stratbr (version 1.2)

BSSM_FD: Optimal Allocation - Minimum Coefficient of Variation

Description

Function that uses an integer programming formulation for allocation of the overall sample size n to the strata, for the following purpose: Coefficient of Variation of the estimate of total for the survey variable is minimized.

Usage

BSSM_FD(Nh, Sh2x, n, H, nmin = 2, X, takeall = FALSE)

Arguments

Nh

Vector with number of population elements, or population size, in stratum h

Sh2x

Vector with population variance of the variable X in stratum h.

n

Sample size.

H

Number of strata.

nmin

Minimum sample size (smallest possible sample size in any stratum). The default is 2.

X

Population Total

takeall

Take-all stratum (takeall=TRUE) => nH=NH.

Value

solution

Vector with sample of size by stratum and coefficient of variation for the estimator of total of the stratification variable considered.

References

Brito, J.A.M, Silva, P.L.N.,Semaan, G.S. and Maculan, N. (2015). Integer Programming Formulations Applied to Optimal Allocation in Stratified Sampling. Survey Methodology, 41: 427-442.

Examples

X<-round(100*runif(50))
Nh<-c(10,20,20)
Sh2x<-c(var(X[1:10]),var(X[11:30]),var(X[31:50]))
aloc1<-BSSM_FD(Nh,Sh2x,n=40,H=3,nmin=2,sum(X),takeall=TRUE)
Nh<-c(49,78,20,39,73,82,89)
X<-542350
Sh2x<-c(4436978,5581445,33454902,5763294,8689167,3716130,13938505)
aloc2<-BSSM_FD(Nh,Sh2x,n=100,H=7,nmin=2,X)