sampling (version 0.45)

UPrandomsystematic: Random systematic sampling

Description

Selects a sample using the systematic method, when the order of the population units is random (unequal probabilities, without replacement, fixed sample size).

Usage

UPrandomsystematic(pik)

Arguments

pik

vector of prescribed inclusion probabilities.

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

Madow, W.G. (1949), On the theory of systematic sampling, II, Annals of Mathematical Statistics, 20, 333-354.

See Also

UPsystematic

Examples

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