{"id":371,"date":"2015-01-05T18:12:34","date_gmt":"2015-01-05T18:12:34","guid":{"rendered":"http:\/\/labmath.org\/?p=371"},"modified":"2015-02-11T16:35:55","modified_gmt":"2015-02-11T16:35:55","slug":"how-to-make-truly-terrible-graphs-a-tutorial-2","status":"publish","type":"post","link":"https:\/\/labmath.org\/?p=371","title":{"rendered":"Graphing advice"},"content":{"rendered":"<h2 align=\"center\"><strong>How to Make Truly Terrible Graphs: A Tutorial<\/strong><\/h2>\n<p style=\"text-align: center;\"><a href=\"http:\/\/fhs.mcmaster.ca\/ceb\/faculty_member_streiner.htm\">David L. Streiner<\/a>, special guest contributor and co-author of\u00a0<a href=\"http:\/\/books.google.com\/books\/about\/Biostatistics.html?id=y4tWQl_8Ni8C\">excellent statistics texts<\/a><\/p>\n<h3 align=\"center\">Part 3 \u2013 3D or not 3D<\/h3>\n<p>In the two last blogs, we learned the first steps in making truly terrible graphs: by confusing the role of a visual with that of a table, and by using pie charts. But that barely scratches the surface of how graphing packages can allow us to totally screw up. This blog will examine another widely used travesty: making the graph look three-dimensional. Indeed, in some (unnamed, at least for now) programs, the default option is 3-D, and you have to work hard to reset it to make the bar chart or pie chart 2-D. With so many newspapers using 3-D graphs in their pages, you may be excused for thinking that this is good practice; after all, they are ever so much sexier and eye-grabbing than the flat, 2-D types. So what if they are harder to read and distort the data; isn\u2019t that a small price to pay for sexy and cutesy? Yes if you\u2019re an administrator, but No if you\u2019re a scientist.<\/p>\n<p>Take a look at the first graph; can you guess what values are being plotted?<\/p>\n<p>\n<a href=\"http:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic1.png\"><img decoding=\"async\" loading=\"lazy\" class=\"size-medium wp-image-367 aligncenter\" alt=\"blog3pic1\" src=\"http:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic1-300x225.png\" width=\"300\" height=\"225\" srcset=\"https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic1-300x225.png 300w, https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic1-1024x768.png 1024w, https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic1.png 2000w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><br clear=\"all\"><\/p>\n<p>Not that easy, is it? First, do you attend to the front of the bar or the back? The front grabs our attention, but it\u2019s actually the back that\u2019s important. Then you have to follow the lines on the back \u201cwall\u201d over to the left, turn down by about 20 degrees, and read the number off the Y axis. Not too hard here, but imagine that the bar fell in between the labeled values; even more estimation and guesswork is required. Now, what are four values? You\u2019d be excused f you said 2, 4, 6 and 8, but \u201cGotcha!\u201d The values are actually 2.22, 4.22, 6.22, and 8.22. The reason that the bars look smaller than their true values is seen at the floor of the graph. The bars aren\u2019t flat against the back wall; they\u2019re displaced somewhat in front of it. So, to get the true values, you first have to mentally project the level of the top upwards to the back wall by the same amount that the bar is displaced, and then carry that line to the left and back down; a totally unnecessary series of steps, prone to error at each step.<\/p>\n<p>Let&#8217;s add insult to injury by plotting the same set of numbers (2, 4, 6, and 8) using two programs created by the same, still unnamed, software company. The one on the left was made with PowerPoint (whatever happened to spaces between words?) and the one on the right by Excel \u2013 same data, different look (oops, did that give away the name of the company?). I pity the poor people sitting in the audience trying to figure out the real values.<\/p>\n<p><a href=\"http:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic2.png\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-368 alignnone\" style=\"margin-left: 200px; margin-right: 200px;\" alt=\"blog3pic2\" src=\"http:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic2-1024x373.png\" width=\"614\" height=\"224\" srcset=\"https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic2-1024x373.png 1024w, https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic2-300x109.png 300w, https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic2.png 2000w\" sizes=\"(max-width: 614px) 100vw, 614px\" \/><\/a><\/p>\n<p>Compare that to a simple 2-D chart:<\/p>\n<p><a href=\"http:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic3.png\"><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-369 alignnone\" style=\"margin-left: 200px; margin-right: 200px;\" alt=\"blog3pic3\" src=\"http:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic3-1024x472.png\" width=\"491\" height=\"226\" srcset=\"https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic3-1024x472.png 1024w, https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic3-300x138.png 300w, https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic3.png 1998w\" sizes=\"(max-width: 491px) 100vw, 491px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>Not nearly as sexy. The only things it has going for it are that (1) it\u2019s easy to read; (2) there\u2019s no ambiguity; and (3) it\u2019s accurate. Obviously, university and hospital administrators will shun 2-D graphs in favor of 3-D.<\/p>\n<p>As the final step, let\u2019s combine the worst of both worlds \u2013 3-D pie charts.<\/p>\n<p><a href=\"http:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic4.png\"><img decoding=\"async\" loading=\"lazy\" class=\"size-medium wp-image-370 alignnone\" style=\"margin-left: 200px; margin-right: 200px;\" alt=\"blog3pic4\" src=\"http:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic4-300x172.png\" width=\"300\" height=\"172\" srcset=\"https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic4-300x172.png 300w, https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic4-1024x588.png 1024w, https:\/\/labmath.org\/wp-content\/uploads\/2015\/01\/blog3pic4.png 2002w\" sizes=\"(max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p>&nbsp;<\/p>\n<p>Rank order the four segments. Most likely, you\u2019d say A &lt; B &lt; C &lt; D. That would be understandable, but it\u2019s the second \u201cGotcha!\u201d In fact, A, B, and C are the same, and D is twice as large as each of them. So why did you get it so wrong? I mentioned in the previous blog that equal angles are perceived differently, depending on whether they are oriented vertically or horizontally, and that\u2019s part of the problem here. The other part is that tilting the pie distorts the angles even more. You can try this at home \u2013 make a 3-D pie chart with four equal segments, and then modify the angle of the tilt and see what happens. With any luck, that will be the last 3-D pie chart (or any type of 3-D chart) you will ever make.<\/p>\n<p>So in conclusion, if you really want to screw up a chart (or if you\u2019re making a presentation to administrators), use 3-D graphs, and especially 3-D pie charts. Meanwhile, real researchers will be content with only two dimensions.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>How to Make Truly Terrible Graphs: A Tutorial David L. Streiner, special guest contributor and co-author of\u00a0excellent statistics texts Part 3 \u2013 3D or not 3D In the two last blogs, we learned the first steps in making truly terrible graphs: by confusing the role of a visual with that of a table, and by [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[12,11,1],"tags":[],"_links":{"self":[{"href":"https:\/\/labmath.org\/index.php?rest_route=\/wp\/v2\/posts\/371"}],"collection":[{"href":"https:\/\/labmath.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/labmath.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/labmath.org\/index.php?rest_route=\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/labmath.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=371"}],"version-history":[{"count":22,"href":"https:\/\/labmath.org\/index.php?rest_route=\/wp\/v2\/posts\/371\/revisions"}],"predecessor-version":[{"id":373,"href":"https:\/\/labmath.org\/index.php?rest_route=\/wp\/v2\/posts\/371\/revisions\/373"}],"wp:attachment":[{"href":"https:\/\/labmath.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=371"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/labmath.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=371"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/labmath.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=371"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}