Multivariate optimal allocation

Multivariate optimal allocation for different domains of interest in stratified sample design under a given stratification of the sampling frame

bethel  (
          stratif,
          errors, 
          minnumstrat=2,          
          maxiter=200,
          maxiter1=25,
          printa=FALSE,
      realAllocation=FALSE,
          epsilon=1e-11
          )

Arguments

errors

Data frame of coefficients of variation for each domain

stratif

Data frame of survey strata

minnumstrat

Minimum number of units per strata (default=2)

maxiter

Maximum number of iterations of the algorithm (default=200)

maxiter1

Maximum number of iterations (default=25) of the general procedure. This kind of iteration may be required by the fact that when in a stratum the number of allocated units is greater or equal to its population, that stratum is set as "census stratum", and the whole procedure is re-initialised

printa

If TRUE then two attributes are added to the resulting vector. The first ('confr') is a comparison between results obtained with 3 different allocation methods: Bethel, proportional and equal. The second ('outcv') is a table reporting planned and actual CV, together with a sensitivity analysis

realAllocation

If FALSE, the allocation is based on INTEGER values; if TRUE, the allocation is based on REAL values

epsilon

Epsilon (default=1e-11)): this value is used to compare the difference in results from one iteration to the other; if it it is lower than "epsilon", then the procedure stops

Value

A vector containing the computed optimal allocation

Author

Daniela Pagliuca with contributions from Teresa Buglielli and Giulio Barcaroli

Examples

if (FALSE) {
library(SamplingStrata)
data(strata)
data(errors)
n <- bethel(strata, errors, printa=TRUE)
sum(n)
attributes(n)$confr
attributes(n)$outcv
}