How does the Spearman Correlation work?

Rank each variable from 1 to n Then: rs = 1 − (6Σd²) / (n(n²−1)) Then: d = difference in ranks for each pair Then: Perfect rank agreement → rs=1; perfect reversal → rs=−1.

Can you give an example of how to use the Spearman Correlation?

Example: Input Two raters rank 5 items: d² values: 1,0,4,1,0 gives a result of rs = 0.7 — moderate to strong rank correlation (1−6×6/(5×24)=0.7).

Is the Spearman Correlation free to use?

Yes — completely free with no registration, download, or subscription required. All calculations happen instantly in your browser.

How accurate is the Spearman Correlation?

Our Spearman Correlation uses verified mathematical formulas and is accurate to multiple decimal places. Results are calculated in real-time using the same methods used by professionals.

What statistical method does this Spearman Correlation use?

This calculator uses industry-standard statistical formulas. For research use, always report your full methodology including sample size, confidence levels, and any assumptions made.

ریاضی

Spearman Correlation

📊Spearman Rank Correlation

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Y values (comma separated)

Spearman's rank correlation (rs) measures the strength of the monotonic relationship between two variables using their ranks. It is the non-parametric equivalent of Pearson's r and is more robust to outliers.

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Did You Know?

Spearman correlation is preferred in psychology and social sciences where data is often ordinal (Likert scales, rankings) rather than truly continuous.

References

›Spearman's rank correlation — Wikipedia

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Spearman Correlation

📊Spearman Rank Correlation

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