{"id":5874,"date":"2017-10-05T05:45:59","date_gmt":"2017-10-05T10:45:59","guid":{"rendered":"https:\/\/www.kabt.org\/?p=5874"},"modified":"2017-10-04T23:21:54","modified_gmt":"2017-10-05T04:21:54","slug":"data-analysis-in-a-natural-selection-simulation","status":"publish","type":"post","link":"https:\/\/www.kabt.org\/?p=5874","title":{"rendered":"Data Analysis in a Natural Selection Simulation"},"content":{"rendered":"<div id=\"attachment_5875\" style=\"width: 412px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/Screen-Shot-2017-10-04-at-12.21.27-PM.png\"><img decoding=\"async\" aria-describedby=\"caption-attachment-5875\" class=\"wp-image-5875 size-full\" src=\"https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/Screen-Shot-2017-10-04-at-12.21.27-PM.png\" alt=\"\" width=\"402\" height=\"250\" srcset=\"https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/Screen-Shot-2017-10-04-at-12.21.27-PM.png 402w, https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/Screen-Shot-2017-10-04-at-12.21.27-PM-300x187.png 300w\" sizes=\"(max-width: 402px) 100vw, 402px\" \/><\/a><p id=\"caption-attachment-5875\" class=\"wp-caption-text\">+\/-1 SEM bars added<\/p><\/div>\n<p>I really like the HHMI Biointeractive activity <a href=\"http:\/\/www.hhmi.org\/biointeractive\/classroom-activities-battling-beetles\">&#8220;Battling Beetles&#8221;<\/a>. I have used it, in some iteration (see below), for the last 6 years to model certain aspects of natural selection. There is an extension where you can explore genetic drift and Hardy-Weinberg equilibrium calculations, though I have never done that with my 9th graders. If you stop at that point, the lab is lacking a bit in quantitative analysis. Students calculate phenotypic frequencies, but there is so much more you can do. \u00a0I used the lab to introduce the idea of a null hypothesis and standard error to my students this year, and I may never go back!<\/p>\n<p>&nbsp;<\/p>\n<p>We set up our lab notebooks with a title, purpose\/objective statements, and a data table. I provided students with an initial hypothesis (the null hypothesis), and ask them to generate an alternate hypothesis to mine (alternative hypothesis). I didn&#8217;t initially use the terms &#8216;null&#8217; and &#8216;alternative&#8217; for the hypotheses because, honestly, it wouldn&#8217;t have an impact on their success, and those are vocabulary words we can visit after demonstrating the main focus of the lesson. When you&#8217;re 14, and you&#8217;re trying to remember information from 6 other classes, even simple jargon can bog things down. \u00a0I had students take a random sample of 10 &#8220;male beetles&#8221; of each shell color, we smashed them together according the HHMI procedure, and students reported the surviving frequencies to me.<a href=\"https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/20171004_1413001-e1507176958519.jpg\"><img decoding=\"async\" class=\"aligncenter size-full wp-image-5878\" src=\"https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/20171004_1413001-e1507176958519.jpg\" alt=\"\" width=\"450\" height=\"800\" srcset=\"https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/20171004_1413001-e1507176958519.jpg 450w, https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/20171004_1413001-e1507176958519-169x300.jpg 169w\" sizes=\"(max-width: 450px) 100vw, 450px\" \/><\/a><\/p>\n<p>Once I had the sample frequencies, I used a Google Sheet to find averages and standard error, and reported those to my students. Having earlier emphasized &#8220;good&#8221; science as falsifiable, tentative and fallible, we began to talk about &#8220;confidence&#8221; and &#8220;significance&#8221; in research. What really seemed to work was this analogy: if your parents give you a curfew of 10:30 and you get home at 10:31, were you home on time? It isn&#8217;t a perfect comparison, and it is definitely something I&#8217;ll regret when my daughter is a few years older, but that seemed to click for most students. 10:31\u00a0<span style=\"text-decoration: underline;\"><strong>isn&#8217;t<\/strong><\/span> 10:30, but if we&#8217;re being honest with each other, there isn&#8217;t a real difference between the two. After all, most people would unconsciously round 10:31 down to 10:30 without thinking. We calculated the average frequency changed from 0.5 for blue M&amp;M&#8217;s to 0.53, and orange conversely moved from 0.5 to 0.47. So I asked them again: Does blue have an advantage? Is our result significant?<\/p>\n<div id=\"attachment_5877\" style=\"width: 610px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/chart.png\"><img decoding=\"async\" aria-describedby=\"caption-attachment-5877\" class=\"size-full wp-image-5877\" src=\"https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/chart.png\" alt=\"\" width=\"600\" height=\"371\" srcset=\"https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/chart.png 600w, https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/chart-300x186.png 300w, https:\/\/www.kabt.org\/wp-content\/uploads\/2017\/10\/chart-485x300.png 485w\" sizes=\"(max-width: 600px) 100vw, 600px\" \/><\/a><p id=\"caption-attachment-5877\" class=\"wp-caption-text\">Error bars represent 95% C.I. (+\/- 0.044) for our data.<\/p><\/div>\n<p>Short story, no; we failed to reject the null hypothesis. Unless you are using a 70% confidence interval, our result is not significantly different based on 36 samples. But it was neat to see the interval shrink during the day. After each class period, we added a few more samples, and the standard error measurement moved from 0.05 to 0.03 to 0.02.\u00a0<em>It was a really powerful way to emphasize the importance of sample size in scientific endeavors.\u00a0<\/em><\/p>\n<p>Should the pattern (cross-cutting concept!) hold across 20 more samples, the intervals would no longer overlap, and we could start to see something interesting. So if anyone has a giant bag of M&amp;M&#8217;s lying around and you want to contribute to our data set, copy <a href=\"https:\/\/docs.google.com\/spreadsheets\/d\/1RsVZ4Sipn08W63gVZD5FB_bVJ59VYnTSuj4xcWop0bk\/edit?usp=sharing\"><strong>this sheet<\/strong><\/a>, add your results, and share it back my way. Hope we can collaborate!<\/p>\n<p><em>Email results, comments, questions to Drew Ising at aising@usd348.com or drewising@gmail.com<\/em><\/p>\n<blockquote><p><strong>&#8211;Versions of Battling Beetles Lab I&#8217;ve Tried&#8211;<\/strong><\/p>\n<p><a href=\"http:\/\/www.hhmi.org\/biointeractive\/classroom-activities-battling-beetles\">HHMI Original<\/a><\/p>\n<p><a href=\"https:\/\/docs.google.com\/document\/d\/18LofcFWsKNAXv6FvVDNzPKd6_bHZ10gikIcIs6y8U4g\/edit?usp=sharing\">My &#8220;Student Worksheet&#8221; Edit<\/a><\/p>\n<p><a href=\"https:\/\/drive.google.com\/open?id=1-jG2qDb7dvvrWzDq_ipfsdeVw3uPFiilvBmaYO24xks\">Lab Instructions Google Doc<\/a><\/p>\n<p><a href=\"https:\/\/drive.google.com\/file\/d\/0B-zFFpqi9NjxOE92cXZxdDhsVG8\/view?usp=sharing\">Lab Notebook Intro. from 2017-18<\/a><\/p>\n<p><a href=\"https:\/\/drive.google.com\/file\/d\/0B-zFFpqi9NjxY042VEpOOFI3T28\/view?usp=sharing\">Lab Notebook Data from 2017-18<\/a><\/p><\/blockquote>\n","protected":false},"excerpt":{"rendered":"<p>I really like the HHMI Biointeractive activity &#8220;Battling Beetles&#8221;. I have used it, in some iteration (see below), for the last 6 years to model certain aspects of natural selection. There is an extension where you can explore genetic drift and Hardy-Weinberg equilibrium calculations, though I have never done that with my 9th graders. If<br \/><a class=\"moretag\" href=\"https:\/\/www.kabt.org\/?p=5874\">+ Read More<\/a><\/p>\n","protected":false},"author":5666,"featured_media":5875,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_monsterinsights_skip_tracking":false,"_s2mail":"yes","_uf_show_specific_survey":0,"_uf_disable_surveys":false,"footnotes":""},"categories":[622,1,8],"tags":[715,59,716,714,717,340],"class_list":["post-5874","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-in-my-classroom","category-kabt-news","category-teaching-resources","tag-cross-cutting-concepts","tag-natural-selection","tag-patterns","tag-quantitative-biology","tag-simulation","tag-statistics"],"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.kabt.org\/index.php?rest_route=\/wp\/v2\/posts\/5874","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.kabt.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.kabt.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.kabt.org\/index.php?rest_route=\/wp\/v2\/users\/5666"}],"replies":[{"embeddable":true,"href":"https:\/\/www.kabt.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=5874"}],"version-history":[{"count":2,"href":"https:\/\/www.kabt.org\/index.php?rest_route=\/wp\/v2\/posts\/5874\/revisions"}],"predecessor-version":[{"id":5879,"href":"https:\/\/www.kabt.org\/index.php?rest_route=\/wp\/v2\/posts\/5874\/revisions\/5879"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.kabt.org\/index.php?rest_route=\/wp\/v2\/media\/5875"}],"wp:attachment":[{"href":"https:\/\/www.kabt.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=5874"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.kabt.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=5874"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.kabt.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=5874"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}