Enter X and Y values, then click Calculate Spearman ρ.

The Spearman rank correlation coefficient (ρ, often denoted as rₛ) is a non-parametric measure of the strength and direction of the monotonic relationship between two variables. Unlike Pearson's correlation, Spearman's ρ does not assume a linear relationship; it measures how well the relationship can be described by a monotonic function. The calculation involves converting the original data to ranks, then computing the Pearson correlation on the ranked data. The formula is ρ = 1 - (6·Σd²) / (n·(n²-1)), where d is the difference between the ranks of each pair, and n is the number of pairs. Values range from -1 to +1, with interpretation similar to Pearson's r. This calculator is widely used when data is ordinal, non-normally distributed, or when the relationship is not linear.

1. Enter the X Values in the first text area (comma or space separated).
2. Enter the Y Values in the second text area (same separator).
3. Both data sets must have the same number of values.
4. Click Calculate Spearman ρ to compute the rank correlation.
5. The result shows ranks, sum of squared differences, and ρ.
6. Click Reset to restore default example values.