{
  "kind": "analytical-example-checks",
  "version": "1.0",
  "passed": true,
  "checks": [
    "identical observed action-receipt-outcome distributions",
    "Model I intervention effect equals one",
    "Model II intervention effect equals zero",
    "Brier grid minimum at truth q=0.0",
    "Brier grid minimum at truth q=0.05",
    "Brier grid minimum at truth q=0.1",
    "Brier grid minimum at truth q=0.15",
    "Brier grid minimum at truth q=0.2",
    "Brier grid minimum at truth q=0.25",
    "Brier grid minimum at truth q=0.3",
    "Brier grid minimum at truth q=0.35",
    "Brier grid minimum at truth q=0.4",
    "Brier grid minimum at truth q=0.45",
    "Brier grid minimum at truth q=0.5",
    "Brier grid minimum at truth q=0.55",
    "Brier grid minimum at truth q=0.6",
    "Brier grid minimum at truth q=0.65",
    "Brier grid minimum at truth q=0.7",
    "Brier grid minimum at truth q=0.75",
    "Brier grid minimum at truth q=0.8",
    "Brier grid minimum at truth q=0.85",
    "Brier grid minimum at truth q=0.9",
    "Brier grid minimum at truth q=0.95",
    "Brier grid minimum at truth q=1.0",
    "Brier identity floating-point error below 1e-14",
    "shared clock offset changes illustrative treatment contrast",
    "repair inequality agrees with direct expected-loss comparison",
    "repair inequality agrees with direct expected-loss comparison",
    "equal losses allow indifferent policies",
    "repair inequality agrees with direct expected-loss comparison",
    "archive may change while action remains independent of history"
  ],
  "check_count": 31,
  "brier_max_absolute_error": 2.220446049250313e-16,
  "observational_distribution": [
    {
      "A": 0,
      "R": 1,
      "Y": 0,
      "probability": 0.5
    },
    {
      "A": 1,
      "R": 1,
      "Y": 1,
      "probability": 0.5
    }
  ],
  "intervention_effects": {
    "model_i": 1.0,
    "model_ii": 0.0
  },
  "scope": "Finite mechanical checks of illustrative mathematics; no empirical agent experiment or consciousness result."
}