dataBetaNS

<ol>
<li>A dataset to simulate Small Area Estimation using Hierarchical Bayesian method under Two Fold Subarea level model with Beta distribution and Non-sampled subarea</li>
<li>This data contains NA values that indicates no sampled at one or more Subareas. It uses the <code>dataBeta</code> with the direct estimates and the related variances in 5 subareas are missing.</li>
</ol>

datasets

Estimates area and subarea level proportions using the Small Area Estimation (SAE) Twofold Subarea Model with a hierarchical Bayesian (HB) approach under Beta distribution. A number of simulated datasets generated for illustration purposes are also included. The 'rstan' package is employed to estimate parameters via the Hamiltonian Monte Carlo and No U-Turn Sampler algorithm. The model-based estimators include the HB mean, the variation of the mean, and quantiles. For references, see Rao and Molina (2015) <doi:10.1002/9781118735855>, Torabi and Rao (2014) <doi:10.1016/j.jmva.2014.02.001>, Leyla Mohadjer et al.(2007) <http://www.asasrms.org/Proceedings/y2007/Files/JSM2007-000559.pdf>, Erciulescu et al.(2019) <doi:10.1111/rssa.12390>, and Yudasena (2024).

Nasya Zahira Putri

saeHB.TF.beta

SAE using HB Twofold Subarea Model under Beta Distribution

Cucu Sumarni

Rizal Fauziarochman Yudasena

dataBetaNS function

A data frame with 90 rows and 6 columns:<dl>
<dt>y</dt>
<dd>Direct estimation of subarea mean \(y_{ij}\)</dd><dt>X1</dt>
<dd>Auxiliary variable of \(X_{ij1}\)</dd><dt>X2</dt>
<dd>Auxiliary variable of \(X_{ij2}\)</dd><dt>codearea</dt>
<dd>Index that describes the code relating to area for each subarea</dd><dt>w</dt>
<dd>Unit proportion on each subarea or weight \(w_{ij}\)</dd><dt>vardir</dt>
<dd>Sampling variance of direct estimator \(y_{ij}\)</dd>
</dl>

Format

Simulated dataset Under Two Fold Subarea level model with Beta distribution and Non-Sampled subarea. — dataBetaNS

A data frame with 90 rows and 6 columns:<dl>
<dt>y</dt>
<dd>Direct estimation of subarea mean \(y_{ij}\)</dd>

<dt>X1</dt>
<dd>Auxiliary variable of \(X_{ij1}\)</dd>

<dt>X2</dt>
<dd>Auxiliary variable of \(X_{ij2}\)</dd>

<dt>codearea</dt>
<dd>Index that describes the code relating to area for each subarea</dd>

<dt>w</dt>
<dd>Unit proportion on each subarea or weight \(w_{ij}\)</dd>

<dt>vardir</dt>
<dd>Sampling variance of direct estimator \(y_{ij}\)</dd>


</dl>

dataBetaNS: Simulated dataset Under Two Fold Subarea level model with Beta distribution and Non-Sampled subarea.

Description

Usage

Arguments

Format