{"id":1163,"date":"2016-08-19T16:43:24","date_gmt":"2016-08-19T20:43:24","guid":{"rendered":"https:\/\/www.causeweb.org\/sbi\/?p=1163"},"modified":"2016-08-21T15:04:42","modified_gmt":"2016-08-21T19:04:42","slug":"chocolate-tactile-simulations-without-data-collection","status":"publish","type":"post","link":"https:\/\/www.causeweb.org\/sbi\/?p=1163","title":{"rendered":"Chocolate: tactile simulations without data collection"},"content":{"rendered":"<p><strong><a href=\"https:\/\/www.causeweb.org\/sbi\/wp-content\/uploads\/2016\/08\/jo_headshot8.jpg\"><img loading=\"lazy\" decoding=\"async\" class=\" wp-image-1161 alignleft\" src=\"https:\/\/www.causeweb.org\/sbi\/wp-content\/uploads\/2016\/08\/jo_headshot8-263x300.jpg\" alt=\"jo_headshot8\" width=\"204\" height=\"233\" srcset=\"https:\/\/www.causeweb.org\/sbi\/wp-content\/uploads\/2016\/08\/jo_headshot8-263x300.jpg 263w, https:\/\/www.causeweb.org\/sbi\/wp-content\/uploads\/2016\/08\/jo_headshot8-768x877.jpg 768w, https:\/\/www.causeweb.org\/sbi\/wp-content\/uploads\/2016\/08\/jo_headshot8-897x1024.jpg 897w, https:\/\/www.causeweb.org\/sbi\/wp-content\/uploads\/2016\/08\/jo_headshot8-624x712.jpg 624w, https:\/\/www.causeweb.org\/sbi\/wp-content\/uploads\/2016\/08\/jo_headshot8.jpg 1104w\" sizes=\"auto, (max-width: 204px) 100vw, 204px\" \/><\/a>Jo Hardin &#8211; Pomona College, Claremont, CA<\/strong><\/p>\n<p>Many of us will agree that using tactile demonstrations is super fun and can also be an excellent way to teach a particular concept.\u00a0 Students engage with the material differently when they can touch, smell, or taste the objects as opposed to only seeing or listening to a demonstration.\u00a0 The SBI blog has had many excellent articles describing in-class tactile simulations, see <a href=\"https:\/\/www.causeweb.org\/sbi\/?p=422\" target=\"_blank\">here<\/a> and <a href=\"https:\/\/www.causeweb.org\/sbi\/?p=460\" target=\"_blank\">here<\/a> and <a href=\"https:\/\/www.causeweb.org\/sbi\/?p=501\" target=\"_blank\">here<\/a>.<\/p>\n<p>However, sometimes the logistical constraints setting up the demonstration take away too much from an already packed 50 minute class session.\u00a0 And those details get even harder with large classes.\u00a0 One of the biggest challenges comes from collecting data or getting results back from the students.\u00a0 Although some classes have sophisticated clickers that make data collection easier, setting up and using clickers is also a logistical challenge (well worth it for using all semester, but not for a one day class demonstration).<\/p>\n<p>[pullquote]The conversation that ensues about the experimental design is incredibly valuable for understanding paired design (and the motivation for the pairing) or survival analysis (and the need for tools to analyze censored data).\u00a0[\/pullquote]<br \/>\n<!--more-->My view on classroom demonstrations is that doing most of the tactile demonstration can communicate the vast majority of the pedagogical ideas.\u00a0 I will demonstrate what I mean with examples using chocolate chips.\u00a0 I have used chocolate chips in class many times to teach two different concepts: (1) censored data analyzed with survival analysis (example taken from <em>Practicing Statistics<\/em> by Kuiper and Sklar) and (2) paired tests (example taken from <em>Investigating Statistical Concepts, Applications, and Methods<\/em> by Chance and Rossman).<\/p>\n<p>In both classroom experiences, I provide small Dixie cups with two visibly different types of chocolate chips (typically two of either white chocolate, milk chocolate, semi-sweet chocolate, or peanut-butter chips).<\/p>\n<p>Then we spend some time as a class talking about the experiment and the goal of the experiment.\u00a0 For both of the statistical methods I cover in class, the goal is to compare the length of time taken to melt the two different types of chips (the length of time is described by: the average if doing t-tests; the distribution if doing signed-rank test; the survival curve if doing survival analysis).\u00a0 \u00a0I will give some details of the class interactions below, but many of these ideas are also discussed in the texts mentioned above and in the references.\u00a0 For simplicity, I will describe using a paired t-test to determine if milk or white chocolate chips melt faster, on average.<\/p>\n<p>I always start with a basic question: What will we do to determine which chocolate chip melts faster on average?<\/p>\n<p>Inevitably, I get a basic answer in return: Put chocolate chips in mouth, see how long it takes to melt, record data, decide which one melts faster.<\/p>\n<p>And then I stop and ask them how in the world they\u2019ll know how to do what they just suggested?\u00a0 There is a tremendous amount of additional information necessary before running a viable experiment.\u00a0 Among the important decisions to be made (by class consensus) are:<\/p>\n<ul>\n<li>How is the chocolate chip going to reside in the mouth? Can you chew?\u00a0 Can you use your tongue?\u00a0 Can you move the chip?<\/li>\n<li>Who gets which color? (Everyone gets both if paired!)<\/li>\n<li>In what order do the chips get melted? Does everyone melt the same chip first?<\/li>\n<li>How will the melting be timed?<\/li>\n<li>How long do we wait between chips?<\/li>\n<\/ul>\n<p>The conversation that ensues about the experimental design is incredibly valuable for understanding paired design (and the motivation for the pairing) or survival analysis (and the need for tools to analyze censored data).\u00a0 The process of coming to a class consensus about the chip experiment requires the students to justify their decisions to their classmates.\u00a0 For example, the class notes that if you hold the chip at the top of your mouth, it\u2019ll melt faster.\u00a0 Oh yeah, and that brings up the fact that some people will have mouth environments where chips melt faster (which is why we pair)!<\/p>\n<p>I almost never collect the data that my students generate.\u00a0 Partly because melting times for chips aren\u2019t substantially different (so power is pretty low).\u00a0 But also because collecting the data, entering it into the computer, and running the appropriate test does not provide the same pedagogical-idea-per-class-minute value that the earlier discussion on design did.\u00a0 I can make up data, use the textbook\u2019s data, or use student data from a previous year (if I have it).\u00a0 And the students can then <em>quickly<\/em> see the analysis done on screen.<\/p>\n<p>Don\u2019t get me wrong, there are large benefits to collecting class data so that students can understand first hand how variability plays a role. \u00a0I believe that collecting student data is particularly valuable when each student gets a different <em>statistic<\/em> (for example, number of successes in a binomial trial) which can be put together as a class generated sampling distribution.\u00a0 But in the chip example, the vast majority of the learning happens with understanding the experimental design.\u00a0 And because we must continually make choices in our classes, we should not be afraid to cut out the parts of the demonstration (here collecting data) we believe are less important to the learning.<\/p>\n<p>References:<\/p>\n<p><em>Investigating Statistical Concepts, Applications, and Methods<\/em> by Beth Chance and Allan Rossman, <a href=\"http:\/\/www.rossmanchance.com\/iscam3\/\" target=\"_blank\">http:\/\/www.rossmanchance.com\/iscam3\/<\/a><\/p>\n<p><em>Practicing Statistics<\/em> by Shonda Kuiper and Jeff Sklar, <a href=\"http:\/\/web.grinnell.edu\/individuals\/kuipers\/stat2labs\/\" target=\"_blank\">http:\/\/web.grinnell.edu\/individuals\/kuipers\/stat2labs\/<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Jo Hardin &#8211; Pomona College, Claremont, CA Many of us will agree that using tactile demonstrations is super fun and can also be an excellent way to teach a particular concept.\u00a0 Students engage with the material differently when they can touch, smell, or taste the objects as opposed to only seeing or listening to a [&hellip;]<\/p>\n","protected":false},"author":47,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16],"tags":[],"class_list":["post-1163","post","type-post","status-publish","format-standard","hentry","category-7-using-real-data"],"_links":{"self":[{"href":"https:\/\/www.causeweb.org\/sbi\/index.php?rest_route=\/wp\/v2\/posts\/1163","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.causeweb.org\/sbi\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.causeweb.org\/sbi\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.causeweb.org\/sbi\/index.php?rest_route=\/wp\/v2\/users\/47"}],"replies":[{"embeddable":true,"href":"https:\/\/www.causeweb.org\/sbi\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=1163"}],"version-history":[{"count":7,"href":"https:\/\/www.causeweb.org\/sbi\/index.php?rest_route=\/wp\/v2\/posts\/1163\/revisions"}],"predecessor-version":[{"id":1165,"href":"https:\/\/www.causeweb.org\/sbi\/index.php?rest_route=\/wp\/v2\/posts\/1163\/revisions\/1165"}],"wp:attachment":[{"href":"https:\/\/www.causeweb.org\/sbi\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=1163"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.causeweb.org\/sbi\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=1163"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.causeweb.org\/sbi\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=1163"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}