Compute Concordance Matrix

Description

concordance calculates the concordance matrix between two partitions of the same data.

Usage

  concordance(part1, part2)

Arguments

Details

Given two partitions, the function concordance calculates the number of pairs classified as belonging or not belonging to the same cluster with respect to partitions part1 or part2.

Value

A 2x2 matrix of the form :

      |  P1   |  P2   |
  ____________________
   P1 |  Nyy  |  Nyn  |
   P2 |  Nny  |  Nnn  |
  ____________________

where

• Nyy is the number of points belonging to the same cluster both in part1 and part2

• Nyn is the number of points belonging to the same cluster in part1 but not in part2

• Nny is the number of points belonging to the same cluster in part2 but not in part1

• Nnn is the number of points not belonging to the same cluster both in part1 and part2

Author

Bernard Desgraupes
bernard.desgraupes@u-paris10.fr
University of Paris Ouest - Nanterre
Lab Modal'X (EA 3454)

See Also

extCriteria, intCriteria.

Examples

# Generate two artificial partitions
part1<-sample(1:3,150,replace=TRUE)
part2<-sample(1:5,150,replace=TRUE)

# Compute the table of concordances and discordances
concordance(part1,part2)

Results