Kendall Tau Correlation Calculator
Summarize rank agreement when only concordant and discordant pair totals are available. The tool shows the method and key assumptions so you can inspect how the input values lead to the estimate.
How to use this calculator
- Enter concordant pairs using the unit and definition shown beside the input.
- Enter discordant pairs using the unit and definition shown beside the input.
- Check that all values refer to the same time period and scenario.
- Review the outputs alongside the assumptions before using them in a decision.
Formula and assumptions
τₐ=(C−D)/(C+D), ignoring ties.
- This is Kendall tau-a from supplied comparable pairs; it does not adjust for ties. If your data contain ties, use a tau-b implementation based on the original observations.
- The estimate is calculated from values you enter. It does not connect to external accounts, obtain live prices, or validate local regulations or engineering specifications.
Worked examples
Worked example
142 concordant and 48 discordant pairs yield τₐ≈0.495.
Enter nonnegative integer pair counts from the ranking comparison.
The coefficient describes association, not causation.
Understanding the result
This is Kendall tau-a from supplied comparable pairs; it does not adjust for ties. If your data contain ties, use a tau-b implementation based on the original observations.
Change one input at a time to see how sensitive the output is to that assumption.
Important notes
This is Kendall tau-a from supplied comparable pairs; it does not adjust for ties. If your data contain ties, use a tau-b implementation based on the original observations.
Frequently asked questions
What formula does the Kendall Tau Correlation Calculator use?
τₐ=(C−D)/(C+D), ignoring ties.
What should I verify before relying on the result?
This is Kendall tau-a from supplied comparable pairs; it does not adjust for ties. If your data contain ties, use a tau-b implementation based on the original observations.
Can I compare different scenarios?
Yes. Change one assumption at a time, keep units and definitions consistent, and save the inputs used for each comparison.
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This page provides a calculation tool plus explanatory information so you can understand what the result means and when the underlying method may not fit your situation.