{
  "schema": "semiagora.gauge-rr-metrology-system-replay.v1",
  "version": "2026-08-23-v94",
  "generated_date": "2026-08-23",
  "experiment_id": "SA-MET-GRR-001",
  "title": "Gauge R&R and metrology-system decision replay",
  "execution_mode": "precomputed_browser_csv_replay_only",
  "summary": "An original synthetic measurement-system decision matrix that keeps study design, representative part spread, repeatability, operator/tool/interaction reproducibility, bias, linearity, stability, resolution, uncertainty review, discrimination, accountable role, and next evidence check visible without publishing a production acceptance rule.",
  "counts": {
    "rows": 4096,
    "study_designs": 4,
    "part_spread_states": 4,
    "repeatability_states": 4,
    "reproducibility_states": 4,
    "bias_stability_states": 4,
    "review_roles": 4,
    "decision_gates": 15,
    "source_review_files": 4,
    "source_anchors": 10,
    "real_measurement_rows": 0,
    "production_acceptance_thresholds": 0,
    "liveServerRuns": 0,
    "liveAnovaRuns": 0
  },
  "axes": {
    "study_designs": [
      {
        "id": "balanced_crossed_reference",
        "label": "Balanced crossed reference study",
        "note": "Every teaching part is available to every teaching operator and gauge configuration."
      },
      {
        "id": "nested_destructive_replacement",
        "label": "Nested destructive replacement study",
        "note": "Parts cannot be remeasured across all conditions; equivalence of replacement material must be established separately."
      },
      {
        "id": "crossed_sparse_unbalanced",
        "label": "Sparse unbalanced crossed study",
        "note": "Missing operator-part or gauge-part cells make the simple balanced replay unsuitable without repair."
      },
      {
        "id": "confounded_operator_tool_recipe",
        "label": "Confounded operator/tool/recipe study",
        "note": "Operator, tool configuration, and recipe class cannot be separated in the proposed study structure."
      }
    ],
    "part_spread_states": [
      {
        "id": "representative_full_span",
        "label": "Representative full-span parts"
      },
      {
        "id": "narrow_consecutive_sample",
        "label": "Narrow consecutive sample"
      },
      {
        "id": "mixed_family_confounded",
        "label": "Mixed part-family sample"
      },
      {
        "id": "reference_artifact_ladder",
        "label": "Reference-artifact ladder"
      }
    ],
    "repeatability_states": [
      {
        "id": "low_stable",
        "label": "Low stable repeatability load"
      },
      {
        "id": "moderate_stable",
        "label": "Moderate stable repeatability load"
      },
      {
        "id": "high_random",
        "label": "High random repeatability load"
      },
      {
        "id": "heteroscedastic_resolution_limited",
        "label": "Range-dependent and resolution-limited load"
      }
    ],
    "reproducibility_states": [
      {
        "id": "aligned_operators_tools",
        "label": "Aligned operators and tools"
      },
      {
        "id": "operator_offset",
        "label": "Operator offset"
      },
      {
        "id": "tool_configuration_shift",
        "label": "Tool/configuration shift"
      },
      {
        "id": "operator_part_interaction",
        "label": "Operator-by-part interaction"
      }
    ],
    "bias_stability_states": [
      {
        "id": "reference_aligned_stable",
        "label": "Reference-aligned and stable"
      },
      {
        "id": "fixed_bias_unresolved",
        "label": "Fixed bias unresolved"
      },
      {
        "id": "range_linearity_gap",
        "label": "Range linearity gap"
      },
      {
        "id": "temporal_drift_environment",
        "label": "Temporal drift/environment sensitivity"
      }
    ],
    "review_roles": [
      {
        "id": "measurement_system_owner",
        "label": "Measurement-system owner",
        "readout": "Keep study design, calibration/reference lineage, repeatability, reproducibility, resolution, bias, linearity, stability, and uncertainty evidence separate."
      },
      {
        "id": "process_control_owner",
        "label": "Process-control owner",
        "readout": "Confirm that the measurement system can distinguish the process changes under review before using a chart or control reaction."
      },
      {
        "id": "quality_evidence_reviewer",
        "label": "Quality-evidence reviewer",
        "readout": "Review the declared design, representative part range, variance-component evidence, reference checks, limitations, and accountable owner without issuing a disposition."
      },
      {
        "id": "model_data_owner",
        "label": "Model/data owner",
        "readout": "Treat Gauge R&R as one input to model-data fitness and keep drift, bias, range effects, data lineage, and the next physical check visible."
      }
    ]
  },
  "source_review_lineage": [
    {
      "path": "08_references/semiagora_simulation_atlas/DAILY_CONTENT_TRIAGE_2026-08-22_191627.md",
      "sha256": "EF092D57C8861E18EFC06A5DB801A5839314EF30C650960A71D5AC9C3B82ED4E"
    },
    {
      "path": "08_references/semiagora_simulation_atlas/daily_content_triage_2026-08-22_191627.json",
      "sha256": "97DFA853F2970DFB98A34D4BAC2A96382ADAB2AB1E24962B8252FD30800360C7"
    },
    {
      "path": "07_assets/factory_lab/daily/2026-08-22/20260822_191627/FACTORY_RUN.md",
      "sha256": "0728E23829728D3CD884C44CB71E17FB314E36BD50C2C7311D795C7973720F17"
    },
    {
      "path": "07_assets/factory_lab/daily/2026-08-22/20260822_191627/resource_scan/daily_resource_candidates.csv",
      "sha256": "44AF6757325927E45C05449BA9C558E393C13250501DCBDD737AA5901098A6A3"
    }
  ],
  "metric_contract": {
    "schema": "semiagora.gauge-rr-metric-contract.v1",
    "version": "2026-08-23-v94",
    "numeric_scope": "Every numeric field is generated by the deterministic v94 teaching model. No physical measurement, customer specification, tolerance, production threshold, software output, or external example value is transcribed.",
    "variance_component_method": "Direct root-sum-square teaching proxies over declared synthetic repeatability, operator, tool/configuration, operator-by-part interaction, and part-to-part components. No ANOVA, REML, mixed-effects fit, or commercial Gage R&R calculation is run.",
    "repeatability_sigma_proxy": "Synthetic within-condition load. It is not an estimated equipment-variation component from raw repeats.",
    "reproducibility_sigma_proxy": "Root-sum-square of synthetic operator, tool/configuration, and operator-by-part interaction loads. The components remain visible rather than being collapsed into an unexplained total.",
    "total_grr_sigma_proxy": "Root-sum-square of the synthetic repeatability and reproducibility proxies.",
    "total_study_sigma_proxy": "Root-sum-square of synthetic part-to-part and total Gauge R&R proxies.",
    "grr_pct_study_variation_proxy": "Synthetic total Gauge R&R divided by synthetic total study variation. It is a teaching burden indicator, not percent tolerance and not an acceptance rule.",
    "distinct_category_proxy": "floor(1.41 x part-to-part sigma proxy / total Gauge R&R sigma proxy), bounded below at one. It is a Minitab-style diagnostic proxy and never a universal pass/fail threshold.",
    "bias_linearity_stability_contract": "Fixed bias, range-linearity pressure, and stability/drift pressure are modeled and gated separately from repeatability and reproducibility.",
    "combined_uncertainty_review_proxy": "Root-sum-square review proxy combining Gauge R&R load with synthetic bias, resolution, linearity, and stability terms. It is not a formal GUM standard uncertainty, expanded uncertainty, calibration result, or traceability claim.",
    "readiness_contract": "Measurement-system readiness and review priority are bounded educational navigation scores. They cannot approve a gauge, process, lot, product, method, recipe, or quality disposition.",
    "zero_boundary_fields": [
      "real_measurement_rows_used",
      "external_numeric_values_used",
      "production_acceptance_thresholds_used",
      "customer_specifications_used",
      "owned_measurement_files_ingested",
      "quality_dispositions_issued",
      "lot_release_actions",
      "live_anova_runs"
    ]
  },
  "gate_counts": {
    "bounded_measurement_system_teaching_case": 12,
    "reference_bias_review": 16,
    "range_linearity_review": 16,
    "stability_drift_review": 16,
    "operator_reproducibility_review": 64,
    "tool_configuration_reproducibility_review": 64,
    "operator_part_interaction_review": 64,
    "repeatability_variation_review": 128,
    "repeatability_resolution_review": 128,
    "representative_part_range_required": 256,
    "part_family_confound_review": 256,
    "discrimination_review": 4,
    "nested_equivalence_evidence_required": 1024,
    "unbalanced_cells_repair_required": 1024,
    "confounded_design_rebuild_required": 1024
  },
  "evidence_state_counts": {
    "bounded_synthetic_teaching": 12,
    "bias_evidence_separate": 16,
    "linearity_evidence_separate": 16,
    "stability_evidence_separate": 16,
    "operator_effect_review": 64,
    "tool_configuration_effect_review": 64,
    "interaction_effect_review": 64,
    "repeatability_load_review": 128,
    "repeatability_resolution_gap": 128,
    "part_range_not_representative": 256,
    "part_family_confound_visible": 256,
    "discrimination_proxy_review": 4,
    "nested_design_evidence_required": 1024,
    "unbalanced_design_repair_required": 1024,
    "study_design_not_identifiable": 1024
  },
  "examples": [
    {
      "case_id": "GRR001-0001",
      "study_design": "balanced_crossed_reference",
      "study_design_label": "Balanced crossed reference study",
      "part_spread_state": "representative_full_span",
      "part_spread_label": "Representative full-span parts",
      "repeatability_state": "low_stable",
      "repeatability_label": "Low stable repeatability load",
      "reproducibility_state": "aligned_operators_tools",
      "reproducibility_label": "Aligned operators and tools",
      "bias_stability_state": "reference_aligned_stable",
      "bias_stability_label": "Reference-aligned and stable",
      "review_role": "measurement_system_owner",
      "review_role_label": "Measurement-system owner",
      "part_to_part_sigma_proxy": 3.8,
      "repeatability_sigma_proxy": 0.35,
      "operator_sigma_proxy": 0.3,
      "tool_configuration_sigma_proxy": 0.2,
      "operator_part_interaction_sigma_proxy": 0.15,
      "reproducibility_sigma_proxy": 0.391,
      "total_grr_sigma_proxy": 0.524,
      "total_study_sigma_proxy": 3.836,
      "grr_pct_study_variation_proxy": 13.67,
      "part_pct_study_variation_proxy": 99.06,
      "discrimination_ratio_proxy": 7.246,
      "distinct_category_proxy": 10,
      "fixed_bias_proxy": 0.1,
      "range_linearity_pressure": 5,
      "stability_drift_pressure": 6,
      "resolution_pressure": 6,
      "combined_uncertainty_review_proxy": 0.545,
      "design_balance_score": 94,
      "sampling_coverage_score": 94,
      "precision_fitness_score": 82.28,
      "reference_fitness_score": 91.52,
      "measurement_system_readiness_score": 78,
      "review_priority_score": 25,
      "study_design_note": "Every teaching part is available to every teaching operator and gauge configuration.",
      "role_readout": "Keep study design, calibration/reference lineage, repeatability, reproducibility, resolution, bias, linearity, stability, and uncertainty evidence separate.",
      "real_measurement_rows_used": 0,
      "external_numeric_values_used": 0,
      "production_acceptance_thresholds_used": 0,
      "customer_specifications_used": 0,
      "owned_measurement_files_ingested": 0,
      "quality_dispositions_issued": 0,
      "lot_release_actions": 0,
      "live_anova_runs": 0,
      "decision_gate": "bounded_measurement_system_teaching_case",
      "evidence_state": "bounded_synthetic_teaching",
      "next_safe_check": "Retain the row as a synthetic teaching case and replace every proxy with an owned study, raw observations, analysis, references, and owner review."
    },
    {
      "case_id": "GRR001-0572",
      "study_design": "balanced_crossed_reference",
      "study_design_label": "Balanced crossed reference study",
      "part_spread_state": "mixed_family_confounded",
      "part_spread_label": "Mixed part-family sample",
      "repeatability_state": "low_stable",
      "repeatability_label": "Low stable repeatability load",
      "reproducibility_state": "operator_part_interaction",
      "reproducibility_label": "Operator-by-part interaction",
      "bias_stability_state": "range_linearity_gap",
      "bias_stability_label": "Range linearity gap",
      "review_role": "model_data_owner",
      "review_role_label": "Model/data owner",
      "part_to_part_sigma_proxy": 3,
      "repeatability_sigma_proxy": 0.35,
      "operator_sigma_proxy": 0.35,
      "tool_configuration_sigma_proxy": 0.25,
      "operator_part_interaction_sigma_proxy": 1.2,
      "reproducibility_sigma_proxy": 1.275,
      "total_grr_sigma_proxy": 1.322,
      "total_study_sigma_proxy": 3.278,
      "grr_pct_study_variation_proxy": 40.32,
      "part_pct_study_variation_proxy": 91.51,
      "discrimination_ratio_proxy": 2.269,
      "distinct_category_proxy": 3,
      "fixed_bias_proxy": 0.3,
      "range_linearity_pressure": 82,
      "stability_drift_pressure": 14,
      "resolution_pressure": 6,
      "combined_uncertainty_review_proxy": 1.709,
      "design_balance_score": 94,
      "sampling_coverage_score": 54,
      "precision_fitness_score": 42.72,
      "reference_fitness_score": 29.52,
      "measurement_system_readiness_score": 27.2,
      "review_priority_score": 94.4,
      "study_design_note": "Every teaching part is available to every teaching operator and gauge configuration.",
      "role_readout": "Treat Gauge R&R as one input to model-data fitness and keep drift, bias, range effects, data lineage, and the next physical check visible.",
      "real_measurement_rows_used": 0,
      "external_numeric_values_used": 0,
      "production_acceptance_thresholds_used": 0,
      "customer_specifications_used": 0,
      "owned_measurement_files_ingested": 0,
      "quality_dispositions_issued": 0,
      "lot_release_actions": 0,
      "live_anova_runs": 0,
      "decision_gate": "part_family_confound_review",
      "evidence_state": "part_family_confound_visible",
      "next_safe_check": "Separate part-family effects from the intended part-to-part variation before attributing variance to the measurement system."
    },
    {
      "case_id": "GRR001-1143",
      "study_design": "nested_destructive_replacement",
      "study_design_label": "Nested destructive replacement study",
      "part_spread_state": "representative_full_span",
      "part_spread_label": "Representative full-span parts",
      "repeatability_state": "moderate_stable",
      "repeatability_label": "Moderate stable repeatability load",
      "reproducibility_state": "operator_part_interaction",
      "reproducibility_label": "Operator-by-part interaction",
      "bias_stability_state": "fixed_bias_unresolved",
      "bias_stability_label": "Fixed bias unresolved",
      "review_role": "quality_evidence_reviewer",
      "review_role_label": "Quality-evidence reviewer",
      "part_to_part_sigma_proxy": 3.8,
      "repeatability_sigma_proxy": 0.85,
      "operator_sigma_proxy": 0.35,
      "tool_configuration_sigma_proxy": 0.25,
      "operator_part_interaction_sigma_proxy": 1.2,
      "reproducibility_sigma_proxy": 1.275,
      "total_grr_sigma_proxy": 1.532,
      "total_study_sigma_proxy": 4.097,
      "grr_pct_study_variation_proxy": 37.39,
      "part_pct_study_variation_proxy": 92.75,
      "discrimination_ratio_proxy": 2.48,
      "distinct_category_proxy": 3,
      "fixed_bias_proxy": 1.1,
      "range_linearity_pressure": 12,
      "stability_drift_pressure": 10,
      "resolution_pressure": 16,
      "combined_uncertainty_review_proxy": 1.901,
      "design_balance_score": 72,
      "sampling_coverage_score": 94,
      "precision_fitness_score": 44.15,
      "reference_fitness_score": 34.72,
      "measurement_system_readiness_score": 28.36,
      "review_priority_score": 94.32,
      "study_design_note": "Parts cannot be remeasured across all conditions; equivalence of replacement material must be established separately.",
      "role_readout": "Review the declared design, representative part range, variance-component evidence, reference checks, limitations, and accountable owner without issuing a disposition.",
      "real_measurement_rows_used": 0,
      "external_numeric_values_used": 0,
      "production_acceptance_thresholds_used": 0,
      "customer_specifications_used": 0,
      "owned_measurement_files_ingested": 0,
      "quality_dispositions_issued": 0,
      "lot_release_actions": 0,
      "live_anova_runs": 0,
      "decision_gate": "nested_equivalence_evidence_required",
      "evidence_state": "nested_design_evidence_required",
      "next_safe_check": "Document destructive or nested sampling, replacement-material equivalence, nesting structure, and the analysis method before comparing conditions."
    },
    {
      "case_id": "GRR001-1714",
      "study_design": "nested_destructive_replacement",
      "study_design_label": "Nested destructive replacement study",
      "part_spread_state": "mixed_family_confounded",
      "part_spread_label": "Mixed part-family sample",
      "repeatability_state": "high_random",
      "repeatability_label": "High random repeatability load",
      "reproducibility_state": "operator_part_interaction",
      "reproducibility_label": "Operator-by-part interaction",
      "bias_stability_state": "reference_aligned_stable",
      "bias_stability_label": "Reference-aligned and stable",
      "review_role": "process_control_owner",
      "review_role_label": "Process-control owner",
      "part_to_part_sigma_proxy": 3,
      "repeatability_sigma_proxy": 1.8,
      "operator_sigma_proxy": 0.35,
      "tool_configuration_sigma_proxy": 0.25,
      "operator_part_interaction_sigma_proxy": 1.2,
      "reproducibility_sigma_proxy": 1.275,
      "total_grr_sigma_proxy": 2.206,
      "total_study_sigma_proxy": 3.724,
      "grr_pct_study_variation_proxy": 59.24,
      "part_pct_study_variation_proxy": 80.57,
      "discrimination_ratio_proxy": 1.36,
      "distinct_category_proxy": 1,
      "fixed_bias_proxy": 0.1,
      "range_linearity_pressure": 5,
      "stability_drift_pressure": 6,
      "resolution_pressure": 28,
      "combined_uncertainty_review_proxy": 2.221,
      "design_balance_score": 72,
      "sampling_coverage_score": 54,
      "precision_fitness_score": 17.96,
      "reference_fitness_score": 89.76,
      "measurement_system_readiness_score": 4,
      "review_priority_score": 100,
      "study_design_note": "Parts cannot be remeasured across all conditions; equivalence of replacement material must be established separately.",
      "role_readout": "Confirm that the measurement system can distinguish the process changes under review before using a chart or control reaction.",
      "real_measurement_rows_used": 0,
      "external_numeric_values_used": 0,
      "production_acceptance_thresholds_used": 0,
      "customer_specifications_used": 0,
      "owned_measurement_files_ingested": 0,
      "quality_dispositions_issued": 0,
      "lot_release_actions": 0,
      "live_anova_runs": 0,
      "decision_gate": "nested_equivalence_evidence_required",
      "evidence_state": "nested_design_evidence_required",
      "next_safe_check": "Document destructive or nested sampling, replacement-material equivalence, nesting structure, and the analysis method before comparing conditions."
    },
    {
      "case_id": "GRR001-2285",
      "study_design": "crossed_sparse_unbalanced",
      "study_design_label": "Sparse unbalanced crossed study",
      "part_spread_state": "representative_full_span",
      "part_spread_label": "Representative full-span parts",
      "repeatability_state": "heteroscedastic_resolution_limited",
      "repeatability_label": "Range-dependent and resolution-limited load",
      "reproducibility_state": "tool_configuration_shift",
      "reproducibility_label": "Tool/configuration shift",
      "bias_stability_state": "temporal_drift_environment",
      "bias_stability_label": "Temporal drift/environment sensitivity",
      "review_role": "measurement_system_owner",
      "review_role_label": "Measurement-system owner",
      "part_to_part_sigma_proxy": 3.8,
      "repeatability_sigma_proxy": 1.4,
      "operator_sigma_proxy": 0.25,
      "tool_configuration_sigma_proxy": 1.3,
      "operator_part_interaction_sigma_proxy": 0.3,
      "reproducibility_sigma_proxy": 1.357,
      "total_grr_sigma_proxy": 1.95,
      "total_study_sigma_proxy": 4.271,
      "grr_pct_study_variation_proxy": 45.66,
      "part_pct_study_variation_proxy": 88.97,
      "discrimination_ratio_proxy": 1.949,
      "distinct_category_proxy": 2,
      "fixed_bias_proxy": 0.25,
      "range_linearity_pressure": 18,
      "stability_drift_pressure": 86,
      "resolution_pressure": 84,
      "combined_uncertainty_review_proxy": 2.35,
      "design_balance_score": 48,
      "sampling_coverage_score": 94,
      "precision_fitness_score": 23.46,
      "reference_fitness_score": 17.28,
      "measurement_system_readiness_score": 4,
      "review_priority_score": 100,
      "study_design_note": "Missing operator-part or gauge-part cells make the simple balanced replay unsuitable without repair.",
      "role_readout": "Keep study design, calibration/reference lineage, repeatability, reproducibility, resolution, bias, linearity, stability, and uncertainty evidence separate.",
      "real_measurement_rows_used": 0,
      "external_numeric_values_used": 0,
      "production_acceptance_thresholds_used": 0,
      "customer_specifications_used": 0,
      "owned_measurement_files_ingested": 0,
      "quality_dispositions_issued": 0,
      "lot_release_actions": 0,
      "live_anova_runs": 0,
      "decision_gate": "unbalanced_cells_repair_required",
      "evidence_state": "unbalanced_design_repair_required",
      "next_safe_check": "Repair missing operator-part or gauge-part cells, preserve replicate identity, and use a method appropriate for the remaining imbalance."
    },
    {
      "case_id": "GRR001-2856",
      "study_design": "crossed_sparse_unbalanced",
      "study_design_label": "Sparse unbalanced crossed study",
      "part_spread_state": "reference_artifact_ladder",
      "part_spread_label": "Reference-artifact ladder",
      "repeatability_state": "low_stable",
      "repeatability_label": "Low stable repeatability load",
      "reproducibility_state": "tool_configuration_shift",
      "reproducibility_label": "Tool/configuration shift",
      "bias_stability_state": "fixed_bias_unresolved",
      "bias_stability_label": "Fixed bias unresolved",
      "review_role": "model_data_owner",
      "review_role_label": "Model/data owner",
      "part_to_part_sigma_proxy": 2.1,
      "repeatability_sigma_proxy": 0.35,
      "operator_sigma_proxy": 0.25,
      "tool_configuration_sigma_proxy": 1.3,
      "operator_part_interaction_sigma_proxy": 0.3,
      "reproducibility_sigma_proxy": 1.357,
      "total_grr_sigma_proxy": 1.402,
      "total_study_sigma_proxy": 2.525,
      "grr_pct_study_variation_proxy": 55.52,
      "part_pct_study_variation_proxy": 83.17,
      "discrimination_ratio_proxy": 1.498,
      "distinct_category_proxy": 2,
      "fixed_bias_proxy": 1.1,
      "range_linearity_pressure": 12,
      "stability_drift_pressure": 10,
      "resolution_pressure": 6,
      "combined_uncertainty_review_proxy": 1.793,
      "design_balance_score": 48,
      "sampling_coverage_score": 82,
      "precision_fitness_score": 26.65,
      "reference_fitness_score": 35.52,
      "measurement_system_readiness_score": 4,
      "review_priority_score": 100,
      "study_design_note": "Missing operator-part or gauge-part cells make the simple balanced replay unsuitable without repair.",
      "role_readout": "Treat Gauge R&R as one input to model-data fitness and keep drift, bias, range effects, data lineage, and the next physical check visible.",
      "real_measurement_rows_used": 0,
      "external_numeric_values_used": 0,
      "production_acceptance_thresholds_used": 0,
      "customer_specifications_used": 0,
      "owned_measurement_files_ingested": 0,
      "quality_dispositions_issued": 0,
      "lot_release_actions": 0,
      "live_anova_runs": 0,
      "decision_gate": "unbalanced_cells_repair_required",
      "evidence_state": "unbalanced_design_repair_required",
      "next_safe_check": "Repair missing operator-part or gauge-part cells, preserve replicate identity, and use a method appropriate for the remaining imbalance."
    },
    {
      "case_id": "GRR001-3427",
      "study_design": "confounded_operator_tool_recipe",
      "study_design_label": "Confounded operator/tool/recipe study",
      "part_spread_state": "narrow_consecutive_sample",
      "part_spread_label": "Narrow consecutive sample",
      "repeatability_state": "moderate_stable",
      "repeatability_label": "Moderate stable repeatability load",
      "reproducibility_state": "tool_configuration_shift",
      "reproducibility_label": "Tool/configuration shift",
      "bias_stability_state": "reference_aligned_stable",
      "bias_stability_label": "Reference-aligned and stable",
      "review_role": "quality_evidence_reviewer",
      "review_role_label": "Quality-evidence reviewer",
      "part_to_part_sigma_proxy": 1.2,
      "repeatability_sigma_proxy": 0.85,
      "operator_sigma_proxy": 0.25,
      "tool_configuration_sigma_proxy": 1.3,
      "operator_part_interaction_sigma_proxy": 0.3,
      "reproducibility_sigma_proxy": 1.357,
      "total_grr_sigma_proxy": 1.602,
      "total_study_sigma_proxy": 2.001,
      "grr_pct_study_variation_proxy": 80.03,
      "part_pct_study_variation_proxy": 59.96,
      "discrimination_ratio_proxy": 0.749,
      "distinct_category_proxy": 1,
      "fixed_bias_proxy": 0.1,
      "range_linearity_pressure": 5,
      "stability_drift_pressure": 6,
      "resolution_pressure": 16,
      "combined_uncertainty_review_proxy": 1.613,
      "design_balance_score": 34,
      "sampling_coverage_score": 38,
      "precision_fitness_score": 0,
      "reference_fitness_score": 90.72,
      "measurement_system_readiness_score": 4,
      "review_priority_score": 100,
      "study_design_note": "Operator, tool configuration, and recipe class cannot be separated in the proposed study structure.",
      "role_readout": "Review the declared design, representative part range, variance-component evidence, reference checks, limitations, and accountable owner without issuing a disposition.",
      "real_measurement_rows_used": 0,
      "external_numeric_values_used": 0,
      "production_acceptance_thresholds_used": 0,
      "customer_specifications_used": 0,
      "owned_measurement_files_ingested": 0,
      "quality_dispositions_issued": 0,
      "lot_release_actions": 0,
      "live_anova_runs": 0,
      "decision_gate": "confounded_design_rebuild_required",
      "evidence_state": "study_design_not_identifiable",
      "next_safe_check": "Redesign the study so operator, gauge/tool configuration, recipe class, part, and time effects can be separated before estimating variance components."
    },
    {
      "case_id": "GRR001-3998",
      "study_design": "confounded_operator_tool_recipe",
      "study_design_label": "Confounded operator/tool/recipe study",
      "part_spread_state": "reference_artifact_ladder",
      "part_spread_label": "Reference-artifact ladder",
      "repeatability_state": "high_random",
      "repeatability_label": "High random repeatability load",
      "reproducibility_state": "operator_offset",
      "reproducibility_label": "Operator offset",
      "bias_stability_state": "temporal_drift_environment",
      "bias_stability_label": "Temporal drift/environment sensitivity",
      "review_role": "process_control_owner",
      "review_role_label": "Process-control owner",
      "part_to_part_sigma_proxy": 2.1,
      "repeatability_sigma_proxy": 1.8,
      "operator_sigma_proxy": 1.25,
      "tool_configuration_sigma_proxy": 0.25,
      "operator_part_interaction_sigma_proxy": 0.3,
      "reproducibility_sigma_proxy": 1.31,
      "total_grr_sigma_proxy": 2.226,
      "total_study_sigma_proxy": 3.06,
      "grr_pct_study_variation_proxy": 72.74,
      "part_pct_study_variation_proxy": 68.62,
      "discrimination_ratio_proxy": 0.943,
      "distinct_category_proxy": 1,
      "fixed_bias_proxy": 0.25,
      "range_linearity_pressure": 18,
      "stability_drift_pressure": 86,
      "resolution_pressure": 28,
      "combined_uncertainty_review_proxy": 2.505,
      "design_balance_score": 34,
      "sampling_coverage_score": 82,
      "precision_fitness_score": 4.39,
      "reference_fitness_score": 21.76,
      "measurement_system_readiness_score": 4,
      "review_priority_score": 100,
      "study_design_note": "Operator, tool configuration, and recipe class cannot be separated in the proposed study structure.",
      "role_readout": "Confirm that the measurement system can distinguish the process changes under review before using a chart or control reaction.",
      "real_measurement_rows_used": 0,
      "external_numeric_values_used": 0,
      "production_acceptance_thresholds_used": 0,
      "customer_specifications_used": 0,
      "owned_measurement_files_ingested": 0,
      "quality_dispositions_issued": 0,
      "lot_release_actions": 0,
      "live_anova_runs": 0,
      "decision_gate": "confounded_design_rebuild_required",
      "evidence_state": "study_design_not_identifiable",
      "next_safe_check": "Redesign the study so operator, gauge/tool configuration, recipe class, part, and time effects can be separated before estimating variance components."
    }
  ],
  "methods": [
    "Generate a deterministic 4 x 4 x 4 x 4 x 4 x 4 teaching sweep over study design, part-spread state, repeatability state, reproducibility state, bias/stability posture, and accountable review role.",
    "Compute direct synthetic variance-component, study-variation, discrimination, distinct-category, reference-condition, uncertainty-review, readiness, priority, evidence-state, decision-gate, and next-check proxies without fitting raw data.",
    "Hash the canonical daily triage, structured backlog, factory proof, and resource-candidate records that selected this work item.",
    "Use official public sources as link-first vocabulary anchors only; no example dataset, table, figure, threshold, software output, or numeric result is copied."
  ],
  "public_boundary": [
    "All 4,096 rows are original deterministic teaching proxies; zero real measurement rows, zero owned measurement files, and zero external numeric values are used.",
    "No customer specification, tolerance, production acceptance threshold, universal Gauge R&R pass/fail band, quality disposition, lot release, qualification, calibration claim, or traceability claim is present.",
    "Repeatability and reproducibility remain separate from bias, linearity, stability/drift, resolution, and uncertainty review.",
    "No live ANOVA, REML, mixed-effects model, Minitab execution, spreadsheet macro, solver, upload, metrology-system connection, APC/FDC action, or equipment control is enabled.",
    "The browser filters a saved CSV only. A real study needs owned raw repeats, stable representative parts or artifacts, declared crossed/nested design, randomization, gauge/operator/configuration identity, references, environmental conditions, analysis, and accountable review.",
    "No foundry, fab, process, product, customer, supplier, instrument, operator, method, or software performance claim is made."
  ],
  "sources": [
    {
      "label": "NIST Gauge R&R overview",
      "url": "https://www.itl.nist.gov/div898/handbook/mpc/section4/mpc4.htm",
      "note": "Official overview separating repeatability, reproducibility, stability, bias, resolution, linearity, drift, gauge differences, and uncertainty topics."
    },
    {
      "label": "NIST Gauge R&R study design",
      "url": "https://www.itl.nist.gov/div898/handbook/mpc/section4/mpc42.htm",
      "note": "Official design anchor for representative artifacts, operators, gauges, configurations, and the conditions included in a measurement study."
    },
    {
      "label": "NIST repeatability analysis",
      "url": "https://itl.nist.gov/div898/handbook/mpc/section4/mpc441.htm",
      "note": "Official repeatability vocabulary anchor. No NIST example values or tables are copied."
    },
    {
      "label": "NIST reproducibility analysis",
      "url": "https://itl.nist.gov/div898/handbook/mpc/section4/mpc442.htm",
      "note": "Official reproducibility vocabulary anchor. No NIST example values or tables are copied."
    },
    {
      "label": "NIST uncertainty from a gauge study",
      "url": "https://www.itl.nist.gov/div898/handbook/mpc/section4/mpc46.htm",
      "note": "Official uncertainty anchor. The SemiAgora combined uncertainty field remains a teaching review proxy, not a GUM uncertainty result."
    },
    {
      "label": "NIST gauge linearity",
      "url": "https://www.itl.nist.gov/div898/handbook/mpc/section4/mpc452.htm",
      "note": "Official anchor for checking changes across a measurement range while keeping linearity distinct from Gauge R&R."
    },
    {
      "label": "NIST differences among gauges",
      "url": "https://itl.nist.gov/div898/handbook/mpc/section4/mpc454.htm",
      "note": "Official anchor for between-gauge and configuration differences while preserving study-design context."
    },
    {
      "label": "BIPM VIM measurement precision",
      "url": "https://jcgm.bipm.org/vim/en/2.15.html",
      "note": "Official metrology vocabulary anchor for precision conditions and the distinction between repeatability and reproducibility conditions."
    },
    {
      "label": "Minitab crossed and nested Gage R&R study forms",
      "url": "https://support.minitab.com/en-us/engage/help-and-how-to/tools/forms/types-of-forms/statistical-analysis/gage-r-r-study/",
      "note": "Official vendor documentation used only to anchor crossed-versus-nested study vocabulary; no software output or example dataset is copied."
    },
    {
      "label": "Minitab number of distinct categories",
      "url": "https://support.minitab.com/en-us/minitab/help-and-how-to/quality-and-process-improvement/measurement-system-analysis/supporting-topics/gage-r-r-and-wheeler-s-emp-studies/using-the-number-of-distinct-categories-in-a-gage-r-r-study/",
      "note": "Official vendor documentation anchor for a distinct-category diagnostic. The public replay labels its value as a proxy, never an acceptance rule."
    }
  ]
}
