{"id":4658,"date":"2026-08-12T16:59:38","date_gmt":"2026-08-12T14:59:38","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&#038;p=4658"},"modified":"2026-08-12T16:59:38","modified_gmt":"2026-08-12T14:59:38","slug":"superficie-de-respuesta","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/es\/guide-dutilisateur\/surface-de-reponse\/","title":{"rendered":"Superficie de respuesta"},"content":{"rendered":"<p class=\"wp-block-paragraph\">Esta es la p\u00e1gina de la&nbsp;<strong>modelizaci\u00f3n cuadr\u00e1tica completa<\/strong>&nbsp;: efectos lineales, interacciones y t\u00e9rminos al cuadrado. Solo ella permite situar un punto \u00f3ptimo dentro del dominio y estimar su posici\u00f3n.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"644\" height=\"416\" src=\"https:\/\/ellistat.com\/wp-content\/uploads\/surface.png\" alt=\"\" class=\"wp-image-4659\" srcset=\"https:\/\/ellistat.com\/wp-content\/uploads\/surface.png 644w, https:\/\/ellistat.com\/wp-content\/uploads\/surface-300x194.png 300w, https:\/\/ellistat.com\/wp-content\/uploads\/surface-18x12.png 18w\" sizes=\"auto, (max-width: 644px) 100vw, 644px\" \/><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">Los factores deben ser\u00a0<strong>cuantitativos<\/strong>, la p\u00e1gina muestra el mensaje \u00abLos factores deben ser cuantitativos\u00bb si un valor no es num\u00e9rico, y su n\u00famero es\u00a0<strong>limitado a 6<\/strong>. A partir de ah\u00ed, no se ofrece ninguna tabla.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">1. Las mesas disponibles<\/h2>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>Tabla<\/strong><\/td><td><strong>Lo que es<\/strong><\/td><td><strong>Calidad<\/strong><\/td><\/tr><\/thead><tbody><tr><td><strong>compuesto<\/strong><\/td><td>Dise\u00f1o compuesto centrado: el factorial, los puntos en estrella, los puntos centrales. La referencia.<\/td><td>*****<\/td><\/tr><tr><td><strong>Caja Behnken<\/strong><\/td><td>Puntos medios de las aristas del dominio. Evita combinaciones extremas simult\u00e1neas.<\/td><td>***<\/td><\/tr><tr><td><strong>Hoke D1 \/ D4 \/ D6<\/strong><\/td><td>Planes econ\u00f3micos con un n\u00famero reducido de ensayos.<\/td><td>****<\/td><\/tr><tr><td><strong>H\u00edbrido A \/ B<\/strong><\/td><td>Planes muy econ\u00f3micos para 3 y 4 factores.<\/td><td>***<\/td><\/tr><tr><td><strong>DSD3 \u2026 DSD8<\/strong><\/td><td>Dise\u00f1os de cribado definitivos, utilizados aqu\u00ed en la modelizaci\u00f3n.<\/td><td>****<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">La lista depende del n\u00famero de factores: los dise\u00f1os compuestos y de Hoke tienen 2 factores; a ellos se suman los dise\u00f1os DSD, h\u00edbridos y de Box-Behnken, con 3 y 4 factores; los dise\u00f1os de Hoke y de Box-Behnken vuelven a tener 5 y 6 factores.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">\ud83d\udca1&nbsp;<strong>Box-Behnken en lugar de compuesto<\/strong>&nbsp;cuando las combinaciones extremas son imposibles o peligrosas: temperatura m\u00e1xima&nbsp;<strong>y<\/strong>&nbsp;presi\u00f3n m\u00e1xima al mismo tiempo. El dise\u00f1o de Box-Behnken nunca visita dos extremos simult\u00e1neamente, mientras que el dise\u00f1o compuesto va incluso m\u00e1s all\u00e1 de los l\u00edmites del cubo (o hipercubo) con sus puntos dispuestos en forma de estrella.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\">2. Los dos ajustes del compuesto<\/h2>\n\n\n\n<p class=\"wp-block-paragraph\">El plano compuesto, y solo este, presenta dos ajustes:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>N\u00famero de puntos centrales<\/strong>\u00a0; <\/li>\n\n\n\n<li><strong>Relaci\u00f3n cubo\/esfera<\/strong>\u00a0(\u03b1): la distancia de los puntos de la estrella, en unidades codificadas. Si \u03b1 = 1, la estrella se sit\u00faa en las caras del cubo; si \u03b1 &gt; 1, se sit\u00faa m\u00e1s all\u00e1.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">Ellistat calcula y&nbsp;<strong>muestra los valores autom\u00e1ticos<\/strong>&nbsp;debajo de los campos, recalculadas cada vez que cambia el n\u00famero de factores:<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table class=\"has-fixed-layout\"><thead><tr><td><strong>Factores<\/strong><\/td><td><strong>Puntos clave<\/strong><\/td><td><strong>Relaci\u00f3n cubo\/esfera<\/strong><\/td><\/tr><\/thead><tbody><tr><td>2<\/td><td>5<\/td><td>1,414<\/td><\/tr><tr><td>3<\/td><td>6<\/td><td>1,682<\/td><\/tr><tr><td>4<\/td><td>7<\/td><td>2<\/td><\/tr><tr><td>5<\/td><td>6<\/td><td>2<\/td><\/tr><tr><td>6<\/td><td>9<\/td><td>2,28<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p class=\"wp-block-paragraph\">\u26a0\ufe0f Estos valores sirven de gu\u00eda\u00a0<strong>isovariante por rotaci\u00f3n<\/strong>\u00a0: la precisi\u00f3n de la predicci\u00f3n depende \u00fanicamente de la distancia al centro, no de la direcci\u00f3n. Es leg\u00edtimo modificarlos, en particular reducir \u03b1 a 1 cuando los puntos en forma de estrella salgan del dominio f\u00edsicamente viable, pero se pierde esta propiedad y la precisi\u00f3n mejora en algunas direcciones m\u00e1s que en otras.<\/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":"<!-- This site is optimized with the Yoast SEO plugin v28.2 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Surface de r\u00e9ponse - Ellistat<\/title>\n<meta name=\"description\" content=\"Mod\u00e9lisez interactions et courbure, trouvez l&#039;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\/es\/guia-del-usuario\/superficie-de-respuesta\/\" \/>\n<meta property=\"og:locale\" content=\"es_ES\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Surface de r\u00e9ponse - 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