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Kendall correlation

Explanations > Social Research > Analysis > Kendall correlation

Description | Example | Discussion | See also

Description

The Kendall Tau Rank Correlation Coefficient is used to measure the degree of correspondence between sets of rankings where the measures are not equidistant. It is used with non-parametric data

The Kendall coefficient is denoted with the Greek letter tau ( $τ$ ).

$τ = (4P / (n * (n - 1))) - 1$

$Where P is the number of concordant pairs and is calculated as the sum over all the items, of items ranked after the given item by both rankings.$

Example

A group of people, denoted as A to E, have their IQ and hat size measured, to determine if a bigger brain makes you brainier. The people are ranked by both IQ and hat size (1 - highest rank), and put in a table, as below.

Person	A	B	C	D	E
Rank by IQ	1	2	3	4	5
Rank by hat size	3	5	2	1	4
Number of higher ranked hat sizes (lower numbers) to the right	2	3	1	0	0

Now P is the sum of the 'unexpected' rankings, measured as the sum of the number ranked hat sizes to the right (ie. in lower positions than the assessed position).

P = 2 + 3 + 1 + 0 + 0 = 6

And so:

$τ = (4*6 / (5* (6 - 1))) - 1 = 0.04$

$Which, sadly, shows very little correlation between IQ and hat size.$

Discussion

Kendall is used with two ordinal variables or an ordinal and an interval.

Before computers were commonly available, Spearman correlation was often used as a substitute as it was easier to calculate. Kendall is now often viewed as being a superior metrics.

$The measure is sometimes just referred to as'Kendall's tau'.$

SPSS: Analyze, Correlate, Bivariate, (check Kendall's tau)

See also

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Site Menu

| Home | Top | Quick Links | Settings |

Main sections: | Disciplines | Techniques | Principles | Explanations | Theories |

Other sections: | Blog! | Quotes | Guest articles | Analysis | Books | Help |

More pages: | Contact | Caveat | About | Students | Webmasters | Awards | Guestbook | Feedback | Sitemap | Changes |

Settings: | Computer layout | Mobile layout | Small font | Medium font | Large font | Translate |

Please help and share:

Quick links

Disciplines

* Argument
* Brand management
* Change Management
* Coaching
* Communication
* Counseling
* Game Design
* Human Resources
* Job-finding
* Leadership
* Marketing
* Politics
* Propaganda
* Rhetoric
* Negotiation
* Psychoanalysis
* Sales
* Sociology
* Storytelling
* Teaching
* Warfare
* Workplace design

Techniques

* Assertiveness
* Body language
* Change techniques
* Closing techniques
* Conversation
* Confidence tricks
* Conversion
* Creative techniques
* General techniques
* Happiness
* Hypnotism
* Interrogation
* Language
* Listening
* Negotiation tactics
* Objection handling
* Propaganda
* Problem-solving
* Public speaking
* Questioning
* Using repetition
* Resisting persuasion
* Self-development
* Sequential requests
* Storytelling
* Stress Management
* Tipping
* Using humor
* Willpower

Principles

Explanations

* Behaviors
* Beliefs
* Brain stuff
* Conditioning
* Coping Mechanisms
* Critical Theory
* Culture
* Decisions
* Emotions
* Evolution
* Gender
* Games
* Groups
* Habit
* Identity
* Learning
* Meaning
* Memory
* Motivation
* Models
* Needs
* Personality
* Power
* Preferences
* Research
* Relationships
* SIFT Model
* Social Research
* Stress
* Trust
* Values

Theories

* Alphabetic list
* Theory types

And

– About
– Guest Articles
– Blog!
– Books
– Changes
– Contact
– Guestbook
– Quotes
– Students
– Webmasters

| Home | Top | Menu | Quick Links |

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