{
 "task_id": "T2-simulation",
 "R": 2000,
 "B": 399,
 "n_cells": 9,
 "coverage": {
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  "cr1_G5_icc0.0": 0.919,
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  "cr1_G5_icc0.2": 0.8815,
  "wcb_G5_icc0.2": 0.847,
  "cr0_G5_icc0.5": 0.7205,
  "cr1_G5_icc0.5": 0.8795,
  "wcb_G5_icc0.5": 0.8565,
  "cr0_G10_icc0.0": 0.8835,
  "cr1_G10_icc0.0": 0.9395,
  "wcb_G10_icc0.0": 0.926,
  "cr0_G10_icc0.2": 0.859,
  "cr1_G10_icc0.2": 0.9165,
  "wcb_G10_icc0.2": 0.939,
  "cr0_G10_icc0.5": 0.853,
  "cr1_G10_icc0.5": 0.917,
  "wcb_G10_icc0.5": 0.9365,
  "cr0_G30_icc0.0": 0.9305,
  "cr1_G30_icc0.0": 0.944,
  "wcb_G30_icc0.0": 0.946,
  "cr0_G30_icc0.2": 0.924,
  "cr1_G30_icc0.2": 0.94,
  "wcb_G30_icc0.2": 0.9515,
  "cr0_G30_icc0.5": 0.916,
  "cr1_G30_icc0.5": 0.929,
  "wcb_G30_icc0.5": 0.9415
 },
 "mc_se_coverage": {
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  "wcb_G5_icc0.0": 0.00754450130890041,
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  "wcb_G5_icc0.2": 0.008049565205649308,
  "cr0_G5_icc0.5": 0.010034434463386564,
  "cr1_G5_icc0.5": 0.007279414468211026,
  "wcb_G5_icc0.5": 0.007839252196478946,
  "cr0_G10_icc0.0": 0.007173832657652395,
  "cr1_G10_icc0.0": 0.005331029450303197,
  "wcb_G10_icc0.0": 0.005853375094763702,
  "cr0_G10_icc0.2": 0.007781998457979801,
  "cr1_G10_icc0.2": 0.006185780063985464,
  "wcb_G10_icc0.2": 0.005351588549206677,
  "cr0_G10_icc0.5": 0.007918049002121673,
  "cr1_G10_icc0.5": 0.006168914004912047,
  "wcb_G10_icc0.5": 0.005452877680637995,
  "cr0_G30_icc0.0": 0.005686376262612245,
  "cr1_G30_icc0.0": 0.005141206084179083,
  "wcb_G30_icc0.0": 0.005053909377897473,
  "cr0_G30_icc0.2": 0.005925537950262405,
  "cr1_G30_icc0.2": 0.005310367218940704,
  "wcb_G30_icc0.2": 0.004803527349771207,
  "cr0_G30_icc0.5": 0.006202580108309766,
  "cr1_G30_icc0.5": 0.005742778073371805,
  "wcb_G30_icc0.5": 0.0052477495176503994
 },
 "rel_bias_var": {
  "cr0_G5_icc0.0": 0.6531045734688924,
  "cr1_G5_icc0.0": 0.8163807168361153,
  "cr0_G5_icc0.2": 0.5073384003531096,
  "cr1_G5_icc0.2": 0.6341730004413871,
  "cr0_G5_icc0.5": 0.5054037231287982,
  "cr1_G5_icc0.5": 0.6317546539109978,
  "cr0_G10_icc0.0": 0.8457923977794889,
  "cr1_G10_icc0.0": 0.9397693308660986,
  "cr0_G10_icc0.2": 0.759525202160988,
  "cr1_G10_icc0.2": 0.8439168912899868,
  "cr0_G10_icc0.5": 0.7668304455993856,
  "cr1_G10_icc0.5": 0.8520338284437619,
  "cr0_G30_icc0.0": 0.9349718907569042,
  "cr1_G30_icc0.0": 0.9672123007830045,
  "cr0_G30_icc0.2": 0.9185077380114064,
  "cr1_G30_icc0.2": 0.9501804186324894,
  "cr0_G30_icc0.5": 0.9153772013849211,
  "cr1_G30_icc0.5": 0.9469419324671599
 },
 "failure_cells": [
  "cr0_G10_icc0.0",
  "cr0_G10_icc0.2",
  "cr0_G10_icc0.5",
  "cr0_G5_icc0.0",
  "cr0_G5_icc0.2",
  "cr0_G5_icc0.5",
  "cr1_G5_icc0.2",
  "cr1_G5_icc0.5",
  "wcb_G5_icc0.0",
  "wcb_G5_icc0.2",
  "wcb_G5_icc0.5"
 ],
 "n_failure_cells": 11,
 "nominal_cells": [
  "cr1_G10_icc0.0",
  "cr1_G30_icc0.0",
  "cr1_G30_icc0.2",
  "wcb_G30_icc0.0",
  "wcb_G30_icc0.2",
  "wcb_G30_icc0.5"
 ],
 "best_procedure_small_G": "cr1",
 "feasibility": "complete",
 "feasibility_reason": null,
 "data_issues": [
  {
   "issue": "ICC=0 cells: cluster effect u_g has variance 0 (degenerate normal).",
   "handling": "Drawn with numpy normal(scale=0), which returns exact zeros; DGP is then i.i.d. as intended."
  },
  {
   "issue": "G=5 with Rademacher weights: only 2^5=32 distinct weight vectors (16 distinct |t*| values), so B=399 draws resample a tiny discrete set and the WCB critical value is coarse.",
   "handling": "Kept as specified (task forbids changing B or weights); documented as a limitation."
  }
 ],
 "n_input_rows": {
  "design.csv": 9
 },
 "n_analysed": 18000,
 "random_seed": 20261101,
 "rel_bias_var_mc_se": {
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  "cr0_G5_icc0.2": 0.012551876505571668,
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  "cr1_G5_icc0.5": 0.015747316980386252,
  "cr0_G10_icc0.0": 0.011335014984467255,
  "cr1_G10_icc0.0": 0.012594461093852507,
  "cr0_G10_icc0.2": 0.01321820179399827,
  "cr1_G10_icc0.2": 0.014686890882220303,
  "cr0_G10_icc0.5": 0.014357919526351126,
  "cr1_G10_icc0.5": 0.01595324391816792,
  "cr0_G30_icc0.0": 0.006800079998922955,
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  "cr0_G30_icc0.2": 0.0085123734620183,
  "cr1_G30_icc0.2": 0.00880590358139824,
  "cr0_G30_icc0.5": 0.008257578831409366,
  "cr1_G30_icc0.5": 0.008542322929044171
 },
 "baseline_naive_iid_coverage": {
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  "naive_G5_icc0.2": 0.465,
  "naive_G5_icc0.5": 0.296,
  "naive_G10_icc0.0": 0.95,
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  "naive_G30_icc0.0": 0.9555,
  "naive_G30_icc0.2": 0.482,
  "naive_G30_icc0.5": 0.298
 },
 "baseline_naive_iid_mc_se": {
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  "naive_G5_icc0.2": 0.011152914417317117,
  "naive_G5_icc0.5": 0.01020744826095141,
  "naive_G10_icc0.0": 0.004873397172404485,
  "naive_G10_icc0.2": 0.011158130443761625,
  "naive_G10_icc0.5": 0.010386890776358439,
  "naive_G30_icc0.0": 0.004610843198374891,
  "naive_G30_icc0.2": 0.011173092678394824,
  "naive_G30_icc0.5": 0.010227316363543272
 },
 "avg_coverage_small_G": {
  "cr0": 0.7456666666666667,
  "cr1": 0.8933333333333332,
  "wcb": 0.8574999999999999
 },
 "wcb_quantile_rule": "order statistic ceil(0.95*B) of sorted |t*| (380th of 399)",
 "diagnostics": {
  "C1": {
   "var_exact": 0.0078125,
   "emp_var_ybar": 0.0076903163865376,
   "min_vstar": 2.7300148344707664e-06,
   "exact_rel_bias_cr0": 0.6640625,
   "exact_rel_bias_cr1": 0.830078125,
   "mean_q_wcb": 3.0399316099586846,
   "tcrit": 2.7764451051977987,
   "n_distinct_q": 2000
  },
  "C2": {
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   "emp_var_ybar": 0.07539240016119497,
   "min_vstar": 5.777054872126765e-05,
   "exact_rel_bias_cr0": 0.49950132978723405,
   "exact_rel_bias_cr1": 0.6243766622340425,
   "mean_q_wcb": 3.9516474189872164,
   "tcrit": 2.7764451051977987,
   "n_distinct_q": 2000
  },
  "C3": {
   "var_exact": 0.171875,
   "emp_var_ybar": 0.1697750281577108,
   "min_vstar": 3.604270427497175e-05,
   "exact_rel_bias_cr0": 0.48828125,
   "exact_rel_bias_cr1": 0.6103515625,
   "mean_q_wcb": 4.150040325969464,
   "tcrit": 2.7764451051977987,
   "n_distinct_q": 2000
  },
  "C4": {
   "var_exact": 0.003787878787878788,
   "emp_var_ybar": 0.003863590621397213,
   "min_vstar": 3.536526970914102e-05,
   "exact_rel_bias_cr0": 0.8393021120293849,
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   "tcrit": 2.262157162854099,
   "n_distinct_q": 2000
  },
  "C5": {
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   "emp_var_ybar": 0.034675290918919584,
   "min_vstar": 0.0004126988999641456,
   "exact_rel_bias_cr0": 0.7598750380616036,
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   "mean_q_wcb": 2.8215888586167748,
   "tcrit": 2.262157162854099,
   "n_distinct_q": 2000
  },
  "C6": {
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   "emp_var_ybar": 0.08168608496708261,
   "min_vstar": 0.0008107625708261817,
   "exact_rel_bias_cr0": 0.7543877524211217,
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   "n_distinct_q": 2000
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  "C7": {
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   "min_vstar": 0.00021063106193209053,
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   "n_distinct_q": 2000
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  "C9": {
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   "min_vstar": 0.0032200236567275302,
   "exact_rel_bias_cr0": 0.925297071045509,
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   "n_distinct_q": 2000
  }
 }
}