(Weighted) Party System Dispersion

Quick Info
Polarization: ideological elite
Data: marpor
Use Cases: @ezrow_variance_2007 @dreyer_does_2019,

Description

Ezrow (2007) proposed the (Weighted) Party System Dispersion measure, which is basically a weighted standard deviation formula. Both Ezrow (2007) and Dreyer and Bauer (2019) use MARPOR data to measure party positions, but in principle it can be used with other datasets that contain the required information, i.e. party positions.

Operationalization

The (weighted) party system dispersion is measured as follows:

$Weighted~party~system~dispersion = \sqrt{\sum_{j=1} VS_{j} (P_{jk} - \bar{P}_k)^2}$

where $P_{jk}$ is the ideological position of party $j$ in country $k$ and $\bar{P_k}$ is the weighted average of the left-right ideological positions of all parties in country year $k$. $VS_j$ is the vote share of party $j$ in the last national election.

polaR

We have written custom R functions for coding this measure and assembled it, along with other functions, into an R package that is currently under development. The package can be installed from GitLab. Comments, suggestions, and feature requests are welcome.
# Import Data
cses_imd <- polaR_import(source = "cses_imd",
						 path = "path/to/dataset.dta")

# Where different issue dimensions are available, 'issue' can be issued to specify it
cses_imd <- dispersion(cses_imd, 
					   issue = "leftright")

Visualization

Use cases

Publication that use this measure:

TitleAuthors
Does voter polarisation induce party extremism?Dreyer and Bauer (2019)
The Variance MattersEzrow (2007)