sampling (version 0.45)

UPmidzuno: Midzuno sampling

Description

Uses Midzuno method to select a sample of units (unequal probabilities, without replacement, fixed sample size).

Usage

UPmidzuno(pik)

Arguments

pik

vector of prescribed inclusion probabilities.

encoding

latin1

Details

Returns a vector (with elements 0 and 1) of size N, the population size. Each element k of this vector indicates the status of unit k (1, unit k is selected in the sample; 0, otherwise).

References

Midzuno, H. (1952), On the sampling system with probability proportional to sum of size. Annals of the Institute of Statistical Mathematics, 3:99-107. Deville, J.-C. and Till�, Y. (1998), Unequal probability sampling without replacement through a splitting method, Biometrika, 85:89-101.

See Also

UPtille

Examples

#define the prescribed inclusion probabilities
pik=c(0.2,0.7,0.8,0.5,0.4,0.4)
#select a sample
s=UPmidzuno(pik)
#the sample is
(1:length(pik))[s==1]