Calculate Kendall's Tau correlation coefficient with our interactive tool, designed for statisticians and researchers to assess the strength of association between two variables.
Calculate Kendall's Tau to measure the strength and direction of association between two ordinal variables using a non-parametric approach.
Calculator
Results
Kendall's Tau:0.00
Data Source and Methodology
All calculations are based on the methods described in the authoritative statistical literature. For further reading, please see the standard reference "Introduction to Modern Nonparametric Statistics" by James J. Higgins.
The Formula Explained
Kendall's Tau: \( \tau = \frac{C - D}{\sqrt{(C + D + T) \cdot (C + D + U)}} \)
Glossary of Variables
C: Number of concordant pairs
D: Number of discordant pairs
T: Number of ties only in the first variable
U: Number of ties only in the second variable
Frequently Asked Questions (FAQ)
What is Kendall's Tau?
Kendall's Tau is a statistic used to measure the ordinal association between two measured quantities.
How is Kendall's Tau calculated?
It is calculated by taking the difference between the number of concordant and discordant pairs, divided by the total number of pairs.
Audit: CompleteFormula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted text)
Kendall's Tau: \( \tau = \frac{C - D}{\sqrt{(C + D + T) \cdot (C + D + U)}} \)
Variables and units
T = property tax (annual or monthly depending on input) (currency)
Calculate Kendall's Tau to measure the strength and direction of association between two ordinal variables using a non-parametric approach.
Calculator
Results
Kendall's Tau:0.00
Data Source and Methodology
All calculations are based on the methods described in the authoritative statistical literature. For further reading, please see the standard reference "Introduction to Modern Nonparametric Statistics" by James J. Higgins.
The Formula Explained
Kendall's Tau: \( \tau = \frac{C - D}{\sqrt{(C + D + T) \cdot (C + D + U)}} \)
Glossary of Variables
C: Number of concordant pairs
D: Number of discordant pairs
T: Number of ties only in the first variable
U: Number of ties only in the second variable
Frequently Asked Questions (FAQ)
What is Kendall's Tau?
Kendall's Tau is a statistic used to measure the ordinal association between two measured quantities.
How is Kendall's Tau calculated?
It is calculated by taking the difference between the number of concordant and discordant pairs, divided by the total number of pairs.
Audit: CompleteFormula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted text)
Kendall's Tau: \( \tau = \frac{C - D}{\sqrt{(C + D + T) \cdot (C + D + U)}} \)
Variables and units
T = property tax (annual or monthly depending on input) (currency)
Calculate Kendall's Tau to measure the strength and direction of association between two ordinal variables using a non-parametric approach.
Calculator
Results
Kendall's Tau:0.00
Data Source and Methodology
All calculations are based on the methods described in the authoritative statistical literature. For further reading, please see the standard reference "Introduction to Modern Nonparametric Statistics" by James J. Higgins.
The Formula Explained
Kendall's Tau: \( \tau = \frac{C - D}{\sqrt{(C + D + T) \cdot (C + D + U)}} \)
Glossary of Variables
C: Number of concordant pairs
D: Number of discordant pairs
T: Number of ties only in the first variable
U: Number of ties only in the second variable
Frequently Asked Questions (FAQ)
What is Kendall's Tau?
Kendall's Tau is a statistic used to measure the ordinal association between two measured quantities.
How is Kendall's Tau calculated?
It is calculated by taking the difference between the number of concordant and discordant pairs, divided by the total number of pairs.
Audit: CompleteFormula (LaTeX) + variables + units
This section shows the formulas used by the calculator engine, plus variable definitions and units.
Formula (extracted LaTeX)
\[','\]
','
Formula (extracted text)
Kendall's Tau: \( \tau = \frac{C - D}{\sqrt{(C + D + T) \cdot (C + D + U)}} \)
Variables and units
T = property tax (annual or monthly depending on input) (currency)