{
  "analysis": "Artificial-data design sensitivity, not human or agent outcomes",
  "seed": 20261015,
  "replicatesPerScenario": 10000,
  "scenarios": [
    {
      "plannedParticipants": 80,
      "casesPerParticipant": 12,
      "withinPersonCaseCorrelation": 0.1,
      "effect_caseSD": 0.25,
      "personMeanVariance_caseSD2": 0.175,
      "power": 0.7453,
      "powerMonteCarloSE": 0.004356924488673175,
      "nullRejectionRate": 0.0459,
      "nullMonteCarloSE": 0.0020926822501278115
    },
    {
      "plannedParticipants": 80,
      "casesPerParticipant": 12,
      "withinPersonCaseCorrelation": 0.3,
      "effect_caseSD": 0.25,
      "personMeanVariance_caseSD2": 0.35833333333333334,
      "power": 0.4468,
      "powerMonteCarloSE": 0.004971617040762492,
      "nullRejectionRate": 0.0458,
      "nullMonteCarloSE": 0.00209051094232965
    },
    {
      "plannedParticipants": 80,
      "casesPerParticipant": 12,
      "withinPersonCaseCorrelation": 0.5,
      "effect_caseSD": 0.25,
      "personMeanVariance_caseSD2": 0.5416666666666666,
      "power": 0.3149,
      "powerMonteCarloSE": 0.004644760381332927,
      "nullRejectionRate": 0.0469,
      "nullMonteCarloSE": 0.002114246674349992
    },
    {
      "plannedParticipants": 160,
      "casesPerParticipant": 12,
      "withinPersonCaseCorrelation": 0.1,
      "effect_caseSD": 0.25,
      "personMeanVariance_caseSD2": 0.175,
      "power": 0.9655,
      "powerMonteCarloSE": 0.0018250958878919205,
      "nullRejectionRate": 0.0462,
      "nullMonteCarloSE": 0.002099179839842218
    },
    {
      "plannedParticipants": 160,
      "casesPerParticipant": 12,
      "withinPersonCaseCorrelation": 0.3,
      "effect_caseSD": 0.25,
      "personMeanVariance_caseSD2": 0.35833333333333334,
      "power": 0.7456,
      "powerMonteCarloSE": 0.004355234092445548,
      "nullRejectionRate": 0.0546,
      "nullMonteCarloSE": 0.0022719779928511634
    },
    {
      "plannedParticipants": 160,
      "casesPerParticipant": 12,
      "withinPersonCaseCorrelation": 0.5,
      "effect_caseSD": 0.25,
      "personMeanVariance_caseSD2": 0.5416666666666666,
      "power": 0.5701,
      "powerMonteCarloSE": 0.0049506160222744,
      "nullRejectionRate": 0.0509,
      "nullMonteCarloSE": 0.0021979351673786923
    },
    {
      "plannedParticipants": 240,
      "casesPerParticipant": 12,
      "withinPersonCaseCorrelation": 0.1,
      "effect_caseSD": 0.25,
      "personMeanVariance_caseSD2": 0.175,
      "power": 0.9947,
      "powerMonteCarloSE": 0.0007260791967822775,
      "nullRejectionRate": 0.0517,
      "nullMonteCarloSE": 0.002214206629924136
    },
    {
      "plannedParticipants": 240,
      "casesPerParticipant": 12,
      "withinPersonCaseCorrelation": 0.3,
      "effect_caseSD": 0.25,
      "personMeanVariance_caseSD2": 0.35833333333333334,
      "power": 0.8991,
      "powerMonteCarloSE": 0.0030119626491708026,
      "nullRejectionRate": 0.0504,
      "nullMonteCarloSE": 0.0021876891918186183
    },
    {
      "plannedParticipants": 240,
      "casesPerParticipant": 12,
      "withinPersonCaseCorrelation": 0.5,
      "effect_caseSD": 0.25,
      "personMeanVariance_caseSD2": 0.5416666666666666,
      "power": 0.7465,
      "powerMonteCarloSE": 0.004350146549255553,
      "nullRejectionRate": 0.0485,
      "nullMonteCarloSE": 0.0021482027371735658
    }
  ],
  "assumptions": [
    "Four equal strata; equal treatment/control counts within each.",
    "12 equally weighted cases share an equicorrelated Gaussian person effect; marginal case variance is one.",
    "No source/case-treatment random effects, missing responses, ceiling effects, cross-participant contamination or severity weighting.",
    "Target effect 0.25 marginal case standard deviations is assumed, not estimated from education evidence.",
    "Primary estimand is restricted to the frozen cases."
  ],
  "software": {
    "numpy": "2.3.5",
    "scipy": "1.17.0"
  },
  "actualHumanParticipants": 0
}