fs_construct_all {FuzzyPovertyR}

Fuzzy supplementary poverty estimation.

Description

Fuzzy supplementary poverty estimation.

Usage

fs_construct_all(
  data,
  weight = NULL,
  ID = NULL,
  dimensions,
  rho = NULL,
  HCR,
  interval = c(1, 10),
  alpha = NULL,
  breakdown = NULL
)

Arguments

data

A matrix or a data frame of identified items (see Step 1 of Betti et. al, 2018)

weight

A numeric vector of sampling weights. if NULL simple random sampling weights will be used

ID

A numeric or character vector of IDs. if NULL (the default) it is set as the row sequence.

dimensions

A numeric vector (of length ncol(data)) of assignments of items in data to dimensions.

rho

The critical value to be used for calculation of weights in the kendall correlation matrix.

HCR

The value of the head count ratio.

interval

A numeric vector of length two to look for the value of alpha (if not supplied).

alpha

The value of the exponent in equation $E(mu)^(alpha-1) = HCR$. If NULL it is calculated so that it equates the expectation of the membership function to HCR.

breakdown

A Dimension of sub-domains to calculate estimates for (using the same alpha). If numeric will be coerced to a Dimension.

Value

An object of class FuzzySupplementary containing the fuzzy membership function for each unit, the point estimate (i.e. the expected value of the function), and the alpha parameter.

Examples

data("eusilc")
FS <- fs_construct_all(data = eusilc[,4:23], weight = eusilc$DB090, # step 2
                       dimensions = c(1,1,1,1,2,2,2,2,2,3,3,3,3,4,4,4,4,5,5,5), # step 3
                       rho = NULL, # steps 4 and 5
                       HCR = .12, # step 6
                       breakdown = eusilc$db040) # step 7 with breakdowns
summary(FS)
plot(FS)