{"id":20514,"date":"2025-09-23T10:45:15","date_gmt":"2025-09-23T08:45:15","guid":{"rendered":"https:\/\/e-opex.pl\/?p=20514"},"modified":"2025-10-20T14:46:43","modified_gmt":"2025-10-20T12:46:43","slug":"full-factorial-design-doe-a-mathematical-model-describing-the-effect-of-tested-factor-settings-on-humidity-part-3","status":"publish","type":"post","link":"https:\/\/e-opex.pl\/en\/full-factorial-design-doe-a-mathematical-model-describing-the-effect-of-tested-factor-settings-on-humidity-part-3\/","title":{"rendered":"Full Factorial Design, Design of Experiments, DOE  \u2013 a mathematical model describing the effect of tested factor settings on humidity PART 3\/4"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"20514\" class=\"elementor elementor-20514\">\n\t\t\t\t<div class=\"elementor-element elementor-element-2a7639f e-flex e-con-boxed e-con e-parent \" data-id=\"2a7639f\" data-element_type=\"container\" data-e-type=\"container\">\t\t\t<div class=\"e-con-inner\">\r\n\t\t\t\t<div class=\"elementor-element elementor-element-b6ec31d animated-slow elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"b6ec31d\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeIn&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Below you will find the earlier parts of this article:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t<div class=\"elementor-element elementor-element-66c24c5 e-con-full e-flex e-con e-child \" data-id=\"66c24c5\" data-element_type=\"container\" data-e-type=\"container\">\t\t<div class=\"elementor-element elementor-element-0a39a81 elementor-widget elementor-widget-pxl_button\" data-id=\"0a39a81\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"pxl_button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"pxl-pxl_button-0a39a81-4474\" class=\"pxl-button pxl-atc-link \" data-wow-delay=\"ms\">\r\n    <a href=\"https:\/\/e-opex.pl\/en\/full-factorial-design-doe-design-and-effect-estimation\/\" class=\"btn pxl-icon-active  btn-default  inline pxl-icon--right\" data-wow-delay=\"ms\" data-target=\".pxl-page-popup-template-0\">\r\n        <i aria-hidden=\"true\" class=\"flaticon flaticon-right-arrow\"><\/i>        <span class=\"pxl--btn-text\" data-text=\"PART 1\">\r\n            PART 1        <\/span>\r\n            <\/a>\r\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6aa2358 elementor-widget elementor-widget-pxl_button\" data-id=\"6aa2358\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"pxl_button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"pxl-pxl_button-6aa2358-8038\" class=\"pxl-button pxl-atc-link \" data-wow-delay=\"ms\">\r\n    <a href=\"https:\/\/e-opex.pl\/en\/full-factorial-design-doe-design-and-estimating-effect-sizes-part-2\/\" class=\"btn pxl-icon-active  btn-default  inline pxl-icon--right\" data-wow-delay=\"ms\" data-target=\".pxl-page-popup-template-0\">\r\n        <i aria-hidden=\"true\" class=\"flaticon flaticon-right-arrow\"><\/i>        <span class=\"pxl--btn-text\" data-text=\"PART 2\">\r\n            PART 2        <\/span>\r\n            <\/a>\r\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\r\n\t\t\t\t<div class=\"elementor-element elementor-element-b18fb72 elementor-widget elementor-widget-pxl_heading\" data-id=\"b18fb72\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"pxl_heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\n<div id=\"pxl-pxl_heading-b18fb72-5987\" class=\"pxl-heading px-sub-title-default-style \">\n\t<div class=\"pxl-heading--inner\">\n\t\t\n\t\t<h3 class=\"pxl-item--title style-default  highlight-default pxl-split-text split-in-fade\" data-wow-delay=\"ms\">\n\t\t\t\t\t\t\tMathematical model describing the influence of tested factor settings on humidity\t\n\t\t\t\t\n\t\t<\/h3>\n\t\t\n\t<\/div>\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-7759eca animated-slow elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"7759eca\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeIn&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>In our example, we consider the effects of factors A, B, and C, as well as the A*B interaction, to be important. From these effects, we will construct an equation that will show the humidity level achieved for different settings of these three factors.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5b405b4 elementor-widget elementor-widget-image\" data-id=\"5b405b4\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-model-EN-1.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"wzory DOE model EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MjA1NjQsInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA5XC93em9yeS1ET0UtbW9kZWwtRU4tMS5qcGcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"487\" height=\"315\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-model-EN-1.jpg\" class=\"attachment-full size-full wp-image-20564\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-model-EN-1.jpg 487w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-model-EN-1-300x194.jpg 300w\" sizes=\"(max-width: 487px) 100vw, 487px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-667f9ec elementor-widget elementor-widget-image\" data-id=\"667f9ec\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/main-effect-EN.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"main effect EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MjA1MjcsInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA5XC9tYWluLWVmZmVjdC1FTi5qcGcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img decoding=\"async\" width=\"1151\" height=\"630\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/main-effect-EN.jpg\" class=\"attachment-full size-full wp-image-20527\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/main-effect-EN.jpg 1151w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/main-effect-EN-300x164.jpg 300w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/main-effect-EN-1024x560.jpg 1024w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/main-effect-EN-768x420.jpg 768w\" sizes=\"(max-width: 1151px) 100vw, 1151px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-b44b030 animated-slow elementor-invisible elementor-widget elementor-widget-text-editor\" data-id=\"b44b030\" data-element_type=\"widget\" data-e-type=\"widget\" data-settings=\"{&quot;_animation&quot;:&quot;fadeIn&quot;}\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\tIn experiment 2<sup>3<\/sup>=8, each factor is tested four times at its -1 level and four times at its +1 level. Therefore, each factor is measured at the same mean. This mean is designated \u03b2<sub>0<\/sub> in the prediction equation. \u03b2<sub>0<\/sub> is the starting point for how humidity will change depending on how we set factors A, B, and C. Depending on the magnitude of these factors&#8217; effects, their impact on humidity change relative to \u03b2<sub>0<\/sub> will vary. This impact is measured by \u03b2<sub>A<\/sub>, \u03b2<sub>B<\/sub>, and \u03b2<sub>C<\/sub>, respectively. For example, if we set each factor exactly midway between the tested levels (level designated 0), humidity would equal \u03b2<sub>0<\/sub>.\n\nThe beta coefficients calculated for all effects are included in the table below:\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8ab4661 elementor-widget elementor-widget-image\" data-id=\"8ab4661\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/beta-EN.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"beta EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MjA1MzIsInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA5XC9iZXRhLUVOLmpwZyJ9\">\n\t\t\t\t\t\t\t<img decoding=\"async\" width=\"641\" height=\"389\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/beta-EN.jpg\" class=\"attachment-full size-full wp-image-20532\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/beta-EN.jpg 641w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/beta-EN-300x182.jpg 300w\" sizes=\"(max-width: 641px) 100vw, 641px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-8107ac5 elementor-widget elementor-widget-text-editor\" data-id=\"8107ac5\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><em>Kliknij, aby powi\u0119kszy\u0107<\/em><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ec52138 elementor-widget elementor-widget-text-editor\" data-id=\"ec52138\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>The equation showing what the moisture of the powder at the outlet of the dryer will be, after taking into account significant factors, looks as follows:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-fafdeee elementor-widget elementor-widget-image\" data-id=\"fafdeee\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-1-model-EN.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"wzory DOE 1 model EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MjA1NjIsInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA5XC93em9yeS1ET0UtMS1tb2RlbC1FTi5qcGcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"463\" height=\"83\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-1-model-EN.jpg\" class=\"attachment-full size-full wp-image-20562\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-1-model-EN.jpg 463w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-1-model-EN-300x54.jpg 300w\" sizes=\"(max-width: 463px) 100vw, 463px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-d23d571 elementor-widget elementor-widget-text-editor\" data-id=\"d23d571\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>To predict humidity, replace A, B, and C with the levels of these factors you want to predict. How does this work? Let&#8217;s calculate the humidity when:<\/p><p>A: Temperature 1 = 45\u00b0C<br \/>B: Temperature 2 = 37.5\u00b0C<br \/>C: Water Dose = 55%<\/p><p>We don&#8217;t enter actual values \u200b\u200binto the equation, but encode them in a range from -1 to 1, using the testing levels used in the DOE.<\/p><p>Factor A: Temperature 1, in the DOE, was tested at -1 = 30\u00b0C and +1 = 60\u00b0C. 45\u00b0C is halfway between -1 and +1, meaning it&#8217;s 0 on this scale.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-85fad9e elementor-widget elementor-widget-image\" data-id=\"85fad9e\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp1-EN.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"temp1 EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MjA1MzksInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA5XC90ZW1wMS1FTi5qcGcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"417\" height=\"185\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp1-EN.jpg\" class=\"attachment-full size-full wp-image-20539\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp1-EN.jpg 417w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp1-EN-300x133.jpg 300w\" sizes=\"(max-width: 417px) 100vw, 417px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-39e23f0 elementor-widget elementor-widget-text-editor\" data-id=\"39e23f0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><em>Kliknij, aby powi\u0119kszy\u0107<\/em><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-484e9b1 elementor-widget elementor-widget-text-editor\" data-id=\"484e9b1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Factor B: temperature 2, was tested at -1 = 30\u00b0 and +1 = 60o. 37.5\u00b0 is 1\/4 of the distance between -1 and +1, so it is -0.5 on this scale.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-ac18804 elementor-widget elementor-widget-image\" data-id=\"ac18804\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp2-EN.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"temp2 EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MjA1MzcsInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA5XC90ZW1wMi1FTi5qcGcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"406\" height=\"185\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp2-EN.jpg\" class=\"attachment-full size-full wp-image-20537\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp2-EN.jpg 406w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp2-EN-300x137.jpg 300w\" sizes=\"(max-width: 406px) 100vw, 406px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-03f6751 elementor-widget elementor-widget-text-editor\" data-id=\"03f6751\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><em>Kliknij, aby powi\u0119kszy\u0107<\/em><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6caa85d elementor-widget elementor-widget-text-editor\" data-id=\"6caa85d\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Factor C: water dose, was tested at -1 = 40% and +1 = 60%, 55% is in 3\/4 of the distance between -1 and +1, i.e. it is 0.5 on this scale.<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-01907f1 elementor-widget elementor-widget-image\" data-id=\"01907f1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp3-EN.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"temp3 EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MjA1MzUsInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA5XC90ZW1wMy1FTi5qcGcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"411\" height=\"197\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp3-EN.jpg\" class=\"attachment-large size-large wp-image-20535\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp3-EN.jpg 411w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/temp3-EN-300x144.jpg 300w\" sizes=\"(max-width: 411px) 100vw, 411px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-81500a1 elementor-widget elementor-widget-text-editor\" data-id=\"81500a1\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p><em>Kliknij, aby powi\u0119kszy\u0107<\/em><\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9aac9fc elementor-widget elementor-widget-text-editor\" data-id=\"9aac9fc\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>Therefore:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-cbd91f0 elementor-widget elementor-widget-image\" data-id=\"cbd91f0\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-2-model-EN.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"wzory DOE 2 model EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MjA1NjAsInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA5XC93em9yeS1ET0UtMi1tb2RlbC1FTi5qcGcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"477\" height=\"83\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-2-model-EN.jpg\" class=\"attachment-large size-large wp-image-20560\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-2-model-EN.jpg 477w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-2-model-EN-300x52.jpg 300w\" sizes=\"(max-width: 477px) 100vw, 477px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-c11511c elementor-widget elementor-widget-text-editor\" data-id=\"c11511c\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>For:<\/p><ul><li>A = 0<\/li><li>B= -0,5<\/li><li>C= 0,5<\/li><li>A*B = 0 * &#8211; 0,5 = 0<\/li><\/ul>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3a631e8 elementor-widget elementor-widget-image\" data-id=\"3a631e8\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"image.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<a href=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-3-model-EN.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"wzory DOE 3 model EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MjA1NTgsInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA5XC93em9yeS1ET0UtMy1tb2RlbC1FTi5qcGcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"486\" height=\"83\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-3-model-EN.jpg\" class=\"attachment-large size-large wp-image-20558\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-3-model-EN.jpg 486w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/09\/wzory-DOE-3-model-EN-300x51.jpg 300w\" sizes=\"(max-width: 486px) 100vw, 486px\" \/>\t\t\t\t\t\t\t\t<\/a>\n\t\t\t\t\t\t\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-86a0b43 elementor-widget elementor-widget-text-editor\" data-id=\"86a0b43\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t\t<p>The ending of this story is in part four which you will find below:<\/p>\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-31d8005 elementor-widget elementor-widget-pxl_button\" data-id=\"31d8005\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"pxl_button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"pxl-pxl_button-31d8005-2027\" class=\"pxl-button pxl-atc-link \" data-wow-delay=\"ms\">\r\n    <a href=\"https:\/\/e-opex.pl\/en\/full-factorial-experiment-doe-experiment-planning-how-to-verify-model-quality-part-4-4\/\" class=\"btn pxl-icon-active  btn-default  inline pxl-icon--right\" data-wow-delay=\"ms\" data-target=\".pxl-page-popup-template-0\">\r\n        <i aria-hidden=\"true\" class=\"flaticon flaticon-right-arrow\"><\/i>        <span class=\"pxl--btn-text\" data-text=\"PART 4\">\r\n            PART 4        <\/span>\r\n            <\/a>\r\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-560cc86 elementor-widget elementor-widget-pxl_button\" data-id=\"560cc86\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"pxl_button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div id=\"pxl-pxl_button-560cc86-5071\" class=\"pxl-button pxl-atc-link \" data-wow-delay=\"ms\">\r\n    <a href=\"https:\/\/www.linkedin.com\/company\/opex-group-wroclaw\/\" class=\"btn pxl-icon-active  btn-default  inline pxl-icon--left\" data-wow-delay=\"ms\" data-target=\".pxl-page-popup-template-0\">\r\n        <i aria-hidden=\"true\" class=\"bootstrap-icons bi-linkedin\"><\/i>        <span class=\"pxl--btn-text\" data-text=\"LinkedIn\">\r\n            LinkedIn        <\/span>\r\n            <\/a>\r\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9366889 elementor-widget elementor-widget-pxl_heading\" data-id=\"9366889\" data-element_type=\"widget\" data-e-type=\"widget\" data-widget_type=\"pxl_heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\n<div id=\"pxl-pxl_heading-9366889-5844\" class=\"pxl-heading px-sub-title-default-style \">\n\t<div class=\"pxl-heading--inner\">\n\t\t\n\t\t<h3 class=\"pxl-item--title style-default  highlight-default \" data-wow-delay=\"ms\">\n\t\t\t\t\t\t\tAuthor: Katarzyna Kornicka i Wojciech Florek, OpEx Six Sigma Master Black Belts\t\n\t\t\t\t\n\t\t<\/h3>\n\t\t\n\t<\/div>\n<\/div>\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\r\n\t\t\t\t<\/div>\n\t\t","protected":false},"excerpt":{"rendered":"<p>Below you will find the earlier parts of this article: PART 1 PART 2 Mathematical model describing the influence of tested factor settings on humidity In our example, we consider the effects of factors A, B, and C, as well as the A*B interaction, to be important. From these effects, we will construct an equation [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"inline_featured_image":false,"footnotes":""},"categories":[104,105],"tags":[],"class_list":["post-20514","post","type-post","status-publish","format-standard","hentry","category-opex-stories","category-six-sigma-en"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v27.6 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Full Factorial Design, Design of Experiments, DOE \u2013 a mathematical model describing the effect of tested factor settings on humidity PART 3\/4 - OpEx Group<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/e-opex.pl\/en\/full-factorial-design-doe-a-mathematical-model-describing-the-effect-of-tested-factor-settings-on-humidity-part-3\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Full Factorial Design, Design of Experiments, DOE \u2013 a mathematical model describing the effect of tested factor settings on humidity PART 3\/4 - OpEx Group\" \/>\n<meta property=\"og:description\" content=\"Below you will find the earlier parts of this article: PART 1 PART 2 Mathematical model describing the influence of tested factor settings on humidity In our example, we consider the effects of factors A, B, and C, as well as the A*B interaction, to be important. 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