1[2 {"id": "C1", "text": "The estimated programme effect is 0.96 points (treated minus control student-weighted mean score).", "results_keys": ["tau_hat"], "status": "supported", "caveat": "Point estimate only; imprecise at the school level."},3 {"id": "C2", "text": "At the 5% level (two-sided), with school-clustered uncertainty, the data do not support a non-zero programme effect (p = 0.195; 95% CI -0.51 to 2.44).", "results_keys": ["p_value", "tau_ci_low", "tau_ci_high", "effect_significant_5pct", "se_cluster"], "status": "supported", "caveat": "Not evidence of zero effect; the CI includes effects up to about 2.4 points."},4 {"id": "C3", "text": "The naive iid standard error understates uncertainty by a factor of about 2.6 and would wrongly indicate significance (p = 0.0007), because about 23% of residual variance is between schools.", "results_keys": ["se_iid", "se_cluster", "aux_se_ratio_cluster_over_iid", "aux_p_value_iid", "icc_hat", "aux_design_effect_moulton"], "status": "supported", "caveat": "ICC is itself estimated from 40 schools."}5]6