polarisation.ER {acid}

Polarisation Measure from Esteban and and Ray (1994)

Description

This function computes the polarisation measure proposed in Esteban and and Ray (1994).

Usage

polarisation.ER(alpha, rho, comp = FALSE)

Arguments

alpha

a scalar containing the alpha parameter from Esteban and Ray (1994) on the sensitivity to polarisation.

rho

a dataframe with the group means in the first column and their respective population shares in the second. The groups need to be exogenously defined.

Note: the two columns should be named means and ”shares” respectively. Otherwise a warning will appear.

comp

logical; if TRUE, all components pf p_i^(a+alpha)*p_j*abs(y_i-y_j)

Value

P

the polarisation measure proposed by Esteban and Ray (1994).

means

the means stored in rho.

shares

the shares stored in rho..

ERcomp

if comp is TRUE, the components aggregated in P.

Author(s)

Alexander Sohn

References

Esteban, J. and Ray, D. (1994): On the Measurment of Polarization, in: Econometrica, Vol. 62(4), pp. 819-851.

See Also

polarisation.EGR

Examples

means<-rnorm(10)+5
shares<-  rep(1,length(means))
shares<-shares/sum(shares)
rho<-data.frame(means=means,shares=shares)
alpha<-1
polarisation.ER(alpha,rho,comp=FALSE)