{"id":1921,"date":"2019-03-25T06:30:54","date_gmt":"2019-03-25T06:30:54","guid":{"rendered":"https:\/\/www.aiproblog.com\/index.php\/2019\/03\/25\/determining-sample-size-in-one-picture\/"},"modified":"2019-03-25T06:30:54","modified_gmt":"2019-03-25T06:30:54","slug":"determining-sample-size-in-one-picture","status":"publish","type":"post","link":"https:\/\/www.aiproblog.com\/index.php\/2019\/03\/25\/determining-sample-size-in-one-picture\/","title":{"rendered":"Determining Sample Size in One Picture"},"content":{"rendered":"<p>Author: Stephanie Glen<\/p>\n<div>\n<p>Determining sample sizes is a challenging undertaking. For simplicity, I&#8217;ve limited this picture to the one of the most common testing situation: <strong>testing for <a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/mean-difference\/\" target=\"_blank\" rel=\"noopener noreferrer\">differences in means<\/a><\/strong>. Some assumptions have been made (for example, <a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/assumption-of-normality-test\/\" target=\"_blank\" rel=\"noopener noreferrer\">normality<\/a>\u00a0and equal sample sizes). Additionally, the formulas shown are for <a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/probability-and-statistics\/hypothesis-testing\/one-tailed-test-or-two\/\" target=\"_blank\" rel=\"noopener noreferrer\">one-tailed tests<\/a>. Usually, a small tweak (e.g. replacing Z<sub>\u03b1<\/sub> by Z<sub>\u03b1<\/sub>\/2) is all that&#8217;s required for two-tailed tests.<\/p>\n<p><a href=\"https:\/\/storage.ning.com\/topology\/rest\/1.0\/file\/get\/1469218259?profile=original\" target=\"_blank\" rel=\"noopener noreferrer\"><img decoding=\"async\" src=\"https:\/\/storage.ning.com\/topology\/rest\/1.0\/file\/get\/1469218259?profile=RESIZE_710x\" class=\"align-full\"><\/a><\/p>\n<p style=\"text-align: center;\"><em>Click on the picture to zoom in<\/em><\/p>\n<p>The picture shows the traditional (frequentist) route for determining sample size. Another possible route is to use Bayesian methods. Although becoming more popular, none of the major software programs include those methods and&#8211;unlike the <a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/frequentist-statistics\/\" target=\"_blank\" rel=\"noopener noreferrer\">frequentist<\/a>\u00a0route\u2014no standard Bayesian methods exist for determining sample size. If you&#8217;re interested in <a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/bayesian-statistics-probability\/\" target=\"_blank\" rel=\"noopener noreferrer\">Bayesian<\/a>\u00a0methods, refer to Chapter 13 in Chow, et al, 2008.<\/p>\n<h2>Further Information:<\/h2>\n<ul>\n<li><a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/what-is-an-alpha-level\/\" target=\"_blank\" rel=\"noopener noreferrer\">Alpha level<\/a><\/li>\n<li><a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/beta-level\/\" target=\"_blank\" rel=\"noopener noreferrer\">Beta Level<\/a><\/li>\n<li><a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/probability-and-statistics\/null-hypothesis\/\" target=\"_blank\" rel=\"noopener noreferrer\">Null hypothesis<\/a><\/li>\n<li><a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/probability-and-statistics\/standard-deviation\/\" target=\"_blank\" rel=\"noopener noreferrer\">Standard Deviation<\/a><\/li>\n<li><a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/probability-and-statistics\/t-distribution\/t-score-formula\/\" target=\"_blank\" rel=\"noopener noreferrer\">T-Score<\/a><\/li>\n<li><a href=\"https:\/\/www.statisticshowto.datasciencecentral.com\/probability-and-statistics\/z-score\/\" target=\"_blank\" rel=\"noopener noreferrer\">Z-score<\/a><\/li>\n<\/ul>\n<h2>References<\/h2>\n<p><span style=\"font-size: 10pt;\">Chow et. al (2017).\u00a0Sample Size Calculations in Clinical Research. CRC Press<\/span><\/p>\n<p><span style=\"font-size: 10pt;\"><span class=\"gb-title-box-title\">Ryan, T. (2013). Sample Size Determination and Power. Wiley.<\/span><\/span><\/p>\n<p><span style=\"font-size: 14pt;\"><span class=\"gb-title-box-title\"><b>DSC Resources<\/b><\/span><\/span><\/p>\n<ul>\n<li><a href=\"https:\/\/www.datasciencecentral.com\/profiles\/blogs\/new-books-and-resources-for-dsc-members\">Free Book and Resources for DSC Members<\/a><\/li>\n<li><a href=\"https:\/\/www.datasciencecentral.com\/profiles\/blogs\/decomposition-of-statistical-distributions-using-mixture-models-a\">New Perspectives on Statistical Distributions and Deep Learning<\/a><\/li>\n<li><a href=\"https:\/\/www.datasciencecentral.com\/profiles\/blogs\/data-science-wizardry\">Time series, Growth Modeling and Data Science Wizardy<\/a><\/li>\n<li><a href=\"https:\/\/www.datasciencecentral.com\/page\/search?q=statistical+concepts\">Statistical Concepts Explained in Simple English<\/a><\/li>\n<li><a href=\"https:\/\/www.datasciencecentral.com\/page\/search?q=in+one+pictures\">Machine Learning Concepts Explained in One Picture<\/a><\/li>\n<li><a href=\"https:\/\/www.datasciencecentral.com\/profiles\/blogs\/comprehensive-repository-of-data-science-and-ml-resources\">Comprehensive Repository of Data Science and ML Resources<\/a><\/li>\n<li><a href=\"https:\/\/www.datasciencecentral.com\/profiles\/blogs\/advanced-machine-learning-with-basic-excel\">Advanced Machine Learning with Basic Excel<\/a><\/li>\n<li><a href=\"https:\/\/www.datasciencecentral.com\/profiles\/blogs\/difference-between-machine-learning-data-science-ai-deep-learning\">Difference between ML, Data Science, AI, Deep Learning, and Statistics<\/a><\/li>\n<li><a href=\"https:\/\/www.datasciencecentral.com\/profiles\/blogs\/my-data-science-machine-learning-and-related-articles\">Selected Business Analytics, Data Science and ML articles<\/a><\/li>\n<li><a href=\"https:\/\/www.datasciencecentral.com\/profiles\/blogs\/how-to-automatically-determine-the-number-of-clusters-in-your-dat\">How to Automatically Determine the Number of Clusters in your Data<\/a><\/li>\n<li><a href=\"http:\/\/careers.analytictalent.com\/jobs\/products\">Hire a Data Scientist<\/a><span>\u00a0<\/span>|<span>\u00a0<\/span><a href=\"http:\/\/www.datasciencecentral.com\/page\/search?q=Python\">Search DSC<\/a><span>\u00a0<\/span>|<span>\u00a0<\/span><a href=\"http:\/\/www.analytictalent.com\/\">Find a Job<\/a><\/li>\n<li><a href=\"http:\/\/www.datasciencecentral.com\/profiles\/blog\/new\">Post a Blog<\/a><span>\u00a0<\/span>|<span>\u00a0<\/span><a href=\"http:\/\/www.datasciencecentral.com\/forum\/topic\/new\">Forum Questions<\/a><\/li>\n<\/ul>\n<p><span style=\"font-size: 10pt;\"><span class=\"gb-title-box-title\"><span>Follow us:\u00a0<\/span><a href=\"https:\/\/twitter.com\/DataScienceCtrl\">Twitter<\/a><span>\u00a0|\u00a0<\/span><a href=\"https:\/\/www.facebook.com\/DataScienceCentralCommunity\/\">Facebook<\/a><\/span><\/span><\/p>\n<\/div>\n<p><a href=\"https:\/\/www.datasciencecentral.com\/xn\/detail\/6448529:BlogPost:809976\">Go to Source<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Author: Stephanie Glen Determining sample sizes is a challenging undertaking. For simplicity, I&#8217;ve limited this picture to the one of the most common testing situation: [&hellip;] <span class=\"read-more-link\"><a class=\"read-more\" href=\"https:\/\/www.aiproblog.com\/index.php\/2019\/03\/25\/determining-sample-size-in-one-picture\/\">Read More<\/a><\/span><\/p>\n","protected":false},"author":1,"featured_media":457,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_bbp_topic_count":0,"_bbp_reply_count":0,"_bbp_total_topic_count":0,"_bbp_total_reply_count":0,"_bbp_voice_count":0,"_bbp_anonymous_reply_count":0,"_bbp_topic_count_hidden":0,"_bbp_reply_count_hidden":0,"_bbp_forum_subforum_count":0,"footnotes":""},"categories":[26],"tags":[],"_links":{"self":[{"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/posts\/1921"}],"collection":[{"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/comments?post=1921"}],"version-history":[{"count":0,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/posts\/1921\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/media\/467"}],"wp:attachment":[{"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/media?parent=1921"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/categories?post=1921"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.aiproblog.com\/index.php\/wp-json\/wp\/v2\/tags?post=1921"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}