GrofmanInv: Calculates the inverted Grofman index of proportionality

In polrep: Calculate Political Representation Scores

Calculates the inverted Grofman index of proportionality

Description

Calculates the inverted Grofman index of proportionality based on a population vector and a vector for the representatives

Usage

GrofmanInv(Z,R)

Arguments

Z	Population vector
R	Vector for the representatives

Details

The order of the groups in he 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.

The inverted Grofman index is 1 minus the sum the absolute differences between the proportion of the population and representatives in each group. A division by the effective number of groups is applied.

Value

A single score given the population and representatives

Author(s)

Didier Ruedin

References

Taagepera, R., and B. Grofman. Mapping the indices of seats-votes disproportionality and inter-election volatility. Party Politics 9, no. 6 (2003): 659-77.

See Also

Grofman, GrofmanModInv

polrep documentation built on Jan. 5, 2024, 3:01 a.m.