{"id":159,"date":"2019-07-16T20:36:31","date_gmt":"2019-07-16T20:36:31","guid":{"rendered":"http:\/\/blogs.ubalt.edu\/jboettinger\/?p=159"},"modified":"2020-02-13T09:42:04","modified_gmt":"2020-02-13T14:42:04","slug":"using-spss-comparing-means-repeated-measures-one-way-anova","status":"publish","type":"post","link":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/2019\/07\/16\/using-spss-comparing-means-repeated-measures-one-way-anova\/","title":{"rendered":"Using SPSS: Comparing Means &#8211; Repeated Measures One-Way ANOVA"},"content":{"rendered":"<p>This post will be about finding a difference in means when it comes to repeated measures in research designs with a factor with more than 2 levels. Just like with the <a href=\"http:\/\/blogs.ubalt.edu\/mathsupportcenter\/2019\/07\/16\/using-spss-comparing-means-repeated-measures-t-test\/\">Repeated Measures t-test<\/a>, we&#8217;ll be lining our levels up in columns. For this example, we&#8217;ll pretend that we&#8217;ve collected data on self-reported depression. Participants were asked to rate on a scale from 1-9 how severe they felt their depression is. They were then given medication to take which is known to reduce depressive symptoms. Participants were asked again after 6 months how high they rated their depression. They were asked one last time at the end of 12 months.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-236\" src=\"http:\/\/blogs.ubalt.edu\/jboettinger\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova1-300x235.png\" alt=\"\" width=\"688\" height=\"539\" srcset=\"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova1-300x235.png 300w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova1-768x602.png 768w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova1-1024x803.png 1024w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova1-624x489.png 624w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova1.png 1283w\" sizes=\"(max-width: 688px) 100vw, 688px\" \/><!--more--><\/p>\n<p>I went ahead and named the levels in the Variable view.<img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-237\" src=\"http:\/\/blogs.ubalt.edu\/jboettinger\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova2-300x233.png\" alt=\"\" width=\"912\" height=\"708\" srcset=\"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova2-300x233.png 300w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova2-768x596.png 768w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova2-1024x794.png 1024w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova2-624x484.png 624w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova2.png 1302w\" sizes=\"(max-width: 912px) 100vw, 912px\" \/><\/p>\n<p>To run the actual test, simply go up to Analyze, scroll over General Linear Model, and click Repeated Measures.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-238\" src=\"http:\/\/blogs.ubalt.edu\/jboettinger\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova3-300x231.png\" alt=\"\" width=\"910\" height=\"701\" srcset=\"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova3-300x231.png 300w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova3-768x591.png 768w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova3-624x480.png 624w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova3.png 1303w\" sizes=\"(max-width: 910px) 100vw, 910px\" \/><\/p>\n<p>A pop-up will appear. In the first box, create the name of your factor. In this case, I&#8217;ve named it time, because we&#8217;re doing comparisons across time. In the second box, I typed in 3 because we have 3 levels and then I pressed Add. In the third box, I named our dependent variable and clicked Add. Next, we need to Define our factors&#8230;<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-239\" src=\"http:\/\/blogs.ubalt.edu\/jboettinger\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova4-300x231.png\" alt=\"\" width=\"995\" height=\"766\" srcset=\"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova4-300x231.png 300w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova4-768x592.png 768w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova4-1024x789.png 1024w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova4-624x481.png 624w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova4.png 1300w\" sizes=\"(max-width: 995px) 100vw, 995px\" \/><\/p>\n<p>Another pop up will appear. Move the levels over into the top, right box. I prefer doing this in chronological order from top to bottom. Then, click Options.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-240\" src=\"http:\/\/blogs.ubalt.edu\/jboettinger\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova5-300x231.png\" alt=\"\" width=\"819\" height=\"631\" srcset=\"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova5-300x231.png 300w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova5-768x592.png 768w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova5-1024x789.png 1024w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova5-624x481.png 624w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova5.png 1303w\" sizes=\"(max-width: 819px) 100vw, 819px\" \/><\/p>\n<p>I would recommend getting means for everything, so move OVERALL and time over to the box on the right. I also recommend clicking the Descriptive Statistics and Estimate of Effect Size boxes. Finally, click the Compare Means checkbox; it&#8217;s located under the big, white box on the right. Click all the Continues and OK&#8217;s that follow.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-241\" src=\"http:\/\/blogs.ubalt.edu\/jboettinger\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova6-300x233.png\" alt=\"\" width=\"784\" height=\"609\" srcset=\"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova6-300x233.png 300w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova6-768x596.png 768w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova6-1024x795.png 1024w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova6-624x485.png 624w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova6.png 1303w\" sizes=\"(max-width: 784px) 100vw, 784px\" \/><\/p>\n<p>We can see from the means that the average for Start is greater than at 6 months is greater than at 12 months. This is important to know, but this does not prove significance.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-242\" src=\"http:\/\/blogs.ubalt.edu\/jboettinger\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova7-300x223.png\" alt=\"\" width=\"870\" height=\"647\" srcset=\"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova7-300x223.png 300w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova7-768x570.png 768w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova7-1024x760.png 1024w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova7-624x463.png 624w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova7.png 1158w\" sizes=\"(max-width: 870px) 100vw, 870px\" \/><\/p>\n<p>Go to the Tests of Within-Subjects Effects box and find &#8220;time&#8221; on the left, scroll over to Greenhouse-Geisser, and then scroll all the way to F and significance. We have a huge F score of 68.5 and a significance which is less than 0.05 and so we can say that somewhere there is a significant difference in the groups. If you need to report the effect size, you can find it under Partial Eta Squared.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-243\" src=\"http:\/\/blogs.ubalt.edu\/jboettinger\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova8-300x225.png\" alt=\"\" width=\"839\" height=\"629\" srcset=\"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova8-300x225.png 300w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova8-768x576.png 768w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova8-1024x768.png 1024w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova8-624x468.png 624w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova8.png 1332w\" sizes=\"(max-width: 839px) 100vw, 839px\" \/><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-244\" src=\"http:\/\/blogs.ubalt.edu\/jboettinger\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova9-300x231.png\" alt=\"\" width=\"794\" height=\"611\" srcset=\"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova9-300x231.png 300w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova9-768x592.png 768w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova9-1024x789.png 1024w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova9-624x481.png 624w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova9.png 1082w\" sizes=\"(max-width: 794px) 100vw, 794px\" \/><\/p>\n<p>This last box shows us the post-hoc under Pairwise Comparison. As you can see, all the comparisons are significantly different with a significance less than 0.05. This means that we can say that there was a significant difference in times since treatment began with participants expressing the most depression before the treatment started, less depression 6 months after the treatment started, and the least depression after 12 months of treatment.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignnone wp-image-245\" src=\"http:\/\/blogs.ubalt.edu\/jboettinger\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova10-300x191.png\" alt=\"\" width=\"1041\" height=\"663\" srcset=\"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova10-300x191.png 300w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova10-768x490.png 768w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova10-1024x653.png 1024w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova10-624x398.png 624w, https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-content\/uploads\/sites\/1114\/2019\/06\/repmeasanova10.png 1052w\" sizes=\"(max-width: 1041px) 100vw, 1041px\" \/><\/p>\n","protected":false},"excerpt":{"rendered":"<p>This post will be about finding a difference in means when it comes to repeated measures in research designs with a factor with more than 2 levels. Just like with the Repeated Measures t-test, we&#8217;ll be lining our levels up in columns. For this example, we&#8217;ll pretend that we&#8217;ve collected data on self-reported depression. Participants [&hellip;]<\/p>\n","protected":false},"author":1347,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[151,150,147],"tags":[4,3,5,7,6,84,117],"_links":{"self":[{"href":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-json\/wp\/v2\/posts\/159"}],"collection":[{"href":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-json\/wp\/v2\/users\/1347"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-json\/wp\/v2\/comments?post=159"}],"version-history":[{"count":3,"href":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-json\/wp\/v2\/posts\/159\/revisions"}],"predecessor-version":[{"id":581,"href":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-json\/wp\/v2\/posts\/159\/revisions\/581"}],"wp:attachment":[{"href":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-json\/wp\/v2\/media?parent=159"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-json\/wp\/v2\/categories?post=159"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.ubalt.edu\/mathsupportcenter\/wp-json\/wp\/v2\/tags?post=159"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}