Ik: Sample Membership Indicator

In TeachingSampling: Selection of Samples and Parameter Estimation in Finite Population

Description

Creates a matrix of values (0, if the unit belongs to a specified sample and 1, otherwise) for every possible sample under fixed sample size designs without replacement

Usage

Ik(N, n)

Arguments

N	Population size
n	Sample size

Value

The function returns a matrix of binom(N)(n) rows and N columns. The kth column corresponds to the sample membership 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

Support, Pik

Examples

# Vector U contains the label of a population of size N=5
U <- c("Yves", "Ken", "Erik", "Sharon", "Leslie")
N <- length(U)
n <- 2
# The sample membership matrix for fixed size without replacement sampling designs
Ik(N,n)
# The first unit, Yves, belongs to the first four possible samples 

Example output

      [,1] [,2] [,3] [,4] [,5]
 [1,]    1    1    0    0    0
 [2,]    1    0    1    0    0
 [3,]    1    0    0    1    0
 [4,]    1    0    0    0    1
 [5,]    0    1    1    0    0
 [6,]    0    1    0    1    0
 [7,]    0    1    0    0    1
 [8,]    0    0    1    1    0
 [9,]    0    0    1    0    1
[10,]    0    0    0    1    1

TeachingSampling documentation built on April 22, 2020, 1:05 a.m.