Farina: Calculates the Farina index

Description Usage Arguments Details Value Author(s) References See Also

View source: R/Farina.R

Description

Calculates the Farina index based on a population vector and a vector for the representatives

Usage

1
Farina(Z,R)

Arguments

Z

Population vector

R

Vector for the representatives

Details

This calculated the Farina index as outlined in Kestelman 1999. It refers to a suggestion by J.E.G. Farina to use the cosine as a similarity index. Cosine similarity is not a proper metric, though.

Farina = \arccos(∑(Z*R)/(∑(Z^2)*∑(R^2))^{\frac{1}{2}})

The order of the groups in the population vector and the vector for the representatives needs to be the same. If there are groups A, B, C in the population, both vectors need to cover their proportion in the same order.

Value

A single score given the population and representatives

Author(s)

Didier Ruedin

References

Kestelman, P. 1999. 'Quantifying Representativity'. Voting Matters 10. http://www.votingmatters.org.uk/ISSUE10/P6.HTM.

See Also

cosfun


polrep documentation built on Oct. 9, 2017, 3:01 p.m.