranks.

A WORKED EXAMPLE

Using sample a = 8, 10, 9, 12, 11, sample b = 5, 7, 6, 8, 9, the result is 0.9 probability. Change these example inputs to match your task; use the method above to check each step.

What to keep in mind

Paired measurements must refer to the same observations. Correlation does not establish causation. A descriptive or probability calculation under the stated assumptions. Check the sample design and model before interpreting results.

Reference: SciPy: Spearman rank correlation

Common questions

How are tied values ranked?

Tied observations share the average of the ranks they occupy. The calculator then correlates these average ranks, which works when the shortcut formula for untied ranks does not.

Why is there no significance p-value?

A quick large-sample approximation can be misleading for small samples or ties. This page reports the rank association itself; an appropriate permutation or other inference procedure is a separate task.

Methodology maintained by ClarityKit. How these tools are built and checked.