{"id":4675,"date":"2026-08-12T17:00:40","date_gmt":"2026-08-12T15:00:40","guid":{"rendered":"https:\/\/ellistat.com\/?post_type=guide-dutilisateur&#038;p=4675"},"modified":"2026-08-12T17:00:40","modified_gmt":"2026-08-12T15:00:40","slug":"appendix-definitions","status":"publish","type":"guide-dutilisateur","link":"https:\/\/ellistat.com\/en\/guide-dutilisateur\/annexe-definition\/","title":{"rendered":"Appendix: Definition"},"content":{"rendered":"<ul class=\"wp-block-list\">\n<li><strong>Factor (X)<\/strong>\u00a0: a variable that is controlled in the experiment. <\/li>\n\n\n\n<li><strong>Level<\/strong>\u00a0: the value assigned to a factor in an experiment. <\/li>\n\n\n\n<li><strong>Essay<\/strong>: a line on the plan, meaning a combination of levels to be built. <\/li>\n\n\n\n<li><strong>Interaction<\/strong>\u00a0: The effect of one factor depends on the level of another. This cannot be inferred from any factor-by-factor analysis. <\/li>\n\n\n\n<li><strong>Alias<\/strong>\u00a0: two effects that are confounded by the design of the study\u2014there is nothing in the data to distinguish between them. <\/li>\n\n\n\n<li><strong>Resolution<\/strong>\u00a0: Severity of aliases. III = main effects confounded with interactions; IV = unconfounded main effects; V and higher = negligible confounding. <\/li>\n\n\n\n<li><strong>Orthogonality<\/strong>\u00a0: There is no correlation between two columns in the design; their effects are estimated independently. <\/li>\n\n\n\n<li><strong>Central Point<\/strong>\u00a0: Test in the middle of the range for all factors. Measures repeatability and reveals curvature. <\/li>\n\n\n\n<li><strong>Replication<\/strong>\u00a0: Revise the plan to remove the aliases, even if it means doubling the number of tests. <\/li>\n\n\n\n<li><strong>Degrees of freedom (DOF)<\/strong>\u00a0: Number of coefficients to be estimated. Lower bound on the number of trials. <\/li>\n\n\n\n<li><strong>Complete Map<\/strong>\u00a0: all combinations of levels. No aliases, maximum cost. <\/li>\n\n\n\n<li><strong>Fractional Plan<\/strong>\u00a0: a selected portion of the complete plan. Fewer trials, or in other words, as a trade-off. <\/li>\n\n\n\n<li><strong>DSD (Definitive Screening Design)<\/strong>\u00a0: a 3-level screening plan that partially detects curvature without confusing the main effects with the interactions. <\/li>\n\n\n\n<li><strong>Response surface methodology (RSM)<\/strong>\u00a0: a complete quadratic model\u2014linear, interactions, squares\u2014used to locate an optimum. <\/li>\n\n\n\n<li><strong>Cube-to-Sphere Ratio (\u03b1)<\/strong>\u00a0: distance between the star points of a composite plane, in coded units. <\/li>\n\n\n\n<li><strong>Filling plan<\/strong>\u00a0: a plan aimed at achieving uniform coverage of the space, without assuming any specific model. <\/li>\n\n\n\n<li><strong>Audze-Eglais<\/strong>\u00a0: criterion for filling the space; the lower the value, the better. <\/li>\n\n\n\n<li><strong>MaxPro<\/strong>\u00a0: criterion for filling in projections; useful when only a few factors are actually active. <\/li>\n\n\n\n<li><strong>D-optimality<\/strong>\u00a0: a criterion for selecting a subset of tests that maximizes the determinant of the information matrix for a given model. <\/li>\n\n\n\n<li><strong>Certified Plan (Smart DOE)<\/strong>\u00a0: a design for which the orthogonality of the main effects and the absence of aliasing with the second order are mathematically proven and rechecked with each delivery.<\/li>\n<\/ul>","protected":false},"featured_media":0,"menu_order":140,"template":"","meta":{"_acf_changed":true},"menu-guide-dutilisateur":[24],"class_list":["post-4675","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 - 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