{"id":2146,"date":"2017-05-22T17:31:37","date_gmt":"2017-05-23T00:31:37","guid":{"rendered":"http:\/\/zackmdavis.net\/blog\/?p=2146"},"modified":"2018-01-07T19:37:29","modified_gmt":"2018-01-08T03:37:29","slug":"making-sense","status":"publish","type":"post","link":"http:\/\/zackmdavis.net\/blog\/2017\/05\/making-sense\/","title":{"rendered":"Making Sense"},"content":{"rendered":"<p>&quot;... and when we want to look at just a subset of the variables in a joint distribution, we have to sum over all the other variables: the probability that <em>X<\/em> is blue, is equal to the probability that both <em>X<\/em> is blue and <em>Y<\/em> is blue, <em>plus<\/em> the probability that <em>X<\/em> is blue and <em>Y<\/em> is red, <em>plus<\/em> ... and so on for all the values <em>Y<\/em> could take. We call this <em>marginalizing over<\/em> <em>Y<\/em> to get the <em>marginal distribution<\/em> for <em>X<\/em>. Note that you can think about this as taking an expected value. Does that make sense?&quot;<\/p>\n<p>&quot;Ummm ... ye-es?&quot;<\/p>\n<p>&quot;You don't sound very confident.&quot;<\/p>\n<p>&quot;The exact referent of the word <em>that<\/em> in 'Does that make sense?' was ambiguous, because it was preceded by a long, multi-part explanation. <em>Most<\/em> of the potential referents made perfect sense, but my response had to average over <em>all<\/em> of them, hence the hesitation and uncertain tone.&quot;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>&quot;... and when we want to look at just a subset of the variables in a joint distribution, we have to sum over all the other variables: the probability that X is blue, is equal to the probability that both &hellip; <a href=\"http:\/\/zackmdavis.net\/blog\/2017\/05\/making-sense\/\">Continue reading <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[92],"_links":{"self":[{"href":"http:\/\/zackmdavis.net\/blog\/wp-json\/wp\/v2\/posts\/2146"}],"collection":[{"href":"http:\/\/zackmdavis.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"http:\/\/zackmdavis.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"http:\/\/zackmdavis.net\/blog\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"http:\/\/zackmdavis.net\/blog\/wp-json\/wp\/v2\/comments?post=2146"}],"version-history":[{"count":2,"href":"http:\/\/zackmdavis.net\/blog\/wp-json\/wp\/v2\/posts\/2146\/revisions"}],"predecessor-version":[{"id":2148,"href":"http:\/\/zackmdavis.net\/blog\/wp-json\/wp\/v2\/posts\/2146\/revisions\/2148"}],"wp:attachment":[{"href":"http:\/\/zackmdavis.net\/blog\/wp-json\/wp\/v2\/media?parent=2146"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"http:\/\/zackmdavis.net\/blog\/wp-json\/wp\/v2\/categories?post=2146"},{"taxonomy":"post_tag","embeddable":true,"href":"http:\/\/zackmdavis.net\/blog\/wp-json\/wp\/v2\/tags?post=2146"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}