Spearman's Correlation Calculator

Your details

Enter X values separated by commas, spaces, or new lines. At least 3 pairs required.
Enter the paired Y values. Must have the same count as X values. At least 3 pairs required.
The threshold p-value used to decide whether the correlation is statistically significant.
Spearman's rsStrong positive
0.7818

Rank correlation coefficient (rho), ranges from -1 to +1

Two-tailed p-value0.0075
t-statistic3.5466
Sample size (n)10
Degrees of freedom8
Sum of d²36
0.7818
Strong negative<-0.7Moderate negative-0.7--0.4Weak / no correlation-0.4-0.4Moderate positive0.4-0.7Strong positive0.7+

rs = 0.7818: strong positive correlation.

  • The strong positive correlation (rs = 0.7818) means that as X ranks increase, Y ranks tend to increase as well.
  • With n = 10 pairs and 8 degrees of freedom, the result is statistically significant at alpha = 0.05 (p = 0.0075).
  • A strong significant result suggests a reliable monotonic relationship between the two variables.
  • Spearman's rho measures monotonic association, not necessarily linear. It does not imply that one variable causes the other.

Next stepTo explore whether the relationship is also linear, compare with the Pearson correlation coefficient on the same data.

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