normalizedLermanIndex {partitionComparison}

Normalized Lerman Index

Description

Compute the normalized Lerman index

L(P, Q) / \sqrt{L(P, P)L(Q, Q)}

where L is the Lerman index.

Usage

normalizedLermanIndex(p, q, c = NULL)

## S4 method for signature 'Partition,Partition,missing'
normalizedLermanIndex(p, q, c = NULL)

## S4 method for signature 'Partition,Partition,PairCoefficients'
normalizedLermanIndex(p, q, c = NULL)

Arguments

p

The partition P

q

The partition Q

c

PairCoefficients or NULL

Methods (by class)

• normalizedLermanIndex(p = Partition, q = Partition, c = missing): Compute given two partitions

• normalizedLermanIndex(p = Partition, q = Partition, c = PairCoefficients): Compute given the partitions and pair coefficients

Author(s)

Fabian Ball [e-mail]

References

Lerman IC (1988). “Comparing Partitions (Mathematical and Statistical Aspects).” In Bock H (ed.), Classification and Related Methods of Data Analysis, 121–132.

Hubert L, Arabie P (1985). “Comparing Partitions.” Journal of Classification, 2(1), 193–218.

See Also

lermanIndex

Examples

isTRUE(all.equal(normalizedLermanIndex(new("Partition", c(0, 0, 0, 1, 1)), 
                                       new("Partition", c(0, 0, 1, 1, 1))), 1/6))