svyfgtdec: FGT indices decomposition (EXPERIMENTAL) In convey: Income Concentration Analysis with Complex Survey Samples

 svyfgtdec R Documentation

FGT indices decomposition (EXPERIMENTAL)

Description

Estimate the Foster et al. (1984) poverty class and its components

Usage

```svyfgtdec(formula, design, ...)

## S3 method for class 'survey.design'
svyfgtdec(
formula,
design,
g,
type_thresh = "abs",
abs_thresh = NULL,
percent = 0.6,
quantiles = 0.5,
na.rm = FALSE,
thresh = FALSE,
...
)

## S3 method for class 'svyrep.design'
svyfgtdec(
formula,
design,
g,
type_thresh = "abs",
abs_thresh = NULL,
percent = 0.6,
quantiles = 0.5,
na.rm = FALSE,
thresh = FALSE,
...
)

## S3 method for class 'DBIsvydesign'
svyfgtdec(formula, design, ...)
```

Arguments

 `formula` a formula specifying the income variable `design` a design object of class `survey.design` or class `svyrep.design` from the `survey` library. `...` additional arguments. Currently not used. `g` If g=2 estimates the average squared normalised poverty gap. This function is defined for g >= 2 only, `type_thresh` type of poverty threshold. If "abs" the threshold is fixed and given the value of abs_thresh; if "relq" it is given by percent times the quantile; if "relm" it is percent times the mean. `abs_thresh` poverty threshold value if type_thresh is "abs" `percent` the multiple of the the quantile or mean used in the poverty threshold definition `quantiles` the quantile used used in the poverty threshold definition `na.rm` Should cases with missing values be dropped? `thresh` return the poverty threshold value

Details

you must run the `convey_prep` function on your survey design object immediately after creating it with the `svydesign` or `svrepdesign` function.

Value

Object of class "`cvydstat`", with estimates for the FGT(g), FGT(0), FGT(1), income gap ratio and GEI(income gaps; epsilon = g) with a "`var`" attribute giving the variance-covariance matrix. A "`statistic`" attribute giving the name of the statistic.

Note

This function is experimental and is subject to change in later versions.

Author(s)

Guilherme Jacob, Djalma Pessoa and Anthony Damico

References

Oihana Aristondo, Cassilda Lasso De La vega and Ana Urrutia (2010). A new multiplicative decomposition for the Foster-Greer-Thorbecke poverty indices. Bulletin of Economic Research, Vol.62, No.3, pp. 259-267. University of Wisconsin. <doi:10.1111/j.1467-8586.2009.00320.x>

James Foster, Joel Greer and Erik Thorbecke (1984). A class of decomposable poverty measures. Econometrica, Vol.52, No.3, pp. 761-766.

Guillaume Osier (2009). Variance estimation for complex indicators of poverty and inequality. Journal of the European Survey Research Association, Vol.3, No.3, pp. 167-195, ISSN 1864-3361, URL https://ojs.ub.uni-konstanz.de/srm/article/view/369.

Jean-Claude Deville (1999). Variance estimation for complex statistics and estimators: linearization and residual techniques. Survey Methodology, 25, 193-203, URL https://www150.statcan.gc.ca/n1/en/catalogue/12-001-X19990024882.

`svyfgt,svyfgt,svyfgt`

Examples

```library(survey)
library(laeken)
data(eusilc) ; names( eusilc ) <- tolower( names( eusilc ) )

# linearized design

des_eusilc <- svydesign( ids = ~rb030 , strata = ~db040 ,  weights = ~rb050 , data = eusilc )
des_eusilc <- convey_prep( des_eusilc )

# replicate-weighted design
des_eusilc_rep <- as.svrepdesign( des_eusilc , type = "bootstrap" )
des_eusilc_rep <- convey_prep( des_eusilc_rep )

# absolute poverty threshold
svyfgtdec(~eqincome, des_eusilc, g=2, abs_thresh=10000)
# poverty threshold equal to arpt
svywattsdec(~eqincome, des_eusilc, g=2, type_thresh= "relq" , thresh = TRUE)
# poverty threshold equal to 0.6 times the mean
svywattsdec(~eqincome, des_eusilc, g=2, type_thresh= "relm" , thresh = TRUE)

# using svrep.design:
# absolute poverty threshold
svyfgtdec(~eqincome, des_eusilc_rep, g=2, abs_thresh=10000)
# poverty threshold equal to arpt
svywattsdec(~eqincome, des_eusilc_rep, g=2, type_thresh= "relq" , thresh = TRUE)
# poverty threshold equal to 0.6 times the mean
svywattsdec(~eqincome, des_eusilc_rep, g=2, type_thresh= "relm" , thresh = TRUE)

## Not run:

# database-backed design
library(RSQLite)
library(DBI)
dbfile <- tempfile()
conn <- dbConnect( RSQLite::SQLite() , dbfile )
dbWriteTable( conn , 'eusilc' , eusilc )

dbd_eusilc <-
svydesign(
ids = ~rb030 ,
strata = ~db040 ,
weights = ~rb050 ,
data="eusilc",
dbname=dbfile,
dbtype="SQLite"
)

dbd_eusilc <- convey_prep( dbd_eusilc )

# absolute poverty threshold
svyfgtdec(~eqincome, dbd_eusilc, g=2, abs_thresh=10000)
# poverty threshold equal to arpt
svywattsdec(~eqincome, dbd_eusilc, g=2, type_thresh= "relq" , thresh = TRUE)
# poverty threshold equal to 0.6 times the mean
svywattsdec(~eqincome, dbd_eusilc, g=2, type_thresh= "relm" , thresh = TRUE)

dbRemoveTable( conn , 'eusilc' )

dbDisconnect( conn , shutdown = TRUE )

## End(Not run)

```

convey documentation built on April 28, 2022, 1:06 a.m.