{"id":1361,"date":"2023-06-22T02:20:28","date_gmt":"2023-06-22T02:20:28","guid":{"rendered":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/conditions-for-anova-learn-it-1\/"},"modified":"2025-05-16T22:52:56","modified_gmt":"2025-05-16T22:52:56","slug":"conditions-for-anova-learn-it-1","status":"publish","type":"chapter","link":"https:\/\/content.one.lumenlearning.com\/introstatstest\/chapter\/conditions-for-anova-learn-it-1\/","title":{"raw":"Conditions for ANOVA - Learn It 1","rendered":"Conditions for ANOVA &#8211; Learn It 1"},"content":{"raw":"<section>\r\n<section class=\"textbox learningGoals\">\r\n<ul>\r\n\t<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Check the conditions for a one-way ANOVA hypothesis test&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12801,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:10}\">Check the conditions for a one-way ANOVA hypothesis test<\/span><\/li>\r\n<\/ul>\r\n<\/section>\r\n<\/section>\r\n<section class=\"textbox proTip\">In trying to understand when it is appropriate to use an ANOVA, there are three main conditions we should consider:\r\n\r\n<ol>\r\n\t<li>Is it the right type of data?<\/li>\r\n\t<li>Are the groups independent random samples?<\/li>\r\n\t<li>Do the groups have similar levels of variability?<\/li>\r\n<\/ol>\r\n<\/section>\r\n<p>An ANOVA also requires that the data within each group be normally distributed, but testing for that is outside the scope of this course.<\/p>\r\n<p>Let\u2019s look at each condition in more detail.<\/p>\r\n<section class=\"textbox keyTakeaway\">\r\n<h3>data for ANOVA<\/h3>\r\n<p>An ANOVA only works if<\/p>\r\n<p>&nbsp;<\/p>\r\n<ul>\r\n\t<li>the factor of interest is categorical data,<\/li>\r\n\t<li>the response variable is numeric and continuous, and<\/li>\r\n\t<li>the mean of the response variable is the parameter of interest.<\/li>\r\n<\/ul>\r\n<\/section>\r\n<p>Remember that categorical data are qualitative data that have no inherent ranking or order. Basically, in an ANOVA, we are interested in comparing the mean of the <em>response variable<\/em> to more than two independent groups of the <em>factor of interest.<\/em><\/p>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2174[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2175[\/ohm2_question]<\/section>\r\n<section class=\"textbox tryIt\">[ohm2_question hide_question_numbers=1]2176[\/ohm2_question]<\/section>","rendered":"<section>\n<section class=\"textbox learningGoals\">\n<ul>\n<li><span data-sheets-value=\"{&quot;1&quot;:2,&quot;2&quot;:&quot;Check the conditions for a one-way ANOVA hypothesis test&quot;}\" data-sheets-userformat=\"{&quot;2&quot;:12801,&quot;3&quot;:{&quot;1&quot;:0},&quot;12&quot;:0,&quot;15&quot;:&quot;arial&quot;,&quot;16&quot;:10}\">Check the conditions for a one-way ANOVA hypothesis test<\/span><\/li>\n<\/ul>\n<\/section>\n<\/section>\n<section class=\"textbox proTip\">In trying to understand when it is appropriate to use an ANOVA, there are three main conditions we should consider:<\/p>\n<ol>\n<li>Is it the right type of data?<\/li>\n<li>Are the groups independent random samples?<\/li>\n<li>Do the groups have similar levels of variability?<\/li>\n<\/ol>\n<\/section>\n<p>An ANOVA also requires that the data within each group be normally distributed, but testing for that is outside the scope of this course.<\/p>\n<p>Let\u2019s look at each condition in more detail.<\/p>\n<section class=\"textbox keyTakeaway\">\n<h3>data for ANOVA<\/h3>\n<p>An ANOVA only works if<\/p>\n<p>&nbsp;<\/p>\n<ul>\n<li>the factor of interest is categorical data,<\/li>\n<li>the response variable is numeric and continuous, and<\/li>\n<li>the mean of the response variable is the parameter of interest.<\/li>\n<\/ul>\n<\/section>\n<p>Remember that categorical data are qualitative data that have no inherent ranking or order. Basically, in an ANOVA, we are interested in comparing the mean of the <em>response variable<\/em> to more than two independent groups of the <em>factor of interest.<\/em><\/p>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2174\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2174&theme=lumen&iframe_resize_id=ohm2174&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2175\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2175&theme=lumen&iframe_resize_id=ohm2175&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n<section class=\"textbox tryIt\"><iframe loading=\"lazy\" id=\"ohm2176\" class=\"resizable\" src=\"https:\/\/ohm.one.lumenlearning.com\/multiembedq.php?id=2176&theme=lumen&iframe_resize_id=ohm2176&source=tnh\" width=\"100%\" height=\"150\"><\/iframe><\/section>\n","protected":false},"author":8,"menu_order":15,"template":"","meta":{"_candela_citation":"[]","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"part":1348,"module-header":"learn_it","content_attributions":[],"internal_book_links":[],"video_content":null,"cc_video_embed_content":{"cc_scripts":"","media_targets":[]},"try_it_collection":null,"_links":{"self":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1361"}],"collection":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/users\/8"}],"version-history":[{"count":5,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1361\/revisions"}],"predecessor-version":[{"id":5800,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1361\/revisions\/5800"}],"part":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/parts\/1348"}],"metadata":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapters\/1361\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/media?parent=1361"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/pressbooks\/v2\/chapter-type?post=1361"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/contributor?post=1361"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/content.one.lumenlearning.com\/introstatstest\/wp-json\/wp\/v2\/license?post=1361"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}