{"id":767,"date":"2023-03-08T17:54:13","date_gmt":"2023-03-08T17:54:13","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/advanced-experimental-design-learn-it-3\/"},"modified":"2025-10-05T16:30:23","modified_gmt":"2025-10-05T16:30:23","slug":"advanced-experimental-design-learn-it-3","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/advanced-experimental-design-learn-it-3\/","title":{"raw":"Advanced Experimental Design: Learn It 3","rendered":"Advanced Experimental Design: Learn It 3"},"content":{"raw":"<h2>Ethics in Experimental Design<\/h2>\r\n<p>The Salk vaccine experiment was one of the largest health experiments ever conducted. It was an experiment because subjects were given treatments, but ethical issues, cost, time, and other considerations sometimes prohibit the use of an experiment. For example, we would never want to conduct a texting-while-driving experiment in which we ask subjects to text while driving. Why? Some of them could die! It would be far better to observe past crash results to understand the effects of texting while driving.<\/p>\r\n<p>The large-scale experiment designed to test the effectiveness of the Salk vaccine in preventing polio used a completely randomized design in that the experimental units (or subjects) were randomly assigned to one of the treatments. However, in a well-designed experiment, we want to know what effect the factor of interest has on the response variable.<\/p>\r\n<h2>Nuisance Factors<\/h2>\r\n<section class=\"textbox recall\"><strong>Nuisance factors<\/strong>: these are not of interest in the study but may have an effect on the response variable.<\/section>\r\n<p>Sometimes, a <strong>nuisance<\/strong> <strong>factor<\/strong> may also affect the response factor, even though we are not interested in this factor (e.g., the specific operator who prepared the treatment, the time of day the experiment was run, the room temperature). All experiments have nuisance factors, so the experimenter will typically need to spend some time deciding which nuisance factors are important enough to keep track of or control.<\/p>\r\n<section class=\"textbox tryIt\">\r\n<p>[ohm2_question hide_question_numbers=1]726[\/ohm2_question]<\/p>\r\n<\/section>\r\n<h2>Randomized Block Design<\/h2>\r\n<p>Sometimes, the nuisance factors can be directly controlled in the experiment using a <strong>completely<\/strong> <strong>randomized<\/strong> <strong>block<\/strong> <strong>design<\/strong>. This design is used when the experimental units are divided into homogeneous groups called blocks.<\/p>\r\n<section class=\"textbox keyTakeaway\">\r\n<div>\r\n<h3>block<\/h3>\r\n\r\nA <strong>block<\/strong> is a group of subjects that are similar, but blocks differ in ways that might affect the outcome of the experiment. For example, if your nuisance factor is known and controllable, it can be added to your experimental design. <br \/>\r\n<br \/>\r\nWe use the term <strong>blocking<\/strong> to describe the grouping together of homogeneous (similar) experimental units, followed by the random assignment of the experimental units within each group to a treatment.<\/div>\r\n<\/section>\r\n<section class=\"textbox example\">\r\n<p>The diagram below illustrates the <strong>completely<\/strong> <strong>randomized<\/strong> <strong>block<\/strong> <strong>design<\/strong> for an experiment testing a new fertilizer:<\/p>\r\n\r\n[caption id=\"attachment_4552\" align=\"alignnone\" width=\"882\"]<img class=\"wp-image-4552 size-full\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/03\/11154745\/Lumen-SME-Hourly-Invoice-Module-2.1-and-2.2-Google-Sheets.png\" alt=\"This diagram shows completely randomized block design. Between 50 fields, they are blocked together based on crop type. There are 28 corn fields and 22 soybean fields. 13 new fertilizer and 15 standard practice fields were allocated to corn fields randomly, and 12 new fertilizer and 10 standard practice fields are allocated to soybean fields. From there, the outcome for both crops are measured.\" width=\"882\" height=\"440\" \/> Figure 1. By grouping fields by crop type first, this experiment makes sure differences in results come from the fertilizer, not the crop.[\/caption]\r\n<\/section>\r\n<p>In a completely randomized block design, we do not wish to determine whether the differences between blocks result in any difference in the value of the response variable. Our goal is to remove any variability in the response variable that may be attributable to the block. Therefore, the advantage of this design is that blocking will help to minimize the effects of nuisance factors.<\/p>\r\n<p>The basic principles of the completely randomized block design are <strong>blocking<\/strong> and <strong>randomization<\/strong>. The general rule is to \u201cblock what you can and randomize what you cannot.\u201d So, blocking is used to remove the effects of a few of the most important nuisance factors. Randomization is then used to create comparable groups to reduce the contaminating effects from the removal of the nuisance factors.<\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]727[\/ohm2_question]<\/section>\r\n<section><\/section>\r\n<section>[reveal-answer q=\"849001\"]See the Example question solved in the videos below[\/reveal-answer]<br \/>\r\n[hidden-answer a=\"849001\"][ohm2_question hide_question_numbers=1]1173[\/ohm2_question]<\/section>\r\n<section>[\/hidden-answer]<\/section>\r\n<section><\/section>\r\n<section>\r\n<section class=\"textbox example\">\r\n<p>[videopicker divId=\"tnh-video-picker\" title=\"Design a Hypothetical Experiment Using Randomized Block Design\" label=\"Select Instructor\"]<br \/>\r\n[videooption displayName=\"Dr. Pamela E. Harris\" value=\"https:\/\/www.youtube.com\/watch?v=Rxwtp7I9C_A\"][videooption displayName=\"Dr. Aris Winger\" value=\"https:\/\/www.youtube.com\/watch?v=GSpCY6MJeKE\"] [videooption displayName=\"Dr. Lane Fisher\" value=\"https:\/\/www.youtube.com\/watch?v=gmjeunik9vA\"]<br \/>\r\n[\/videopicker]<\/p>\r\n<\/section>\r\n<\/section>","rendered":"<h2>Ethics in Experimental Design<\/h2>\n<p>The Salk vaccine experiment was one of the largest health experiments ever conducted. It was an experiment because subjects were given treatments, but ethical issues, cost, time, and other considerations sometimes prohibit the use of an experiment. For example, we would never want to conduct a texting-while-driving experiment in which we ask subjects to text while driving. Why? Some of them could die! It would be far better to observe past crash results to understand the effects of texting while driving.<\/p>\n<p>The large-scale experiment designed to test the effectiveness of the Salk vaccine in preventing polio used a completely randomized design in that the experimental units (or subjects) were randomly assigned to one of the treatments. However, in a well-designed experiment, we want to know what effect the factor of interest has on the response variable.<\/p>\n<h2>Nuisance Factors<\/h2>\n<section class=\"textbox recall\"><strong>Nuisance factors<\/strong>: these are not of interest in the study but may have an effect on the response variable.<\/section>\n<p>Sometimes, a <strong>nuisance<\/strong> <strong>factor<\/strong> may also affect the response factor, even though we are not interested in this factor (e.g., the specific operator who prepared the treatment, the time of day the experiment was run, the room temperature). All experiments have nuisance factors, so the experimenter will typically need to spend some time deciding which nuisance factors are important enough to keep track of or control.<\/p>\n<section class=\"textbox tryIt\">\n<iframe loading=\"lazy\" id=\"ohm726\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=726&theme=lumen&iframe_resize_id=ohm726&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><br \/>\n<\/section>\n<h2>Randomized Block Design<\/h2>\n<p>Sometimes, the nuisance factors can be directly controlled in the experiment using a <strong>completely<\/strong> <strong>randomized<\/strong> <strong>block<\/strong> <strong>design<\/strong>. This design is used when the experimental units are divided into homogeneous groups called blocks.<\/p>\n<section class=\"textbox keyTakeaway\">\n<div>\n<h3>block<\/h3>\n<p>A <strong>block<\/strong> is a group of subjects that are similar, but blocks differ in ways that might affect the outcome of the experiment. For example, if your nuisance factor is known and controllable, it can be added to your experimental design. <\/p>\n<p>We use the term <strong>blocking<\/strong> to describe the grouping together of homogeneous (similar) experimental units, followed by the random assignment of the experimental units within each group to a treatment.<\/div>\n<\/section>\n<section class=\"textbox example\">\n<p>The diagram below illustrates the <strong>completely<\/strong> <strong>randomized<\/strong> <strong>block<\/strong> <strong>design<\/strong> for an experiment testing a new fertilizer:<\/p>\n<figure id=\"attachment_4552\" aria-describedby=\"caption-attachment-4552\" style=\"width: 882px\" class=\"wp-caption alignnone\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-4552 size-full\" src=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/03\/11154745\/Lumen-SME-Hourly-Invoice-Module-2.1-and-2.2-Google-Sheets.png\" alt=\"This diagram shows completely randomized block design. Between 50 fields, they are blocked together based on crop type. There are 28 corn fields and 22 soybean fields. 13 new fertilizer and 15 standard practice fields were allocated to corn fields randomly, and 12 new fertilizer and 10 standard practice fields are allocated to soybean fields. From there, the outcome for both crops are measured.\" width=\"882\" height=\"440\" srcset=\"https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/03\/11154745\/Lumen-SME-Hourly-Invoice-Module-2.1-and-2.2-Google-Sheets.png 882w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/03\/11154745\/Lumen-SME-Hourly-Invoice-Module-2.1-and-2.2-Google-Sheets-300x150.png 300w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/03\/11154745\/Lumen-SME-Hourly-Invoice-Module-2.1-and-2.2-Google-Sheets-768x383.png 768w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/03\/11154745\/Lumen-SME-Hourly-Invoice-Module-2.1-and-2.2-Google-Sheets-65x32.png 65w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/03\/11154745\/Lumen-SME-Hourly-Invoice-Module-2.1-and-2.2-Google-Sheets-225x112.png 225w, https:\/\/content-cdn.one.lumenlearning.com\/wp-content\/uploads\/sites\/27\/2023\/03\/11154745\/Lumen-SME-Hourly-Invoice-Module-2.1-and-2.2-Google-Sheets-350x175.png 350w\" sizes=\"(max-width: 882px) 100vw, 882px\" \/><figcaption id=\"caption-attachment-4552\" class=\"wp-caption-text\">Figure 1. By grouping fields by crop type first, this experiment makes sure differences in results come from the fertilizer, not the crop.<\/figcaption><\/figure>\n<\/section>\n<p>In a completely randomized block design, we do not wish to determine whether the differences between blocks result in any difference in the value of the response variable. Our goal is to remove any variability in the response variable that may be attributable to the block. Therefore, the advantage of this design is that blocking will help to minimize the effects of nuisance factors.<\/p>\n<p>The basic principles of the completely randomized block design are <strong>blocking<\/strong> and <strong>randomization<\/strong>. The general rule is to \u201cblock what you can and randomize what you cannot.\u201d So, blocking is used to remove the effects of a few of the most important nuisance factors. Randomization is then used to create comparable groups to reduce the contaminating effects from the removal of the nuisance factors.<\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm727\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=727&theme=lumen&iframe_resize_id=ohm727&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section><\/section>\n<section>\n<div class=\"qa-wrapper\" style=\"display: block\"><button class=\"show-answer show-answer-button collapsed\" data-target=\"q849001\">See the Example question solved in the videos below<\/button><\/p>\n<div id=\"q849001\" class=\"hidden-answer\" style=\"display: none\"><iframe loading=\"lazy\" id=\"ohm1173\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=1173&theme=lumen&iframe_resize_id=ohm1173&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section><\/div>\n<\/div>\n<\/section>\n<section><\/section>\n<section>\n<section class=\"textbox example\">\n<div id=\"tnh-video-picker\" class=\"videoPicker\">\n<h3>Design a Hypothetical Experiment Using Randomized Block Design<\/h3>\n<form><label>Select Instructor:<\/label><select name=\"video\"><option value=\"https:\/\/www.youtube.com\/embed\/Rxwtp7I9C_A\">Dr. Pamela E. Harris<\/option><option value=\"https:\/\/www.youtube.com\/embed\/GSpCY6MJeKE\">Dr. Aris Winger<\/option><option value=\"https:\/\/www.youtube.com\/embed\/gmjeunik9vA\">Dr. Lane Fisher<\/option><\/select><\/form>\n<div class=\"videoContainer\"><iframe src=\"https:\/\/www.youtube.com\/embed\/Rxwtp7I9C_A\" allowfullscreen><\/iframe><\/div>\n<\/section>\n<\/section>\n","protected":false},"author":13,"menu_order":16,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":743,"module-header":"learn_it","content_attributions":[],"internal_book_links":[],"video_content":[{"divId":"tnh-video-picker","title":"Design a Hypothetical Experiment Using Randomized Block Design","label":"Select Instructor","video_collection":[{"displayName":"Dr. Pamela E. 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