p">)</span>, <span class="st">"."</span>, sep <span class="op">=</span> <span class="st">""</span><span class="op">)</span>
<span class="co">#&gt; Variance of row sums for ex_3 is 5.83295.</span></code></pre></div>
<p>Recall that we want to exploit exchangeability to detect the existence of statistically meaningful populations. The examples above show that exchangeability alone is insufficient for detecting hidden subpopulations from a finite sample. However, observe that a key difference between Examples 2