ege2 {educineq} | R Documentation |
Generalized entropy measure of education
Description
ege2
function computes the generalized entropy measure of education, with
the sensitivity parameter set to 2, for any group of countries included
in the dataset developed in Jorda and Alonso (2017). The function also
provides a decomposition of this index in between-county and within-
country inequality.
Usage
ege2(countries, init.y, final.y, database, plot = TRUE)
Arguments
countries |
character vector with the country codes of the countries
to be used. Some macro-regions are already defined and can be used
instead of the country codes: |
init.y |
the first year in which the function is calculated. Available years are 1970, 1975, 1980, 1985, 1990, 1995, 2000, 2005, 2010. |
final.y |
the last year in which the function is calculated Available years are 1970, 1975, 1980, 1985, 1990, 1995, 2000, 2005, 2010. |
database |
population subgrup for which the function is calculated. The following options are available:
|
plot |
if |
Details
The estimates of the generalized entropy measure for the specified group of countries can be easily derived by taking advantage of the decomposition of this family. It is computed as the sum of the following terms, which correspond to within- country and between, country inequality respectively (see, e.g., Cowell, 2011):
GE(2)_W=\sum_{i=1}^{N} s_i^2 p_i^{-1} GE(2)_i;
GE(2)_B= 0.5 \sum_{i=1}^{N} p_i (\mu_i / \mu)^2 -1,
where N is the number of countries, GE(2)_i
and p_i
denote,
respectively, the generalized entropy measure and the population weight of the
country i, and s_i
stands for the proportion of mean income of the
country i in the overall mean of the group:
s_i=\lambda_i \mu_i / \sum_{i=1}^{N} \lambda_i \mu_i
.
Value
ege2
returns a list with the following objects:
-
GE_2
: evolution of the generalized entropy measure of education from the initial to the last year, decomposed in between-country and within-country inequality. -
countries
: countries used to compute the generalized entropy measure. If
plot = TRUE
, graphical representation of the numerical results.
References
Cowell, F. (2011). Measuring inequality. Oxford University Press.
Jorda, V. and Alonso, J.M. (2017). New estimates on educational attainment using a continuous approach (1970-2010), World Development, 90, 281 - 293. http://www.sciencedirect.com/science/article/pii/S0305750X16305010
See Also
data_country
. Visit http://www.educationdata.unican.es
for more information on the constructoin of the dataset and the available
countries.
Examples
ege2(countries = "all", init.y = 1980, final.y = 2000,
database = "total25")
ege2(countries = c("DNK", "FIN", "ISL", "NOR", "SWE"), init.y = 1980,
final.y = 2000, database = "female15")