{"id":2687,"date":"2024-07-24T10:49:21","date_gmt":"2024-07-24T14:49:21","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/?post_type=part&#038;p=2687"},"modified":"2024-07-24T10:58:37","modified_gmt":"2024-07-24T14:58:37","slug":"analysis-of-variance-anova","status":"publish","type":"part","link":"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/part\/analysis-of-variance-anova\/","title":{"raw":"Analysis of Variance (ANOVA)","rendered":"Analysis of Variance (ANOVA)"},"content":{"raw":"In this chapter, we review how to perform an ANOVA test.\r\n<h2>When is the ANOVA test used?<\/h2>\r\nThe ANOVA (Analysis of Variance) test will be used:\r\n<ul>\r\n \t<li>to determine if there are differences between quantitative variables<\/li>\r\n \t<li>to compare several groups simultaneously<\/li>\r\n<\/ul>\r\n<h2>Where do we also see ANOVA results?<\/h2>\r\nWe see them when performing a regression. We are given an ANOVA table as part of the regression output:\r\n\r\n<a href=\"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-content\/uploads\/sites\/2128\/2024\/07\/ANOVA_Sample_Regression_Output.jpg\"><img class=\"wp-image-2688 aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-content\/uploads\/sites\/2128\/2024\/07\/ANOVA_Sample_Regression_Output.jpg\" alt=\"Screenshot of regression output generated in Excel. The middle table in the regression output, the ANOVA table, is highlighted.\" width=\"621\" height=\"347\" \/><\/a>","rendered":"<p>In this chapter, we review how to perform an ANOVA test.<\/p>\n<h2>When is the ANOVA test used?<\/h2>\n<p>The ANOVA (Analysis of Variance) test will be used:<\/p>\n<ul>\n<li>to determine if there are differences between quantitative variables<\/li>\n<li>to compare several groups simultaneously<\/li>\n<\/ul>\n<h2>Where do we also see ANOVA results?<\/h2>\n<p>We see them when performing a regression. We are given an ANOVA table as part of the regression output:<\/p>\n<p><a href=\"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-content\/uploads\/sites\/2128\/2024\/07\/ANOVA_Sample_Regression_Output.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\"wp-image-2688 aligncenter\" src=\"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-content\/uploads\/sites\/2128\/2024\/07\/ANOVA_Sample_Regression_Output.jpg\" alt=\"Screenshot of regression output generated in Excel. The middle table in the regression output, the ANOVA table, is highlighted.\" width=\"621\" height=\"347\" srcset=\"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-content\/uploads\/sites\/2128\/2024\/07\/ANOVA_Sample_Regression_Output.jpg 964w, https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-content\/uploads\/sites\/2128\/2024\/07\/ANOVA_Sample_Regression_Output-300x168.jpg 300w, https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-content\/uploads\/sites\/2128\/2024\/07\/ANOVA_Sample_Regression_Output-768x429.jpg 768w, https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-content\/uploads\/sites\/2128\/2024\/07\/ANOVA_Sample_Regression_Output-65x36.jpg 65w, https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-content\/uploads\/sites\/2128\/2024\/07\/ANOVA_Sample_Regression_Output-225x126.jpg 225w, https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-content\/uploads\/sites\/2128\/2024\/07\/ANOVA_Sample_Regression_Output-350x196.jpg 350w\" sizes=\"auto, (max-width: 621px) 100vw, 621px\" \/><\/a><\/p>\n","protected":false},"parent":0,"menu_order":17,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-2687","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-json\/pressbooks\/v2\/parts\/2687","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":1,"href":"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-json\/pressbooks\/v2\/parts\/2687\/revisions"}],"predecessor-version":[{"id":2689,"href":"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-json\/pressbooks\/v2\/parts\/2687\/revisions\/2689"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-json\/wp\/v2\/media?parent=2687"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-json\/wp\/v2\/contributor?post=2687"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/1130sandbox\/wp-json\/wp\/v2\/license?post=2687"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}