linqsr: Linearization of the income quintile share ratio

Description

Estimate the quintile share ratio, which is defined as the ratio of the sum of equalized disposable income received by the top 20% to the sum of equalized disposable income received by the bottom 20%, and its linearization.

Usage

linqsr(Y, id=NULL, weight=NULL, sort = NULL,
       Dom = NULL, period=NULL, dataset = NULL,
       alpha = 20, var_name="lin_qsr")

Arguments

Study variable (for example equalized disposable income). One dimensional object convertible to one-column data.frame or variable name as character, column number or logical vector with only one TRUE value (length of the vector h

Optional variable for unit ID codes. One dimensional object convertible to one-column data.frame or variable name as character, column number or logical vector with only one TRUE value (length of the vector has to be the same as

weight

Optional weight variable. One dimensional object convertible to one-column data.frame or variable name as character, column number or logical vector with only one TRUE value (length of the vector has to be the same as the column

sort

Optional variable to be used as tie-breaker for sorting. One dimensional object convertible to one-column data.frame or variable name as character, column number or logical vector with only one TRUE value (length of the vector ha

Dom

Optional variables used to define population domains. If supplied, linearization of the income quintile share ratio is done for each domain. An object convertible to data.frame or variable names as character vector, column numbers or logical

period

Optional variable for survey period. If supplied, linearization of the income quintile share ratio is done for each time period. Object convertible to data.frame or variable names as character, column numbers or logical vector (length of the

dataset

Optional survey data object convertible to data.frame.

alpha

a numeric value in range $[0,100]$ for the order of the income quantile share ratio (in percentage).

var_name

A character specifying the name of the linearized variable.

Value

A list with two objects are returned by the function:
valueA data.frame containing the estimated income quintile share ratio (in percentage).
linA data.frame containing the linearized variables of the income quintile share ratio (in percentage).

References

Working group on Statistics on Income and Living Conditions (2004) Common cross-sectional EU indicators based on EU-SILC; the gender pay gap. EU-SILC 131-rev/04, Eurostat. 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 http://www5.statcan.gc.ca/bsolc/olc-cel/olc-cel?lang=eng&catno=12-001-X19990024882.

Examples

Run this code

data(eusilc)
dati <- data.frame(1:nrow(eusilc),eusilc)
colnames(dati)[1] <- "IDd"

# Full population
dd <- linqsr(Y="eqIncome", id="IDd", weight="rb050",
             Dom=NULL, dataset= dati, alpha=20)
dd$value

# By domains
dd <- linqsr(Y="eqIncome", id="IDd", weight="rb050",
             Dom="db040", dataset= dati, alpha=20)
dd$value