model with <span class="math inline">\(M =
100\)</span></p>
<pre><code> parameter   estimate    std err
 ---------   --------    -------
     alpha      1.359      0.218
      beta     -0.610      0.204
     sigma      1.537      0.142</code></pre>
<p>With the data set fixed, these estimates of standard error will display some Monte Carlo error. For example, here are the standard error estimates from five more runs holding the data the same, but allowing the subsampling to vary within Stan:</p>
<pre><code> 