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# Verification checks (P4)

  • Clean re-run (deleted outputs, ran twice): results.json byte-identical -> PASS
  • numpy lstsq reproduces effect_estimate -> PASS
  • numpy lstsq reproduces skill coef -> PASS
  • model_metric = sqrt(mean e^2) -> PASS
  • CIs contain estimates -> PASS
  • CI = est +/- 1.96 se -> PASS
  • SE positive; RMSEs positive -> PASS
  • model_metric <= baseline_metric (nested OLS same sample) -> PASS
  • 1200 - removed = n_analysed -> PASS
  • conclusion consistent with CI -> PASS
  • table1 main row == results -> PASS
  • omitted variable bias sign: skill coef<0 and corr(skill,hours)>0 imply naive<adjusted -> PASS
  • OVB identity naive = b1 + b2*delta -> PASS
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