UPmidzuno {sampling} | R Documentation |
Uses Midzuno method to select a sample of units (unequal probabilities, without replacement, fixed sample size).
UPmidzuno(pik)
pik |
vector of prescribed inclusion probabilities. |
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).
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 Tillé, Y. (1998),
Unequal probability sampling without replacement through a splitting method,
Biometrika, 85:89-101.
#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]