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# Verification checks (P4)

check outcome
Re-run analysis.py twice, byte-compare results.json PASS (identical)
Memo reproduced from data: alpha 2.0925, beta 0.1017, se 0.0448, t 2.27, p 0.0238, n 400 PASS (alpha_hat, beta_hat, se_iid, t_iid, p_iid match to reported precision)
Manual Bartlett sandwich equals statsmodels HAC SE (rel tol 1e-8, assert in script) PASS
se_iid > 0, se_hac > 0 PASS (0.0448, 0.0651)
CI contains beta_hat; CI = beta ± 1.96 se_hac PASS ([-0.0260, 0.2294])
t_hac = beta_hat/se_hac; p_hac from N(0,1) PASS (1.562, 0.118)
memo_claim_supported == (p_hac<0.05) and CI covers 0 consistent PASS (false; CI covers 0)
Exclusion ledger: 400 - 0 = n_analysed 400 PASS
Magnitude vs baseline: se_hac/se_iid = 1.45; with rho_resid≈0.61 and x ac1≈0.66, Andrews-type inflation factor sqrt((1+ρxρu)/(1-ρxρu)) ≈ 1.53 — consistent PASS
Sensitivity: verdict unchanged for all L in {5,8,12,16,24} (min p 0.114) PASS
Files · 152a55b8fa2830f50fa35e5aed99c0037f713345
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