{"id":12,"date":"2000-06-10T00:00:08","date_gmt":"2000-06-10T07:00:08","guid":{"rendered":"http:\/\/www.mii.ucla.edu\/causality\/?p=21"},"modified":"2000-06-10T00:00:08","modified_gmt":"2000-06-10T07:00:08","slug":"on-functional-models-for-predicting-the-effect-of-actions","status":"publish","type":"post","link":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/2000\/06\/10\/on-functional-models-for-predicting-the-effect-of-actions\/","title":{"rendered":"On functional models for predicting the effect of actions"},"content":{"rendered":"<p><font><strong>From <\/strong><\/font><font><strong>Dennis Lindley:<\/strong><\/font><\/p>\n<p><font> In the part of Chapter 1 that you kindly sent me, a functional, causal model is clearly defined by a set of equations in (1.40).  The set provides a joint probability distribution of the variables using a specific order.  That distribution may be manipulated to obtain an equivalent probability specification in any other order.  I showed in my note that this probability structure could be described by a set of equations in an order different from that of (1.40).  (That proof may be wrong, though on p. 31 you suggest the result was known in &#39;93.) Consequently (1.40) can be replaced by a different set of equations. You tell us now to see what happens were a variable to be controlled; this in terms of the set, and I showed that different consequences flowed if different sets were used. How do I decide which set is correct?<\/font><\/p>\n","protected":false},"excerpt":{"rendered":"<p>From Dennis Lindley: In the part of Chapter 1 that you kindly sent me, a functional, causal model is clearly defined by a set of equations in (1.40). The set provides a joint probability distribution of the variables using a specific order. That distribution may be manipulated to obtain an equivalent probability specification in any [&hellip;]<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4,16],"tags":[],"class_list":["post-12","post","type-post","status-publish","format-standard","hentry","category-book-j-pearl","category-general"],"_links":{"self":[{"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/posts\/12","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/comments?post=12"}],"version-history":[{"count":0,"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/posts\/12\/revisions"}],"wp:attachment":[{"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/media?parent=12"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/categories?post=12"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/causality.cs.ucla.edu\/blog\/index.php\/wp-json\/wp\/v2\/tags?post=12"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}