Inverted Modified Gallagher index

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Description

Calculates a modified Gallagher index (inverted).

Usage

1
GallagherModInv(Z,R)

Arguments

Z

Population vector

R

Vector for the representatives

Details

The representation score is calculated as: 1 - sqrt(sum((Z.mod-R.mod)^2)/2), where Z.mod is Z/sum(Zi^2)^.5, and R.mod is R/sum(Ri^2)^.5

Value

Representation score

Author(s)

Didier Ruedin

References

Koppel, M. and Diskin, A. (2009) Measuring disproportionality, volatility and malapportionment: axiomatization and solutions. Social Choice and Welfare 33(2):281-6.

See Also

GallagherInv, GallagherMod

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