<!DOCTYPE html>

<html xmlns="http://www.w3.org/1999/xhtml">

<head>

<meta charset="utf-8" />
<meta http-equiv="Content-Type" content="text/html; charset=utf-8" />
<meta name="generator" content="pandoc" />


<meta name="author" content="Briana Mittleman" />

<meta name="date" content="2018-03-16" />

<title>Analyze growth of LCLs</title>

<script src="site_libs/jquery-1.11.3/jquery.min.js"></script>
<meta name="viewport" content="width=device-width, initial-scale=1" />
<link href="site_libs/bootstrap-3.3.5/css/cosmo.min.css" rel="stylesheet" />
<script src="site_libs/bootstrap-3.3.5/js/bootstrap.min.js"></script>
<script src="site_libs/bootstrap-3.3.5/shim/html5shiv.min.js"></script>
<script src="site_libs/bootstrap-3.3.5/shim/respond.min.js"></script>
<script src="site_libs/jqueryui-1.11.4/jquery-ui.min.js"></script>
<link href="site_libs/tocify-1.9.1/jquery.tocify.css" rel="stylesheet" />
<script src="site_libs/tocify-1.9.1/jquery.tocify.js"></script>
<script src="site_libs/navigation-1.1/tabsets.js"></script>
<link href="site_libs/highlightjs-9.12.0/textmate.css" rel="stylesheet" />
<script src="site_libs/highlightjs-9.12.0/highlight.js"></script>
<link href="site_libs/font-awesome-4.5.0/css/font-awesome.min.css" rel="stylesheet" />

<style type="text/css">code{white-space: pre;}</style>
<style type="text/css">
  pre:not([class]) {
    background-color: white;
  }
</style>
<script type="text/javascript">
if (window.hljs) {
  hljs.configure({languages: []});
  hljs.initHighlightingOnLoad();
  if (document.readyState && document.readyState === "complete") {
    window.setTimeout(function() { hljs.initHighlighting(); }, 0);
  }
}
</script>



<style type="text/css">
h1 {
  font-size: 34px;
}
h1.title {
  font-size: 38px;
}
h2 {
  font-size: 30px;
}
h3 {
  font-size: 24px;
}
h4 {
  font-size: 18px;
}
h5 {
  font-size: 16px;
}
h6 {
  font-size: 12px;
}
.table th:not([align]) {
  text-align: left;
}
</style>


</head>

<body>

<style type = "text/css">
.main-container {
  max-width: 940px;
  margin-left: auto;
  margin-right: auto;
}
code {
  color: inherit;
  background-color: rgba(0, 0, 0, 0.04);
}
img {
  max-width:100%;
  height: auto;
}
.tabbed-pane {
  padding-top: 12px;
}
button.code-folding-btn:focus {
  outline: none;
}
</style>


<style type="text/css">
/* padding for bootstrap navbar */
body {
  padding-top: 51px;
  padding-bottom: 40px;
}
/* offset scroll position for anchor links (for fixed navbar)  */
.section h1 {
  padding-top: 56px;
  margin-top: -56px;
}

.section h2 {
  padding-top: 56px;
  margin-top: -56px;
}
.section h3 {
  padding-top: 56px;
  margin-top: -56px;
}
.section h4 {
  padding-top: 56px;
  margin-top: -56px;
}
.section h5 {
  padding-top: 56px;
  margin-top: -56px;
}
.section h6 {
  padding-top: 56px;
  margin-top: -56px;
}
</style>

<script>
// manage active state of menu based on current page
$(document).ready(function () {
  // active menu anchor
  href = window.location.pathname
  href = href.substr(href.lastIndexOf('/') + 1)
  if (href === "")
    href = "index.html";
  var menuAnchor = $('a[href="' + href + '"]');

  // mark it active
  menuAnchor.parent().addClass('active');

  // if it's got a parent navbar menu mark it active as well
  menuAnchor.closest('li.dropdown').addClass('active');
});
</script>


<div class="container-fluid main-container">

<!-- tabsets -->
<script>
$(document).ready(function () {
  window.buildTabsets("TOC");
});
</script>

<!-- code folding -->




<script>
$(document).ready(function ()  {

    // move toc-ignore selectors from section div to header
    $('div.section.toc-ignore')
        .removeClass('toc-ignore')
        .children('h1,h2,h3,h4,h5').addClass('toc-ignore');

    // establish options
    var options = {
      selectors: "h1,h2,h3",
      theme: "bootstrap3",
      context: '.toc-content',
      hashGenerator: function (text) {
        return text.replace(/[.\\/?&!#<>]/g, '').replace(/\s/g, '_').toLowerCase();
      },
      ignoreSelector: ".toc-ignore",
      scrollTo: 0
    };
    options.showAndHide = true;
    options.smoothScroll = true;

    // tocify
    var toc = $("#TOC").tocify(options).data("toc-tocify");
});
</script>

<style type="text/css">

#TOC {
  margin: 25px 0px 20px 0px;
}
@media (max-width: 768px) {
#TOC {
  position: relative;
  width: 100%;
}
}


.toc-content {
  padding-left: 30px;
  padding-right: 40px;
}

div.main-container {
  max-width: 1200px;
}

div.tocify {
  width: 20%;
  max-width: 260px;
  max-height: 85%;
}

@media (min-width: 768px) and (max-width: 991px) {
  div.tocify {
    width: 25%;
  }
}

@media (max-width: 767px) {
  div.tocify {
    width: 100%;
    max-width: none;
  }
}

.tocify ul, .tocify li {
  line-height: 20px;
}

.tocify-subheader .tocify-item {
  font-size: 0.90em;
  padding-left: 25px;
  text-indent: 0;
}

.tocify .list-group-item {
  border-radius: 0px;
}


</style>

<!-- setup 3col/9col grid for toc_float and main content  -->
<div class="row-fluid">
<div class="col-xs-12 col-sm-4 col-md-3">
<div id="TOC" class="tocify">
</div>
</div>

<div class="toc-content col-xs-12 col-sm-8 col-md-9">




<div class="navbar navbar-default  navbar-fixed-top" role="navigation">
  <div class="container">
    <div class="navbar-header">
      <button type="button" class="navbar-toggle collapsed" data-toggle="collapse" data-target="#navbar">
        <span class="icon-bar"></span>
        <span class="icon-bar"></span>
        <span class="icon-bar"></span>
      </button>
      <a class="navbar-brand" href="index.html">Net-seq</a>
    </div>
    <div id="navbar" class="navbar-collapse collapse">
      <ul class="nav navbar-nav">
        <li>
  <a href="index.html">Home</a>
</li>
<li>
  <a href="about.html">About</a>
</li>
<li>
  <a href="license.html">License</a>
</li>
      </ul>
      <ul class="nav navbar-nav navbar-right">
        <li>
  <a href="https://github.com/brimittleman/Net-seq">
    <span class="fa fa-github"></span>
     
  </a>
</li>
      </ul>
    </div><!--/.nav-collapse -->
  </div><!--/.container -->
</div><!--/.navbar -->

<div class="fluid-row" id="header">



<h1 class="title toc-ignore">Analyze growth of LCLs</h1>
<h4 class="author"><em>Briana Mittleman</em></h4>
<h4 class="date"><em>2018-03-16</em></h4>

</div>


<!-- The file analysis/chunks.R contains chunks that define default settings
shared across the workflowr files. -->
<!-- Update knitr chunk options -->
<!-- Insert the date the file was last updated -->
<p><strong>Last updated:</strong> 2018-03-21</p>
<!-- Insert the code version (Git commit SHA1) if Git repository exists and R
 package git2r is installed -->
<p><strong>Code version:</strong> 93a4722</p>
<!-- Add your analysis here -->
<pre class="r"><code>library(dplyr)</code></pre>
<pre><code>
Attaching package: &#39;dplyr&#39;</code></pre>
<pre><code>The following objects are masked from &#39;package:stats&#39;:

    filter, lag</code></pre>
<pre><code>The following objects are masked from &#39;package:base&#39;:

    intersect, setdiff, setequal, union</code></pre>
<pre class="r"><code>library(tidyr)
library(ggplot2)
library(reshape2)</code></pre>
<pre><code>Warning: package &#39;reshape2&#39; was built under R version 3.4.3</code></pre>
<pre><code>
Attaching package: &#39;reshape2&#39;</code></pre>
<pre><code>The following object is masked from &#39;package:tidyr&#39;:

    smiths</code></pre>
<pre class="r"><code>growth=read.csv(&quot;../data/growth_curve_3.16.csv&quot;, header = TRUE)
#filter out control 
growth_e= growth %&gt;% filter(control==&quot;e&quot;) %&gt;% mutate(avg_h=(h_18486+ h_18499 + h_18502 + h_18504 + h_18510 + h_18517 + h_18523)/7) %&gt;% mutate(avg_c=(c_c3641 + c_pt30 + c_pt91 + c_3610 + c_3659 + c_3622 + c_18358 + c_18359)/8)</code></pre>
<pre class="r"><code>plot(growth_e$avg_h, xlab=&quot;Day&quot;, ylim=c(0,2), ylab=&quot;cells/ml 10^6&quot;, main=&quot;Human growth by day&quot;)
lines(growth_e$h_18486, col=&quot;red&quot;)
lines(growth_e$h_18499, col=&quot;orange&quot;)
lines(growth_e$h_18502, col=&quot;yellow&quot;)
lines(growth_e$h_18504, col=&quot;green&quot;)
lines(growth_e$h_18510, col= &quot;blue&quot;)
lines(growth_e$h_18517, col=&quot;purple&quot;)
lines(growth_e$h_18523, col=&quot;pink&quot;)</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-3-1.png" width="672" style="display: block; margin: auto;" /></p>
<pre class="r"><code>plot(growth_e$avg_c, xlab=&quot;Day&quot;, ylim=c(0,3), ylab=&quot;cells/ml 10^6&quot;, main=&quot;Chimp Growth by day&quot;)
lines(growth_e$c_c3641, col=&quot;red&quot;)
lines(growth_e$c_pt30, col=&quot;orange&quot;)
lines(growth_e$c_pt91, col=&quot;yellow&quot;)
lines(growth_e$c_3610, col=&quot;green&quot;)
lines(growth_e$c_3659, col= &quot;blue&quot;)
lines(growth_e$c_18358, col=&quot;purple&quot;)
lines(growth_e$c_18359, col=&quot;pink&quot;)
lines(growth_e$c_3622, col=&quot;black&quot;)</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-4-1.png" width="672" style="display: block; margin: auto;" /></p>
<pre class="r"><code>alive=read.csv(&quot;../data/perc_alive_3.16.csv&quot;, header=TRUE)
alive_e= alive %&gt;% filter(control==&quot;e&quot;) %&gt;% mutate(avg_h=(h_18486+ h_18499 + h_18502 + h_18504 + h_18510 + h_18517 + h_18523)/7) %&gt;% mutate(avg_c=(c_c3641 + c_pt30 + c_pt91 + c_3610 + c_3659 + c_3622 + c_18358 + c_18359)/8)</code></pre>
<pre class="r"><code>plot(alive_e$avg_h, xlab=&quot;Day&quot;, ylim=c(50,100), ylab=&quot;Percent living&quot;, main=&quot;Human perc living by day&quot;)
lines(alive_e$h_18486, col=&quot;red&quot;)
lines(alive_e$h_18499, col=&quot;orange&quot;)
lines(alive_e$h_18502, col=&quot;yellow&quot;)
lines(alive_e$h_18504, col=&quot;green&quot;)
lines(alive_e$h_18510, col= &quot;blue&quot;)
lines(alive_e$h_18517, col=&quot;purple&quot;)
lines(alive_e$h_18523, col=&quot;pink&quot;)
abline(v=3,lwd=3, lty=2)</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-6-1.png" width="672" style="display: block; margin: auto;" /></p>
<pre class="r"><code>plot(alive_e$avg_c, xlab=&quot;Day&quot;, ylim=c(0,100), ylab=&quot;Percent living&quot;, main=&quot;Chimp perc living by day&quot;)
lines(alive_e$c_c3641, col=&quot;red&quot;)
lines(alive_e$c_pt30, col=&quot;orange&quot;)
lines(alive_e$c_pt91, col=&quot;yellow&quot;)
lines(alive_e$c_3610, col=&quot;green&quot;)
lines(alive_e$c_3659, col= &quot;blue&quot;)
lines(alive_e$c_18358, col=&quot;purple&quot;)
lines(alive_e$c_18359, col=&quot;pink&quot;)
lines(alive_e$c_3622, col=&quot;black&quot;)
abline(v=3,lwd=3, lty=2)</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-7-1.png" width="672" style="display: block; margin: auto;" /></p>
<pre class="r"><code>plot(alive_e$avg_h ~ growth_e$avg_h, ylab=&quot;Percent living&quot;, xlab=&quot;Concentration&quot;, ylim=c(50,100), pch=16, main=&quot;Human Percent living vs Concentration&quot;)
points(alive_e$h_18486 ~ growth_e$h_18486, col=&quot;red&quot;, pch=16)
points(alive_e$h_18499 ~ growth_e$h_18499, col=&quot;orange&quot;, pch=16)
points(alive_e$h_18502 ~ growth_e$h_18502, col=&quot;yellow&quot;, pch=16)
points(alive_e$h_18504 ~ growth_e$h_18504, col=&quot;green&quot;, pch=16)
points(alive_e$h_18510 ~ growth_e$h_18510, col=&quot;blue&quot;, pch=16)
points(alive_e$h_18517 ~ growth_e$h_18517, col=&quot;purple&quot;, pch=16)
points(alive_e$h_18523 ~ growth_e$h_18523, col=&quot;pink&quot;, pch=16)

reg= lm(alive_e$avg_h~ growth_e$avg_h)
coeff=coefficients(reg)
eq = paste0(&quot;y = &quot;, round(coeff[2],1), &quot;*x +&quot;, round(coeff[1],1))
abline(reg)
mtext(eq, side=4)</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-8-1.png" width="672" style="display: block; margin: auto;" /></p>
<pre class="r"><code>plot(alive_e$avg_c ~ growth_e$avg_c, ylab=&quot;Percent living&quot;, xlab=&quot;Concentration&quot;, ylim=c(0,100), pch=16, main=&quot;Chimp Percent living vs Concentration&quot;)
points(alive_e$c_c3641 ~ growth_e$c_c3641, col=&quot;red&quot;, pch=16)
points(alive_e$c_pt30 ~ growth_e$c_pt30, col=&quot;orange&quot;, pch=16)
points(alive_e$c_pt91 ~ growth_e$c_pt91, col=&quot;yellow&quot;, pch=16)
points(alive_e$c_3610 ~ growth_e$c_3610, col=&quot;green&quot;, pch=16)
points(alive_e$c_3659 ~ growth_e$c_3659, col=&quot;blue&quot;, pch=16)
points(alive_e$c_18358 ~ growth_e$c_18358, col=&quot;purple&quot;, pch=16)
points(alive_e$c_18359 ~ growth_e$c_18359, col=&quot;pink&quot;, pch=16)
points(alive_e$c_3622 ~ growth_e$c_3622, col=&quot;grey&quot;, pch=16)
reg= lm(alive_e$avg_c~ growth_e$avg_c)
coeff=coefficients(reg)
eq = paste0(&quot;y = &quot;, round(coeff[2],1), &quot;*x +&quot;, round(coeff[1],1))
abline(reg)
mtext(eq, side=4)</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-9-1.png" width="672" style="display: block; margin: auto;" /> days:</p>
<ul>
<li><p>1: saturday</p></li>
<li><p>2: sunday</p></li>
<li><p>3: monday</p></li>
<li><p>4: tuesday</p></li>
<li><p>5: wednesday</p></li>
<li><p>6: thursday</p></li>
</ul>
<p>Before feeding was Feeding happend monday. I will add a verticle line this day.</p>
<pre class="r"><code>plot(growth_e$avg_h, xlab=&quot;Day&quot;, ylim=c(0,2), ylab=&quot;cells/ml 10^6&quot;, main=&quot;Human growth by day&quot;)
lines(growth_e$h_18486, col=&quot;red&quot;)
lines(growth_e$h_18499, col=&quot;orange&quot;)
lines(growth_e$h_18502, col=&quot;yellow&quot;)
lines(growth_e$h_18504, col=&quot;green&quot;)
lines(growth_e$h_18510, col= &quot;blue&quot;)
lines(growth_e$h_18517, col=&quot;purple&quot;)
lines(growth_e$h_18523, col=&quot;pink&quot;)
abline(v=3, lwd=3, lty=2)</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-10-1.png" width="672" style="display: block; margin: auto;" /></p>
<pre class="r"><code>plot(growth_e$avg_c, xlab=&quot;Day&quot;, ylim=c(0,3), ylab=&quot;cells/ml 10^6&quot;, main=&quot;Chimp Growth by day&quot;)
lines(growth_e$c_c3641, col=&quot;red&quot;)
lines(growth_e$c_pt30, col=&quot;orange&quot;)
lines(growth_e$c_pt91, col=&quot;yellow&quot;)
lines(growth_e$c_3610, col=&quot;green&quot;)
lines(growth_e$c_3659, col= &quot;blue&quot;)
lines(growth_e$c_18358, col=&quot;purple&quot;)
lines(growth_e$c_18359, col=&quot;pink&quot;)
lines(growth_e$c_3622, col=&quot;black&quot;)
abline(v=3,lwd=3, lty=2)</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-11-1.png" width="672" style="display: block; margin: auto;" /></p>
<p>add a day post split / feed column so I can plot by this:</p>
<pre class="r"><code>days_post=c(1,2,3,1,2,3)
days_post= as.factor(days_post)

growth_e_DP= cbind(days_post,growth_e)</code></pre>
<div id="redo-analysis-on-321" class="section level3">
<h3>Redo analysis on 3/21</h3>
<pre class="r"><code>growth_3.21=read.csv(&quot;../data/cell_growth_3.21.18.csv&quot;, stringsAsFactors = FALSE)

growth_e1=growth_3.21 %&gt;% filter(Type==&quot;e1&quot;)

growth_e2=growth_3.21 %&gt;% filter(Type==&quot;e2&quot;)</code></pre>
<p>Melt the data:</p>
<pre class="r"><code>growth_e2_long=melt(growth_e2, variable.name = &quot;key&quot;,value.names = &quot;value&quot;, id.vars = c(&quot;Line&quot;, &quot;Day&quot;)) %&gt;% filter(key != &quot;Type&quot;)</code></pre>
<p>Plot day vs allive:</p>
<pre class="r"><code>growth_e2_long_live=growth_e2_long %&gt;% filter(key==&quot;X..Live.average&quot;)
ggplot(growth_e2_long, aes(x=as.factor(Day), y=as.numeric(value), group_by(Line)))+ geom_violin()</code></pre>
<pre><code>Warning in fun(x, ...): NAs introduced by coercion</code></pre>
<pre><code>Warning in FUN(X[[i]], ...): NAs introduced by coercion</code></pre>
<pre><code>Warning: Removed 168 rows containing non-finite values (stat_ydensity).</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-15-1.png" width="672" style="display: block; margin: auto;" /></p>
<pre class="r"><code>growth_e1_day_group=growth_e1[order(growth_e1$Day),]

growth_e2_day_group=growth_e2[order(growth_e2$Day),]</code></pre>
<pre class="r"><code>par(mfrow=c(1,2))

plot(as.factor(growth_e1_day_group$Day),as.numeric(growth_e1_day_group$X..Live.average), main=&quot;Percent living by day, E1&quot;, ylab=&quot;Percent alive&quot; )</code></pre>
<pre><code>Warning in is.factor(y): NAs introduced by coercion</code></pre>
<pre class="r"><code>plot(as.factor(growth_e2_day_group$Day),as.numeric(growth_e2_day_group$X..Live.average), main=&quot;Percent living by day, E2&quot;, ylab=&quot;Percent alive&quot;)</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-17-1.png" width="672" style="display: block; margin: auto;" /></p>
<pre class="r"><code>growth_e1_long_av=melt(growth_e1, variable.name = &quot;key&quot;,value.names = &quot;value&quot;, id.vars = c(&quot;Line&quot;, &quot;Day&quot;)) %&gt;% filter(key==&quot;Average&quot;)


ggplot(growth_e1_long_av,aes(x=as.factor(Day), y=as.numeric(value))) + geom_point(aes(col=Line)) + labs(x=&quot;Day&quot;, y=&quot;cells/ml in 10^6&quot;) + ggtitle(&quot;Cell density&quot;)</code></pre>
<pre><code>Warning in fun(x, ...): NAs introduced by coercion</code></pre>
<pre><code>Warning in FUN(X[[i]], ...): NAs introduced by coercion</code></pre>
<pre><code>Warning: Removed 1 rows containing missing values (geom_point).</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-18-1.png" width="672" style="display: block; margin: auto;" /></p>
<pre class="r"><code>growth_e1_long_live=melt(growth_e1, variable.name = &quot;key&quot;,value.names = &quot;value&quot;, id.vars = c(&quot;Line&quot;, &quot;Day&quot;)) %&gt;% filter(key==&quot;X..Live.average&quot;)


ggplot(growth_e1_long_live,aes(x=as.factor(Day), y=as.numeric(value))) + geom_point(aes(col=Line)) + labs(x=&quot;Day&quot;, y=&quot;Percent Alive&quot;) + ggtitle(&quot;% Alive by day and line&quot;)</code></pre>
<pre><code>Warning in fun(x, ...): NAs introduced by coercion</code></pre>
<pre><code>Warning in FUN(X[[i]], ...): NAs introduced by coercion</code></pre>
<pre><code>Warning: Removed 1 rows containing missing values (geom_point).</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-19-1.png" width="672" style="display: block; margin: auto;" /></p>
<pre class="r"><code>species=c(rep(&quot;H&quot;, 84), rep(&quot;C&quot;, 84))
palette(c(&quot;red&quot;, &quot;blue&quot;))
growth_e1=cbind(growth_e1, species)
plot(as.numeric(growth_e1$Average)~as.numeric(growth_e1$X..Live.average),col=as.factor(growth_e1$species),pch=16, main=&quot;Density vs Percent alive&quot;, ylab=&quot;Cells/ML in 10^6&quot;, xlab=&quot;Percent Alive&quot;)</code></pre>
<pre><code>Warning in eval(predvars, data, env): NAs introduced by coercion

Warning in eval(predvars, data, env): NAs introduced by coercion</code></pre>
<pre class="r"><code>legend(&quot;topleft&quot;, legend=c(&quot;Humans&quot;, &quot;Chimps&quot;),
       col=c(&quot;red&quot;, &quot;blue&quot;), pch=16, cex=1, title=&quot;Species&quot;)</code></pre>
<p><img src="figure/LCL_growth.Rmd/unnamed-chunk-20-1.png" width="672" style="display: block; margin: auto;" /></p>
</div>
<div id="session-information" class="section level2">
<h2>Session information</h2>
<!-- Insert the session information into the document -->
<pre class="r"><code>sessionInfo()</code></pre>
<pre><code>R version 3.4.2 (2017-09-28)
Platform: x86_64-apple-darwin15.6.0 (64-bit)
Running under: macOS Sierra 10.12.6

Matrix products: default
BLAS: /Library/Frameworks/R.framework/Versions/3.4/Resources/lib/libRblas.0.dylib
LAPACK: /Library/Frameworks/R.framework/Versions/3.4/Resources/lib/libRlapack.dylib

locale:
[1] en_US.UTF-8/en_US.UTF-8/en_US.UTF-8/C/en_US.UTF-8/en_US.UTF-8

attached base packages:
[1] stats     graphics  grDevices utils     datasets  methods   base     

other attached packages:
[1] bindrcpp_0.2   reshape2_1.4.3 ggplot2_2.2.1  tidyr_0.7.2   
[5] dplyr_0.7.4   

loaded via a namespace (and not attached):
 [1] Rcpp_0.12.15     knitr_1.18       bindr_0.1        magrittr_1.5    
 [5] munsell_0.4.3    colorspace_1.3-2 R6_2.2.2         rlang_0.1.6     
 [9] plyr_1.8.4       stringr_1.2.0    tools_3.4.2      grid_3.4.2      
[13] gtable_0.2.0     git2r_0.21.0     htmltools_0.3.6  lazyeval_0.2.1  
[17] yaml_2.1.16      rprojroot_1.3-2  digest_0.6.14    assertthat_0.2.0
[21] tibble_1.4.2     purrr_0.2.4      glue_1.2.0       evaluate_0.10.1 
[25] rmarkdown_1.8.5  labeling_0.3     stringi_1.1.6    compiler_3.4.2  
[29] pillar_1.1.0     scales_0.5.0     backports_1.1.2  pkgconfig_2.0.1 </code></pre>
</div>

<hr>
<p>
    This <a href="http://rmarkdown.rstudio.com">R Markdown</a> site was created with <a href="https://github.com/jdblischak/workflowr">workflowr</a>
</p>
<hr>

<!-- To enable disqus, uncomment the section below and provide your disqus_shortname -->

<!-- disqus
  <div id="disqus_thread"></div>
    <script type="text/javascript">
        /* * * CONFIGURATION VARIABLES: EDIT BEFORE PASTING INTO YOUR WEBPAGE * * */
        var disqus_shortname = 'rmarkdown'; // required: replace example with your forum shortname

        /* * * DON'T EDIT BELOW THIS LINE * * */
        (function() {
            var dsq = document.createElement('script'); dsq.type = 'text/javascript'; dsq.async = true;
            dsq.src = '//' + disqus_shortname + '.disqus.com/embed.js';
            (document.getElementsByTagName('head')[0] || document.getElementsByTagName('body')[0]).appendChild(dsq);
        })();
    </script>
    <noscript>Please enable JavaScript to view the <a href="http://disqus.com/?ref_noscript">comments powered by Disqus.</a></noscript>
    <a href="http://disqus.com" class="dsq-brlink">comments powered by <span class="logo-disqus">Disqus</span></a>
-->


</div>
</div>

</div>

<script>

// add bootstrap table styles to pandoc tables
function bootstrapStylePandocTables() {
  $('tr.header').parent('thead').parent('table').addClass('table table-condensed');
}
$(document).ready(function () {
  bootstrapStylePandocTables();
});


</script>

<!-- dynamically load mathjax for compatibility with self-contained -->
<script>
  (function () {
    var script = document.createElement("script");
    script.type = "text/javascript";
    script.src  = "https://mathjax.rstudio.com/latest/MathJax.js?config=TeX-AMS-MML_HTMLorMML";
    document.getElementsByTagName("head")[0].appendChild(script);
  })();
</script>

</body>
</html>