ce of subpopulations in a given sample, and there are types of statistical heterogeneities that still give rise to exchangeable data. Thus, users of our test should take care in interpreting results obtained from our test, or any other test of structured-ness of data (e.g., the <a href="https://rdrr.io/bioc/LEA/man/main_tracyWidom.html" class="external-link">Tracy-Widom test</a> of largest singular value).</p>
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<h2 id="a-working-definition-of-statistical-homogeneity">A ‚ÄúWor