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

Computes the Hansen-Hurwitz estimator of the population total according to a probability proportional to size sampling with replacement design

1 | ```
E.PPS(y, pk)
``` |

`y` |
Vector, matrix or data frame containing the recollected information of the variables of interest for every unit in the selected sample |

`pk` |
A vector containing selection probabilities for each unit in the sample |

Returns the estimation of the population total of every single variable of interest, its estimated standard error and its estimated coefficient of variation estimated under a probability proportional to size sampling with replacement design

The function returns a data matrix whose columns correspond to the estimated parameters of the variables of interest

Hugo Andres Gutierrez Rojas hagutierrezro@gmail.com

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 | ```
# Uses the Lucy data to draw a random sample according to a
# PPS with replacement design
data(Lucy)
attach(Lucy)
# The selection probability of each unit is proportional to the variable Income
m <- 400
res <- S.PPS(m,Income)
# The selected sample
sam <- res[,1]
# The information about the units in the sample is stored in an object called data
data <- Lucy[sam,]
attach(data)
names(data)
# pk.s is the selection probability of each unit in the selected sample
pk.s <- res[,2]
# The variables of interest are: Income, Employees and Taxes
# This information is stored in a data frame called estima
estima <- data.frame(Income, Employees, Taxes)
E.PPS(estima,pk.s)
``` |

```
The following objects are masked from Lucy:
Employees, ID, Income, Level, SPAM, Taxes, Ubication, Zone
[1] "ID" "Ubication" "Level" "Zone" "Income" "Employees"
[7] "Taxes" "SPAM"
N Income Employees Taxes
Estimation 2263.467025 1.035217e+06 1.502993e+05 3.017928e+04
Standard Error 78.308762 2.540391e-12 4.624637e+03 9.132950e+02
CVE 3.459682 2.453969e-16 3.076951e+00 3.026232e+00
DEFF Inf 5.184543e-33 1.243090e+00 8.050351e-02
```

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