var_Deville

Compute Deville's approximate variance estimators of class 2, which require only
first-order inclusion probabilities and only for sample units

internal

Variance approximations for the
Horvitz-Thompson total estimator in Unequal Probability Sampling
using only first-order inclusion probabilities.
See Matei and Tillé (2005) and Haziza, Mecatti and Rao (2008) for details.

Roberto Sichera

UPSvarApprox

Approximate the Variance of the Horvitz-Thompson Total Estimator

var_Deville function

<dl><dt>y</dt>
<dd>numeric vector of sample observations</dd>
<dt>pik</dt>
<dd>numeric vector of first-order inclusion probabilities for sample units</dd>
<dt>method</dt>
<dd>string indicating the desired approximate variance estimator.
One of "Deville1", "Deville2", "Deville3", "Hajek", "Rosen", "FixedPoint",
"Brewer1", "HartleyRao", "Berger", "Tille", "MateiTille1", "MateiTille2",
"MateiTille3", "MateiTille4", "MateiTille5", "Brewer2", "Brewer3", "Brewer4".</dd></dl>

Arguments

Deville's approximate variance estimators — var_Deville

<dl>

<dt>y</dt>
<dd>numeric vector of sample observations</dd>


<dt>pik</dt>
<dd>numeric vector of first-order inclusion probabilities for sample units</dd>


<dt>method</dt>
<dd>string indicating the desired approximate variance estimator.
One of "Deville1", "Deville2", "Deville3", "Hajek", "Rosen", "FixedPoint",
"Brewer1", "HartleyRao", "Berger", "Tille", "MateiTille1", "MateiTille2",
"MateiTille3", "MateiTille4", "MateiTille5", "Brewer2", "Brewer3", "Brewer4".</dd>

</dl>

var_Deville: Deville's approximate variance estimators

Description

Usage

Value

Arguments