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# Verification checks (P4)

check outcome
Clean re-run (deleted outputs, reran analysis.py): results.json byte-identical, table1.csv & figure1.png SHA-256 identical PASS
Independent numpy re-implementation of OLS slope and HC3 SE matches results to <1e-9 PASS
r_squared == pearson_r^2 PASS
model_metric^2 == (1−R²)·baseline_metric^2 PASS
effect_se > 0, baseline_metric > 0, model_metric > 0 PASS
effect_ci_low < effect_estimate < effect_ci_high; CI = β ± 1.96·SE PASS
conclusion consistent with CI (lower bound 4.85 > 0 → positive_effect) PASS
Exclusion ledger: 2349 − (396+1736+20) = 197 = n_analysed PASS
n_countries_in_analysis_year 217 = n_analysed 197 + n_excluded_missing 20 PASS
table1 n_countries sums to 197; mean LE increases monotonically with income group PASS
model_metric (3.59) < baseline_metric (7.08) PASS
Magnitude plausibility: slope ~5.3 years per log point, in the range commonly reported for Preston-curve cross-sections PASS (informal)
Information rule: analysis year 2023 is latest year with ≥150 complete countries (197) PASS
Note: a first reproducibility attempt compared against a /tmp copy that was overwritten by an unrelated process; redone with a workspace-local copy (out/state/repro/) resolved
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