sampling (version 0.1)

UPsystematicpi2: Joint inclusion probabilities for systematic sampling

Description

Compute the joint inclusion probabilities for systematic sampling.

Usage

UPsystematicpi2(pik)

Arguments

pik

vector of first order inclusion probabilities.

Details

Return a NxN matrix with the first order inclusion probability for each unit k in the population on the first diagonal and with the joint inclusion probability of units k and l in position (k,l) in the matrix, where k and l are not equal (N is the population size).

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)
UPsystematicpi2(pik)