Correct Firm A framing: replication-dominated, not pure
Interview evidence from multiple Firm A accountants confirms that MOST use replication (stamping / firm-level e-signing) but a MINORITY may still hand-sign. Firm A is therefore a "replication-dominated" population, not a "pure" one. This framing is consistent with: - 92.5% of Firm A signatures exceed cosine 0.95 (majority replication) - The long left tail (~7%) captures the minority hand-signers, not scan noise or preprocessing artifacts - Hartigan dip test: Firm A cosine unimodal long-tail (p=0.17) - Accountant-level GMM: of 180 Firm A accountants, 139 cluster in C1 (high-replication) and 32 in C2 (middle band = minority hand-signers) Updates docstrings and report text in Scripts 15, 16, 18, 19 to match. Partner v3's "near-universal non-hand-signing" language corrected. Script 19 regenerated with the updated text. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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@@ -10,6 +10,17 @@ Purpose:
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Prior finding (2026-04-16): signature-level distribution is unimodal long-tail;
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the story is that bimodality only emerges at the accountant level.
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Firm A framing (2026-04-20, corrected):
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Interviews with multiple Firm A accountants confirm that MOST use
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replication (stamping / firm-level e-signing) but do NOT exclude a
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minority of hand-signers. Firm A is therefore a "replication-dominated"
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population, NOT a "pure" one. This framing is consistent with:
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- 92.5% of Firm A signatures exceed cosine 0.95
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- The long left tail (7.5% below 0.95) captures the minority
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hand-signers, not scan noise
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- Script 18: of 180 Firm A accountants, 139 cluster in C1
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(high-replication) and 32 in C2 (middle band = minority hand-signers)
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Tests:
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1. Firm A (Deloitte) cosine max-similarity -> expected UNIMODAL
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2. Firm A (Deloitte) independent min dHash -> expected UNIMODAL
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