{
  "slug": "cartes-controle",
  "nom": "Cartes de contrôle",
  "numero": 53,
  "scenario_id": "CAS-MET",
  "question": "La largeur d'étiquette reste-t-elle dans le fonctionnement de référence ?",
  "consigne": "Reconstituer les moyennes/étendues par groupes de 5, fixer les limites sur la seule référence, puis lire chronologiquement la surveillance. Les spécifications99,5/100,5 mm ne servent pas au calcul des limites.",
  "etapes": [
    "Contrôler l'unité, l'ordre temporel et les 5 pièces consécutives de chaque sous-groupe.",
    "Calculer moyenne générale et Rbar sur les 30 groupes de référence; examiner R puis Xbar avec la seule règle déclarée du point hors limites.",
    "Conserver ces limites et reporter les 10 nouveaux groupes. Ne pas recalculer pour faire disparaître un signal.",
    "Au premier signal, protéger le produit concerné et rechercher un événement traçable. La dérive inscrite par le générateur est un élément d'explication fictif, pas une déduction causale de la carte."
  ],
  "entrees": [
    "met_mesures",
    "met_sous_groupes",
    "met_constantes",
    "met_limites_controle",
    "met_specifications",
    "met_references"
  ],
  "resultat_pedagogique": "Référence: moyenne 100.060260 mm, Rbar 0.218633 mm; 0 signal sur les 30 groupes selon la règle annoncée. En surveillance, Xbar signale aux groupes 6, 7, 8, 9, 10. Les limites restent calculées sur la référence. Sources de méthode: https://www.itl.nist.gov/div898/handbook/pmc/section3/pmc321.htm; sigma intra et d2: https://support.minitab.com/en-us/minitab/help-and-how-to/quality-and-process-improvement/control-charts/how-to/variables-charts-for-subgroups/xbar-chart/methods-and-formulas/estimating-sigma/.",
  "livrables": [
    "Deux cartes chronologiques Xbar et R avec référence et surveillance séparées",
    "Journal des signaux et plan d'investigation",
    "Définition des limites statistiques, distinctes des spécifications"
  ],
  "vigilance": [
    "Un signal n'identifie pas une cause; absence de signal ne prouve pas la stabilité absolue.",
    "L'exercice annonce seulement un point hors limites3 sigma; il ne revendique pas une batterie complète de règles de séquences.",
    "D4=2,115 suit l'arrondi de la table NIST consultée; d'autres tables arrondissent à2,114. Garder une convention explicite et constante.",
    "Sous-groupes rationnels, mesure fiable et indépendance pertinente restent à vérifier en situation réelle."
  ],
  "lecons": [
    "confirmer-resultats",
    "plan-surveillance"
  ],
  "phases": [
    "mesurer",
    "analyser",
    "controler"
  ],
  "statut_donnees": "entierement_synthetiques",
  "scenario": {
    "id": "CAS-MET",
    "nom": "Mesurer et régler la largeur d’une étiquette",
    "perimetre": "Largeur nominale 100 mm, limites fictives 99,5–100,5 mm",
    "debut": "2026-03-02",
    "fin": "2026-05-29",
    "statut": "Séries, répétitions et plans expérimentaux synthétiques distincts des commandes"
  },
  "tables": {
    "met_mesures": [
      {
        "id": "MET-REFERENCE-01-1",
        "sous_groupe_id": "MET-REFERENCE-01",
        "ordre_piece": 1,
        "largeur_mm": 99.989,
        "horodatage": "2026-03-04T08:00:00"
      },
      {
        "id": "MET-REFERENCE-01-2",
        "sous_groupe_id": "MET-REFERENCE-01",
        "ordre_piece": 2,
        "largeur_mm": 100.038,
        "horodatage": "2026-03-04T08:00:10"
      },
      {
        "id": "MET-REFERENCE-01-3",
        "sous_groupe_id": "MET-REFERENCE-01",
        "ordre_piece": 3,
        "largeur_mm": 100.052,
        "horodatage": "2026-03-04T08:00:20"
      },
      {
        "id": "MET-REFERENCE-01-4",
        "sous_groupe_id": "MET-REFERENCE-01",
        "ordre_piece": 4,
        "largeur_mm": 100.126,
        "horodatage": "2026-03-04T08:00:30"
      },
      {
        "id": "MET-REFERENCE-01-5",
        "sous_groupe_id": "MET-REFERENCE-01",
        "ordre_piece": 5,
        "largeur_mm": 99.961,
        "horodatage": "2026-03-04T08:00:40"
      },
      {
        "id": "MET-REFERENCE-02-1",
        "sous_groupe_id": "MET-REFERENCE-02",
        "ordre_piece": 1,
        "largeur_mm": 100.108,
        "horodatage": "2026-03-04T08:15:00"
      },
      {
        "id": "MET-REFERENCE-02-2",
        "sous_groupe_id": "MET-REFERENCE-02",
        "ordre_piece": 2,
        "largeur_mm": 100.01,
        "horodatage": "2026-03-04T08:15:10"
      },
      {
        "id": "MET-REFERENCE-02-3",
        "sous_groupe_id": "MET-REFERENCE-02",
        "ordre_piece": 3,
        "largeur_mm": 100.076,
        "horodatage": "2026-03-04T08:15:20"
      },
      {
        "id": "MET-REFERENCE-02-4",
        "sous_groupe_id": "MET-REFERENCE-02",
        "ordre_piece": 4,
        "largeur_mm": 100.079,
        "horodatage": "2026-03-04T08:15:30"
      },
      {
        "id": "MET-REFERENCE-02-5",
        "sous_groupe_id": "MET-REFERENCE-02",
        "ordre_piece": 5,
        "largeur_mm": 99.979,
        "horodatage": "2026-03-04T08:15:40"
      },
      {
        "id": "MET-REFERENCE-03-1",
        "sous_groupe_id": "MET-REFERENCE-03",
        "ordre_piece": 1,
        "largeur_mm": 99.909,
        "horodatage": "2026-03-04T08:30:00"
      },
      {
        "id": "MET-REFERENCE-03-2",
        "sous_groupe_id": "MET-REFERENCE-03",
        "ordre_piece": 2,
        "largeur_mm": 100.124,
        "horodatage": "2026-03-04T08:30:10"
      },
      {
        "id": "MET-REFERENCE-03-3",
        "sous_groupe_id": "MET-REFERENCE-03",
        "ordre_piece": 3,
        "largeur_mm": 100.067,
        "horodatage": "2026-03-04T08:30:20"
      },
      {
        "id": "MET-REFERENCE-03-4",
        "sous_groupe_id": "MET-REFERENCE-03",
        "ordre_piece": 4,
        "largeur_mm": 100.039,
        "horodatage": "2026-03-04T08:30:30"
      },
      {
        "id": "MET-REFERENCE-03-5",
        "sous_groupe_id": "MET-REFERENCE-03",
        "ordre_piece": 5,
        "largeur_mm": 100.006,
        "horodatage": "2026-03-04T08:30:40"
      },
      {
        "id": "MET-REFERENCE-04-1",
        "sous_groupe_id": "MET-REFERENCE-04",
        "ordre_piece": 1,
        "largeur_mm": 99.993,
        "horodatage": "2026-03-04T08:45:00"
      },
      {
        "id": "MET-REFERENCE-04-2",
        "sous_groupe_id": "MET-REFERENCE-04",
        "ordre_piece": 2,
        "largeur_mm": 99.974,
        "horodatage": "2026-03-04T08:45:10"
      },
      {
        "id": "MET-REFERENCE-04-3",
        "sous_groupe_id": "MET-REFERENCE-04",
        "ordre_piece": 3,
        "largeur_mm": 99.997,
        "horodatage": "2026-03-04T08:45:20"
      },
      {
        "id": "MET-REFERENCE-04-4",
        "sous_groupe_id": "MET-REFERENCE-04",
        "ordre_piece": 4,
        "largeur_mm": 100.127,
        "horodatage": "2026-03-04T08:45:30"
      },
      {
        "id": "MET-REFERENCE-04-5",
        "sous_groupe_id": "MET-REFERENCE-04",
        "ordre_piece": 5,
        "largeur_mm": 100.104,
        "horodatage": "2026-03-04T08:45:40"
      },
      {
        "id": "MET-REFERENCE-05-1",
        "sous_groupe_id": "MET-REFERENCE-05",
        "ordre_piece": 1,
        "largeur_mm": 99.893,
        "horodatage": "2026-03-04T09:00:00"
      },
      {
        "id": "MET-REFERENCE-05-2",
        "sous_groupe_id": "MET-REFERENCE-05",
        "ordre_piece": 2,
        "largeur_mm": 100.182,
        "horodatage": "2026-03-04T09:00:10"
      },
      {
        "id": "MET-REFERENCE-05-3",
        "sous_groupe_id": "MET-REFERENCE-05",
        "ordre_piece": 3,
        "largeur_mm": 100.035,
        "horodatage": "2026-03-04T09:00:20"
      },
      {
        "id": "MET-REFERENCE-05-4",
        "sous_groupe_id": "MET-REFERENCE-05",
        "ordre_piece": 4,
        "largeur_mm": 100.062,
        "horodatage": "2026-03-04T09:00:30"
      },
      {
        "id": "MET-REFERENCE-05-5",
        "sous_groupe_id": "MET-REFERENCE-05",
        "ordre_piece": 5,
        "largeur_mm": 100.11,
        "horodatage": "2026-03-04T09:00:40"
      },
      {
        "id": "MET-REFERENCE-06-1",
        "sous_groupe_id": "MET-REFERENCE-06",
        "ordre_piece": 1,
        "largeur_mm": 100.139,
        "horodatage": "2026-03-04T09:15:00"
      },
      {
        "id": "MET-REFERENCE-06-2",
        "sous_groupe_id": "MET-REFERENCE-06",
        "ordre_piece": 2,
        "largeur_mm": 100.323,
        "horodatage": "2026-03-04T09:15:10"
      },
      {
        "id": "MET-REFERENCE-06-3",
        "sous_groupe_id": "MET-REFERENCE-06",
        "ordre_piece": 3,
        "largeur_mm": 99.99,
        "horodatage": "2026-03-04T09:15:20"
      },
      {
        "id": "MET-REFERENCE-06-4",
        "sous_groupe_id": "MET-REFERENCE-06",
        "ordre_piece": 4,
        "largeur_mm": 100.095,
        "horodatage": "2026-03-04T09:15:30"
      },
      {
        "id": "MET-REFERENCE-06-5",
        "sous_groupe_id": "MET-REFERENCE-06",
        "ordre_piece": 5,
        "largeur_mm": 100.034,
        "horodatage": "2026-03-04T09:15:40"
      },
      {
        "id": "MET-REFERENCE-07-1",
        "sous_groupe_id": "MET-REFERENCE-07",
        "ordre_piece": 1,
        "largeur_mm": 99.97,
        "horodatage": "2026-03-04T09:30:00"
      },
      {
        "id": "MET-REFERENCE-07-2",
        "sous_groupe_id": "MET-REFERENCE-07",
        "ordre_piece": 2,
        "largeur_mm": 100.043,
        "horodatage": "2026-03-04T09:30:10"
      },
      {
        "id": "MET-REFERENCE-07-3",
        "sous_groupe_id": "MET-REFERENCE-07",
        "ordre_piece": 3,
        "largeur_mm": 100.14,
        "horodatage": "2026-03-04T09:30:20"
      },
      {
        "id": "MET-REFERENCE-07-4",
        "sous_groupe_id": "MET-REFERENCE-07",
        "ordre_piece": 4,
        "largeur_mm": 99.885,
        "horodatage": "2026-03-04T09:30:30"
      },
      {
        "id": "MET-REFERENCE-07-5",
        "sous_groupe_id": "MET-REFERENCE-07",
        "ordre_piece": 5,
        "largeur_mm": 100.158,
        "horodatage": "2026-03-04T09:30:40"
      },
      {
        "id": "MET-REFERENCE-08-1",
        "sous_groupe_id": "MET-REFERENCE-08",
        "ordre_piece": 1,
        "largeur_mm": 99.817,
        "horodatage": "2026-03-04T09:45:00"
      },
      {
        "id": "MET-REFERENCE-08-2",
        "sous_groupe_id": "MET-REFERENCE-08",
        "ordre_piece": 2,
        "largeur_mm": 99.98,
        "horodatage": "2026-03-04T09:45:10"
      },
      {
        "id": "MET-REFERENCE-08-3",
        "sous_groupe_id": "MET-REFERENCE-08",
        "ordre_piece": 3,
        "largeur_mm": 99.817,
        "horodatage": "2026-03-04T09:45:20"
      },
      {
        "id": "MET-REFERENCE-08-4",
        "sous_groupe_id": "MET-REFERENCE-08",
        "ordre_piece": 4,
        "largeur_mm": 100.156,
        "horodatage": "2026-03-04T09:45:30"
      },
      {
        "id": "MET-REFERENCE-08-5",
        "sous_groupe_id": "MET-REFERENCE-08",
        "ordre_piece": 5,
        "largeur_mm": 100.063,
        "horodatage": "2026-03-04T09:45:40"
      },
      {
        "id": "MET-REFERENCE-09-1",
        "sous_groupe_id": "MET-REFERENCE-09",
        "ordre_piece": 1,
        "largeur_mm": 100.134,
        "horodatage": "2026-03-04T10:00:00"
      },
      {
        "id": "MET-REFERENCE-09-2",
        "sous_groupe_id": "MET-REFERENCE-09",
        "ordre_piece": 2,
        "largeur_mm": 100.105,
        "horodatage": "2026-03-04T10:00:10"
      },
      {
        "id": "MET-REFERENCE-09-3",
        "sous_groupe_id": "MET-REFERENCE-09",
        "ordre_piece": 3,
        "largeur_mm": 100.032,
        "horodatage": "2026-03-04T10:00:20"
      },
      {
        "id": "MET-REFERENCE-09-4",
        "sous_groupe_id": "MET-REFERENCE-09",
        "ordre_piece": 4,
        "largeur_mm": 99.963,
        "horodatage": "2026-03-04T10:00:30"
      },
      {
        "id": "MET-REFERENCE-09-5",
        "sous_groupe_id": "MET-REFERENCE-09",
        "ordre_piece": 5,
        "largeur_mm": 100.083,
        "horodatage": "2026-03-04T10:00:40"
      },
      {
        "id": "MET-REFERENCE-10-1",
        "sous_groupe_id": "MET-REFERENCE-10",
        "ordre_piece": 1,
        "largeur_mm": 100.068,
        "horodatage": "2026-03-04T10:15:00"
      },
      {
        "id": "MET-REFERENCE-10-2",
        "sous_groupe_id": "MET-REFERENCE-10",
        "ordre_piece": 2,
        "largeur_mm": 99.996,
        "horodatage": "2026-03-04T10:15:10"
      },
      {
        "id": "MET-REFERENCE-10-3",
        "sous_groupe_id": "MET-REFERENCE-10",
        "ordre_piece": 3,
        "largeur_mm": 100.09,
        "horodatage": "2026-03-04T10:15:20"
      },
      {
        "id": "MET-REFERENCE-10-4",
        "sous_groupe_id": "MET-REFERENCE-10",
        "ordre_piece": 4,
        "largeur_mm": 99.997,
        "horodatage": "2026-03-04T10:15:30"
      },
      {
        "id": "MET-REFERENCE-10-5",
        "sous_groupe_id": "MET-REFERENCE-10",
        "ordre_piece": 5,
        "largeur_mm": 99.961,
        "horodatage": "2026-03-04T10:15:40"
      },
      {
        "id": "MET-REFERENCE-11-1",
        "sous_groupe_id": "MET-REFERENCE-11",
        "ordre_piece": 1,
        "largeur_mm": 100.267,
        "horodatage": "2026-03-04T10:30:00"
      },
      {
        "id": "MET-REFERENCE-11-2",
        "sous_groupe_id": "MET-REFERENCE-11",
        "ordre_piece": 2,
        "largeur_mm": 100.081,
        "horodatage": "2026-03-04T10:30:10"
      },
      {
        "id": "MET-REFERENCE-11-3",
        "sous_groupe_id": "MET-REFERENCE-11",
        "ordre_piece": 3,
        "largeur_mm": 100.17,
        "horodatage": "2026-03-04T10:30:20"
      },
      {
        "id": "MET-REFERENCE-11-4",
        "sous_groupe_id": "MET-REFERENCE-11",
        "ordre_piece": 4,
        "largeur_mm": 100.163,
        "horodatage": "2026-03-04T10:30:30"
      },
      {
        "id": "MET-REFERENCE-11-5",
        "sous_groupe_id": "MET-REFERENCE-11",
        "ordre_piece": 5,
        "largeur_mm": 99.945,
        "horodatage": "2026-03-04T10:30:40"
      },
      {
        "id": "MET-REFERENCE-12-1",
        "sous_groupe_id": "MET-REFERENCE-12",
        "ordre_piece": 1,
        "largeur_mm": 99.962,
        "horodatage": "2026-03-04T10:45:00"
      },
      {
        "id": "MET-REFERENCE-12-2",
        "sous_groupe_id": "MET-REFERENCE-12",
        "ordre_piece": 2,
        "largeur_mm": 100.194,
        "horodatage": "2026-03-04T10:45:10"
      },
      {
        "id": "MET-REFERENCE-12-3",
        "sous_groupe_id": "MET-REFERENCE-12",
        "ordre_piece": 3,
        "largeur_mm": 100.177,
        "horodatage": "2026-03-04T10:45:20"
      },
      {
        "id": "MET-REFERENCE-12-4",
        "sous_groupe_id": "MET-REFERENCE-12",
        "ordre_piece": 4,
        "largeur_mm": 99.999,
        "horodatage": "2026-03-04T10:45:30"
      },
      {
        "id": "MET-REFERENCE-12-5",
        "sous_groupe_id": "MET-REFERENCE-12",
        "ordre_piece": 5,
        "largeur_mm": 100.037,
        "horodatage": "2026-03-04T10:45:40"
      },
      {
        "id": "MET-REFERENCE-13-1",
        "sous_groupe_id": "MET-REFERENCE-13",
        "ordre_piece": 1,
        "largeur_mm": 99.834,
        "horodatage": "2026-03-04T11:00:00"
      },
      {
        "id": "MET-REFERENCE-13-2",
        "sous_groupe_id": "MET-REFERENCE-13",
        "ordre_piece": 2,
        "largeur_mm": 99.995,
        "horodatage": "2026-03-04T11:00:10"
      },
      {
        "id": "MET-REFERENCE-13-3",
        "sous_groupe_id": "MET-REFERENCE-13",
        "ordre_piece": 3,
        "largeur_mm": 100.072,
        "horodatage": "2026-03-04T11:00:20"
      },
      {
        "id": "MET-REFERENCE-13-4",
        "sous_groupe_id": "MET-REFERENCE-13",
        "ordre_piece": 4,
        "largeur_mm": 100.042,
        "horodatage": "2026-03-04T11:00:30"
      },
      {
        "id": "MET-REFERENCE-13-5",
        "sous_groupe_id": "MET-REFERENCE-13",
        "ordre_piece": 5,
        "largeur_mm": 100.088,
        "horodatage": "2026-03-04T11:00:40"
      },
      {
        "id": "MET-REFERENCE-14-1",
        "sous_groupe_id": "MET-REFERENCE-14",
        "ordre_piece": 1,
        "largeur_mm": 100.18,
        "horodatage": "2026-03-04T11:15:00"
      },
      {
        "id": "MET-REFERENCE-14-2",
        "sous_groupe_id": "MET-REFERENCE-14",
        "ordre_piece": 2,
        "largeur_mm": 99.98,
        "horodatage": "2026-03-04T11:15:10"
      },
      {
        "id": "MET-REFERENCE-14-3",
        "sous_groupe_id": "MET-REFERENCE-14",
        "ordre_piece": 3,
        "largeur_mm": 100.041,
        "horodatage": "2026-03-04T11:15:20"
      },
      {
        "id": "MET-REFERENCE-14-4",
        "sous_groupe_id": "MET-REFERENCE-14",
        "ordre_piece": 4,
        "largeur_mm": 100.077,
        "horodatage": "2026-03-04T11:15:30"
      },
      {
        "id": "MET-REFERENCE-14-5",
        "sous_groupe_id": "MET-REFERENCE-14",
        "ordre_piece": 5,
        "largeur_mm": 100.071,
        "horodatage": "2026-03-04T11:15:40"
      },
      {
        "id": "MET-REFERENCE-15-1",
        "sous_groupe_id": "MET-REFERENCE-15",
        "ordre_piece": 1,
        "largeur_mm": 100.199,
        "horodatage": "2026-03-04T11:30:00"
      },
      {
        "id": "MET-REFERENCE-15-2",
        "sous_groupe_id": "MET-REFERENCE-15",
        "ordre_piece": 2,
        "largeur_mm": 100.157,
        "horodatage": "2026-03-04T11:30:10"
      },
      {
        "id": "MET-REFERENCE-15-3",
        "sous_groupe_id": "MET-REFERENCE-15",
        "ordre_piece": 3,
        "largeur_mm": 100.005,
        "horodatage": "2026-03-04T11:30:20"
      },
      {
        "id": "MET-REFERENCE-15-4",
        "sous_groupe_id": "MET-REFERENCE-15",
        "ordre_piece": 4,
        "largeur_mm": 100.039,
        "horodatage": "2026-03-04T11:30:30"
      },
      {
        "id": "MET-REFERENCE-15-5",
        "sous_groupe_id": "MET-REFERENCE-15",
        "ordre_piece": 5,
        "largeur_mm": 99.914,
        "horodatage": "2026-03-04T11:30:40"
      },
      {
        "id": "MET-REFERENCE-16-1",
        "sous_groupe_id": "MET-REFERENCE-16",
        "ordre_piece": 1,
        "largeur_mm": 100.14,
        "horodatage": "2026-03-04T11:45:00"
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        "evenement_connu_du_generateur": "Réglage de référence simulé",
        "signal_xbar": 0,
        "signal_r": 0
      },
      {
        "id": "MET-SURVEILLANCE-01",
        "serie": "surveillance",
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        "effectif": 5,
        "moyenne_mm": 100.0172,
        "etendue_mm": 0.35700000000001353,
        "debut": "2026-03-05T08:00:00",
        "evenement_connu_du_generateur": "Réglage de référence simulé",
        "signal_xbar": 0,
        "signal_r": 0
      },
      {
        "id": "MET-SURVEILLANCE-02",
        "serie": "surveillance",
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        "effectif": 5,
        "moyenne_mm": 100.0372,
        "etendue_mm": 0.19599999999999795,
        "debut": "2026-03-05T08:15:00",
        "evenement_connu_du_generateur": "Réglage de référence simulé",
        "signal_xbar": 0,
        "signal_r": 0
      },
      {
        "id": "MET-SURVEILLANCE-03",
        "serie": "surveillance",
        "numero": 3,
        "effectif": 5,
        "moyenne_mm": 100.0386,
        "etendue_mm": 0.1290000000000049,
        "debut": "2026-03-05T08:30:00",
        "evenement_connu_du_generateur": "Réglage de référence simulé",
        "signal_xbar": 0,
        "signal_r": 0
      },
      {
        "id": "MET-SURVEILLANCE-04",
        "serie": "surveillance",
        "numero": 4,
        "effectif": 5,
        "moyenne_mm": 100.1382,
        "etendue_mm": 0.27300000000001035,
        "debut": "2026-03-05T08:45:00",
        "evenement_connu_du_generateur": "Réglage de référence simulé",
        "signal_xbar": 0,
        "signal_r": 0
      },
      {
        "id": "MET-SURVEILLANCE-05",
        "serie": "surveillance",
        "numero": 5,
        "effectif": 5,
        "moyenne_mm": 100.0992,
        "etendue_mm": 0.1880000000000024,
        "debut": "2026-03-05T09:00:00",
        "evenement_connu_du_generateur": "Réglage de référence simulé",
        "signal_xbar": 0,
        "signal_r": 0
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      {
        "id": "MET-SURVEILLANCE-06",
        "serie": "surveillance",
        "numero": 6,
        "effectif": 5,
        "moyenne_mm": 100.4156,
        "etendue_mm": 0.16900000000001114,
        "debut": "2026-03-05T09:15:00",
        "evenement_connu_du_generateur": "Déplacement de centrage simulé; investigation à mener",
        "signal_xbar": 1,
        "signal_r": 0
      },
      {
        "id": "MET-SURVEILLANCE-07",
        "serie": "surveillance",
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        "effectif": 5,
        "moyenne_mm": 100.3584,
        "etendue_mm": 0.1700000000000017,
        "debut": "2026-03-05T09:30:00",
        "evenement_connu_du_generateur": "Déplacement de centrage simulé; investigation à mener",
        "signal_xbar": 1,
        "signal_r": 0
      },
      {
        "id": "MET-SURVEILLANCE-08",
        "serie": "surveillance",
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        "effectif": 5,
        "moyenne_mm": 100.4042,
        "etendue_mm": 0.29599999999999227,
        "debut": "2026-03-05T09:45:00",
        "evenement_connu_du_generateur": "Déplacement de centrage simulé; investigation à mener",
        "signal_xbar": 1,
        "signal_r": 0
      },
      {
        "id": "MET-SURVEILLANCE-09",
        "serie": "surveillance",
        "numero": 9,
        "effectif": 5,
        "moyenne_mm": 100.3952,
        "etendue_mm": 0.2469999999999999,
        "debut": "2026-03-05T10:00:00",
        "evenement_connu_du_generateur": "Déplacement de centrage simulé; investigation à mener",
        "signal_xbar": 1,
        "signal_r": 0
      },
      {
        "id": "MET-SURVEILLANCE-10",
        "serie": "surveillance",
        "numero": 10,
        "effectif": 5,
        "moyenne_mm": 100.4122,
        "etendue_mm": 0.284000000000006,
        "debut": "2026-03-05T10:15:00",
        "evenement_connu_du_generateur": "Déplacement de centrage simulé; investigation à mener",
        "signal_xbar": 1,
        "signal_r": 0
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    ],
    "met_constantes": [
      {
        "id": "A2-N5",
        "constante": "A2",
        "n": 5,
        "valeur": 0.577,
        "usage": "Xbar: moyenne générale +/- A2*Rbar",
        "source_url": "https://www.itl.nist.gov/div898/handbook/pmc/section3/pmc321.htm"
      },
      {
        "id": "D3-N5",
        "constante": "D3",
        "n": 5,
        "valeur": 0.0,
        "usage": "Limite basse de R: D3*Rbar",
        "source_url": "https://www.itl.nist.gov/div898/handbook/pmc/section3/pmc321.htm"
      },
      {
        "id": "D4-N5",
        "constante": "D4",
        "n": 5,
        "valeur": 2.115,
        "usage": "Limite haute de R: D4*Rbar; arrondi de la table NIST consultée",
        "source_url": "https://www.itl.nist.gov/div898/handbook/pmc/section3/pmc321.htm"
      },
      {
        "id": "D2-N5",
        "constante": "d2",
        "n": 5,
        "valeur": 2.326,
        "usage": "Estimation sigma intra: Rbar/d2",
        "source_url": "https://support.minitab.com/en-us/minitab/help-and-how-to/quality-and-process-improvement/control-charts/how-to/variables-charts-for-subgroups/xbar-chart/methods-and-formulas/estimating-sigma/"
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    "met_limites_controle": [
      {
        "id": "LIM-XBAR",
        "carte": "Xbar",
        "centre_mm": 100.06026,
        "limite_basse_mm": 99.93410856666667,
        "limite_haute_mm": 100.18641143333333,
        "reference": "30 sous-groupes de5; règle annoncée: un point hors limites3sigma"
      },
      {
        "id": "LIM-R",
        "carte": "R",
        "centre_mm": 0.21863333333333515,
        "limite_basse_mm": 0.0,
        "limite_haute_mm": 0.4624095000000039,
        "reference": "Même référence; aucune réestimation automatique sur surveillance"
      }
    ],
    "met_specifications": [
      {
        "id": "SPEC-LARG-001",
        "scenario_id": "CAS-MET",
        "caracteristique": "Largeur d'étiquette",
        "unite": "mm",
        "nominal": 100.0,
        "lsl": 99.5,
        "usl": 100.5,
        "resolution": 0.001,
        "statut": "Spécification fictive pour exercice; aucune portée réglementaire"
      }
    ],
    "met_references": [
      {
        "id": "REF-SPC",
        "organisme": "NIST/SEMATECH",
        "titre": "Shewhart X-bar and R and S Control Charts",
        "url": "https://www.itl.nist.gov/div898/handbook/pmc/section3/pmc321.htm",
        "consulte_le": "2026-10-21",
        "usage": "Formules et constantes A2/D3/D4 de la carte Xbar-R; convention D4=2,115"
      },
      {
        "id": "REF-ANOVA",
        "organisme": "NIST/SEMATECH",
        "titre": "Two-Way Crossed ANOVA",
        "url": "https://www.itl.nist.gov/div898/handbook/ppc/section2/ppc232.htm",
        "consulte_le": "2026-10-21",
        "usage": "Plan croisé, moyennes, sommes de carrés et degrés de liberté; composantes par moments développées dans l'étude"
      },
      {
        "id": "REF-CAPA",
        "organisme": "NIST/SEMATECH",
        "titre": "What is Process Capability?",
        "url": "https://www.itl.nist.gov/div898/handbook/pmc/section1/pmc16.htm",
        "consulte_le": "2026-10-21",
        "usage": "Définitions des indices et hypothèses; conventions intra/globale précisées dans l'étude"
      },
      {
        "id": "REF-DOE",
        "organisme": "NIST/SEMATECH",
        "titre": "Two-level full factorial designs",
        "url": "https://www.itl.nist.gov/div898/handbook/pri/section3/pri3331.htm",
        "consulte_le": "2026-10-21",
        "usage": "Plan2^3, codage−1/+1, répétition et orthogonalité"
      },
      {
        "id": "REF-D2",
        "organisme": "Minitab, documentation éditeur",
        "titre": "Methods and formulas for estimating sigma for Xbar Chart",
        "url": "https://support.minitab.com/en-us/minitab/help-and-how-to/quality-and-process-improvement/control-charts/how-to/variables-charts-for-subgroups/xbar-chart/methods-and-formulas/estimating-sigma/",
        "consulte_le": "2026-10-21",
        "usage": "Constante d2(5)=2,326; ne pas confondre d4 d'une autre table et D4 de la carte R"
      }
    ]
  },
  "resultats": [
    {
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    {
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      "moyenne_mm": 100.0372,
      "etendue_mm": 0.19599999999999795,
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      "signal_r": 0
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      "moyenne_mm": 100.0386,
      "etendue_mm": 0.1290000000000049,
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      "signal_r": 0
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      "moyenne_mm": 100.1382,
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      "signal_r": 0
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      "signal_xbar": 0,
      "signal_r": 0
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    {
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      "moyenne_mm": 100.4156,
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      "signal_r": 0
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    {
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      "moyenne_mm": 100.3584,
      "etendue_mm": 0.1700000000000017,
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      "signal_r": 0
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    {
      "numero": 8,
      "moyenne_mm": 100.4042,
      "etendue_mm": 0.29599999999999227,
      "signal_xbar": 1,
      "signal_r": 0
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    {
      "numero": 9,
      "moyenne_mm": 100.3952,
      "etendue_mm": 0.2469999999999999,
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      "signal_r": 0
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    {
      "numero": 10,
      "moyenne_mm": 100.4122,
      "etendue_mm": 0.284000000000006,
      "signal_xbar": 1,
      "signal_r": 0
    }
  ],
  "preuves": [
    {
      "id": "MET-SPC",
      "scenario_id": "CAS-MET",
      "type": "releve_synthetique",
      "titre": "Largeur d'étiquette : référence et surveillance séparées",
      "description": "Une référence construite par génération gaussienne (seed1021), 30 sous-groupes de 5 étiquettes consécutives; puis10 sous-groupes de surveillance avec déplacement simulé du centrage au groupe 6. Les nombres ne proviennent d'aucune machine réelle.",
      "statut": "simule",
      "date": "2026-03-04"
    },
    {
      "id": "MET-SPEC",
      "scenario_id": "CAS-MET",
      "type": "exigence_pedagogique",
      "titre": "Spécification fictive de largeur",
      "description": "Nominal100 mm, limites99,5 et100,5 mm, résolution instrument0,001 mm. Exigence conçue pour l'exercice, distincte des limites statistiques et sans statut réglementaire.",
      "statut": "hypothese",
      "date": "2026-03-02"
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        "name": "largeur_mm",
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    "met_constantes": [
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}