{"id":9025,"date":"2023-05-17T10:01:11","date_gmt":"2023-05-17T14:01:11","guid":{"rendered":"https:\/\/www.planetsusan.org\/?p=9025"},"modified":"2023-05-21T06:42:28","modified_gmt":"2023-05-21T10:42:28","slug":"bayesian-analysis","status":"publish","type":"post","link":"https:\/\/www.planetsusan.org\/?p=9025","title":{"rendered":"Bayesian Analysis"},"content":{"rendered":"\n<p>What is it?  According to the website <em>Stata<\/em>, &#8220;Bayesian analysis is a statistical paradigm that answers research questions about unknown parameters using probability statements.&#8221; OK.  In English, please?<\/p>\n\n\n\n<p>There&#8217;s an equation, if that helps.  No, don&#8217;t have flashbacks to flunking Algebra.  This is pretty user friendly.  Here it is.<\/p>\n\n\n\n<p>The formula is:<strong>&nbsp;P (A|B) = P (B|A) x P (A) \/ P (B)<\/strong><a href=\"https:\/\/www.investopedia.com\/articles\/financial-theory\/09\/bayesian-methods-financial-modeling.asp\"><sup>2<\/sup><\/a><a href=\"https:\/\/www.indeed.com\/career-advice\/career-development\/bayes-formula\"><sup>3<\/sup><\/a><a href=\"https:\/\/www.omnicalculator.com\/statistics\/bayes-theorem\"><sup>4<\/sup><\/a>. Here, P (A|B) is the probability that A occurs if B occurs, P (B|A) is the probability that B may occur if A occurs, P (A) is the probability of event A, and P (B) is the probability of event B<a href=\"https:\/\/www.investopedia.com\/articles\/financial-theory\/09\/bayesian-methods-financial-modeling.asp\"><sup>2<\/sup><\/a><a href=\"https:\/\/www.indeed.com\/career-advice\/career-development\/bayes-formula\"><sup>3<\/sup><\/a><a href=\"https:\/\/www.omnicalculator.com\/statistics\/bayes-theorem\"><sup>4<\/sup><\/a>. The formula is most often used to calculate what is called the posterior probability, which is the conditional probability of a future uncertain event that is based upon relevant evidence relating to it historically.<\/p>\n\n\n\n<p>Doesn&#8217;t help much, huh?  OK, the trick is in defining A and B.  P obviously stands for probability. Let&#8217;s try it this way.  Call A the probability that the Democrats won&#8217;t make a deal.  Then, logically, B would be the Republicans say No to a deal.  So let&#8217;s plug that in and discuss.<\/p>\n\n\n\n<p>P(A\/B) = 0.95 x (0.5\/0.75) = 0.63<\/p>\n\n\n\n<p>So according to my calculations, there is a 63% likelihood of both parties failing to make a deal.  Where did I get this? <\/p>\n\n\n\n<p>The likelihood of Republicans walking away if the Democrats refuse to deal is 95% &#8211; there&#8217;s no way McCarthy can blink, right? The probability of the Democrats refusing to deal is 50%, still fairly substantial because of the politics of increasing work requirements with Medicaid amongst liberal Dems.  The likelihood that Republicans refuse a deal is higher at 75%. Duh. Do the math and you get 63% likelihood of a default.  That answers my question posed in my dream diary.  It was 40% a while ago, so that number feels about right to me.  Unless something major changes (like the market crashes or the government runs out of money before 6\/1), odds are we will default.   That is not very encouraging, is it?<\/p>\n\n\n\n<p>What happens then?  Already talked about that, so no need to beat the dead horse.  Ouch &#8211; just watched <em>The Godfather <\/em>for about the sixth time last night, so dead horses images are vivid right now.  <\/p>\n\n\n\n<p>When there is no immediate response from the world financial markets, there will be a miss in Social Security payment &#8211; one check late.  Can you hear the howling?  Can you picture the media frenzy?  All the while, real stuff is happening in the world that we aren&#8217;t paying any attention to.  That is foolish, if not downright dangerous.  <\/p>\n\n\n\n<p>What do we need to turn this around?  Ganas..desire.  Somebody has to stand up and say enough is enough and stop this madness.  Who will do that?  I am a small voice in the wilderness, but I feel like I&#8217;ve been the Cassandra in the room.  How &#8217;bout you?<\/p>\n\n\n\n<p>UPDATE 5\/21:  Did another quick analysis yesterday.  The odds are now 75% that the government will default.  Things are getting worse.  Playing with fire.  Check it out<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><a href=\"https:\/\/www.planetsusan.org\/wp-content\/uploads\/2023\/05\/Debt-ceiling-disaster.jpeg\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"698\" src=\"https:\/\/www.planetsusan.org\/wp-content\/uploads\/2023\/05\/Debt-ceiling-disaster-1024x698.jpeg\" alt=\"\" class=\"wp-image-9034\" srcset=\"https:\/\/www.planetsusan.org\/wp-content\/uploads\/2023\/05\/Debt-ceiling-disaster-1024x698.jpeg 1024w, https:\/\/www.planetsusan.org\/wp-content\/uploads\/2023\/05\/Debt-ceiling-disaster-300x205.jpeg 300w, https:\/\/www.planetsusan.org\/wp-content\/uploads\/2023\/05\/Debt-ceiling-disaster-768x524.jpeg 768w, https:\/\/www.planetsusan.org\/wp-content\/uploads\/2023\/05\/Debt-ceiling-disaster-440x300.jpeg 440w, https:\/\/www.planetsusan.org\/wp-content\/uploads\/2023\/05\/Debt-ceiling-disaster.jpeg 1160w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n\n\n\n<p>Thanks to the Washington Post for the Cartoons of the week, source of the image.  Says a lot, eh?<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is it? According to the website Stata, &#8220;Bayesian analysis is a statistical paradigm that answers research questions about unknown parameters using probability statements.&#8221; OK. In English, please? There&#8217;s an equation, if that helps. No, don&#8217;t have flashbacks to flunking &hellip; <a href=\"https:\/\/www.planetsusan.org\/?p=9025\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-9025","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/www.planetsusan.org\/index.php?rest_route=\/wp\/v2\/posts\/9025","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.planetsusan.org\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.planetsusan.org\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.planetsusan.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.planetsusan.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=9025"}],"version-history":[{"count":3,"href":"https:\/\/www.planetsusan.org\/index.php?rest_route=\/wp\/v2\/posts\/9025\/revisions"}],"predecessor-version":[{"id":9035,"href":"https:\/\/www.planetsusan.org\/index.php?rest_route=\/wp\/v2\/posts\/9025\/revisions\/9035"}],"wp:attachment":[{"href":"https:\/\/www.planetsusan.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=9025"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.planetsusan.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=9025"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.planetsusan.org\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=9025"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}