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# Verification checks (P4)

check outcome
Clean re-run (results.json, exclusions.csv deleted) regenerates byte-identical results.json PASS
CI [tau_ci_low, tau_ci_high] contains tau_hat PASS
se_iid > 0, se_cluster > 0 PASS
tau_hat equals mean_score_treated − mean_score_control PASS
effect_significant_5pct consistent with p_value<0.05 and CI excluding 0 PASS (all false)
n_input_rows 1000 − 0 removed = n_analysed 1000 (exclusions.csv sums) PASS
icc_hat in [0,1] PASS (0.240)
(se_cluster/se_iid)^2 = 6.68 vs design effect 1+(25−1)·icc = 6.77 (within 10%) PASS
se_cluster (CR1) vs Welch SE on 40 school means 0.738 (within 5%); Welch p=0.201 vs cluster p=0.195 PASS
treated constant within school; 20/20 schools; balanced 25 per school PASS (audit)
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