AF: OPHI counting approach

In parsec: Partial Orders in Socio-Economics

OPHI counting approach

Description

The function implements the OPHI counting approach, in a single call. The implementation is limited to ordinal attributes.

Usage

AF(y, ...)
## Default S3 method:
AF(y, z, w=rep(1, ncol(y)), k=sum(w), freq=rep(1, nrow(y)), ...)
## S3 method for class 'wprof'
AF(y, ...)

Arguments

y	matrix of profiles, possibly substituted by an object of class wprof.
z	vector of attribute cutoffs.
w	variables' weights.
k	overall cutoff.
freq	profiles' frequencies; the argument can be omitted if y is an object of class wprof. .
...	any of the above.

Value

An object of S3 class ophi containing all the outputs related to the OPHI counting approach. The object is a list comprising:

y	matrix of profiles,
freq	profiles' frequencies,
d	number of variables
n	number of observations (sum of frequencies),
z	vector of cutoffs,
k	overall cutoff,
rho	function comparing profiles to the vector of cutoffs,
rho_k	function comparing profiles to the overall cutoff, by weighting variables,
g0	profile-variable matrix reporting the output of function rho,
c	censored vector of deprivation counts,
Z_k	boolean vector identifying deprived profiles, according to the specified cutoffs,
q	number of poor statstical units in the population,
H	headcount ratio, i.e. q/n, where n is the number of statistical units in the population,
A	average deprivation share,
M0	adjusted headcount ratio.

References

Alkire S., Foster J. (2011), Counting and multidimensional poverty measurement, Journal of Public Economics, 96(7-8), 476-487.

Examples

vl <- c(2, 3, 3, 2)
prof <- var2prof(varlen = vl)

res <- AF(prof, z = c(1, 2, 1, 1), k = 1)

res

parsec documentation built on Aug. 19, 2023, 5:07 p.m.