Spearman Correlation Calculator
Calculate rank correlation between paired observations, assigning average ranks to ties.
Result for the values shown.
Calculations run in your browser.
What to enter
| Input | Meaning and units |
|---|---|
| X observations | Use paired lists of equal length, with at least two observations. Separate numbers with commas or line breaks. |
| Y observations | Use paired lists of equal length, with at least two observations. Separate numbers with commas or line breaks. |
Understanding your result
These are descriptive results for the observations you entered, not proof of causation, significance or a particular population distribution.
Common mistakes
- Misaligning the paired lists, or treating association as causation.
Check your calculation
- Try a small hand-checkable list; confirm the stated quartile/rank/denominator convention before comparing with another application.
Calculation checks, sources and review limits
How strong is the rank association between these lists, including ties?
Calculate rank correlation between paired observations, assigning average ranks to ties.
Common uses
- Calculate rank correlation between paired observations, assigning average ranks to ties.
How it works
Average ranks for ties; Pearson correlation of ranks. Lists accept commas, semicolons, spaces or line breaks as separators; use a dot for decimals. At most 10,000 observations are supported. Calculations use floating-point arithmetic; displayed numeric results have up to 12 significant digits.
Worked example
Enter X observations: 1, 2, 3; Y observations: 3, 2, 1. The result is Rho: -1.
FAQ
How strong is the rank association between these lists, including ties?
Average ranks for ties; Pearson correlation of ranks. Lists accept commas, semicolons, spaces or line breaks as separators; use a dot for decimals. At most 10,000 observations are supported. Calculations use floating-point arithmetic; displayed numeric results have up to 12 significant digits.
What assumptions and limits apply?
Tie-adjusted ranks required; shortcut 1-6sum(d²)/(n(n²-1)) valid only without ties.