{"id":4660,"date":"2026-08-12T16:59:47","date_gmt":"2026-08-12T14:59:47","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&p=4660"},"modified":"2026-08-12T16:59:47","modified_gmt":"2026-08-12T14:59:47","slug":"smart-doe","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/en\/guide-dutilisateur\/smart-doe\/","title":{"rendered":"Smart DOE"},"content":{"rendered":"

This is the most recent page in the menu, and it works differently from all the others:\u00a0We don't calculate the number of trials; we select it from a curve<\/strong>.<\/p>\n\n\n\n

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

The Principle: Ellistat Data Analysis<\/a> takes on board a\u00a0catalog of certified plans<\/strong>, approximately 1,000 designs, ranging from 3 to 14 factors and from 8 to 44 runs, whose properties are mathematically proven and re-verified with each software release: main effects that are orthogonal to one another, and\u00a0completely alias-free<\/strong>\u00a0using squares and interactions. The sources are academic: conference matrices and DSDs from Jones & Nachtsheim (2011), mixed designs by N\u00fa\u00f1ez Ares, Schoen & Goos (2023), designs published in *Technometrics* (2020), supplemented by designs generated by Ellistat.<\/p>\n\n\n\n

1. The Table of Factors<\/h2>\n\n\n\n

Each factor receives a Type<\/strong> :<\/p>\n\n\n\n

    \n
  • Continuous (3 levels)<\/strong>\u00a0: min, intermediate, max. Its curvature is estimable; ;<\/li>\n\n\n\n
  • Age-Group (2 levels)<\/strong>: two options, no intermediate level. The field for the central level is disabled: \u00abA categorical factor has only two options: no intermediate level to enter.\u00bb<\/li>\n<\/ul>\n\n\n\n

    A banner summarizes the setup: \u00ab\u00a0n<\/em>\u00a0factors, including\u00a0k<\/em>\u00a0\u00bbcategory(ies)\" with one bullet point per factor. You need to\u00a0at least two continuous factors<\/strong>\u00a0so that routes can be suggested; otherwise, the page displays the message \u00abAt least two continuous factors are required to suggest routes.\u00bb.<\/p>\n\n\n\n

    2. The Goal and the Compromise<\/h2>\n\n\n\n

    Two exclusive, optional cards:<\/p>\n\n\n\n

      \n
    • Identify the influencing factors<\/strong>\u00a0: screening: identifying the effects that matter, with a minimum number of trials; ;<\/li>\n\n\n\n
    • Modeling and Optimization<\/strong>\u00a0: response surface: build a model with curvature to find the optimal setting.<\/li>\n<\/ul>\n\n\n\n

      Below the cards, a slider Accuracy of Effects \u2194 Accuracy of Curvature<\/strong> weights the ranking of the plans. In screening mode, it disappears: looking for curvature doesn't make sense when you're only trying to determine which factors matter.<\/p>\n\n\n\n

      The target is saved in the map: it persists even after the page is reloaded.<\/p>\n\n\n\n

      3. The Line Between Quality and Testing<\/h2>\n\n\n\n

      This is the main chart: the quality of the best available plan, based on the number of attempts<\/strong>. One dot per map size, connected by a line.<\/p>\n\n\n\n

      Point<\/strong><\/td>Meaning<\/strong><\/td><\/tr><\/thead>
      Green<\/strong><\/td>Certified floor plan from the catalog. Click to view details.<\/td><\/tr>
      Blue<\/strong><\/td>Customized, optimized plan, already generated.<\/td><\/tr>
      Gray<\/strong><\/td>No certified plan at this scale\u2014click to create one.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

      The \u00ab\u00a0Test range explored<\/strong>\u00a0\u00bbnarrows the scale. It starts from the mathematical minimum,\u00a02k+1<\/strong>\u00a0tests for\u00a0k<\/em>\u00a0factors, and covers at least\u00a03k<\/strong>\u00a0trials without ever exceeding 60.<\/p>\n\n\n\n

      \ud83d\udca1 The note below the title explains the correct way to interpret this graph: \u00ab Look for the elbow<\/strong> : Beyond that, each additional attempt adds little value. \u00bb This is exactly the trade-off we usually make blindly, by simply copying the scope of the previous project. Here, it\u2019s quantified: we can see what the five tests we\u2019re hesitating to fund will cost, and what they\u2019ll yield.<\/p>\n\n\n\n

      4. Map sheets<\/h2>\n\n\n\n

      Below the border, one map per page, sorted by quality. Each map includes:<\/p>\n\n\n\n

        \n
      • a\u00a0badge<\/strong>\u00a0: \u00abCertified\u00bb (proven orthogonality and absence of aliasing) or \u00abCustom-Optimized\u00bb (designed through optimization for this exact size); ; <\/li>\n\n\n\n
      • three\u00a0bars<\/strong>\u00a0from 0 to 100, interpreted like a traffic light:<\/li>\n<\/ul>\n\n\n\n
        Bar<\/strong><\/td>What it measures<\/strong><\/td><\/tr><\/thead>
        Clarification of the Effects<\/strong><\/td>The higher the bar, the more accurately the main effects are estimated.<\/td><\/tr>
        Curvature Accuracy<\/strong><\/td>Ability to estimate quadratic terms, and thus to identify an optimum. Displays \u00abcannot be estimated\u00bb when the plane does not allow it.<\/td><\/tr>
        Separation of Second-Order Terms<\/strong><\/td>The higher the bar, the less the squares and interactions overlap with one another.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n
          \n
        • the number of exercises already at the intermediate level, and a step-by-step guide \u00ab\u00a0+ key points<\/strong>\u00a0\u00bb (up to 6) to add more.<\/li>\n<\/ul>\n\n\n\n

          \u26a0\ufe0f The key points are impossible as soon as a factor is categorical<\/strong> : A central point fixes all factors at their intermediate levels, but a categorical factor does not have one. The step-by-step feature is then disabled, with an explanation provided in a tooltip. This is not an interface limitation: such an attempt would render the design unreadable.<\/p>\n\n\n\n

          5. A detailed map<\/h2>\n\n\n\n

          One click opens a sidebar that contains:<\/p>\n\n\n\n

            \n
          • Visit\u00a0test matrix<\/strong>\u00a0in actual values, using the \u00abCreate Design of Experiments\u00bb button\u2014the same component and the same behavior as on the other pages; ; <\/li>\n\n\n\n
          • Visit\u00a0raw metrics<\/strong>\u00a0: variance of linear effects, variance of quadratic terms, maximum second-order correlation, zeros per column, origin of the plane, catalog ID, and academic reference; ; <\/li>\n\n\n\n
          • Visit\u00a0Correlation map of the second-order model<\/strong>\u00a0: main effects, followed by the squares of the three-level factors, followed by interactions.<\/li>\n<\/ul>\n\n\n\n
            \"\"<\/figure>\n\n\n\n
            \"\"<\/figure>\n\n\n\n

            \ud83d\udca1 This correlation chart is the central point of the page, and it takes just a second to read: \u00abThe boxed section shows the main effects:\u00a0It must remain white outside the diagonal<\/strong>. \u00bbThis is visual proof that your results are estimated without second-order contamination, something that no conventional fractional table of comparable size can guarantee.\".<\/p>\n\n\n\n

            6. Custom Generation<\/h2>\n\n\n\n

            When no certified plan exists at the desired size, the gray dot on the border triggers a optimizer<\/strong> who is constructing one. A progress bar appears, which can be canceled; the resulting map is added to the border in blue and remains saved in the experiment map.<\/p>","protected":false},"featured_media":0,"menu_order":90,"template":"","meta":{"_acf_changed":true},"menu-guide-dutilisateur":[24],"class_list":["post-4660","guide-dutilisateur","type-guide-dutilisateur","status-publish","hentry","menu-guide-dutilisateur-7-doe-plans-dexperiences"],"acf":[],"yoast_head":"\nSmart DOE - Ellistat<\/title>\n<meta name=\"description\" content=\"Choisissez le nombre d'essais sur une courbe qualit\u00e9\/co\u00fbt, avec des plans certifi\u00e9s orthogonaux issus des derni\u00e8res publications acad\u00e9miques en plans d'exp\u00e9riences.\" \/>\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\/smart-doe\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Smart DOE - Ellistat\" \/>\n<meta property=\"og:description\" content=\"Choisissez le nombre d'essais sur une courbe qualit\u00e9\/co\u00fbt, avec des plans certifi\u00e9s orthogonaux issus des derni\u00e8res publications acad\u00e9miques en plans d'exp\u00e9riences.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/ellistat.com\/en\/users-guide\/smart-doe\/\" \/>\n<meta property=\"og:site_name\" content=\"Ellistat\" \/>\n<meta property=\"og:image\" content=\"https:\/\/ellistat.com\/wp-content\/uploads\/smartDOE.png\" \/>\n\t<meta property=\"og:image:width\" content=\"644\" \/>\n\t<meta property=\"og:image:height\" content=\"408\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data1\" content=\"5 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\\\/\\\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\\\/\\\/ellistat.com\\\/guide-dutilisateur\\\/smart-doe\\\/\",\"url\":\"https:\\\/\\\/ellistat.com\\\/guide-dutilisateur\\\/smart-doe\\\/\",\"name\":\"Smart DOE - Ellistat\",\"isPartOf\":{\"@id\":\"https:\\\/\\\/ellistat.com\\\/#website\"},\"primaryImageOfPage\":{\"@id\":\"https:\\\/\\\/ellistat.com\\\/guide-dutilisateur\\\/smart-doe\\\/#primaryimage\"},\"image\":{\"@id\":\"https:\\\/\\\/ellistat.com\\\/guide-dutilisateur\\\/smart-doe\\\/#primaryimage\"},\"thumbnailUrl\":\"https:\\\/\\\/ellistat.com\\\/wp-content\\\/uploads\\\/smartDOE.png\",\"datePublished\":\"2026-08-12T14:59:47+00:00\",\"description\":\"Choisissez le nombre d'essais sur une courbe qualit\u00e9\\\/co\u00fbt, avec des plans certifi\u00e9s orthogonaux issus des derni\u00e8res publications acad\u00e9miques en plans d'exp\u00e9riences.\",\"breadcrumb\":{\"@id\":\"https:\\\/\\\/ellistat.com\\\/guide-dutilisateur\\\/smart-doe\\\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\\\/\\\/ellistat.com\\\/guide-dutilisateur\\\/smart-doe\\\/\"]}]},{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\\\/\\\/ellistat.com\\\/guide-dutilisateur\\\/smart-doe\\\/#primaryimage\",\"url\":\"https:\\\/\\\/ellistat.com\\\/wp-content\\\/uploads\\\/smartDOE.png\",\"contentUrl\":\"https:\\\/\\\/ellistat.com\\\/wp-content\\\/uploads\\\/smartDOE.png\"},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\\\/\\\/ellistat.com\\\/guide-dutilisateur\\\/smart-doe\\\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\\\/\\\/ellistat.com\\\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Smart DOE\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\\\/\\\/ellistat.com\\\/#website\",\"url\":\"https:\\\/\\\/ellistat.com\\\/\",\"name\":\"Ellistat\",\"description\":\"La suite qualit\u00e9 de l'industrie m\u00e9canique\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\\\/\\\/ellistat.com\\\/?s={search_term_string}\"},\"query-input\":{\"@type\":\"PropertyValueSpecification\",\"valueRequired\":true,\"valueName\":\"search_term_string\"}}],\"inLanguage\":\"en-US\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Smart DOE - Ellistat","description":"Select the number of trials on a quality-cost curve, using certified orthogonal designs based on the latest academic publications in experimental design.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/ellistat.com\/en\/users-guide\/smart-doe\/","og_locale":"en_US","og_type":"article","og_title":"Smart DOE - Ellistat","og_description":"Choisissez le nombre d'essais sur une courbe qualit\u00e9\/co\u00fbt, avec des plans certifi\u00e9s orthogonaux issus des derni\u00e8res publications acad\u00e9miques en plans d'exp\u00e9riences.","og_url":"https:\/\/ellistat.com\/en\/users-guide\/smart-doe\/","og_site_name":"Ellistat","og_image":[{"width":644,"height":408,"url":"https:\/\/ellistat.com\/wp-content\/uploads\/smartDOE.png","type":"image\/png"}],"twitter_card":"summary_large_image","twitter_misc":{"Est. reading time":"5 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/ellistat.com\/guide-dutilisateur\/smart-doe\/","url":"https:\/\/ellistat.com\/guide-dutilisateur\/smart-doe\/","name":"Smart DOE - Ellistat","isPartOf":{"@id":"https:\/\/ellistat.com\/#website"},"primaryImageOfPage":{"@id":"https:\/\/ellistat.com\/guide-dutilisateur\/smart-doe\/#primaryimage"},"image":{"@id":"https:\/\/ellistat.com\/guide-dutilisateur\/smart-doe\/#primaryimage"},"thumbnailUrl":"https:\/\/ellistat.com\/wp-content\/uploads\/smartDOE.png","datePublished":"2026-08-12T14:59:47+00:00","description":"Select the number of trials on a quality-cost curve, using certified orthogonal designs based on the latest academic publications in experimental design.","breadcrumb":{"@id":"https:\/\/ellistat.com\/guide-dutilisateur\/smart-doe\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/ellistat.com\/guide-dutilisateur\/smart-doe\/"]}]},{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/ellistat.com\/guide-dutilisateur\/smart-doe\/#primaryimage","url":"https:\/\/ellistat.com\/wp-content\/uploads\/smartDOE.png","contentUrl":"https:\/\/ellistat.com\/wp-content\/uploads\/smartDOE.png"},{"@type":"BreadcrumbList","@id":"https:\/\/ellistat.com\/guide-dutilisateur\/smart-doe\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Accueil","item":"https:\/\/ellistat.com\/"},{"@type":"ListItem","position":2,"name":"Smart DOE"}]},{"@type":"WebSite","@id":"https:\/\/ellistat.com\/#website","url":"https:\/\/ellistat.com\/","name":"Ellistat","description":"The quality suite for the mechanical engineering industry","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/ellistat.com\/?s={search_term_string}"},"query-input":{"@type":"PropertyValueSpecification","valueRequired":true,"valueName":"search_term_string"}}],"inLanguage":"en-US"}]}},"_links":{"self":[{"href":"https:\/\/ellistat.com\/en\/wp-json\/wp\/v2\/guide-dutilisateur\/4660","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ellistat.com\/en\/wp-json\/wp\/v2\/guide-dutilisateur"}],"about":[{"href":"https:\/\/ellistat.com\/en\/wp-json\/wp\/v2\/types\/guide-dutilisateur"}],"wp:attachment":[{"href":"https:\/\/ellistat.com\/en\/wp-json\/wp\/v2\/media?parent=4660"}],"wp:term":[{"taxonomy":"menu-guide-dutilisateur","embeddable":true,"href":"https:\/\/ellistat.com\/en\/wp-json\/wp\/v2\/menu-guide-dutilisateur?post=4660"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}