Proportionality: Indexes of (Disproportionality) Proportionality

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

Description

Calculates several indexes of (dis)-proportionality, which are for the most part used to show the relationship of votes to seats.

Usage

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Proportionality(v, s, index = "Gallagher", ...)

## Default S3 method:
Proportionality(v, s, index = "Gallagher", margin = 1,
  ...)

Arguments

v

a numeric vector with the percentage share of votes obtained by each party.

s

a numeric vector with the percentage share of seats obtained by each party.

index

the desired method or type of index, see details below for the correct name.

margin

The margin for which the index is computed.

...

additional arguments (currently ignored)

Details

The following measures are available:

Value

Each iteration returns a single score.

Author(s)

Daniel Marcelino dmarcelino@live.com

References

Duncan, O. and Duncan, B. (1955) A methodological analysis of segregation indexes. American Sociological Review 20:210-7.

Gallagher, M. (1991) Proportionality, disproportionality and electoral systems. Electoral Studies 10(1):33-51.

Loosemore, J. and Hanby, V. (1971) The theoretical limits of maximum distortion: Som analytical expressions for electoral systems. British Journal of Political Science 1:467-77.

Koppel, M., and A. Diskin. (2009) Measuring disproportionality, volatility and malapportionment: axiomatization and solutions. Social Choice and Welfare 33, no. 2: 281-286.

Rae, D. (1967) The Political Consequences of Electoral Laws. London: Yale University Press.

Rose, Richard, Neil Munro and Tom Mackie (1998) Elections in Central and Eastern Europe Since 1990. Glasgow: Centre for the Study of Public Policy, University of Strathclyde.

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

PoliticalDiversity, LargestRemainders, HighestAverages. For more details, see the Indices vignette: vignette("Indices", package = "SciencesPo").

Examples

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#' # 2012 Queensland state elecion
pvotes= c(49.65, 26.66, 11.5, 7.53, 3.16, 1.47)
pseats = c(87.64, 7.87, 2.25, 0.00, 2.25, 0.00)

Proportionality(pvotes, pseats) # default is Gallagher

Proportionality(pvotes, pseats, index="Rae")

# Proportionality(pvotes, pseats, index="Cox-Shugart")

# 2012 Quebec provincial election:
pvotes = c(PQ=31.95, Lib=31.20, CAQ=27.05, QS=6.03, Option=1.89, Other=1.88)
pseats = c(PQ=54, Lib=50, CAQ=19, QS=2, Option=0, Other=0)

Proportionality(pvotes, pseats, index="Rae")

SciencesPo documentation built on May 29, 2017, 9:28 p.m.