# E.BE: Estimation of the Population Total under Bernoulli Sampling... In TeachingSampling: Selection of Samples and Parameter Estimation in Finite Population

## Description

Computes the Horvitz-Thompson estimator of the population total according to a BE sampling design

## Usage

 `1` ```E.BE(y, prob) ```

## Arguments

 `y` Vector, matrix or data frame containing the recollected information of the variables of interest for every unit in the selected sample `prob` Inclusion probability for each unit in the population

## Details

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 BE sampling design

## Value

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

## Author(s)

Hugo Andres Gutierrez Rojas hagutierrezro@gmail.com

## 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.

`S.BE`

## Examples

 ``` 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16``` ```# Uses the Lucy data to draw a Bernoulli sample data(Lucy) attach(Lucy) N <- dim(Lucy)[1] n=400 prob=n/N sam <- S.BE(N,prob) # 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.BE(estima,prob) ```

### Example output

```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     2611.640000 1.140778e+06 1.658032e+05 33762.635000
Standard Error  114.158152 6.011109e+04 8.181227e+03  2963.436852
CVE               4.371129 5.269309e+00 4.934300e+00     8.777268
DEFF                   Inf 3.199263e+00 4.635292e+00     1.326754
```

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