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break future research into two
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i added a few sentences making clear the covariance is not implemented and not a big deal  @guilhermejacob
fixes ajdamico/convey#433
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11 changes: 11 additions & 0 deletions 05-multidimensional.Rmd
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---
output:
pdf_document: default
html_document: default
---



# Multidimensional Poverty

## Example Calculation
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---


# Covariance Matrix

# Future Research

## Multidimensional Poverty

### Example Calculation

## Covariance Matrix
The current `convey` software does not account for the covariance. The example below describes this calculation and presents what is, in most cases, a limited impact on the final error terms. We acknowledge that, under ideal circumstances, the covariance would be properly accounted for in the software. Modifying our software to account for the covariance remains a future goal.

Influence functions and "resampling" replicates can be used to improve the inference
about differences and changes between estimates. Put simply, the variance of the difference between
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However, this has not yet been implemented for linearization/influence function methods.
In the next section, we show an example with the Gini index.

### Example Calculation
## Example Calculation

We start by showing what has been implemented --- the resampling based approach:

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15 changes: 6 additions & 9 deletions docs/1.1-install.html
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<meta name="author" content="By Guilherme Jacob, Anthony Damico, and Djalma Pessoa. The authors received no external funding for the convey software and this accompanying textbook." />

<meta name="date" content="2023-11-03" />
<meta name="date" content="2023-11-04" />

<script type="text/x-mathjax-config">
MathJax.Hub.Config({
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<div class="col-sm-12">
<div id="TOC">
<ul>
<li class="has-sub"><a href="index.html#introduction" id="toc-introduction"><span class="toc-section-number">1</span> Introduction</a>
<li class="has-sub"><a href="index.html#intro" id="toc-intro"><span class="toc-section-number">1</span> Intro</a>
<ul>
<li><a href="1.1-install.html#install" id="toc-install"><span class="toc-section-number">1.1</span> Installation</a></li>
<li><a href="1.2-survey.html#survey" id="toc-survey"><span class="toc-section-number">1.2</span> Complex surveys and statistical inference</a></li>
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<li><a href="5.1-richness-measures-svyrich.html#monte-carlo-simulation-3" id="toc-monte-carlo-simulation-3"><span class="toc-section-number">5.1.1</span> Monte Carlo Simulation</a></li>
</ul></li>
</ul></li>
<li class="has-sub"><a href="6-future-research.html#future-research" id="toc-future-research"><span class="toc-section-number">6</span> Future Research</a>
<li class="has-sub"><a href="6-multidimensional-poverty.html#multidimensional-poverty" id="toc-multidimensional-poverty"><span class="toc-section-number">6</span> Multidimensional Poverty</a>
<ul>
<li class="has-sub"><a href="6.1-multidimensional-poverty.html#multidimensional-poverty" id="toc-multidimensional-poverty"><span class="toc-section-number">6.1</span> Multidimensional Poverty</a>
<ul>
<li><a href="6.1-multidimensional-poverty.html#example-calculation" id="toc-example-calculation"><span class="toc-section-number">6.1.1</span> Example Calculation</a></li>
<li><a href="6.1-example-calculation.html#example-calculation" id="toc-example-calculation"><span class="toc-section-number">6.1</span> Example Calculation</a></li>
</ul></li>
<li class="has-sub"><a href="6.2-covariance-matrix.html#covariance-matrix" id="toc-covariance-matrix"><span class="toc-section-number">6.2</span> Covariance Matrix</a>
<li class="has-sub"><a href="7-covariance-matrix.html#covariance-matrix" id="toc-covariance-matrix"><span class="toc-section-number">7</span> Covariance Matrix</a>
<ul>
<li><a href="6.2-covariance-matrix.html#example-calculation-1" id="toc-example-calculation-1"><span class="toc-section-number">6.2.1</span> Example Calculation</a></li>
</ul></li>
<li><a href="7.1-example-calculation-1.html#example-calculation-1" id="toc-example-calculation-1"><span class="toc-section-number">7.1</span> Example Calculation</a></li>
</ul></li>
</ul>
</div>
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15 changes: 6 additions & 9 deletions docs/1.2-survey.html
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<meta name="author" content="By Guilherme Jacob, Anthony Damico, and Djalma Pessoa. The authors received no external funding for the convey software and this accompanying textbook." />

<meta name="date" content="2023-11-03" />
<meta name="date" content="2023-11-04" />

<script type="text/x-mathjax-config">
MathJax.Hub.Config({
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<div class="col-sm-12">
<div id="TOC">
<ul>
<li class="has-sub"><a href="index.html#introduction" id="toc-introduction"><span class="toc-section-number">1</span> Introduction</a>
<li class="has-sub"><a href="index.html#intro" id="toc-intro"><span class="toc-section-number">1</span> Intro</a>
<ul>
<li><a href="1.1-install.html#install" id="toc-install"><span class="toc-section-number">1.1</span> Installation</a></li>
<li><a href="1.2-survey.html#survey" id="toc-survey"><span class="toc-section-number">1.2</span> Complex surveys and statistical inference</a></li>
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<li><a href="5.1-richness-measures-svyrich.html#monte-carlo-simulation-3" id="toc-monte-carlo-simulation-3"><span class="toc-section-number">5.1.1</span> Monte Carlo Simulation</a></li>
</ul></li>
</ul></li>
<li class="has-sub"><a href="6-future-research.html#future-research" id="toc-future-research"><span class="toc-section-number">6</span> Future Research</a>
<li class="has-sub"><a href="6-multidimensional-poverty.html#multidimensional-poverty" id="toc-multidimensional-poverty"><span class="toc-section-number">6</span> Multidimensional Poverty</a>
<ul>
<li class="has-sub"><a href="6.1-multidimensional-poverty.html#multidimensional-poverty" id="toc-multidimensional-poverty"><span class="toc-section-number">6.1</span> Multidimensional Poverty</a>
<ul>
<li><a href="6.1-multidimensional-poverty.html#example-calculation" id="toc-example-calculation"><span class="toc-section-number">6.1.1</span> Example Calculation</a></li>
<li><a href="6.1-example-calculation.html#example-calculation" id="toc-example-calculation"><span class="toc-section-number">6.1</span> Example Calculation</a></li>
</ul></li>
<li class="has-sub"><a href="6.2-covariance-matrix.html#covariance-matrix" id="toc-covariance-matrix"><span class="toc-section-number">6.2</span> Covariance Matrix</a>
<li class="has-sub"><a href="7-covariance-matrix.html#covariance-matrix" id="toc-covariance-matrix"><span class="toc-section-number">7</span> Covariance Matrix</a>
<ul>
<li><a href="6.2-covariance-matrix.html#example-calculation-1" id="toc-example-calculation-1"><span class="toc-section-number">6.2.1</span> Example Calculation</a></li>
</ul></li>
<li><a href="7.1-example-calculation-1.html#example-calculation-1" id="toc-example-calculation-1"><span class="toc-section-number">7.1</span> Example Calculation</a></li>
</ul></li>
</ul>
</div>
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15 changes: 6 additions & 9 deletions docs/1.3-usage-examples.html
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<meta name="author" content="By Guilherme Jacob, Anthony Damico, and Djalma Pessoa. The authors received no external funding for the convey software and this accompanying textbook." />

<meta name="date" content="2023-11-03" />
<meta name="date" content="2023-11-04" />

<script type="text/x-mathjax-config">
MathJax.Hub.Config({
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<div class="col-sm-12">
<div id="TOC">
<ul>
<li class="has-sub"><a href="index.html#introduction" id="toc-introduction"><span class="toc-section-number">1</span> Introduction</a>
<li class="has-sub"><a href="index.html#intro" id="toc-intro"><span class="toc-section-number">1</span> Intro</a>
<ul>
<li><a href="1.1-install.html#install" id="toc-install"><span class="toc-section-number">1.1</span> Installation</a></li>
<li><a href="1.2-survey.html#survey" id="toc-survey"><span class="toc-section-number">1.2</span> Complex surveys and statistical inference</a></li>
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<li><a href="5.1-richness-measures-svyrich.html#monte-carlo-simulation-3" id="toc-monte-carlo-simulation-3"><span class="toc-section-number">5.1.1</span> Monte Carlo Simulation</a></li>
</ul></li>
</ul></li>
<li class="has-sub"><a href="6-future-research.html#future-research" id="toc-future-research"><span class="toc-section-number">6</span> Future Research</a>
<li class="has-sub"><a href="6-multidimensional-poverty.html#multidimensional-poverty" id="toc-multidimensional-poverty"><span class="toc-section-number">6</span> Multidimensional Poverty</a>
<ul>
<li class="has-sub"><a href="6.1-multidimensional-poverty.html#multidimensional-poverty" id="toc-multidimensional-poverty"><span class="toc-section-number">6.1</span> Multidimensional Poverty</a>
<ul>
<li><a href="6.1-multidimensional-poverty.html#example-calculation" id="toc-example-calculation"><span class="toc-section-number">6.1.1</span> Example Calculation</a></li>
<li><a href="6.1-example-calculation.html#example-calculation" id="toc-example-calculation"><span class="toc-section-number">6.1</span> Example Calculation</a></li>
</ul></li>
<li class="has-sub"><a href="6.2-covariance-matrix.html#covariance-matrix" id="toc-covariance-matrix"><span class="toc-section-number">6.2</span> Covariance Matrix</a>
<li class="has-sub"><a href="7-covariance-matrix.html#covariance-matrix" id="toc-covariance-matrix"><span class="toc-section-number">7</span> Covariance Matrix</a>
<ul>
<li><a href="6.2-covariance-matrix.html#example-calculation-1" id="toc-example-calculation-1"><span class="toc-section-number">6.2.1</span> Example Calculation</a></li>
</ul></li>
<li><a href="7.1-example-calculation-1.html#example-calculation-1" id="toc-example-calculation-1"><span class="toc-section-number">7.1</span> Example Calculation</a></li>
</ul></li>
</ul>
</div>
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