decompGEI: Decomposition by Groups for GEI

In IC2: Inequality and Concentration Indices and Curves

Description

Decomposes by population subgroups a generalized entropy inequality measure within a vector.

Usage

decompGEI(x, z, w = NULL, alpha = 1, ELMO = TRUE)

Arguments

x	Numeric vector with non-negative values (strictly positive when alpha=0 or alpha=1).
z	Factor who determines the subgroups.
w	Numeric vector of sampling weigths (optional).
alpha	Parameter of the generalized entropy index. Theil index (TT) is calculated for alpha=1, the mean log deviation (TL) for alpha=0.
ELMO	When ELMO is TRUE, a "maximum" between-group inequality index is estimated using the Elbers and alii method (2005).

Value

A list of class "ICI" with components:

ineq	a list with components GEI (value of inequality index) and alpha (value of parameter).
decomp	a list with components within (value of within-group inequality), between (value of between-group inequality) and, if ELMO is TRUE, betweenELMO (value of maximum between-group inequality).
intra	a list with components GEIGroups (the subgroup values of inequality index) and contribGEIGroups (the contribution of each subgroup to the total within-groups inequality).
ws	a list with components wIntra (the subgroup weights) and sIntra (the subgroup shares of x).
nas	a list with NA counts, including components xNA, zNA, wNA and totalNA.

References

Cowell F.A. (2000) Measurement of Inequality. In Atkinson A.B., Bourguignon F. (Eds.) Handbook of Income Distribution. Elsevier, Vol. 1, pp. 87-166.

Elbers C., Lanjouw P., Mistiaen J.A., Ozler B. (2005) Re-Interpreting Sub-Group Inequality Decompositions. World Bank, World Bank Policy Research Working Paper 3687, 42 p.

See Also

calcGEI

Examples

data(hhbudgets)

decompGEI(hhbudgets[,"ingreso"], hhbudgets[,"estructura"], alpha=4)
summary(hhbudgets[,"tenencia"]) #35 NA's
decompGEI(x=hhbudgets[,"transporte"], z=hhbudgets[,"tenencia"], w=hhbudgets[,"factor"], ELMO=FALSE)
summary(decompGEI(x=hhbudgets[,"transporte"], z=hhbudgets[,"tenencia"], w=hhbudgets[,"factor"], alpha=1.5))

Example output

$ineq
$ineq$index
     GEI 
128.0722 

$ineq$parameter
alpha 
    4 


$decomp
$decomp$within
[1] 128.0624

$decomp$between
[1] 0.00984258

$decomp$betweenELMO
[1] 23.42324


$intra
$intra$GEIGroups
unipersonal     nuclear    ampliado   compuesto coresidente 
  3.9893931 181.5403932   4.8945765   0.7425743   0.1760261 

$intra$contribGEIGroups
 unipersonal      nuclear     ampliado    compuesto  coresidente 
  0.12572964 126.50647452   1.39971064   0.01596111   0.01448319 


$ws
$ws$wIntra
unipersonal     nuclear    ampliado   compuesto coresidente 
0.114476790 0.614083399 0.263965382 0.003540519 0.003933910 

$ws$sIntra
unipersonal     nuclear    ampliado   compuesto coresidente 
0.082922195 0.633804602 0.269302892 0.005557520 0.008412791 


$nas
$nas$xNA
[1] 0

$nas$zNA
[1] 0

$nas$wNA
NULL

$nas$totalNA
[1] 0


attr(,"class")
[1] "ICI"
       rentada       prestada propia_pagando         propia        litigio 
           501            432            159           1343             63 
          otra           NA's 
             9             35 
NULL
    GEI          alpha        
0.61155        1.50000        

Decomposition:
  within   between  
0.599633  0.011912  
betweenELMO  
    0.42559  

IC2 documentation built on May 1, 2019, 7:49 p.m.