Spearman's Rank Correlation Calculator
Calculate rank-based correlation to measure monotonic relationships.
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Enter at least 3 paired X and Y values. The calculator ranks each dataset, then computes the Pearson correlation on those ranks (which correctly handles ties). The result ranges from -1 (perfect negative monotonic) to 1 (perfect positive monotonic), with an interpretation of strength.
About Spearman's Rank Correlation
Spearman's rs is a non-parametric measure of the monotonic relationship between two variables. Unlike Pearson's r, it does not assume a linear relationship or normal distribution. It converts data to ranks and measures how well the relationship can be described by a monotonic function. It is widely used in social sciences, medicine, and any context where data may not be normally distributed.
Frequently Asked Questions
What is a monotonic relationship?
A monotonic relationship means as one variable increases, the other always increases (or always decreases), but not necessarily at a constant rate. It is a broader concept than linear correlation.
How are ties handled?
Tied values receive the average of the ranks they would have occupied. This calculator uses Pearson correlation on ranks, which correctly accounts for ties without needing the simplified formula.
When is Spearman better than Pearson?
Use Spearman when: the relationship is monotonic but not linear, the data is ordinal, the distribution is non-normal, or there are significant outliers that would distort Pearson's r.