REAT (version 1.3.1)

disp:

Description

Calculating the Gini coefficient (non-standardized and standardized), the Herfindahl-Hirschman coefficient (non-standardized and standardized) and the Herfindahl-Hirschman equivalent number and the coefficient of variation (non-standardized and standardized)

Usage

disp(x)

Arguments

x

a numeric vector containing the regarded objects

Value

a list with the 7 entires (=result values):

HHI

Herfindahl-Hirschman coefficient, non-standardized

HHIn

Herfindahl-Hirschman coefficient, standardized

HHIeq

Herfindahl-Hirschman equivalent number

GINI

Gini coefficient, non-standardized

GINIn

Gini coefficient, standardized

CV

Coefficient of variation, non-standardized

CVn

Coefficient of variation, standardized

Details

The Gini coefficient and the Herfindahl-Hirschman coefficient are measures of the degree of a concentration (e.g. household income, sales or market shares of firms in an industry, distribution of facilities in regions). The coefficient of variation is a simple standardized measure of distribution. This function returns these coefficients as non-standardized (\(G\), \(HHI\), \(CV\)) and standardized values (\(G*\), \(HHI*\), \(CV*\)) and the HHI equivalent number (\(HHI_{eq}\)). For more information about the coefficients, see the single function documentations (gini, herf, herf.eq and cv).

References

Bahrenberg, G./Giese, E./Mevenkamp, N./Nipper, J. (2010): “Statistische Methoden in der Geographie. Band 1: Univariate und bivariate Statistik”. Stuttgart: Borntraeger. Doersam, P. (2004): “Wirtschaftsstatistik anschaulich dargestellt”. Heidenau : PD-Verlag. Lessmann, C. (2005): “Regionale Disparitaeten in Deutschland und ausgesuchten OECD-Staaten im Vergleich”. ifo Dresden berichtet, 3/2005. https://www.cesifo-group.de/link/ifodb_2005_3_25-33.pdf.

See Also

gini, herf, cv

Examples

# Example from Doersam (2004)
# (Sales of four car manufacturing firms)
sales <- c(20,50,20,10)
disp(sales)

# Supply and distribution of physicians:
data(health4)
# Medical supply in the 420 regions
disp(health4$phys_gen)