{"id":4658,"date":"2026-08-12T16:59:38","date_gmt":"2026-08-12T14:59:38","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&p=4658"},"modified":"2026-08-12T16:59:38","modified_gmt":"2026-08-12T14:59:38","slug":"response-surface","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/en\/guide-dutilisateur\/surface-de-reponse\/","title":{"rendered":"Response surface methodology (RSM)"},"content":{"rendered":"

C\u2019est la page de la mod\u00e9lisation quadratique compl\u00e8te<\/strong> : effets lin\u00e9aires, interactions et carr\u00e9s. Elle seule permet de placer un optimum \u00e0 l\u2019int\u00e9rieur du domaine et d\u2019en estimer la position.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Les facteurs doivent \u00eatre\u00a0quantitatifs<\/strong>, la page affiche \u00ab Les facteurs doivent \u00eatre quantitatifs \u00bb si une valeur n\u2019est pas num\u00e9rique, et leur nombre est\u00a0limit\u00e9 \u00e0 6<\/strong>. Au-del\u00e0, aucune table n\u2019est propos\u00e9e.<\/p>\n\n\n\n

1. Les tables disponibles<\/h2>\n\n\n\n
Table<\/strong><\/td>Ce qu\u2019elle est<\/strong><\/td>Qualit\u00e9<\/strong><\/td><\/tr><\/thead>
composite<\/strong><\/td>Plan composite centr\u00e9 : le factoriel, les points en \u00e9toile, les points centraux. La r\u00e9f\u00e9rence.<\/td>*****<\/td><\/tr>
Box Behnken<\/strong><\/td>Milieux d\u2019ar\u00eates du domaine. \u00c9vite les combinaisons extr\u00eames simultan\u00e9es.<\/td>***<\/td><\/tr>
Hoke D1 \/ D4 \/ D6<\/strong><\/td>Plans \u00e9conomiques \u00e0 faible nombre d\u2019essais.<\/td>****<\/td><\/tr>
Hybride A \/ B<\/strong><\/td>Plans tr\u00e8s \u00e9conomiques pour 3 et 4 facteurs.<\/td>***<\/td><\/tr>
DSD3 \u2026 DSD8<\/strong><\/td>Definitive Screening Designs, ici employ\u00e9s en mod\u00e9lisation.<\/td>****<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

La liste d\u00e9pend du nombre de facteurs : composite et Hoke \u00e0 2 facteurs ; s\u2019y ajoutent DSD, Hybrides et Box-Behnken \u00e0 3 et 4 ; Hoke et Box-Behnken reviennent \u00e0 5 et 6.<\/p>\n\n\n\n

\ud83d\udca1 Box-Behnken plut\u00f4t que composite<\/strong> quand les combinaisons extr\u00eames sont impossibles ou dangereuses : temp\u00e9rature maximale and<\/strong> pression maximale en m\u00eame temps. Box-Behnken ne visite jamais deux extr\u00eames simultan\u00e9ment, l\u00e0 o\u00f9 le composite va m\u00eame au-del\u00e0 des bornes du cube (ou hypercube) avec ses points en \u00e9toile.<\/p>\n\n\n\n

2. Les deux r\u00e9glages du composite<\/h2>\n\n\n\n

Le plan composite, et lui seul, expose deux r\u00e9glages :<\/p>\n\n\n\n

    \n
  • Nb de points centraux<\/strong>\u00a0; <\/li>\n\n\n\n
  • Ratio Cube\/sph\u00e8re<\/strong>\u00a0(\u03b1) : la distance des points en \u00e9toile, en unit\u00e9s cod\u00e9es. \u03b1 = 1 place l\u2019\u00e9toile sur les faces du cube ; \u03b1 > 1 la place au-del\u00e0.<\/li>\n<\/ul>\n\n\n\n

    Ellistat calcule et affiche les valeurs automatiques<\/strong> sous les champs, recalcul\u00e9es \u00e0 chaque changement du nombre de facteurs :<\/p>\n\n\n\n

    Factors<\/strong><\/td>Points centraux<\/strong><\/td>Ratio Cube\/sph\u00e8re<\/strong><\/td><\/tr><\/thead>
    2<\/td>5<\/td>1,414<\/td><\/tr>
    3<\/td>6<\/td>1,682<\/td><\/tr>
    4<\/td>7<\/td>2<\/td><\/tr>
    5<\/td>6<\/td>2<\/td><\/tr>
    6<\/td>9<\/td>2,28<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    \u26a0\ufe0f Ces valeurs donnent un plan\u00a0isovariant par rotation<\/strong>\u00a0: la pr\u00e9cision de pr\u00e9diction ne d\u00e9pend que de la distance au centre, pas de la direction. Les modifier est l\u00e9gitime, notamment ramener \u03b1 \u00e0 1 quand les points en \u00e9toile sortiraient du domaine physiquement r\u00e9alisable mais on perd cette propri\u00e9t\u00e9, et la pr\u00e9cision devient meilleure dans certaines directions que dans d\u2019autres.<\/p>","protected":false},"featured_media":0,"menu_order":80,"template":"","meta":{"_acf_changed":true},"menu-guide-dutilisateur":[24],"class_list":["post-4658","guide-dutilisateur","type-guide-dutilisateur","status-publish","hentry","menu-guide-dutilisateur-7-doe-plans-dexperiences"],"acf":[],"yoast_head":"\nSurface de r\u00e9ponse - Ellistat<\/title>\n<meta name=\"description\" content=\"Mod\u00e9lisez interactions et courbure, trouvez l'optimum de votre process avec un plan composite, Box-Behnken ou Hoke, adapt\u00e9s \u00e0 vos contraintes de domaine.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/ellistat.com\/en\/users-guide\/response-surface\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Surface de r\u00e9ponse - 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