Example 1‚Äôs array exchangeable, but not Example 2‚Äôs array. In other words, the array from Example 2 is not consistent with simultaneously being exchangeable and having independent columns. This demonstrates that treating features as independent when they are in fact not can lead to the appearance of sample non-exchangeability. Thus, sample exchangeability is <em>contingent on</em> accounting for feature dependencies.</p>
<p><strong>Scenario 2: We have information about feature dependencies.</str