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<h1 class="title toc-ignore">BayesDP</h1>
<h4 class="author"><em>Donnie Musgrove</em></h4>
<h4 class="date"><em>2018-07-10</em></h4>


<div id="TOC">
<ul>
<li><a href="#introduction">Introduction</a><ul>
<li><a href="#estimation-of-the-historical-data-weight">Estimation of the historical data weight</a><ul>
<li><a href="#discount-function">Discount function</a></li>
</ul></li>
<li><a href="#estimation-of-the-posterior-distribution-of-the-current-data-conditional-on-the-historical-data">Estimation of the posterior distribution of the current data, conditional on the historical data</a></li>
<li><a href="#estimation-of-the-posterior-treatment-effect-treatment-versus-control">Estimation of the posterior treatment effect: treatment versus control</a></li>
<li><a href="#inputting-data">Inputting Data</a></li>
</ul></li>
<li><a href="#examples">Examples</a><ul>
<li><a href="#one-arm-trial">One-arm trial</a></li>
<li><a href="#two-arm-trial">Two-arm trial</a></li>
</ul></li>
</ul>
</div>

<div id="introduction" class="section level1">
<h1>Introduction</h1>
<p>The purpose of this vignette is to introduce the <code>bdpnormal</code> function. <code>bdpnormal</code> is used for estimating posterior samples from a Gaussian mean outcome for clinical trials where an informative prior is used. In the parlance of clinical trials, the informative prior is derived from historical data. The weight given to the historical data is determined using what we refer to as a discount function. There are three steps in carrying out estimation:</p>
<ol style="list-style-type: decimal">
<li><p>Estimation of the historical data weight, denoted <span class="math inline">\(\hat{\alpha}\)</span>, via the discount function</p></li>
<li><p>Estimation of the posterior distribution of the current data, conditional on the historical data weighted by <span class="math inline">\(\hat{\alpha}\)</span></p></li>
<li><p>If a two-arm clinical trial, estimation of the posterior treatment effect, i.e., treatment versus control</p></li>
</ol>
<p>Throughout this vignette, we use the terms <code>current</code>, <code>historical</code>, <code>treatment</code>, and <code>control</code>. These terms are used because the model was envisioned in the context of clinical trials where historical data may be present. Because of this terminology, there are 4 potential sources of data:</p>
<ol style="list-style-type: decimal">
<li><p>Current treatment data: treatment data from a current study</p></li>
<li><p>Current control data: control (or other treatment) data from a current study</p></li>
<li><p>Historical treatment data: treatment data from a previous study</p></li>
<li><p>Historical control data: control (or other treatment) data from a previous study</p></li>
</ol>
<p>If only treatment data is input, the function considers the analysis a one-arm trial. If treatment data + control data is input, then it is considered a two-arm trial.</p>
<div id="estimation-of-the-historical-data-weight" class="section level2">
<h2>Estimation of the historical data weight</h2>
<p>In the first estimation step, the historical data weight <span class="math inline">\(\hat{\alpha}\)</span> is estimated. In the case of a two-arm trial, where both treatment and control data are available, an <span class="math inline">\(\hat{\alpha}\)</span> value is estimated separately for each of the treatment and control arms. Of course, historical treatment or historical control data must be present, otherwise <span class="math inline">\(\hat{\alpha}\)</span> is not estimated for the corresponding arm.</p>
<p>When historical data are available, estimation of <span class="math inline">\(\hat{\alpha}\)</span> is carried out as follows. Let <span class="math inline">\(\bar{y}\)</span>, <span class="math inline">\(s\)</span>, and <span class="math inline">\(N\)</span> denote the sample mean, sample standard deviation, and sample size of the current data, respectively. Similarly, let <span class="math inline">\(\bar{y}_0\)</span>, <span class="math inline">\(s_0\)</span>, and <span class="math inline">\(N_0\)</span> denote the sample mean, sample standard deviation, and sample size of the historical data, respectively. Then, the posterior distribution of the mean for current data, under vague (flat) priors is</p>
<p><span class="math display">\[ \begin{array}{rcl}
\tilde{\sigma}^2\mid\bar{y},s,N &amp; \sim &amp; InverseGamma\left(\frac{N-1}{2},\,\frac{N-1}{2}s^2 \right),\\
\\
\tilde{\mu}\mid\bar{y},N,\tilde{\sigma}^2 &amp; \sim &amp; \mathcal{N}ormal\left(\bar{y},\, \frac{1}{N}\tilde{\sigma}^2  \right).
\end{array}
\]</span></p>
<p>Similarly, the posterior distribution of the mean for historical data, under vague (flat) priors is <span class="math display">\[ \begin{array}{rcl}
\sigma^2_0 &amp; \sim &amp; InverseGamma\left(\frac{N_0-1}{2},\,\frac{N_0-1}{2}s_0^2 \right),\\
\\
\mu_0 \mid \bar{y}_0, N_0, \sigma^2_0 &amp;  \sim  &amp; \mathcal{N}ormal\left(\bar{y}_0,\, \frac{1}{N_0}\sigma^2_0  \right).
\end{array}
\]</span></p>
<p>We next compute the posterior probability <span class="math inline">\(p = Pr\left(\tilde{\mu} &lt; \mu_0\mid\bar{y},s,N,\bar{y}_0,s_0,N_0\right)\)</span>. Finally, for a discount function, denoted <span class="math inline">\(W\)</span>, <span class="math inline">\(\hat{\alpha}\)</span> is computed as <span class="math display">\[
\hat{\alpha} = \alpha_{max}\cdot W\left(p, \,w\right),\,0\le p\le1,
\]</span> where <span class="math inline">\(w\)</span> may be one or more parameters associated with the discount function and <span class="math inline">\(\alpha_{max}\)</span> scales the weight <span class="math inline">\(\hat{\alpha}\)</span> by a user-input maximum value. More details on the discount functions are given in the discount function section below.</p>
<p>There are several model inputs at this first stage. First, the user can select the discount function type via the <code>discount_function</code> input (see below). Next, choosing <code>fix_alpha=TRUE</code> forces a fixed value of <span class="math inline">\(\hat{\alpha}\)</span> (at the <code>alpha_max</code> input), as opposed to estimation via the discount function. In the next modeling stage, a Monte Carlo estimation approach is used, requiring several samples from the posterior distributions. Thus, the user can input a sample size greater than or less than the default value of <code>number_mcmc=10000</code>.</p>
<p>An alternate Monte Carlo-based estimation scheme of <span class="math inline">\(\hat{\alpha}\)</span> has been implemented, controlled by the function input <code>method=&quot;mc&quot;</code>. Here, instead of treating <span class="math inline">\(\hat{\alpha}\)</span> as a fixed quantity, <span class="math inline">\(\hat{\alpha}\)</span> is treated as random. First, <span class="math inline">\(p\)</span>, is computed as</p>
<p><span class="math display">\[ \begin{array}{rcl}
Z &amp; = &amp; \displaystyle{\frac{\left|\tilde{\mu}-\mu_0\right|}{\sqrt{v^2 + v^2_0}}} ,\\
\\
p &amp;  =  &amp; 2\left(1-\Phi\left(Z\right)\right),
\end{array}
\]</span> where <span class="math inline">\(\Phi\left(x\right)\)</span> is the <span class="math inline">\(x\)</span>th quantile of a standard normal (i.e., the <code>pnorm</code> R function). Here, <span class="math inline">\(v^2\)</span> and <span class="math inline">\(v^2_0\)</span> are the variances of <span class="math inline">\(\tilde{\mu}\)</span> and <span class="math inline">\(\mu_0\)</span>, respectively. Next, <span class="math inline">\(p\)</span> is used to construct <span class="math inline">\(\hat{\alpha}\)</span> via the discount function. Since the values <span class="math inline">\(Z\)</span> and <span class="math inline">\(p\)</span> are computed at each iteration of the Monte Carlo estimation scheme, <span class="math inline">\(\hat{\alpha}\)</span> is computed at each iteration of the Monte Carlo estimation scheme, resulting in a distribution of <span class="math inline">\(\hat{\alpha}\)</span> values.</p>
<div id="discount-function" class="section level3">
<h3>Discount function</h3>
<p>There are currently three discount functions implemented throughout the <code>bayesDP</code> package. The discount function is specified using the <code>discount_function</code> input with the following choices available:</p>
<ol style="list-style-type: decimal">
<li><p><code>identity</code> (default): Identity.</p></li>
<li><p><code>weibull</code>: Weibull cumulative distribution function (CDF);</p></li>
<li><p><code>scaledweibull</code>: Scaled Weibull CDF;</p></li>
</ol>
<p>First, the identity discount function (default) sets the discount weight <span class="math inline">\(\hat{\alpha}=p\)</span>.</p>
<p>Second, the Weibull CDF has two user-specified parameters associated with it, the shape and scale. The default shape is 3 and the default scale is 0.135, each of which are controlled by the function inputs <code>weibull_shape</code> and <code>weibull_scale</code>, respectively. The form of the Weibull CDF is <span class="math display">\[W(x) = 1 - \exp\left\{- (x/w_{scale})^{w_{shape}}\right\}.\]</span></p>
<p>The third discount function option is the Scaled Weibull CDF. The Scaled Weibull CDF is the Weibull CDF divided by the value of the Weibull CDF evaluated at 1, i.e., <span class="math display">\[W^{\ast}(x) = W(x)/W(1).\]</span> Similar to the Weibull CDF, the Scaled Weibull CDF has two user-specified parameters associated with it, the shape and scale, again controlled by the function inputs <code>weibull_shape</code> and <code>weibull_scale</code>, respectively.</p>
<p>Using the default shape and scale inputs, each of the discount functions are shown below. <img src="data:image/png;base64,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" 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" width="60%" style="display: block; margin: auto;" /></p>
<p>In each of the above plots, the x-axis is the stochastic comparison between current and historical data, which we’ve denoted <span class="math inline">\(p\)</span>. The y-axis is the discount value <span class="math inline">\(\hat{\alpha}\)</span> that corresponds to a given value of <span class="math inline">\(p\)</span>.</p>
<p>An advanced input for the plot function is <code>print</code>. The default value is <code>print = TRUE</code>, which simply returns the graphics. Alternately, users can specify <code>print = FALSE</code>, which returns a <code>ggplot2</code> object. Below is an example using the discount function plot:</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">p1 &lt;-<span class="st"> </span><span class="kw">plot</span>(fit02, <span class="dt">type=</span><span class="st">&quot;discount&quot;</span>, <span class="dt">print=</span><span class="ot">FALSE</span>)
p1 <span class="op">+</span><span class="st"> </span><span class="kw">ggtitle</span>(<span class="st">&quot;Discount Function Plot :-)&quot;</span>)</code></pre></div>
<p><img 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" width="60%" style="display: block; margin: auto;" /></p>
</div>
</div>
<div id="estimation-of-the-posterior-distribution-of-the-current-data-conditional-on-the-historical-data" class="section level2">
<h2>Estimation of the posterior distribution of the current data, conditional on the historical data</h2>
<p>With <span class="math inline">\(\hat{\alpha}\)</span> in hand, we can now estimate the posterior distribution of the mean of the current data. Using the notation of the previous section, the posterior distribution is <span class="math display">\[\mu \sim \mathcal{N}ormal\left( \frac{\sigma^2_0N\bar{y} + \tilde{\sigma}^2N_0\bar{y}_0\hat{\alpha}}{N\sigma^2_0 + \tilde{\sigma}^2N_0\hat{\alpha}},\,\frac{\tilde{\sigma}^2\sigma^2_0}{N\sigma^2_0 + \tilde{\sigma}^2N_0\hat{\alpha}}      \right).\]</span> At this model stage, we have in hand <code>number_mcmc</code> simulations from the augmented mean distribution. If there are no control data, i.e., a one-arm trial, then the modeling stops and we generate summaries of the posterior distribution of <span class="math inline">\(\mu\)</span>. Otherwise, if there are control data, we proceed to a third step and compute a comparison between treatment and control data.</p>
</div>
<div id="estimation-of-the-posterior-treatment-effect-treatment-versus-control" class="section level2">
<h2>Estimation of the posterior treatment effect: treatment versus control</h2>
<p>This step of the model is carried out on-the-fly using the <code>summary</code> or <code>print</code> methods. Let <span class="math inline">\(\mu_T\)</span> and <span class="math inline">\(\mu_C\)</span> denote posterior mean estimates of the treatment and control arms, respectively. Currently, the implemented comparison between treatment and control is the difference, i.e., summary statistics related to the posterior difference: <span class="math inline">\(\mu_T - \mu_C\)</span>. In a future release, we may consider implementing additional comparison types.</p>
</div>
<div id="inputting-data" class="section level2">
<h2>Inputting Data</h2>
<p>The data inputs for <code>bdpnormal</code> are <code>mu_t</code>, <code>sigma_t</code>, <code>N_t</code>, <code>mu0_t</code>, <code>sigma0_t</code>, <code>N0_t</code>, <code>mu_c</code>, <code>sigma_c</code>, <code>N_c</code>, <code>mu0_c</code>, <code>sigma0_c</code>, and <code>N0_c</code>. The data must be input as (<code>mu</code>, <code>sigma</code>, <code>N</code>) triplets. For example, <code>mu_t</code>, the sample mean of the current treatment group, must be accompanied by <code>sigma_t</code> and <code>N_t</code>, the sample standard deviation and sample size, respectively. Historical data inputs are not necessary, but using this function would not be necessary either.</p>
<p><strong>At the minimum, <code>mu_t</code>, <code>sigma_t</code>, and <code>N_t</code> must be input</strong>. In the case that only <code>mu_t</code>, <code>sigma_t</code>, and <code>N_t</code> are input, the analysis is analogous to a one-sample t-test. Each of the following input combinations are allowed:</p>
<ul>
<li>(<code>mu_t</code>, <code>sigma_t</code>, <code>N_t</code>) - one-arm trial</li>
<li>(<code>mu_t</code>, <code>sigma_t</code>, <code>N_t</code>) + (<code>mu0_t</code>, <code>sigma0_t</code>, <code>N0_t</code>) - one-arm trial</li>
<li>(<code>mu_t</code>, <code>sigma_t</code>, <code>N_t</code>) + (<code>mu_c</code>, <code>sigma_c</code>, <code>N_c</code>) - two-arm trial</li>
<li>(<code>mu_t</code>, <code>sigma_t</code>, <code>N_t</code>) + (<code>mu0_c</code>, <code>sigma0_c</code>, <code>N0_c</code>) - two-arm trial</li>
<li>(<code>mu_t</code>, <code>sigma_t</code>, <code>N_t</code>) + (<code>mu0_t</code>, <code>sigma0_t</code>, <code>N0_t</code>) + (<code>mu_c</code>, <code>sigma_c</code>, <code>N_c</code>) - two-arm trial</li>
<li>(<code>mu_t</code>, <code>sigma_t</code>, <code>N_t</code>) + (<code>mu0_t</code>, <code>sigma0_t</code>, <code>N0_t</code>) + (<code>mu0_c</code>, <code>sigma0_c</code>, <code>N0_c</code>) - two-arm trial</li>
<li>(<code>mu_t</code>, <code>sigma_t</code>, <code>N_t</code>) + (<code>mu0_t</code>, <code>sigma0_t</code>, <code>N0_t</code>) + (<code>mu_c</code>, <code>sigma_c</code>, <code>N_c</code>) + (<code>mu0_c</code>, <code>sigma0_c</code>, <code>N0_c</code>) - two-arm trial</li>
</ul>
</div>
</div>
<div id="examples" class="section level1">
<h1>Examples</h1>
<div id="one-arm-trial" class="section level2">
<h2>One-arm trial</h2>
<p>Suppose we have historical data with a mean of <code>mu0_t=50</code>, standard deviation of <code>sigma0_t=10</code>, and sample size of <code>N0_t=50</code> patients. Also suppose that we have current data with a mean of <code>mu_t=45</code>, standard deviation of <code>sigma_t=10</code>, and sample size of <code>N_t=50</code>. To illustrate the approach, let’s first give full weight to the historical data. This is accomplished by setting <code>alpha_max=1</code> and <code>fix_alpha=TRUE</code> as follows:</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">set.seed</span>(<span class="dv">42</span>)
fit1 &lt;-<span class="st"> </span><span class="kw">bdpnormal</span>(<span class="dt">mu_t      =</span> <span class="dv">45</span>,
                  <span class="dt">sigma_t   =</span> <span class="dv">10</span>,
                  <span class="dt">N_t       =</span> <span class="dv">50</span>, 
                  <span class="dt">mu0_t     =</span> <span class="dv">50</span>,
                  <span class="dt">sigma0_t  =</span> <span class="dv">10</span>,
                  <span class="dt">N0_t      =</span> <span class="dv">50</span>,
                  <span class="dt">alpha_max =</span> <span class="dv">1</span>,
                  <span class="dt">fix_alpha =</span> <span class="ot">TRUE</span>,
                  <span class="dt">method    =</span> <span class="st">&quot;fixed&quot;</span>)
<span class="kw">summary</span>(fit1)</code></pre></div>
<pre><code>## 
##     One-armed bdp normal
## 
## data:
##   Current treatment: mu_t = 45, sigma_t = 10, N_t = 50
##   Historical treatment: mu0_t = 50, sigma0_t = 10, N0_t = 50
## Stochastic comparison (p_hat) - treatment (current vs. historical data): 0.0134
## Discount function value (alpha) - treatment: 1
## 95 percent CI: 
##  45.4329  49.6303
## posterior sample estimate:
## mean of treatment group
##  47.5208</code></pre>
<p>Based on the <code>summary</code> output of <code>fit1</code>, we can see that the value of <code>alpha</code> was held fixed at 1. Note that the <code>print</code> and <code>summary</code> methods result in the same output. The resulting treatment group mean is approximately 47.5, which is the average of 45 and 50, as expected.</p>
<p>Now, let’s relax the constraint on fixing <code>alpha</code> at 1 and let the function estimate <code>alpha</code>. We’ll also take this opportunity to describe the output of the plot method.</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">set.seed</span>(<span class="dv">42</span>)
fit1a &lt;-<span class="st"> </span><span class="kw">bdpnormal</span>(<span class="dt">mu_t      =</span> <span class="dv">45</span>, <span class="dt">sigma_t  =</span> <span class="dv">10</span>, <span class="dt">N_t  =</span> <span class="dv">50</span>, 
                   <span class="dt">mu0_t     =</span> <span class="dv">50</span>, <span class="dt">sigma0_t =</span> <span class="dv">10</span>, <span class="dt">N0_t =</span> <span class="dv">50</span>,
                   <span class="dt">fix_alpha =</span> <span class="ot">FALSE</span>,
                   <span class="dt">method    =</span> <span class="st">&quot;fixed&quot;</span>)
<span class="kw">summary</span>(fit1a)</code></pre></div>
<pre><code>## 
##     One-armed bdp normal
## 
## data:
##   Current treatment: mu_t = 45, sigma_t = 10, N_t = 50
##   Historical treatment: mu0_t = 50, sigma0_t = 10, N0_t = 50
## Stochastic comparison (p_hat) - treatment (current vs. historical data): 0.0134
## Discount function value (alpha) - treatment: 0.0134
## 95 percent CI: 
##  42.2972  47.9262
## posterior sample estimate:
## mean of treatment group
##  45.0795</code></pre>
<p>When <code>alpha</code> is not constrained to one, it is estimated based on a comparison between the current and historical data. We see that the stochastic comparison, <code>p_hat</code>, between current historical and control is 0.0134. Here, <code>p_hat</code> is the posterior probability of the comparison between the current and historical data. With the present example, the low value of <code>p_hat</code> implies that the current and historical sample means are different. The result is that the weight given to the historical data is shrunk towards zero. Thus, the estimate of <code>alpha</code> from the discount function is 0.0134 and the augmented posterior estimate of the mean is approximately the mean of the current data.</p>
<p>Many of the the values presented in the <code>summary</code> method are accessible from the fit object. For instance, <code>alpha</code> is found in <code>fit1a$posterior_treatment$alpha_discount</code> and <code>p_hat</code> is located at <code>fit1a$posterior_treatment$p_hat</code>. The augmented mean and CI are computed at run-time. The results can be replicated as:</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">mean_augmented &lt;-<span class="st"> </span><span class="kw">round</span>(<span class="kw">median</span>(fit1a<span class="op">$</span>posterior_treatment<span class="op">$</span>posterior_mu),<span class="dv">4</span>)
mean_augmented</code></pre></div>
<pre><code>## [1] 45.0795</code></pre>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r">CI95_augmented &lt;-<span class="st"> </span><span class="kw">round</span>(<span class="kw">quantile</span>(fit1a<span class="op">$</span>posterior_treatment<span class="op">$</span>posterior_mu, <span class="dt">prob=</span><span class="kw">c</span>(<span class="fl">0.025</span>, <span class="fl">0.975</span>)),<span class="dv">4</span>)
CI95_augmented</code></pre></div>
<pre><code>##    2.5%   97.5% 
## 42.2972 47.9262</code></pre>
<p>Finally, we’ll explore the <code>plot</code> method.</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">plot</span>(fit1a, <span class="dt">type=</span><span class="st">&quot;posteriors&quot;</span>)</code></pre></div>
<p><img src="data:image/png;base64,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" width="60%" style="display: block; margin: auto;" /></p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">plot</span>(fit1a, <span class="dt">type=</span><span class="st">&quot;density&quot;</span>)</code></pre></div>
<p><img src="data:image/png;base64,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" width="60%" style="display: block; margin: auto;" /></p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">plot</span>(fit1a, <span class="dt">type=</span><span class="st">&quot;discount&quot;</span>)</code></pre></div>
<p><img src="data:image/png;base64,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" width="60%" style="display: block; margin: auto;" /></p>
<p>The top plot displays three density curves. The blue curve is the density of the historical mean, the green curve is the density of the current mean, and the red curve is the density of the current mean augmented by historical data. Since little weight was given to the historical data, the current and posterior means essentially overlap.</p>
<p>The middle plot simply re-displays the posterior mean.</p>
<p>The bottom plot displays the discount function (solid curve) as well as <code>alpha</code> (horizontal dashed line) and <code>p_hat</code> (vertical dashed line). In the present example, the discount function is the identity.</p>
</div>
<div id="two-arm-trial" class="section level2">
<h2>Two-arm trial</h2>
<p>On to two-arm trials. In this package, we define a two-arm trial as an analysis where a current and/or historical control arm is present. Suppose we have the same treatment data as in the one-arm example, but now we introduce control data: <code>mu_c = 40</code>, <code>sigma_c = 10</code>, <code>N_c = 50</code>, <code>mu0_c = 40</code>, <code>sigma0_c = 10</code>, and <code>N0_c = 50</code>.</p>
<p>Before proceeding, it is worth pointing out that the discount function is applied separately to the treatment and control data. Now, let’s carry out the two-arm analysis using default inputs:</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">set.seed</span>(<span class="dv">42</span>)
fit2 &lt;-<span class="st"> </span><span class="kw">bdpnormal</span>(<span class="dt">mu_t      =</span> <span class="dv">45</span>, <span class="dt">sigma_t  =</span> <span class="dv">10</span>, <span class="dt">N_t  =</span> <span class="dv">50</span>, 
                  <span class="dt">mu0_t     =</span> <span class="dv">50</span>, <span class="dt">sigma0_t =</span> <span class="dv">10</span>, <span class="dt">N0_t =</span> <span class="dv">50</span>,
                  <span class="dt">mu_c      =</span> <span class="dv">40</span>, <span class="dt">sigma_c  =</span> <span class="dv">10</span>, <span class="dt">N_c  =</span> <span class="dv">50</span>, 
                  <span class="dt">mu0_c     =</span> <span class="dv">40</span>, <span class="dt">sigma0_c =</span> <span class="dv">10</span>, <span class="dt">N0_c =</span> <span class="dv">50</span>,
                  <span class="dt">fix_alpha =</span> <span class="ot">FALSE</span>,
                  <span class="dt">method    =</span> <span class="st">&quot;fixed&quot;</span>)
<span class="kw">summary</span>(fit2)</code></pre></div>
<pre><code>## 
##     Two-armed bdp normal
## 
## data:
##   Current treatment: mu_t = 45, sigma_t = 10, N_t = 50
##   Current control: mu_c = 40, sigma_c = 10, N_c = 50
##   Historical treatment: mu0_t = 50, sigma0_t = 10, N0_t = 50
##   Historical control: mu0_c = 40, sigma0_c = 10, N0_c = 50
## Stochastic comparison (p_hat) - treatment (current vs. historical data): 0.0134
## Stochastic comparison (p_hat) - control (current vs. historical data): 0.9922
## Discount function value (alpha) - treatment: 0.0134
## Discount function value (alpha) - control: 0.9922
## alternative hypothesis: two.sided
## 95 percent CI: 
##  1.7412  8.5362
## posterior sample estimates:
## treatment group  control group
##           45.08          40.01</code></pre>
<p>The <code>summary</code> method of a two-arm analysis is slightly different than a one-arm analysis. First, we see <code>p_hat</code> and <code>alpha</code> reported for the control data. In the present analysis, the current and historical control data have sample means that are very close, thus the historical control data is given nearly full weight. Again, little weight is given to the historical treatment data.</p>
<p>The CI is computed at run time and is the interval estimate of the difference between the posterior means of the treatment and control groups. With a 95% CI of <code>(1.7412, 8.5362)</code>, we would conclude that the treatment and control arms are not significantly different since zero is outside of the CI.</p>
<p>The <code>plot</code> method of a two-arm analysis is slightly different than a one-arm analysis as well:</p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">plot</span>(fit2, <span class="dt">type=</span><span class="st">&quot;posteriors&quot;</span>)</code></pre></div>
<p><img src="data:image/png;base64,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" width="60%" style="display: block; margin: auto;" /></p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">plot</span>(fit2, <span class="dt">type=</span><span class="st">&quot;density&quot;</span>)</code></pre></div>
<p><img src="data:image/png;base64,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" width="60%" style="display: block; margin: auto;" /></p>
<div class="sourceCode"><pre class="sourceCode r"><code class="sourceCode r"><span class="kw">plot</span>(fit2, <span class="dt">type=</span><span class="st">&quot;discount&quot;</span>)</code></pre></div>
<p><img src="data:image/png;base64,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" width="60%" style="display: block; margin: auto;" /> Each of the three plots are analogous to the one-arm analysis, but each plot now presents additional data related to the control arm.</p>
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