{
  "family": "coverage_factor",
  "generator_id": "coverage-factor-mpmath-o3",
  "generator_version": "1.0.0",
  "seed": "20260916.coverage-factor-o3",
  "mpmath_dps": 80,
  "precision_bits": 265,
  "library": "mpmath 1.4.1",
  "notes": "Two-sided k only. Independent of Node Math and the IUT. U=k\u00b7u_c and one-sided k are not tabulated.",
  "vectors": [
    {
      "id": "o3-t8",
      "kind": "student-t",
      "inputs": {
        "nu": 8,
        "confidence": 0.95
      },
      "infinite": false,
      "k_source": "student_t",
      "k_f64": 2.3060041352041667,
      "k_decimal": "2.306004135204166683295120954601636980267",
      "confidence_f64": 0.95,
      "q_f64": 0.975,
      "nu_f64": 8.0
    },
    {
      "id": "o3-inf",
      "kind": "infinite",
      "inputs": {
        "nu": "inf",
        "confidence": 0.95
      },
      "infinite": true,
      "k_source": "normal",
      "k_f64": 1.9599639845400543,
      "k_decimal": "1.959963984540054235524594430520551527956",
      "confidence_f64": 0.95,
      "q_f64": 0.975
    },
    {
      "id": "o3-default",
      "kind": "default-p",
      "inputs": {
        "nu": 8
      },
      "infinite": false,
      "k_source": "student_t",
      "k_f64": 2.3060041352041667,
      "k_decimal": "2.306004135204166683295120954601636980267",
      "confidence_f64": 0.95,
      "q_f64": 0.975,
      "nu_f64": 8.0
    },
    {
      "id": "o3-nu1",
      "kind": "student-t",
      "inputs": {
        "nu": 1,
        "confidence": 0.95
      },
      "infinite": false,
      "k_source": "student_t",
      "k_f64": 12.706204736174705,
      "k_decimal": "12.70620473617470464602167997884208746767",
      "confidence_f64": 0.95,
      "q_f64": 0.975,
      "nu_f64": 1.0
    },
    {
      "id": "o3-nu30",
      "kind": "student-t",
      "inputs": {
        "nu": 30,
        "confidence": 0.95
      },
      "infinite": false,
      "k_source": "student_t",
      "k_f64": 2.042272456301238,
      "k_decimal": "2.042272456301238309958042232033889101690",
      "confidence_f64": 0.95,
      "q_f64": 0.975,
      "nu_f64": 30.0
    },
    {
      "id": "o3-p99",
      "kind": "other-p",
      "inputs": {
        "nu": 8,
        "confidence": 0.99
      },
      "infinite": false,
      "k_source": "student_t",
      "k_f64": 3.3553873313333953,
      "k_decimal": "3.355387331333395505165238377981457702151",
      "confidence_f64": 0.99,
      "q_f64": 0.995,
      "nu_f64": 8.0
    },
    {
      "id": "o3-alias",
      "kind": "alias",
      "inputs": {
        "nu_eff": 8,
        "confidence": 0.95
      },
      "infinite": false,
      "k_source": "student_t",
      "k_f64": 2.3060041352041667,
      "k_decimal": "2.306004135204166683295120954601636980267",
      "confidence_f64": 0.95,
      "q_f64": 0.975,
      "nu_f64": 8.0
    },
    {
      "id": "o3-nu2",
      "kind": "student-t",
      "inputs": {
        "nu": 2,
        "confidence": 0.95
      },
      "infinite": false,
      "k_source": "student_t",
      "k_f64": 4.302652729749464,
      "k_decimal": "4.302652729749463852320943892621175008188",
      "confidence_f64": 0.95,
      "q_f64": 0.975,
      "nu_f64": 2.0
    }
  ]
}