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

Draws a probability proportional to size simple random sample with
replacement of size *m_h* in stratum *h* of size *N_h*

1 | ```
S.STPPS(S,x,mh)
``` |

`S` |
Vector identifying the membership to the strata of each unit in the population |

`x` |
Vector of auxiliary information for each unit in the population |

`mh` |
Vector of sample size in each stratum |

The selected sample is drawn according to the cumulative total method (sequential-list procedure) in each stratum

The function returns a matrix of *m=m_1+\cdots+m_h* rows and two columns. Each element of the first column indicates the unit that
was selected. Each element of the second column indicates the selection probability of this unit

Hugo Andres Gutierrez Rojas hugogutierrez@usantotomas.edu.co

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 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 | ```
############
## Example 1
############
# Vector U contains the label of a population of size N=5
U <- c("Yves", "Ken", "Erik", "Sharon", "Leslie")
# The auxiliary information
x <- c(52, 60, 75, 100, 50)
# Vector Strata contains an indicator variable of stratum membership
Strata <- c("A", "A", "A", "B", "B")
# Then sample size in each stratum
mh <- c(2,2)
# Draws a stratified PPS sample with replacement of size n=4
res <- S.STPPS(Strata, x, mh)
# The selected sample
sam <- res[,1]
U[sam]
# The selection probability of each unit selected to be in the sample
pk <- res[,2]
pk
############
## Example 2
############
# Uses the Lucy data to draw a stratified random sample
# according to a PPS design in each stratum
data(Lucy)
attach(Lucy)
# Level is the stratifying variable
summary(Level)
# Defines the sample size at each stratum
m1<-70
m2<-100
m3<-200
mh<-c(m1,m2,m3)
# Draws a stratified sample
res<-S.STPPS(Level, Income, mh)
# The selected sample
sam<-res[,1]
# The information about the units in the sample is stored in an object called data
data <- Lucy[sam,]
data
dim(data)
# The selection probability of each unit selected in the sample
pk <- res[,2]
pk
``` |

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