{
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  "engine_build": "2026-09-16",
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      "sources",
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    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
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  "internal_review": {
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  "page": "https://www.calculatorx.com/calc/engineering/gauge-repeatability-reproducibility",
  "api": "https://www.calculatorx.com/api/v1/calc/gauge-rr",
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  "schema_output": "https://www.calculatorx.com/schemas/engineering.msa.gauge_rr.output.json",
  "assumptions": [
    "AIAG compose: GRR=√(EV²+AV²), TV=√(GRR²+PV²), %GRR=100·GRR/TV, ndc=1.41·PV/GRR",
    "Range-method EV = R̄/d2 (d2 defaults to 1.128 for n=2). Not a full ANOVA Gauge R&R.",
    "Provide ev or rbar, not both"
  ],
  "limitations": [
    "AIAG compose of stated EV, AV, PV — not a full ANOVA Gauge R&R",
    "Range-method EV uses d2 default 1.128 (n=2)",
    "GRR must be > 0 for ndc"
  ],
  "boundary_conditions": [
    "missing ev and rbar → MISSING_REQUIRED_INPUT",
    "both ev and rbar → INVALID_INPUT",
    "GRR=0 → VALUE_MUST_BE_POSITIVE (ndc)",
    "negative EV/AV/PV → VALUE_OUT_OF_RANGE"
  ],
  "sources": [
    {
      "title": "AIAG Measurement Systems Analysis (MSA)",
      "section": "Gauge R&R — %GRR and ndc",
      "supports": "GRR=√(EV²+AV²); %GRR=100·GRR/TV; ndc≈1.41·PV/GRR",
      "kind": "standard"
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    {
      "title": "NIST Engineering Statistics Handbook — Repeatability",
      "section": "2.4.5 Repeatability and reproducibility",
      "url": "https://www.itl.nist.gov/div898/handbook/mpc/section4/mpc4.htm",
      "supports": "Range-method equipment variation EV = R̄/d2; d2 for n=2",
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