{"id":19533,"date":"2025-07-22T14:47:15","date_gmt":"2025-07-22T12:47:15","guid":{"rendered":"https:\/\/e-opex.pl\/?p=19533"},"modified":"2025-10-20T15:03:55","modified_gmt":"2025-10-20T13:03:55","slug":"an-example-of-doe-in-the-weight-loss-process","status":"publish","type":"post","link":"https:\/\/e-opex.pl\/en\/an-example-of-doe-in-the-weight-loss-process\/","title":{"rendered":"Fractional Factorial Design &#8211; example: DoE  in the weight loss process PART 1\/2"},"content":{"rendered":"\t\t<div data-elementor-type=\"wp-post\" data-elementor-id=\"19533\" class=\"elementor elementor-19533\">\n\t\t\t\t<div class=\"elementor-element elementor-element-5c34a43 e-flex e-con-boxed e-con e-parent \" data-id=\"5c34a43\" data-element_type=\"container\">\t\t\t<div class=\"e-con-inner\">\r\n\t\t\t\t<div class=\"elementor-element elementor-element-e9125f9 elementor-widget elementor-widget-text-editor\" data-id=\"e9125f9\" data-element_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>Our friend Adam is 45 years old, in good physical shape, and has no health problems. His primary activity is cycling \u2013 about 150 minutes a week at a moderate pace. At 185 cm tall, he weighed 87 kg, which is considered overweight, so Adam decided to lose weight. During a visit to a dietitian, he learned that reducing his calorie intake would be crucial. Reducing his daily intake by 400 kcal should result in an average weight loss of about 0.5 kg per week.<\/p><p><strong>The aim of the experiment was to test whether additional factors often considered to aid weight loss could actually accelerate Adam&#8217;s weight loss.<\/strong> The factors to be tested are presented in the prediction table 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-f10fa82 elementor-widget elementor-widget-image\" data-id=\"f10fa82\" data-element_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\/07\/tabela-2-EN.png\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"tabela 2 EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MjAwOTQsInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA3XC90YWJlbGEtMi1FTi5wbmcifQ%3D%3D\">\n\t\t\t\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"535\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-2-EN-1024x535.png\" class=\"attachment-large size-large wp-image-20094\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-2-EN-1024x535.png 1024w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-2-EN-300x157.png 300w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-2-EN-768x401.png 768w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-2-EN-1170x611.png 1170w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-2-EN.png 1385w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\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-fd591b4 elementor-widget elementor-widget-text-editor\" data-id=\"fd591b4\" data-element_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>Click on image to enlarge it<\/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-5f0bc66 elementor-widget elementor-widget-text-editor\" data-id=\"5f0bc66\" data-element_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 test eight factors at two levels, we used a fractional experiment (2<sub>IV<\/sub><sup>^8-4<\/sup>=16 runs). The entire experiment lasted 16 weeks \u2013 each week was one run.<\/p><p>Adam always weighed himself on Monday mornings, and the main outcome measured during this DOE was weight loss in kilograms compared to the previous week. Throughout the entire experiment, Adam maintained a calorie deficit (\u2013400 kcal per day) and drank approximately 3 liters of water each day. A detailed experimental design is presented in the DOE matrix 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-94330fa elementor-widget elementor-widget-image\" data-id=\"94330fa\" data-element_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\/07\/tabela-EN.jpg\" data-elementor-open-lightbox=\"yes\" data-elementor-lightbox-title=\"tabela EN\" data-e-action-hash=\"#elementor-action%3Aaction%3Dlightbox%26settings%3DeyJpZCI6MTkzNTIsInVybCI6Imh0dHBzOlwvXC9lLW9wZXgucGxcL3dwLWNvbnRlbnRcL3VwbG9hZHNcLzIwMjVcLzA3XC90YWJlbGEtRU4uanBnIn0%3D\">\n\t\t\t\t\t\t\t<img decoding=\"async\" width=\"1024\" height=\"279\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-EN-1024x279.jpg\" class=\"attachment-large size-large wp-image-19352\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-EN-1024x279.jpg 1024w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-EN-300x82.jpg 300w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-EN-768x210.jpg 768w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-EN-1536x419.jpg 1536w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-EN-1170x319.jpg 1170w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-EN.jpg 1656w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\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-16c8b97 elementor-widget elementor-widget-text-editor\" data-id=\"16c8b97\" data-element_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>Click on image to enlarge it<\/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-c64efec elementor-widget elementor-widget-pxl_heading\" data-id=\"c64efec\" data-element_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-c64efec-9092\" 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\tEXPERIMENT ANALYSIS\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-24ceec1 elementor-widget elementor-widget-text-editor\" data-id=\"24ceec1\" data-element_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>We will begin the analysis with a practical look at the data.<\/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-235c850 elementor-widget elementor-widget-image\" data-id=\"235c850\" data-element_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<img decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/1-1024x683.jpg\" class=\"attachment-large size-large wp-image-19320\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/1-1024x683.jpg 1024w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/1-300x200.jpg 300w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/1-768x512.jpg 768w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/1-1065x710.jpg 1065w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/1.jpg 1152w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\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-3c571bd elementor-widget elementor-widget-text-editor\" data-id=\"3c571bd\" data-element_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>During the experiment, Adam lost between 0.3 and 1.6 kg (1.7 to 3.3 lbs) per week. The projected weight loss, thanks to maintaining a calorie deficit, was approximately 0.5 kg (1.1 lbs) per week. The significant variation in the results, sometimes significantly exceeding the predicted weight loss, indicates that the tested factors influenced the rate of weight loss.<\/p><p><strong>There is no apparent relationship between the passage of time and Adam&#8217;s weight loss \u2013 weeks with large and small weight loss occurred randomly.<\/strong> This indicates that the variation in this DOE was caused by the tested factors and not by anything that changed over the 16 weeks of the experiment.<\/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-71d6dd7 elementor-widget elementor-widget-image\" data-id=\"71d6dd7\" data-element_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<img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/2-1-1024x683.jpg\" class=\"attachment-large size-large wp-image-19321\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/2-1-1024x683.jpg 1024w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/2-1-300x200.jpg 300w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/2-1-768x512.jpg 768w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/2-1-1065x710.jpg 1065w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/2-1.jpg 1152w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\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-fe005b6 elementor-widget elementor-widget-text-editor\" data-id=\"fe005b6\" data-element_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>Plotting the DOE results sorted from minimum to maximum, we observe a steady decline in Adam&#8217;s weight. The lack of points with significant positive or negative deviations indicates that the variation in this experiment was created by the factors tested at the given levels \u2013 no special cause variation occurred during the DOE.<\/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-d58d33f elementor-widget elementor-widget-image\" data-id=\"d58d33f\" data-element_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<img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/3-1-1024x683.jpg\" class=\"attachment-large size-large wp-image-19322\" alt=\"\" srcset=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/3-1-1024x683.jpg 1024w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/3-1-300x200.jpg 300w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/3-1-768x512.jpg 768w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/3-1-1065x710.jpg 1065w, https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/3-1.jpg 1152w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/>\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-74058b2 elementor-widget elementor-widget-text-editor\" data-id=\"74058b2\" data-element_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>Adam, who weighed 87 kg before the experiment, reached 74.6 kg after 16 weeks. This weight loss was achieved both by reducing his calorie intake and by using some of the factors tested in this DOE.\u00a0<\/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-5054410 elementor-widget elementor-widget-text-editor\" data-id=\"5054410\" data-element_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>This concludes today&#8217;s OpEx story. In the next part, we&#8217;ll learn how other factors influenced Adam&#8217;s weight loss journey.<\/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-570e17d elementor-widget elementor-widget-pxl_button\" data-id=\"570e17d\" data-element_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-570e17d-8976\" class=\"pxl-button pxl-atc-link \" data-wow-delay=\"ms\">\r\n    <a href=\"https:\/\/e-opex.pl\/en\/an-example-of-doe-in-the-weight-loss-process-part-two\/\" 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 class=\"elementor-element elementor-element-1559335 elementor-widget elementor-widget-text-editor\" data-id=\"1559335\" data-element_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>Have questions, thoughts, or something that particularly piques your interest? Join the discussion below on our LinkedIn post. Follow us to stay up to date.<\/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-cee9a6e elementor-widget elementor-widget-pxl_button\" data-id=\"cee9a6e\" data-element_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-cee9a6e-6829\" 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=\"Go to LinkedIn\">\r\n            Go to 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-5c51b38 elementor-widget elementor-widget-pxl_heading\" data-id=\"5c51b38\" data-element_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-5c51b38-8901\" 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\tAuthors: 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>Our friend Adam is 45 years old, in good physical shape, and has no health problems. His primary activity is cycling \u2013 about 150 minutes a week at a moderate pace. At 185 cm tall, he weighed 87 kg, which is considered overweight, so Adam decided to lose weight. During a visit to a dietitian, [&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],"tags":[],"class_list":["post-19533","post","type-post","status-publish","format-standard","hentry","category-opex-stories"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.8 - https:\/\/yoast.com\/product\/yoast-seo-wordpress\/ -->\n<title>Fractional Factorial Design - example: DoE in the weight loss process PART 1\/2 - 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\/an-example-of-doe-in-the-weight-loss-process\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Fractional Factorial Design - example: DoE in the weight loss process PART 1\/2 - OpEx Group\" \/>\n<meta property=\"og:description\" content=\"Our friend Adam is 45 years old, in good physical shape, and has no health problems. His primary activity is cycling \u2013 about 150 minutes a week at a moderate pace. At 185 cm tall, he weighed 87 kg, which is considered overweight, so Adam decided to lose weight. During a visit to a dietitian, [&hellip;]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/e-opex.pl\/en\/an-example-of-doe-in-the-weight-loss-process\/\" \/>\n<meta property=\"og:site_name\" content=\"OpEx Group\" \/>\n<meta property=\"article:published_time\" content=\"2025-07-22T12:47:15+00:00\" \/>\n<meta property=\"article:modified_time\" content=\"2025-10-20T13:03:55+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/e-opex.pl\/wp-content\/uploads\/2025\/07\/tabela-2-EN.png\" \/>\n\t<meta property=\"og:image:width\" content=\"1385\" \/>\n\t<meta property=\"og:image:height\" content=\"723\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"kordas\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"kordas\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"Article\",\"@id\":\"https:\/\/e-opex.pl\/en\/an-example-of-doe-in-the-weight-loss-process\/#article\",\"isPartOf\":{\"@id\":\"https:\/\/e-opex.pl\/en\/an-example-of-doe-in-the-weight-loss-process\/\"},\"author\":{\"name\":\"kordas\",\"@id\":\"https:\/\/e-opex.pl\/#\/schema\/person\/b52405fe7195886d07706cdda314130c\"},\"headline\":\"Fractional Factorial Design &#8211; 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