{
  "patterns_per_form": 15625,
  "theta_grid": [
    -3,
    3,
    0.05
  ],
  "target_integral": "Trapezoidal quadrature with generating N(0,1) weights conditional on theta in [0.5,2].",
  "score_grid": [
    -6,
    6,
    61
  ],
  "aggregates": {
    "item_total": {
      "normal": {
        "target_bias_squared": 0.03714772923286252,
        "target_variance": 0.14095135107059395,
        "target_rmse": 0.42201786727987756,
        "target_mean_bias": -0.17296593063789675
      },
      "flat_grid": {
        "target_bias_squared": 0.01333450507946022,
        "target_variance": 0.37181469073528967,
        "target_rmse": 0.6206038960679758,
        "target_mean_bias": 0.08394774309100878
      }
    },
    "content_matched": {
      "normal": {
        "target_bias_squared": 0.03683500132902299,
        "target_variance": 0.136971978349746,
        "target_rmse": 0.4169016426913779,
        "target_mean_bias": -0.17879482937536625
      },
      "flat_grid": {
        "target_bias_squared": 0.0028870239164675796,
        "target_variance": 0.27126449826850274,
        "target_rmse": 0.5235948072555437,
        "target_mean_bias": 0.02103605472803431
      }
    },
    "constrained": {
      "normal": {
        "target_bias_squared": 0.04534918754641454,
        "target_variance": 0.15015363366002174,
        "target_rmse": 0.4421570096769186,
        "target_mean_bias": -0.20815023211760908
      },
      "flat_grid": {
        "target_bias_squared": 0.005480174259900058,
        "target_variance": 0.24214052341534653,
        "target_rmse": 0.49761500949554166,
        "target_mean_bias": -0.0675581023767363
      }
    }
  },
  "notes": [
    "Exact summation over all five-category response patterns at each theta for the three fixed six-item forms.",
    "Response probabilities use known generating parameters; scoring uses frozen fitted parameters.",
    "Normal prior is the published EAP. Flat-grid posterior mean is a diagnostic prior perturbation on [-6,6], not ML scoring or an endorsed replacement.",
    "No bank recalibration, reselection, repeated seeds or parameter uncertainty.",
    "Binned heldout error variance also reflects variation within a theta bin; it is not conditional score variance at a fixed theta."
  ]
}