parsec (version 1.1.1)

AF: OPHI counting approach

Description

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

Usage

AF(y, ...)
## S3 method for class 'default':
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, it can be substituted by an object of class wprof.

z

vector of attribute cutoffs.

w

variables weights.

k

overall cutoff.

freq

profiles frequencies, if y is an object of class wprof this argument can be omitted.

...

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 with the following arguments
• y
  matrix of profiles,
• freq
  profile frequencies,
• d
  number of variables
• n
  number of observations (sun of frequencies),
• z
  vector of cutoffs,
• k
  overall cutoff,
• rho
  function comparing profiles with the vector of cutoffs,
• rho_k
  function comparing profiles with the overall cutoff, by weighting variables,
• g0
  profile-variable matrix reporting the output of function rho,
• c
  censored vector of deprivation counts,
• Z_k
  a boolean vector identifying deprived profiles, according to specified cutoffs,
• q
  number of poor statstical units in the population,
• H
  headcount ratio, i.e. of 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