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# Verification checks (P4)

check outcome
Clean re-run (deleted results.json, exclusions.csv; reran analysis.py) gives byte-identical results.json PASS
beta_ci_low < beta_hat < beta_ci_high PASS
se_ols > 0, se_cluster > 0 PASS
n_input_rows − Σ n_removed (exclusions.csv) = n_analysed (2000 − 0 = 2000) PASS
n_clusters × 40 obs/firm = n_analysed (balanced panel) PASS
CI symmetric about beta_hat (t-based) PASS
Independent cross-check vs statsmodels OLS (params, nonrobust SE, cluster SE) — agree to ~1e-16 PASS
Magnitude vs baseline: se_cluster / se_ols ≈ 3.03; plausible given ~53% of residual variance and ~45% of x variance are between-firm (both components clustered → Moulton inflation) PASS (plausible)
data/panel.csv SHA-256 unchanged after runs PASS
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