{"id":47405,"date":"2024-06-19T02:50:00","date_gmt":"2024-06-19T02:50:00","guid":{"rendered":"https:\/\/www.oracletutoring.ca\/blog\/?p=47405"},"modified":"2024-06-19T02:50:01","modified_gmt":"2024-06-19T02:50:01","slug":"statistics-the-two-five-criteria","status":"publish","type":"post","link":"https:\/\/www.oracletutoring.ca\/blog\/statistics-the-two-five-criteria\/","title":{"rendered":"Statistics: the two &#8220;five&#8221; criteria"},"content":{"rendered":"\n<h2>Self-tutoring about the binomial distribution: the tutor mentions a couple of criteria for approximating it to the normal distribution.<\/h2>\n<p>\nThe binomial, given enough trials, settles into a normal distribution. Yet, how many trials, or what other conditions, might suggest this is safe to assume for a given case?<\/p>\n<p>\nMy reading has reminded me that when np and n(1-p) are both greater than 5, one is fairly safe to assume the binomial distribution can be appropriately approximated to the normal one. Some people caution that, as p gets further from 0.5, it&#8217;s advisable to insist on a higher value than 5.<\/p>\n<p>\nSource:<\/p>\n<p><a href=\"https:\/\/stats.libretexts.org\/Courses\/Las_Positas_College\/Math_40%3A_Statistics_and_Probability\/06%3A_Continuous_Random_Variables_and_the_Normal_Distribution\/6.04%3A_Normal_Approximation_to_the_Binomial_Distribution\">stats.libretexts.org<\/a><\/p>\n<p><a href=\"https:\/\/real-statistics.com\/binomial-and-related-distributions\/relationship-binomial-and-normal-distributions\/#:~:text=Observation%3A%20We%20generally%20consider%20the,inequalities%20may%20be%20reduced%20somewhat.\">real-statistics.com<\/a><\/p>\nJack of <a href=\"https:\/\/www.oracletutoring.ca\">Oracle Tutoring by Jack and Diane,<\/a> Campbell River, BC.\n\n","protected":false},"excerpt":{"rendered":"<p>Self-tutoring about the binomial distribution: the tutor mentions a couple of criteria for approximating it to the normal distribution. The binomial, given enough trials, settles into a normal distribution. Yet, how many trials, or what other conditions, might suggest this &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"more-link\" href=\"https:\/\/www.oracletutoring.ca\/blog\/statistics-the-two-five-criteria\/\"> <span class=\"screen-reader-text\">Statistics: the two &#8220;five&#8221; criteria<\/span> Read More &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[19],"tags":[2332,2349],"class_list":["post-47405","post","type-post","status-publish","format-standard","hentry","category-statistics","tag-binomial-distribution","tag-when-can-you-use-normal-approximation-to-binomial-distribution"],"_links":{"self":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47405","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/comments?post=47405"}],"version-history":[{"count":2,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47405\/revisions"}],"predecessor-version":[{"id":47407,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/posts\/47405\/revisions\/47407"}],"wp:attachment":[{"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/media?parent=47405"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/categories?post=47405"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.oracletutoring.ca\/blog\/wp-json\/wp\/v2\/tags?post=47405"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}