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# Verification checks (P4)

check outcome
Clean re-run (deleted results.json, figure, exclusions.csv) regenerates byte-identical results.json PASS
Input checksums match README/bundle PASS
n_analysed = 240, first 1960Q1, last 2019Q4 (asserted in script) PASS
Exclusion ledger: 319 − 78 − 1 = 240 = n_analysed PASS
Every quarter in window has 3 monthly UNRATE values (asserted) PASS
se_iid = 0.01996 > 0, se_hac = 0.03583 > 0 PASS
CI [−0.3260, −0.1855] contains beta_hat −0.2558; half-width / se_hac = 1.95996 (z) PASS
OLS identity mean_du = alpha + beta·mean_growth (error 3e-17) PASS
Manual Bartlett HAC computation equals statsmodels to 1e-10 (asserted) PASS
Magnitude: mean_growth 0.754 %/q ≈ 3.0 % annualised — plausible for 1960–2019; beta ≈ −0.26 per % q/q in typical Okun range PASS
HAC vs baseline: se_hac/se_iid ≈ 1.80, consistent with positive residual autocorrelation (lag-1 0.39) PASS (expected direction)
okun_negative_5pct consistent: beta<0 and t_hac
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