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<h1 class="title toc-ignore">Histogram of correlated <span class="math inline">\(z\)</span> scores, Part 1</h1>
<h4 class="author"><em>Lei Sun</em></h4>
<h4 class="date"><em>2017-03-06</em></h4>
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<p><strong>Last updated:</strong> 2018-05-12</p>
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<p><strong>Last updated:</strong> 2018-05-12</p>
<p><strong>Code version:</strong> ddf9062</p>
<div id="introduction" class="section level2">
<h2>Introduction</h2>
<p><a href="http://amstat.tandfonline.com/doi/abs/10.1198/jasa.2010.tm09129">Efron 2010</a> and <a href="http://amstat.tandfonline.com/doi/abs/10.1198/jasa.2010.tm10237">Schwartzman’s comment</a> brings to the center the question “what’s the behavior of <span class="math inline">\(z\)</span> scores under correlation?” Schwartzman pointed out in theory that “the observed histogram is more likely to be narrow than wide, and that it cannot be too wide before it becomes bimodal.” Let’s take a look if this result holds true under our simulation scheme with GTex/Liver data.</p>
</div>
<div id="histograms-on-randomly-sampled-data-sets" class="section level2">
<h2>Histograms on randomly sampled data sets</h2>
<pre class="r"><code>z = read.table("../output/z_null_liver_777.txt")</code></pre>
<p>We randomly selected 20 data sets, each with <span class="math inline">\(10000\)</span> z scores, generated by the <a href="nullpipeline.html">null simulation pipeline</a>. Based on each data set we plot two histograms, one using default number of bins and the other <span class="math inline">\(100\)</span> bins. The red line indicates the density of <span class="math inline">\(N(0, 1)\)</span>.</p>
<pre class="r"><code>set.seed(777)
sample_z = sort(sample(dim(z)[1], 20))
x = seq(- 10, 10, 0.01)
y = dnorm(x)
for (i in sample_z) {
cat("Data Set", i)
hist(as.numeric(z[i, ]), xlab = "z scores", freq = FALSE, ylim = c(0, 0.45), main = "10000 z scores, default")
lines(x, y, col = "red")
hist(as.numeric(z[i, ]), xlab = "z scores", freq = FALSE, ylim = c(0, 0.45), nclass = 100, main = "10000 z scores, 100 bins")
lines(x, y, col = "red")
}</code></pre>
<pre><code>Data Set 11</code></pre>
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<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-2.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-2.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-2.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 103</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-3.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-3.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-3.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-3.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-3.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-4.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-4.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-4.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-4.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-4.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 171</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-5.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-5.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-5.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-5.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-5.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-6.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-6.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-6.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-6.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-6.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 247</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-7.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-7.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-7.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-7.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-7.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-8.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-8.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-8.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-8.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-8.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 343</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-9.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-9.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-9.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-9.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-9.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-10.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-10.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-10.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-10.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-10.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 345</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-11.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-11.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-11.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-11.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-11.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-12.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-12.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-12.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-12.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-12.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 347</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-13.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-13.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-13.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-13.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-13.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-14.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-14.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-14.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-14.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-14.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 383</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-15.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-15.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-15.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-15.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-15.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-16.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-16.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-16.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-16.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-16.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 412</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-17.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-17.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-17.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-17.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-17.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-18.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-18.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-18.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-18.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-18.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 492</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-19.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-19.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-19.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-19.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-19.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-20.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-20.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-20.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-20.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-20.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 574</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-21.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-21.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-21.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-21.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-21.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-22.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-22.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-22.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-22.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-22.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 588</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-23.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-23.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-23.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-23.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-23.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-24.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-24.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-24.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-24.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-24.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 654</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-25.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-25.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-25.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-25.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-25.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-26.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-26.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-26.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-26.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-26.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 688</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-27.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-27.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-27.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-27.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-27.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-28.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-28.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-28.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-28.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-28.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 693</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-29.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-29.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-29.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-29.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-29.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-30.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-30.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-30.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-30.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-30.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 726</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-31.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-31.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-31.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-31.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-31.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-32.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-32.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-32.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-32.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-32.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 853</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-33.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-33.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-33.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-33.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-33.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-34.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-34.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-34.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-34.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-34.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 855</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-35.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-35.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-35.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-35.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-35.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-36.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-36.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-36.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-36.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-36.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 942</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-37.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-37.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-37.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-37.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-37.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-38.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-38.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-38.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-38.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-38.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<pre><code>Data Set 993</code></pre>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-39.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-39.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-39.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-39.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-39.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
<p><img src="figure/correlated_z.Rmd/unnamed-chunk-2-40.png" width="672" style="display: block; margin: auto;" /></p>
<details>
<summary><em>Expand here to see past versions of unnamed-chunk-2-40.png:</em></summary>
<table style = "border-collapse:separate; border-spacing:5px;">
<thead>
<tr>
<th style="text-align:left;">
Version
</th>
<th style="text-align:left;">
Author
</th>
<th style="text-align:left;">
Date
</th>
</tr>
</thead>
<tbody>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/0f36d998db26444c5dd01502ea1af7fbd1129b22/docs/figure/correlated_z.Rmd/unnamed-chunk-2-40.png" target="_blank">0f36d99</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-12-21
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/03366d9cdbb6e40adbb2aab97a28bbeb538cf29b/docs/figure/correlated_z.Rmd/unnamed-chunk-2-40.png" target="_blank">03366d9</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
<tr>
<td style="text-align:left;">
<a href="https://github.com/LSun/truncash/blob/def3da5b307e2c83dc07b6b35e12d333320c9540/docs/figure/correlated_z.Rmd/unnamed-chunk-2-40.png" target="_blank">def3da5</a>
</td>
<td style="text-align:left;">
LSun
</td>
<td style="text-align:left;">
2017-03-06
</td>
</tr>
</tbody>
</table>
</details>
</div>
<div id="session-information" class="section level2">
<h2>Session Information</h2>
</div>
<div id="session-information-1" class="section level2">
<h2>Session information</h2>
<pre class="r"><code>sessionInfo()</code></pre>
<pre><code>R version 3.4.3 (2017-11-30)
Platform: x86_64-apple-darwin15.6.0 (64-bit)
Running under: macOS High Sierra 10.13.4
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
loaded via a namespace (and not attached):
[1] workflowr_1.0.1 Rcpp_0.12.16 digest_0.6.15
[4] rprojroot_1.3-2 R.methodsS3_1.7.1 backports_1.1.2
[7] git2r_0.21.0 magrittr_1.5 evaluate_0.10.1
[10] stringi_1.1.6 whisker_0.3-2 R.oo_1.21.0
[13] R.utils_2.6.0 rmarkdown_1.9 tools_3.4.3
[16] stringr_1.3.0 yaml_2.1.18 compiler_3.4.3
[19] htmltools_0.3.6 knitr_1.20 </code></pre>
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