{
  "task_id": "T2-simulation",
  "R": 2000,
  "B": 399,
  "n_cells": 9,
  "coverage": {
    "cr0_G5_icc0.0": 0.7805,
    "cr1_G5_icc0.0": 0.9115,
    "wcb_G5_icc0.0": 0.8575,
    "cr0_G5_icc0.2": 0.721,
    "cr1_G5_icc0.2": 0.8845,
    "wcb_G5_icc0.2": 0.8545,
    "cr0_G5_icc0.5": 0.717,
    "cr1_G5_icc0.5": 0.8755,
    "wcb_G5_icc0.5": 0.851,
    "cr0_G10_icc0.0": 0.8965,
    "cr1_G10_icc0.0": 0.9435,
    "wcb_G10_icc0.0": 0.9375,
    "cr0_G10_icc0.2": 0.857,
    "cr1_G10_icc0.2": 0.9155,
    "wcb_G10_icc0.2": 0.9325,
    "cr0_G10_icc0.5": 0.853,
    "cr1_G10_icc0.5": 0.9065,
    "wcb_G10_icc0.5": 0.935,
    "cr0_G30_icc0.0": 0.9275,
    "cr1_G30_icc0.0": 0.94,
    "wcb_G30_icc0.0": 0.9445,
    "cr0_G30_icc0.2": 0.921,
    "cr1_G30_icc0.2": 0.935,
    "wcb_G30_icc0.2": 0.947,
    "cr0_G30_icc0.5": 0.9165,
    "cr1_G30_icc0.5": 0.93,
    "wcb_G30_icc0.5": 0.944
  },
  "mc_se_coverage": {
    "cr0_G5_icc0.0": 0.009255262016820486,
    "cr1_G5_icc0.0": 0.006350895606133045,
    "wcb_G5_icc0.0": 0.007816449001944552,
    "cr0_G5_icc0.2": 0.010028933143659899,
    "cr1_G5_icc0.2": 0.007147018609182434,
    "wcb_G5_icc0.2": 0.007884470495854492,
    "cr0_G5_icc0.5": 0.010072512099769353,
    "cr1_G5_icc0.5": 0.007382403064043579,
    "wcb_G5_icc0.5": 0.007962380297373393,
    "cr0_G10_icc0.0": 0.006811304941052046,
    "cr1_G10_icc0.0": 0.005162739098579358,
    "wcb_G10_icc0.0": 0.005412658773652742,
    "cr0_G10_icc0.2": 0.007827866886962246,
    "cr1_G10_icc0.2": 0.006219314672855845,
    "wcb_G10_icc0.2": 0.005609979946488223,
    "cr0_G10_icc0.5": 0.007918049002121673,
    "cr1_G10_icc0.5": 0.006509905913298595,
    "wcb_G10_icc0.5": 0.005512485827646179,
    "cr0_G30_icc0.0": 0.005798437289477226,
    "cr1_G30_icc0.0": 0.005310367218940704,
    "wcb_G30_icc0.0": 0.005119558086397692,
    "cr0_G30_icc0.2": 0.006031542091372652,
    "cr1_G30_icc0.2": 0.005512485827646179,
    "wcb_G30_icc0.2": 0.005009540897128201,
    "cr0_G30_icc0.5": 0.006185780063985464,
    "cr1_G30_icc0.5": 0.005705260730238364,
    "wcb_G30_icc0.5": 0.005141206084179083
  },
  "rel_bias_var": {
    "cr0_G5_icc0.0": 0.6616434596045324,
    "cr1_G5_icc0.0": 0.8270543245056654,
    "cr0_G5_icc0.2": 0.5313958571125164,
    "cr1_G5_icc0.2": 0.6642448213906453,
    "cr0_G5_icc0.5": 0.48335023384407516,
    "cr1_G5_icc0.5": 0.6041877923050938,
    "cr0_G10_icc0.0": 0.8558047169939658,
    "cr1_G10_icc0.0": 0.9508941299932954,
    "cr0_G10_icc0.2": 0.7624366224508259,
    "cr1_G10_icc0.2": 0.8471518027231398,
    "cr0_G10_icc0.5": 0.7737432482368367,
    "cr1_G10_icc0.5": 0.859714720263152,
    "cr0_G30_icc0.0": 0.943796503270819,
    "cr1_G30_icc0.0": 0.9763412102801576,
    "cr0_G30_icc0.2": 0.9313668684580917,
    "cr1_G30_icc0.2": 0.9634829673704397,
    "cr0_G30_icc0.5": 0.9252598675851053,
    "cr1_G30_icc0.5": 0.9571653802604538
  },
  "mc_se_rel_bias_var": {
    "cr0_G5_icc0.0": 0.012963511182344976,
    "cr1_G5_icc0.0": 0.01620438897793122,
    "cr0_G5_icc0.2": 0.012975387163286884,
    "cr1_G5_icc0.2": 0.016219233954108608,
    "cr0_G5_icc0.5": 0.011854909267984598,
    "cr1_G5_icc0.5": 0.01481863658498075,
    "cr0_G10_icc0.0": 0.011793478824212352,
    "cr1_G10_icc0.0": 0.013103865360235948,
    "cr0_G10_icc0.2": 0.012887411160981703,
    "cr1_G10_icc0.2": 0.014319345734424112,
    "cr0_G10_icc0.5": 0.014100595197540216,
    "cr1_G10_icc0.5": 0.015667327997266903,
    "cr0_G30_icc0.0": 0.006765949452231232,
    "cr1_G30_icc0.0": 0.006999258054032309,
    "cr0_G30_icc0.2": 0.00853308139600021,
    "cr1_G30_icc0.2": 0.008827325582069187,
    "cr0_G30_icc0.5": 0.008700682520806436,
    "cr1_G30_icc0.5": 0.009000706056006657
  },
  "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",
    "wcb_G30_icc0.0",
    "wcb_G30_icc0.2",
    "wcb_G30_icc0.5"
  ],
  "best_procedure_small_G": "cr1",
  "mean_coverage_G5": {
    "cr0": 0.7395,
    "cr1": 0.8905,
    "wcb": 0.8543333333333334
  },
  "feasibility": "complete",
  "feasibility_reason": null,
  "data_issues": [
    {
      "issue": "G=5 cells: Rademacher weights give only 2^5=32 distinct weight vectors (16 distinct |t*| values), so the WCB critical value takes few distinct values and B=399 draws mostly repeat them",
      "handling": "procedure kept exactly as specified (no Webb weights / enumeration); reported as a limitation"
    },
    {
      "issue": "ICC=0.0 cells: cluster effect variance is zero (degenerate N(0,0))",
      "handling": "u_g drawn as sqrt(0)*N(0,1)=0 so the RNG stream structure is the same in every cell"
    }
  ],
  "n_input_rows": {
    "design.csv": 9
  },
  "n_analysed": 18000,
  "random_seed": 20261101,
  "baseline_iid_coverage": {
    "G5_icc0.0": 0.9405,
    "G5_icc0.2": 0.46,
    "G5_icc0.5": 0.2865,
    "G10_icc0.0": 0.957,
    "G10_icc0.2": 0.488,
    "G10_icc0.5": 0.3125,
    "G30_icc0.0": 0.9515,
    "G30_icc0.2": 0.485,
    "G30_icc0.5": 0.2985
  },
  "baseline_iid_mc_se": {
    "G5_icc0.0": 0.005289600646551685,
    "G5_icc0.2": 0.011144505372604026,
    "G5_icc0.5": 0.010109840503192916,
    "G10_icc0.0": 0.004536022486716751,
    "G10_icc0.2": 0.011177119485806708,
    "G10_icc0.5": 0.010364452469860624,
    "G30_icc0.0": 0.004803527349771207,
    "G30_icc0.2": 0.01117530760203047,
    "G30_icc0.5": 0.010232246820713425
  },
  "sensitivity_wcb_coverage_numpy_quantile": {
    "wcb_G5_icc0.0": 0.855,
    "wcb_G5_icc0.2": 0.854,
    "wcb_G5_icc0.5": 0.849,
    "wcb_G10_icc0.0": 0.936,
    "wcb_G10_icc0.2": 0.9295,
    "wcb_G10_icc0.5": 0.9325,
    "wcb_G30_icc0.0": 0.943,
    "wcb_G30_icc0.2": 0.946,
    "wcb_G30_icc0.5": 0.9425
  },
  "wcb_quantile_rule": "380th order statistic of B=399 |t*| values (ceil((B+1)*0.95))",
  "cell_diagnostics": {
    "C1": {
      "var_exact": 0.0078125,
      "mc_var_ybar": 0.008088486730047813,
      "n_zero_vstar": 0,
      "n_distinct_q": 2000
    },
    "C2": {
      "var_exact": 0.0734375,
      "mc_var_ybar": 0.07818095367838697,
      "n_zero_vstar": 0,
      "n_distinct_q": 2000
    },
    "C3": {
      "var_exact": 0.171875,
      "mc_var_ybar": 0.16265026991742373,
      "n_zero_vstar": 0,
      "n_distinct_q": 2000
    },
    "C4": {
      "var_exact": 0.003787878787878788,
      "mc_var_ybar": 0.0035362244420084166,
      "n_zero_vstar": 0,
      "n_distinct_q": 2000
    },
    "C5": {
      "var_exact": 0.035169880624426074,
      "mc_var_ybar": 0.03406304358390313,
      "n_zero_vstar": 0,
      "n_distinct_q": 2000
    },
    "C6": {
      "var_exact": 0.08224288337924701,
      "mc_var_ybar": 0.080563566169808,
      "n_zero_vstar": 0,
      "n_distinct_q": 2000
    },
    "C7": {
      "var_exact": 0.0011574074074074073,
      "mc_var_ybar": 0.0011557426105430798,
      "n_zero_vstar": 0,
      "n_distinct_q": 2000
    },
    "C8": {
      "var_exact": 0.011213991769547326,
      "mc_var_ybar": 0.010533848298136778,
      "n_zero_vstar": 0,
      "n_distinct_q": 2000
    },
    "C9": {
      "var_exact": 0.0262988683127572,
      "mc_var_ybar": 0.027362497147835698,
      "n_zero_vstar": 0,
      "n_distinct_q": 2000
    }
  }
}