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# Verification checks (P4)

check outcome
Clean re-run (deleted results/figure/table/exclusions, re-ran analysis.py): results.json byte-identical (cmp) PASS
Independent numpy re-implementation (OLS + manual HC3 sandwich): β, α, SE, RMSEs, R² match to <1e-9 PASS
r² = pearson_r² PASS (diff < 1e-12)
model_metric = baseline_metric·sqrt(1−R²) (OLS-with-intercept identity) PASS
model_metric (3.59) < baseline_metric (7.08) PASS
effect_se > 0; CI [4.85, 5.68] contains β = 5.27 PASS
Exclusion ledger: 2349 −396 −1736 −20 = 197 = n_analysed; n_excluded_missing = 20 = 217−197 PASS
table1 n_countries sums to 20+46+58+73 = 197 = n_analysed PASS
Analysis year rule: complete counts 199 (2015–2022), 197 (2023) ≥150 ⇒ 2023 latest PASS
All GDP > 0 before log (assert in script) PASS
SE robustness: HC0 0.207, HC1 0.208, HC2 0.209, HC3 0.211, classical 0.222 — conclusion unchanged PASS
Trim-5 largest residuals: β = 5.32 (vs 5.27) PASS (stable)
Figure visually inspected: scatter + fitted line, 197 points, labels correct PASS
Files · 76f9a44a3a85fb2bc2b0b370a4ae4eed9b95e579
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