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Sparse departures from independence in two-way tables: a heteroscedasticity profile and detection boundary, an adaptive higher-criticism gate, and an assumption-lean exact anchor
Two-way contingency tables are tested for independence throughout applied statistics (genomics, network and text co-occurrence, pharmacovigilance, ecology, survey cross-tabulation), and the routine test reads asymptotic Gaussian tail probabilities off the table cell by cell. On the tables people act
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