folwkesMallowsIndex {partitionComparison}

Folwkes & Mallows Index

Description

Compute the index of Folwkes and Mallows

\sqrt{\frac{N_{11}}{N_{21}} \frac{N_{11}}{N_{12}}}

which is a combination of the two Wallace indices.

Usage

folwkesMallowsIndex(p, q)

## S4 method for signature 'Partition,Partition'
folwkesMallowsIndex(p, q)

## S4 method for signature 'PairCoefficients,missing'
folwkesMallowsIndex(p, q = NULL)

Arguments

p

The partition P or an instance of PairCoefficients

q

The partition Q or NULL

Methods (by class)

• folwkesMallowsIndex(p = Partition, q = Partition): Compute given two partitions

• folwkesMallowsIndex(p = PairCoefficients, q = missing): Compute given the pair coefficients

Author(s)

Fabian Ball [e-mail]

References

Fowlkes EB, Mallows CL (1983). “A Method for Comparing Two Hierarchical Clusterings.” Journal of the American Statistical Association, 78(383), 553–569.

See Also

wallaceI wallaceII

Examples

isTRUE(all.equal(folwkesMallowsIndex(new("Partition", c(0, 0, 0, 1, 1)), 
                                     new("Partition", c(0, 0, 1, 1, 1))), 0.5))