nk {TeachingSampling}

Sample Selection Indicator for With Replacement Sampling Designs

Description

The function returns a matrix of binom(N+m-1)(m) rows and N columns. Creates a matrix of values (0, if the unit does not belongs to a specified sample, 1, if the unit is selected once in the sample; 2, if the unit is selected twice in the sample, etc.) for every possible sample under fixed sample size designs with replacement

Usage

nk(N, m)

Arguments

N

Population size

m

Sample size

Value

The function returns a matrix of binom(N+m-1)(m) rows and N columns. The kth column corresponds to the sample selection indicator, of the kth unit, to a possible sample.

Author(s)

Hugo Andres Gutierrez Rojas [e-mail]

References

Sarndal, C-E. and Swensson, B. and Wretman, J. (1992), Model Assisted Survey Sampling. Springer.
Gutierrez, H. A. (2009), Estrategias de muestreo: Diseno de encuestas y estimacion de parametros. Editorial Universidad Santo Tomas.

See Also

SupportWR, Pik

Examples

# Vector U contains the label of a population of size N=5
U <- c("Yves", "Ken", "Erik", "Sharon", "Leslie")
N <- length(U)
m <- 2
# The sample membership matrix for fixed size without replacement sampling designs
nk(N,m)