{
  "capability_id": "engineering.process.cpmk_performance",
  "tool_id": "cpmk-performance",
  "engine": "cpmk-performance",
  "calculation_version": "1.0.1",
  "generated_at": "2026-10-22T08:54:34.759Z",
  "engine_build": "2026-09-24",
  "test_count": 10,
  "passed": 10,
  "failed": 0,
  "tests_summary": {
    "golden": {
      "passed": 1,
      "total": 1
    },
    "boundary": {
      "passed": 6,
      "total": 6
    },
    "property": {
      "passed": 3,
      "total": 3
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  "engine_tested": true,
  "expert_reviewed": false,
  "internally_reviewed": false,
  "review_kind": null,
  "source_checked": true,
  "reviewed_by": null,
  "reviewer_role": null,
  "last_reviewed": null,
  "expert_review": {
    "status": "optional_not_performed",
    "reviewer": null,
    "scope": [
      "formula",
      "input semantics",
      "assumptions",
      "limitations",
      "sources",
      "tests"
    ],
    "note": "Domain expert review is optional under CVP (CVP-EXP-01). Absence does not block CVP Verified. See Review policy for supplemental domain assurance."
  },
  "internal_review": {
    "status": "not_applicable",
    "reviewer": null
  },
  "page": "https://www.calculatorx.com/calc/engineering/process-performance-ppmk",
  "api": "https://www.calculatorx.com/api/v1/calc/cpmk-performance",
  "schema_input": "https://www.calculatorx.com/schemas/engineering.process.cpmk_performance.input.json",
  "schema_output": "https://www.calculatorx.com/schemas/engineering.process.cpmk_performance.output.json",
  "assumptions": [
    "Overall Taguchi Ppmk = min(USL−x̄, x̄−LSL)/(3√(s²+(x̄−target)²)) from a sample. s is summarizeSample.",
    "Not design-stage Cpmk, not Ppk (no target), not Ppm (two-sided span), and not a 1.33 verdict."
  ],
  "limitations": [
    "Overall sample s — not design-stage Cpmk from a stated σ",
    "Not Ppk (Ppk has no target in the denominator)",
    "Not Ppm (that uses the two-sided span USL−LSL)",
    "This page does not issue a Ppmk≥1.33 verdict"
  ],
  "boundary_conditions": [
    "missing target → MISSING_REQUIRED_INPUT",
    "n=1 with ddof=1 → VALUE_OUT_OF_RANGE",
    "s=0 and x̄=target → VALUE_MUST_BE_POSITIVE",
    "USL ≤ LSL → INVALID_INPUT"
  ],
  "sources": [
    {
      "title": "Pearn, Kotz, and Johnson — Distributional and inferential properties of process capability indices",
      "section": "Cpmk one-sided Taguchi; overall analog uses sample s",
      "supports": "Ppmk is the overall-sample counterpart of Cpmk",
      "kind": "reference"
    },
    {
      "title": "ISO 22514-2 — Statistical methods in process management — Capability and performance",
      "section": "Capability vs performance; target-based indices",
      "supports": "This page is overall performance, not design-stage Cpmk",
      "kind": "standard"
    }
  ],
  "methods": [],
  "fingerprint": "sha256:06ad4314f175cea0a5c115e154709e7133eef518e4f5a44b891ce23d03eab603",
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      "golden": 1,
      "boundary": 6,
      "property": 3
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      "total": 6
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  "evidence_core_generated_at": "2026-09-24T13:23:24.810Z",
  "rendered_at": "2026-10-22T08:54:34.759Z",
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    "status": "verified",
    "scope": "workspace",
    "production_attestation_required": true,
    "calculation_version": "1.0.1",
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        {
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          "status": "pass"
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        {
          "id": "schema-rejects-incomplete-input",
          "status": "pass"
        },
        {
          "id": "rest-success-payload-validates-schema",
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    "report": "https://www.calculatorx.com/.well-known/calculatorx-release-integrity.json"
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  "tests": [],
  "disclosure": {
    "policy": "calculatorx-public-evidence-v1",
    "full_validation": "private",
    "representation": "summary"
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}