{
  "version": "3.0",
  "data_kind": "simulation_only",
  "seed": 20261015,
  "replicates": 10000,
  "assumptions": [
    "Four schools per block; two assigned to each arm.",
    "Independent Gaussian school mean changes; individual change-score SD=1.",
    "Constant additive effect, equal cluster sizes, complete outcomes, no interference.",
    "Neyman within-block variance; two-sided t critical value with blocks-1 df."
  ],
  "not_estimated": [
    "Movement Thinking treatment effects",
    "actual ICCs",
    "actual school or student outcomes"
  ],
  "scenarios": [
    {
      "schools": 48,
      "district_blocks": 12,
      "students_per_school": 40,
      "planned_students": 1920,
      "icc_of_change_score": 0.05,
      "design_effect": 2.95,
      "normal_approximate_mde_sd_change": 0.2196312971793572,
      "simulation": {
        "0.0": {
          "rejection_rate": 0.0397,
          "monte_carlo_se": 0.001952534506737333
        },
        "0.25": {
          "rejection_rate": 0.8369,
          "monte_carlo_se": 0.0036945688517065157
        }
      }
    },
    {
      "schools": 48,
      "district_blocks": 12,
      "students_per_school": 40,
      "planned_students": 1920,
      "icc_of_change_score": 0.1,
      "design_effect": 4.9,
      "normal_approximate_mde_sd_change": 0.2830617964711598,
      "simulation": {
        "0.0": {
          "rejection_rate": 0.0369,
          "monte_carlo_se": 0.0018851628576863062
        },
        "0.25": {
          "rejection_rate": 0.6125,
          "monte_carlo_se": 0.004871793817476269
        }
      }
    },
    {
      "schools": 48,
      "district_blocks": 12,
      "students_per_school": 40,
      "planned_students": 1920,
      "icc_of_change_score": 0.15,
      "design_effect": 6.85,
      "normal_approximate_mde_sd_change": 0.33467903212223116,
      "simulation": {
        "0.0": {
          "rejection_rate": 0.038,
          "monte_carlo_se": 0.0019119623427254
        },
        "0.25": {
          "rejection_rate": 0.4671,
          "monte_carlo_se": 0.004989164158453798
        }
      }
    },
    {
      "schools": 80,
      "district_blocks": 20,
      "students_per_school": 40,
      "planned_students": 3200,
      "icc_of_change_score": 0.05,
      "design_effect": 2.95,
      "normal_approximate_mde_sd_change": 0.17012567125631647,
      "simulation": {
        "0.0": {
          "rejection_rate": 0.0427,
          "monte_carlo_se": 0.0020217989514291477
        },
        "0.25": {
          "rejection_rate": 0.9771,
          "monte_carlo_se": 0.0014958472515601328
        }
      }
    },
    {
      "schools": 80,
      "district_blocks": 20,
      "students_per_school": 40,
      "planned_students": 3200,
      "icc_of_change_score": 0.1,
      "design_effect": 4.9,
      "normal_approximate_mde_sd_change": 0.21925872473607103,
      "simulation": {
        "0.0": {
          "rejection_rate": 0.0427,
          "monte_carlo_se": 0.0020217989514291477
        },
        "0.25": {
          "rejection_rate": 0.8589,
          "monte_carlo_se": 0.003481246759423986
        }
      }
    },
    {
      "schools": 80,
      "district_blocks": 20,
      "students_per_school": 40,
      "planned_students": 3200,
      "icc_of_change_score": 0.15,
      "design_effect": 6.85,
      "normal_approximate_mde_sd_change": 0.2592412635468437,
      "simulation": {
        "0.0": {
          "rejection_rate": 0.0401,
          "monte_carlo_se": 0.0019619375627170197
        },
        "0.25": {
          "rejection_rate": 0.7256,
          "monte_carlo_se": 0.0044621142970569455
        }
      }
    },
    {
      "schools": 120,
      "district_blocks": 30,
      "students_per_school": 40,
      "planned_students": 4800,
      "icc_of_change_score": 0.05,
      "design_effect": 2.95,
      "normal_approximate_mde_sd_change": 0.13890702890881673,
      "simulation": {
        "0.0": {
          "rejection_rate": 0.0458,
          "monte_carlo_se": 0.00209051094232965
        },
        "0.25": {
          "rejection_rate": 0.9986,
          "monte_carlo_se": 0.0003739037309254826
        }
      }
    },
    {
      "schools": 120,
      "district_blocks": 30,
      "students_per_school": 40,
      "planned_students": 4800,
      "icc_of_change_score": 0.1,
      "design_effect": 4.9,
      "normal_approximate_mde_sd_change": 0.17902399908557545,
      "simulation": {
        "0.0": {
          "rejection_rate": 0.0433,
          "monte_carlo_se": 0.002035315945989713
        },
        "0.25": {
          "rejection_rate": 0.97,
          "monte_carlo_se": 0.0017058722109231988
        }
      }
    },
    {
      "schools": 120,
      "district_blocks": 30,
      "students_per_school": 40,
      "planned_students": 4800,
      "icc_of_change_score": 0.15,
      "design_effect": 6.85,
      "normal_approximate_mde_sd_change": 0.2116696053213814,
      "simulation": {
        "0.0": {
          "rejection_rate": 0.0479,
          "monte_carlo_se": 0.002135546534262365
        },
        "0.25": {
          "rejection_rate": 0.8897,
          "monte_carlo_se": 0.0031326332373899112
        }
      }
    }
  ]
}