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<!DOCTYPE html>
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<!-- README.md is generated from README.Rmd. Please edit that file -->
<div id="inferr-inferential-statistics-with-r" class="section level2">
<h2 class="hasAnchor">
<a href="#inferr-inferential-statistics-with-r" class="anchor"></a>inferr: Inferential statistics with R <img src="hex_inferr.png" align="right">
</h2>
<p><strong>Author:</strong> <a href="http://www.aravindhebbali.com">Aravind Hebbali</a><br><strong>License:</strong> <a href="https://opensource.org/licenses/MIT">MIT</a></p>
<p><a href="https://cran.r-project.org/package=inferr"><img src="http://www.r-pkg.org/badges/version/inferr" alt="CRAN_Status_Badge"></a> <a href="https://travis-ci.org/rsquaredacademy/inferr"><img src="https://travis-ci.org/rsquaredacademy/inferr.svg?branch=master" alt="Travis-CI Build Status"></a> <a href="https://ci.appveyor.com/project/rsquaredacademy/inferr"><img src="https://ci.appveyor.com/api/projects/status/github/rsquaredacademy/inferr?branch=master&svg=true" alt="AppVeyor Build Status"></a> <a href="https://cran.r-project.org/package=inferr"><img src="https://cranlogs.r-pkg.org/badges/grand-total/inferr"></a> <a href="https://codecov.io/github/rsquaredacademy/inferr?branch=master"><img src="https://codecov.io/gh/rsquaredacademy/inferr/branch/master/graph/badge.svg" alt="Coverage status"></a> <img src="https://img.shields.io/badge/lifecycle-maturing-blue.svg"></p>
</div>
<div id="overview" class="section level2">
<h2 class="hasAnchor">
<a href="#overview" class="anchor"></a>Overview</h2>
<p>Inferential statistics allows us to make generalizations about populations using data drawn from the population. We use them when it is impractical or impossible to collect data about the whole population under study and instead, we have a sample that represents the population under study and using inferential statistics technique, we make generalizations about the population from the sample.</p>
<p>The <strong>inferr</strong> package:</p>
<ul>
<li>builds upon the statistical tests provided in <strong>stats</strong><br>
</li>
<li>provides additional and flexible input options</li>
<li>more detailed and structured test results</li>
</ul>
<p>As of version 0.1, <strong>inferr</strong> includes a select set of parametric and non-parametric statistical tests which are listed below:</p>
<ul>
<li>One Sample t Test</li>
<li>Paired Sample t Test</li>
<li>Independent Sample t Test</li>
<li>One Sample Proportion Test</li>
<li>Two Sample Proportion Test</li>
<li>One Sample Variance Test</li>
<li>Two Sample Variance Test</li>
<li>Binomial Test</li>
<li>ANOVA</li>
<li>Chi Square Goodness of Fit Test</li>
<li>Chi Square Independence Test</li>
<li>Levene’s Test</li>
<li>Cochran’s Q Test</li>
<li>McNemar Test</li>
<li>Runs Test for Randomness</li>
</ul>
</div>
<div id="installation" class="section level2">
<h2 class="hasAnchor">
<a href="#installation" class="anchor"></a>Installation</h2>
<div class="sourceCode" id="cb1"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb1-1" data-line-number="1"><span class="co"># install inferr from CRAN</span></a>
<a class="sourceLine" id="cb1-2" data-line-number="2"><span class="kw">install.packages</span>(<span class="st">"inferr"</span>)</a>
<a class="sourceLine" id="cb1-3" data-line-number="3"></a>
<a class="sourceLine" id="cb1-4" data-line-number="4"><span class="co"># the development version from github</span></a>
<a class="sourceLine" id="cb1-5" data-line-number="5"><span class="co"># install.packages("devtools")</span></a>
<a class="sourceLine" id="cb1-6" data-line-number="6">devtools<span class="op">::</span><span class="kw"><a href="http://www.rdocumentation.org/packages/devtools/topics/install_github">install_github</a></span>(<span class="st">"rsquaredacademy/inferr"</span>)</a></code></pre></div>
</div>
<div id="shiny-app" class="section level2">
<h2 class="hasAnchor">
<a href="#shiny-app" class="anchor"></a>Shiny App</h2>
<p>Use <code><a href="reference/infer_launch_shiny_app.html">infer_launch_shiny_app()</a></code> to explore the package using a shiny app.</p>
</div>
<div id="vignettes" class="section level2">
<h2 class="hasAnchor">
<a href="#vignettes" class="anchor"></a>Vignettes</h2>
<ul>
<li><a href="http://www.rsquaredacademy.com/inferr/articles/index.html">Introduction to inferr</a></li>
</ul>
</div>
<div id="usage" class="section level2">
<h2 class="hasAnchor">
<a href="#usage" class="anchor"></a>Usage</h2>
<div id="one-sample-t-test" class="section level5">
<h5 class="hasAnchor">
<a href="#one-sample-t-test" class="anchor"></a>One Sample t Test</h5>
<div class="sourceCode" id="cb2"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb2-1" data-line-number="1"><span class="kw"><a href="reference/infer_os_t_test.html">infer_os_t_test</a></span>(hsb, write, <span class="dt">mu =</span> <span class="dv">50</span>, <span class="dt">type =</span> <span class="st">'all'</span>)</a>
<a class="sourceLine" id="cb2-2" data-line-number="2"><span class="co">#> One-Sample Statistics </span></a>
<a class="sourceLine" id="cb2-3" data-line-number="3"><span class="co">#> ---------------------------------------------------------------------------------</span></a>
<a class="sourceLine" id="cb2-4" data-line-number="4"><span class="co">#> Variable Obs Mean Std. Err. Std. Dev. [95% Conf. Interval] </span></a>
<a class="sourceLine" id="cb2-5" data-line-number="5"><span class="co">#> ---------------------------------------------------------------------------------</span></a>
<a class="sourceLine" id="cb2-6" data-line-number="6"><span class="co">#> write 200 52.775 0.6702 9.4786 51.4537 54.0969 </span></a>
<a class="sourceLine" id="cb2-7" data-line-number="7"><span class="co">#> ---------------------------------------------------------------------------------</span></a>
<a class="sourceLine" id="cb2-8" data-line-number="8"><span class="co">#> </span></a>
<a class="sourceLine" id="cb2-9" data-line-number="9"><span class="co">#> Ho: mean(write) ~=50 </span></a>
<a class="sourceLine" id="cb2-10" data-line-number="10"><span class="co">#> </span></a>
<a class="sourceLine" id="cb2-11" data-line-number="11"><span class="co">#> Ha: mean < 50 Ha: mean ~= 50 Ha: mean > 50 </span></a>
<a class="sourceLine" id="cb2-12" data-line-number="12"><span class="co">#> t = 4.141 t = 4.141 t = 4.141 </span></a>
<a class="sourceLine" id="cb2-13" data-line-number="13"><span class="co">#> P < t = 1.0000 P > |t| = 0.0001 P > t = 0.0000</span></a></code></pre></div>
</div>
<div id="anova" class="section level5">
<h5 class="hasAnchor">
<a href="#anova" class="anchor"></a>ANOVA</h5>
<div class="sourceCode" id="cb3"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb3-1" data-line-number="1"><span class="kw"><a href="reference/infer_oneway_anova.html">infer_oneway_anova</a></span>(hsb, write, prog)</a>
<a class="sourceLine" id="cb3-2" data-line-number="2"><span class="co">#> ANOVA </span></a>
<a class="sourceLine" id="cb3-3" data-line-number="3"><span class="co">#> ----------------------------------------------------------------------</span></a>
<a class="sourceLine" id="cb3-4" data-line-number="4"><span class="co">#> Sum of </span></a>
<a class="sourceLine" id="cb3-5" data-line-number="5"><span class="co">#> Squares DF Mean Square F Sig. </span></a>
<a class="sourceLine" id="cb3-6" data-line-number="6"><span class="co">#> ----------------------------------------------------------------------</span></a>
<a class="sourceLine" id="cb3-7" data-line-number="7"><span class="co">#> Between Groups 3175.698 2 1587.849 21.275 0.0000 </span></a>
<a class="sourceLine" id="cb3-8" data-line-number="8"><span class="co">#> Within Groups 14703.177 197 74.635 </span></a>
<a class="sourceLine" id="cb3-9" data-line-number="9"><span class="co">#> Total 17878.875 199 </span></a>
<a class="sourceLine" id="cb3-10" data-line-number="10"><span class="co">#> ----------------------------------------------------------------------</span></a>
<a class="sourceLine" id="cb3-11" data-line-number="11"><span class="co">#> </span></a>
<a class="sourceLine" id="cb3-12" data-line-number="12"><span class="co">#> Report </span></a>
<a class="sourceLine" id="cb3-13" data-line-number="13"><span class="co">#> -----------------------------------------</span></a>
<a class="sourceLine" id="cb3-14" data-line-number="14"><span class="co">#> Category N Mean Std. Dev. </span></a>
<a class="sourceLine" id="cb3-15" data-line-number="15"><span class="co">#> -----------------------------------------</span></a>
<a class="sourceLine" id="cb3-16" data-line-number="16"><span class="co">#> 1 45 51.333 9.398 </span></a>
<a class="sourceLine" id="cb3-17" data-line-number="17"><span class="co">#> 2 105 56.257 7.943 </span></a>
<a class="sourceLine" id="cb3-18" data-line-number="18"><span class="co">#> 3 50 46.760 9.319 </span></a>
<a class="sourceLine" id="cb3-19" data-line-number="19"><span class="co">#> -----------------------------------------</span></a>
<a class="sourceLine" id="cb3-20" data-line-number="20"><span class="co">#> </span></a>
<a class="sourceLine" id="cb3-21" data-line-number="21"><span class="co">#> Number of obs = 200 R-squared = 0.1776 </span></a>
<a class="sourceLine" id="cb3-22" data-line-number="22"><span class="co">#> Root MSE = 8.6392 Adj R-squared = 0.1693</span></a></code></pre></div>
</div>
<div id="chi-square-test-of-independence" class="section level5">
<h5 class="hasAnchor">
<a href="#chi-square-test-of-independence" class="anchor"></a>Chi Square Test of Independence</h5>
<div class="sourceCode" id="cb4"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb4-1" data-line-number="1"><span class="kw"><a href="reference/infer_chisq_assoc_test.html">infer_chisq_assoc_test</a></span>(hsb, female, schtyp)</a>
<a class="sourceLine" id="cb4-2" data-line-number="2"><span class="co">#> Chi Square Statistics </span></a>
<a class="sourceLine" id="cb4-3" data-line-number="3"><span class="co">#> </span></a>
<a class="sourceLine" id="cb4-4" data-line-number="4"><span class="co">#> Statistics DF Value Prob </span></a>
<a class="sourceLine" id="cb4-5" data-line-number="5"><span class="co">#> ----------------------------------------------------</span></a>
<a class="sourceLine" id="cb4-6" data-line-number="6"><span class="co">#> Chi-Square 1 0.0470 0.8284</span></a>
<a class="sourceLine" id="cb4-7" data-line-number="7"><span class="co">#> Likelihood Ratio Chi-Square 1 0.0471 0.8282</span></a>
<a class="sourceLine" id="cb4-8" data-line-number="8"><span class="co">#> Continuity Adj. Chi-Square 1 0.0005 0.9822</span></a>
<a class="sourceLine" id="cb4-9" data-line-number="9"><span class="co">#> Mantel-Haenszel Chi-Square 1 0.0468 0.8287</span></a>
<a class="sourceLine" id="cb4-10" data-line-number="10"><span class="co">#> Phi Coefficient 0.0153 </span></a>
<a class="sourceLine" id="cb4-11" data-line-number="11"><span class="co">#> Contingency Coefficient 0.0153 </span></a>
<a class="sourceLine" id="cb4-12" data-line-number="12"><span class="co">#> Cramer's V 0.0153 </span></a>
<a class="sourceLine" id="cb4-13" data-line-number="13"><span class="co">#> ----------------------------------------------------</span></a></code></pre></div>
</div>
<div id="levenes-test" class="section level5">
<h5 class="hasAnchor">
<a href="#levenes-test" class="anchor"></a>Levene’s Test</h5>
<div class="sourceCode" id="cb5"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb5-1" data-line-number="1"><span class="kw"><a href="reference/infer_levene_test.html">infer_levene_test</a></span>(hsb, read, <span class="dt">group_var =</span> race)</a>
<a class="sourceLine" id="cb5-2" data-line-number="2"><span class="co">#> Summary Statistics </span></a>
<a class="sourceLine" id="cb5-3" data-line-number="3"><span class="co">#> Levels Frequency Mean Std. Dev </span></a>
<a class="sourceLine" id="cb5-4" data-line-number="4"><span class="co">#> -----------------------------------------</span></a>
<a class="sourceLine" id="cb5-5" data-line-number="5"><span class="co">#> 1 24 46.67 10.24 </span></a>
<a class="sourceLine" id="cb5-6" data-line-number="6"><span class="co">#> 2 11 51.91 7.66 </span></a>
<a class="sourceLine" id="cb5-7" data-line-number="7"><span class="co">#> 3 20 46.8 7.12 </span></a>
<a class="sourceLine" id="cb5-8" data-line-number="8"><span class="co">#> 4 145 53.92 10.28 </span></a>
<a class="sourceLine" id="cb5-9" data-line-number="9"><span class="co">#> -----------------------------------------</span></a>
<a class="sourceLine" id="cb5-10" data-line-number="10"><span class="co">#> Total 200 52.23 10.25 </span></a>
<a class="sourceLine" id="cb5-11" data-line-number="11"><span class="co">#> -----------------------------------------</span></a>
<a class="sourceLine" id="cb5-12" data-line-number="12"><span class="co">#> </span></a>
<a class="sourceLine" id="cb5-13" data-line-number="13"><span class="co">#> Test Statistics </span></a>
<a class="sourceLine" id="cb5-14" data-line-number="14"><span class="co">#> -------------------------------------------------------------------------</span></a>
<a class="sourceLine" id="cb5-15" data-line-number="15"><span class="co">#> Statistic Num DF Den DF F Pr > F </span></a>
<a class="sourceLine" id="cb5-16" data-line-number="16"><span class="co">#> -------------------------------------------------------------------------</span></a>
<a class="sourceLine" id="cb5-17" data-line-number="17"><span class="co">#> Brown and Forsythe 3 196 3.44 0.0179 </span></a>
<a class="sourceLine" id="cb5-18" data-line-number="18"><span class="co">#> Levene 3 196 3.4792 0.017 </span></a>
<a class="sourceLine" id="cb5-19" data-line-number="19"><span class="co">#> Brown and Forsythe (Trimmed Mean) 3 196 3.3936 0.019 </span></a>
<a class="sourceLine" id="cb5-20" data-line-number="20"><span class="co">#> -------------------------------------------------------------------------</span></a></code></pre></div>
</div>
<div id="cochrans-q-test" class="section level5">
<h5 class="hasAnchor">
<a href="#cochrans-q-test" class="anchor"></a>Cochran’s Q Test</h5>
<div class="sourceCode" id="cb6"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb6-1" data-line-number="1"><span class="kw"><a href="reference/infer_cochran_qtest.html">infer_cochran_qtest</a></span>(exam, exam1, exam2, exam3)</a>
<a class="sourceLine" id="cb6-2" data-line-number="2"><span class="co">#> Test Statistics </span></a>
<a class="sourceLine" id="cb6-3" data-line-number="3"><span class="co">#> ----------------------</span></a>
<a class="sourceLine" id="cb6-4" data-line-number="4"><span class="co">#> N 15 </span></a>
<a class="sourceLine" id="cb6-5" data-line-number="5"><span class="co">#> Cochran's Q 4.75 </span></a>
<a class="sourceLine" id="cb6-6" data-line-number="6"><span class="co">#> df 2 </span></a>
<a class="sourceLine" id="cb6-7" data-line-number="7"><span class="co">#> p value 0.093 </span></a>
<a class="sourceLine" id="cb6-8" data-line-number="8"><span class="co">#> ----------------------</span></a></code></pre></div>
</div>
<div id="mcnemar-test" class="section level5">
<h5 class="hasAnchor">
<a href="#mcnemar-test" class="anchor"></a>McNemar Test</h5>
<div class="sourceCode" id="cb7"><pre class="sourceCode r"><code class="sourceCode r"><a class="sourceLine" id="cb7-1" data-line-number="1">hb <-</a>
<a class="sourceLine" id="cb7-2" data-line-number="2"><span class="st"> </span>hsb <span class="op">%>%</span></a>
<a class="sourceLine" id="cb7-3" data-line-number="3"><span class="st"> </span><span class="kw">mutate</span>(</a>
<a class="sourceLine" id="cb7-4" data-line-number="4"> <span class="dt">himath =</span> <span class="kw">if_else</span>(math <span class="op">></span><span class="st"> </span><span class="dv">60</span>, <span class="dv">1</span>, <span class="dv">0</span>),</a>
<a class="sourceLine" id="cb7-5" data-line-number="5"> <span class="dt">hiread =</span> <span class="kw">if_else</span>(read <span class="op">></span><span class="st"> </span><span class="dv">60</span>, <span class="dv">1</span>, <span class="dv">0</span>)</a>
<a class="sourceLine" id="cb7-6" data-line-number="6"> )</a>
<a class="sourceLine" id="cb7-7" data-line-number="7"><span class="kw"><a href="reference/infer_mcnemar_test.html">infer_mcnemar_test</a></span>(hb, himath, hiread)</a>
<a class="sourceLine" id="cb7-8" data-line-number="8"><span class="co">#> Controls </span></a>
<a class="sourceLine" id="cb7-9" data-line-number="9"><span class="co">#> ---------------------------------</span></a>
<a class="sourceLine" id="cb7-10" data-line-number="10"><span class="co">#> Cases 0 1 Total </span></a>
<a class="sourceLine" id="cb7-11" data-line-number="11"><span class="co">#> ---------------------------------</span></a>
<a class="sourceLine" id="cb7-12" data-line-number="12"><span class="co">#> 0 135 21 156 </span></a>
<a class="sourceLine" id="cb7-13" data-line-number="13"><span class="co">#> 1 18 26 44 </span></a>
<a class="sourceLine" id="cb7-14" data-line-number="14"><span class="co">#> ---------------------------------</span></a>
<a class="sourceLine" id="cb7-15" data-line-number="15"><span class="co">#> Total 153 47 200 </span></a>
<a class="sourceLine" id="cb7-16" data-line-number="16"><span class="co">#> ---------------------------------</span></a>
<a class="sourceLine" id="cb7-17" data-line-number="17"><span class="co">#> </span></a>
<a class="sourceLine" id="cb7-18" data-line-number="18"><span class="co">#> McNemar's Test </span></a>
<a class="sourceLine" id="cb7-19" data-line-number="19"><span class="co">#> ----------------------------</span></a>
<a class="sourceLine" id="cb7-20" data-line-number="20"><span class="co">#> McNemar's chi2 0.2308 </span></a>
<a class="sourceLine" id="cb7-21" data-line-number="21"><span class="co">#> DF 1 </span></a>
<a class="sourceLine" id="cb7-22" data-line-number="22"><span class="co">#> Pr > chi2 0.631 </span></a>
<a class="sourceLine" id="cb7-23" data-line-number="23"><span class="co">#> Exact Pr >= chi2 0.7493 </span></a>
<a class="sourceLine" id="cb7-24" data-line-number="24"><span class="co">#> ----------------------------</span></a>
<a class="sourceLine" id="cb7-25" data-line-number="25"><span class="co">#> </span></a>
<a class="sourceLine" id="cb7-26" data-line-number="26"><span class="co">#> Kappa Coefficient </span></a>
<a class="sourceLine" id="cb7-27" data-line-number="27"><span class="co">#> --------------------------------</span></a>
<a class="sourceLine" id="cb7-28" data-line-number="28"><span class="co">#> Kappa 0.4454 </span></a>
<a class="sourceLine" id="cb7-29" data-line-number="29"><span class="co">#> ASE 0.075 </span></a>
<a class="sourceLine" id="cb7-30" data-line-number="30"><span class="co">#> 95% Lower Conf Limit 0.2984 </span></a>
<a class="sourceLine" id="cb7-31" data-line-number="31"><span class="co">#> 95% Upper Conf Limit 0.5923 </span></a>
<a class="sourceLine" id="cb7-32" data-line-number="32"><span class="co">#> --------------------------------</span></a>
<a class="sourceLine" id="cb7-33" data-line-number="33"><span class="co">#> </span></a>
<a class="sourceLine" id="cb7-34" data-line-number="34"><span class="co">#> Proportion With Factor </span></a>
<a class="sourceLine" id="cb7-35" data-line-number="35"><span class="co">#> ----------------------</span></a>
<a class="sourceLine" id="cb7-36" data-line-number="36"><span class="co">#> cases 0.78 </span></a>
<a class="sourceLine" id="cb7-37" data-line-number="37"><span class="co">#> controls 0.765 </span></a>
<a class="sourceLine" id="cb7-38" data-line-number="38"><span class="co">#> ratio 1.0196 </span></a>
<a class="sourceLine" id="cb7-39" data-line-number="39"><span class="co">#> odds ratio 1.1667 </span></a>
<a class="sourceLine" id="cb7-40" data-line-number="40"><span class="co">#> ----------------------</span></a></code></pre></div>
<p>Please note that this project is released with a <a href="CONDUCT.md">Contributor Code of Conduct</a>. By participating in this project you agree to abide by its terms.</p>
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