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

Computes the Horvitz-Thompson estimator of the population total according to an SY sampling design

1 | ```
E.SY(N, a, y)
``` |

`N` |
Population size |

`a` |
Number of groups dividing the population |

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

Returns the estimation of the population total of every single variable of interest, its estimated standard error and its estimated coefficient of variation under an SY sampling 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 | ```
# 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,]
attach(data)
names(data)
# 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.SY(N,6,estima)
``` |

```
Loading required package: dplyr
Attaching package: ‘dplyr’
The following objects are masked from ‘package:stats’:
filter, lag
The following objects are masked from ‘package:base’:
intersect, setdiff, setequal, union
Loading required package: magrittr
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 2394 1.030026e+06 1.502340e+05 27714.000000
Standard Error 0 2.831152e+04 3.303355e+03 1577.105663
CVE 0 2.748622e+00 2.198806e+00 5.690646
DEFF NaN 1.000000e+00 1.000000e+00 1.000000
```

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