Description Usage Arguments Details Value Author(s) References See Also Examples

Draws a Systematic sample of size $n$ from a population of size $N$

1 | ```
S.SY(N, a)
``` |

`N` |
Population size |

`a` |
Number of groups dividing the population |

The selected sample is drawn according to a random start.

The function returns a vector of size *n*. Each element of this vector indicates the unit that was selected.

Hugo Andres Gutierrez Rojas hugogutierrez@usantotomas.edu.co. The author acknowledges to Kristina Stodolova Kristyna.Stodolova@seznam.cz for valuable suggestions.

Madow, L.H. and Madow, W.G. (1944), On the theory of systematic sampling. *Annals of Mathematical Statistics*. 15, 1-24.

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.

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 | ```
############
## Example 1
############
# Vector U contains the label of a population of size N=5
U <- c("Yves", "Ken", "Erik", "Sharon", "Leslie")
# The population of size N=5 is divided in a=2 groups
# Draws a Systematic sample.
sam <- S.SY(5,2)
sam
# The selected sample is
U[sam]
# There are only two possible samples
############
## Example 2
############
# Uses the Lucy data to draw a Systematic sample
data(Lucy)
attach(Lucy)
N <- dim(Lucy)[1]
# The population is divided in 6 groups
# The selected sample
sam <- S.SY(N,6)
# The information about the units in the sample is stored in an object called data
data <- Lucy[sam,]
data
dim(data)
``` |

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