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# Verification checks (P4)

# check outcome
1 Clean re-run of out/analysis.py (results.json, table1.csv, figure1.png deleted first) reproduces byte-identical results.json and table1.csv PASS
2 Runtime ~2 s for full grid (limit 600 s) — PASS
3 table1.csv has 27 rows (9 per estimator); coverage/mc_se objects have 27 keys; rel_bias_var 18 keys; wcb rel_bias_var empty PASS
4 All MC SEs > 0; all coverages in [0,1] PASS
5 n_failure_cells == len(failure_cells); failure set recomputed from coverage < 0.90 matches PASS
6 n_analysed = 9 x 2000 = 18000; exclusion ledger 9 - 0 = 9 cells PASS
7 rel_bias(CR1)/rel_bias(CR0) = G/(G-1) exactly (1.25, 1.1111, 1.0345) PASS
8 CR1 mean half-width > CR0 in every cell PASS
9 Vectorised wild-bootstrap t* vs brute-force construction of y* (out/state/verify/check_wcb.py): max abs diff 1.1e-14 PASS
10 MC Var(ybar)/exact Var(ybar) per cell: 0.934–1.065 (sampling SE of ratio ≈ 0.032 for R=2000) — consistent with DGP, largest deviations ≈ 2 SE (C4 0.934, C2 1.065) PASS (noted)
11 MC rel_bias(CR0) vs exact analytic E[V_CR0]/Var(ybar) (check_bias.py): z
12 Baseline (naive iid CI) coverage ≈ 0.94–0.96 at ICC=0 and 0.29–0.49 at ICC>0, as expected; all cluster-robust procedures improve on it when ICC>0 PASS
13 WCB quantile-rule sensitivity (numpy linear quantile vs 380th order statistic): coverage changes ≤ 0.003; failure set unchanged PASS
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