{
  "family": "measurement_accuracy",
  "generator_id": "measurement-accuracy-mpmath-o3",
  "generator_version": "1.0.0",
  "seed": "20260925.measurement-accuracy-o3",
  "mpmath_dps": 80,
  "precision_bits": 265,
  "library": "mpmath 1.4.1",
  "notes": "Signed bias from a sample and a master value. Not Type A uncertainty and not a single-shot error.",
  "vectors": [
    {
      "id": "o3-low",
      "kind": "low",
      "inputs": {
        "values": [
          6,
          7,
          8
        ],
        "xm": 8
      },
      "bias_f64": -1.0,
      "abs_bias_f64": 1.0,
      "xbar_f64": 7.0,
      "s_f64": 1.0,
      "xm_f64": 8.0,
      "n": 3,
      "ddof": 1,
      "bias_decimal": "-1.000000000000000000000000000000000000000"
    },
    {
      "id": "o3-zero",
      "kind": "zero",
      "inputs": {
        "values": [
          7,
          8,
          9
        ],
        "xm": 8
      },
      "bias_f64": 0.0,
      "abs_bias_f64": 0.0,
      "xbar_f64": 8.0,
      "s_f64": 1.0,
      "xm_f64": 8.0,
      "n": 3,
      "ddof": 1,
      "bias_decimal": "0.0"
    },
    {
      "id": "o3-high",
      "kind": "high",
      "inputs": {
        "values": [
          8,
          9,
          10
        ],
        "xm": 8
      },
      "bias_f64": 1.0,
      "abs_bias_f64": 1.0,
      "xbar_f64": 9.0,
      "s_f64": 1.0,
      "xm_f64": 8.0,
      "n": 3,
      "ddof": 1,
      "bias_decimal": "1.000000000000000000000000000000000000000"
    },
    {
      "id": "o3-alias",
      "kind": "alias",
      "inputs": {
        "sample": "6,7,8",
        "X": 8
      },
      "bias_f64": -1.0,
      "abs_bias_f64": 1.0,
      "xbar_f64": 7.0,
      "s_f64": 1.0,
      "xm_f64": 8.0,
      "n": 3,
      "ddof": 1,
      "bias_decimal": "-1.000000000000000000000000000000000000000"
    },
    {
      "id": "o3-flat",
      "kind": "flat",
      "inputs": {
        "values": [
          8,
          8,
          8
        ],
        "xm": 8
      },
      "bias_f64": 0.0,
      "abs_bias_f64": 0.0,
      "xbar_f64": 8.0,
      "s_f64": 0.0,
      "xm_f64": 8.0,
      "n": 3,
      "ddof": 1,
      "bias_decimal": "0.0"
    },
    {
      "id": "o3-ddof0",
      "kind": "ddof0",
      "inputs": {
        "values": [
          6,
          7,
          8
        ],
        "xm": 8,
        "ddof": 0
      },
      "bias_f64": -1.0,
      "abs_bias_f64": 1.0,
      "xbar_f64": 7.0,
      "s_f64": 0.816496580927726,
      "xm_f64": 8.0,
      "n": 3,
      "ddof": 0,
      "bias_decimal": "-1.000000000000000000000000000000000000000"
    },
    {
      "id": "o3-awkward",
      "kind": "awkward",
      "inputs": {
        "values": [
          "0.9",
          "1.15",
          "1.4"
        ],
        "xm": "1.4"
      },
      "bias_f64": -0.25,
      "abs_bias_f64": 0.25,
      "xbar_f64": 1.15,
      "s_f64": 0.25,
      "xm_f64": 1.4,
      "n": 3,
      "ddof": 1,
      "bias_decimal": "-0.2500000000000000000000000000000000000000"
    },
    {
      "id": "o3-wide",
      "kind": "wide",
      "inputs": {
        "values": [
          2,
          6,
          10
        ],
        "xm": 4
      },
      "bias_f64": 2.0,
      "abs_bias_f64": 2.0,
      "xbar_f64": 6.0,
      "s_f64": 4.0,
      "xm_f64": 4.0,
      "n": 3,
      "ddof": 1,
      "bias_decimal": "2.000000000000000000000000000000000000000"
    }
  ]
}
