{"id":204,"date":"2024-01-04T19:12:16","date_gmt":"2024-01-04T19:12:16","guid":{"rendered":"https:\/\/ozer.gt\/log\/?p=204"},"modified":"2024-01-27T08:09:42","modified_gmt":"2024-01-27T08:09:42","slug":"dose-response-analysis-using-difference-in-differences","status":"publish","type":"post","link":"https:\/\/ozer.gt\/log\/2024\/01\/04\/dose-response-analysis-using-difference-in-differences\/","title":{"rendered":"Dose-response analysis using difference-in-differences"},"content":{"rendered":"<p>The dose-response work of Callaway, Goodman-Bacon, and <a id=\"ember3383\" class=\"ember-view\" href=\"https:\/\/www.linkedin.com\/in\/pedrohcsantanna\/\">Pedro Sant&#8217;Anna<\/a> seems to be coming along nicely. If you haven&#8217;t had enough of the parallel trends assumption, get ready for the &#8220;strong&#8221; parallel trends assumption!<\/p>\n<p>&#8220;\ud835\ude10\ud835\ude2f \ud835\ude35\ud835\ude29\ud835\ude2a\ud835\ude34 \ud835\ude31\ud835\ude22\ud835\ude31\ud835\ude26\ud835\ude33, \ud835\ude38\ud835\ude26 \ud835\ude25\ud835\ude2a\ud835\ude34\ud835\ude24\ud835\ude36\ud835\ude34\ud835\ude34 \ud835\ude22\ud835\ude2f \ud835\ude22\ud835\ude2d\ud835\ude35\ud835\ude26\ud835\ude33\ud835\ude2f\ud835\ude22\ud835\ude35\ud835\ude2a\ud835\ude37\ud835\ude26 \ud835\ude23\ud835\ude36\ud835\ude35 \ud835\ude35\ud835\ude3a\ud835\ude31\ud835\ude2a\ud835\ude24\ud835\ude22\ud835\ude2d\ud835\ude2d\ud835\ude3a \ud835\ude34\ud835\ude35\ud835\ude33\ud835\ude30\ud835\ude2f\ud835\ude28\ud835\ude26\ud835\ude33 \ud835\ude22\ud835\ude34\ud835\ude34\ud835\ude36\ud835\ude2e\ud835\ude31\ud835\ude35\ud835\ude2a\ud835\ude30\ud835\ude2f, \ud835\ude38\ud835\ude29\ud835\ude2a\ud835\ude24\ud835\ude29 \ud835\ude38\ud835\ude26 \ud835\ude24\ud835\ude22\ud835\ude2d\ud835\ude2d \ud835\ude34\ud835\ude35\ud835\ude33\ud835\ude30\ud835\ude2f\ud835\ude28 \ud835\ude31\ud835\ude22\ud835\ude33\ud835\ude22\ud835\ude2d\ud835\ude2d\ud835\ude26\ud835\ude2d \ud835\ude35\ud835\ude33\ud835\ude26\ud835\ude2f\ud835\ude25\ud835\ude34. \ud835\ude1a\ud835\ude35\ud835\ude33\ud835\ude30\ud835\ude2f\ud835\ude28 \ud835\ude31\ud835\ude22\ud835\ude33\ud835\ude22\ud835\ude2d\ud835\ude2d\ud835\ude26\ud835\ude2d \ud835\ude35\ud835\ude33\ud835\ude26\ud835\ude2f\ud835\ude25\ud835\ude34 \ud835\ude30\ud835\ude27\ud835\ude35\ud835\ude26\ud835\ude2f \ud835\ude33\ud835\ude26\ud835\ude34\ud835\ude35\ud835\ude33\ud835\ude2a\ud835\ude24\ud835\ude35\ud835\ude34 \ud835\ude35\ud835\ude33\ud835\ude26\ud835\ude22\ud835\ude35\ud835\ude2e\ud835\ude26\ud835\ude2f\ud835\ude35 \ud835\ude26\ud835\ude27\ud835\ude27\ud835\ude26\ud835\ude24\ud835\ude35 \ud835\ude29\ud835\ude26\ud835\ude35\ud835\ude26\ud835\ude33\ud835\ude30\ud835\ude28\ud835\ude26\ud835\ude2f\ud835\ude26\ud835\ude2a\ud835\ude35\ud835\ude3a \ud835\ude22\ud835\ude2f\ud835\ude25 \ud835\ude2b\ud835\ude36\ud835\ude34\ud835\ude35\ud835\ude2a\ud835\ude27\ud835\ude2a\ud835\ude26\ud835\ude34 \ud835\ude24\ud835\ude30\ud835\ude2e\ud835\ude31\ud835\ude22\ud835\ude33\ud835\ude2a\ud835\ude2f\ud835\ude28 \ud835\ude25\ud835\ude30\ud835\ude34\ud835\ude26 \ud835\ude28\ud835\ude33\ud835\ude30\ud835\ude36\ud835\ude31\ud835\ude34. \ud835\ude10\ud835\ude2f\ud835\ude35\ud835\ude36\ud835\ude2a\ud835\ude35\ud835\ude2a\ud835\ude37\ud835\ude26\ud835\ude2d\ud835\ude3a, \ud835\ude35\ud835\ude30 \ud835\ude23\ud835\ude26 \ud835\ude22 \ud835\ude28\ud835\ude30\ud835\ude30\ud835\ude25 \ud835\ude24\ud835\ude30\ud835\ude36\ud835\ude2f\ud835\ude35\ud835\ude26\ud835\ude33\ud835\ude27\ud835\ude22\ud835\ude24\ud835\ude35\ud835\ude36\ud835\ude22\ud835\ude2d, \ud835\ude2d\ud835\ude30\ud835\ude38\ud835\ude26\ud835\ude33-\ud835\ude25\ud835\ude30\ud835\ude34\ud835\ude26 \ud835\ude36\ud835\ude2f\ud835\ude2a\ud835\ude35\ud835\ude34 \ud835\ude2e\ud835\ude36\ud835\ude34\ud835\ude35 \ud835\ude33\ud835\ude26\ud835\ude27\ud835\ude2d\ud835\ude26\ud835\ude24\ud835\ude35 \ud835\ude29\ud835\ude30\ud835\ude38 \ud835\ude29\ud835\ude2a\ud835\ude28\ud835\ude29\ud835\ude26\ud835\ude33-\ud835\ude25\ud835\ude30\ud835\ude34\ud835\ude26 \ud835\ude36\ud835\ude2f\ud835\ude2a\ud835\ude35\ud835\ude34\u2019 \ud835\ude30\ud835\ude36\ud835\ude35\ud835\ude24\ud835\ude30\ud835\ude2e\ud835\ude26\ud835\ude34 \ud835\ude38\ud835\ude30\ud835\ude36\ud835\ude2d\ud835\ude25 \ud835\ude29\ud835\ude22\ud835\ude37\ud835\ude26 \ud835\ude24\ud835\ude29\ud835\ude22\ud835\ude2f\ud835\ude28\ud835\ude26\ud835\ude25 \ud835\ude38\ud835\ude2a\ud835\ude35\ud835\ude29\ud835\ude30\ud835\ude36\ud835\ude35 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\ud835\ude31\ud835\ude22\ud835\ude33\ud835\ude22\ud835\ude2d\ud835\ude2d\ud835\ude26\ud835\ude2d \ud835\ude35\ud835\ude33\ud835\ude26\ud835\ude2f\ud835\ude25\ud835\ude34 \ud835\ude22\ud835\ude34\ud835\ude34\ud835\ude36\ud835\ude2e\ud835\ude31\ud835\ude35\ud835\ude2a\ud835\ude30\ud835\ude2f, \ud835\ude24\ud835\ude30\ud835\ude2e\ud835\ude31\ud835\ude22\ud835\ude33\ud835\ude2a\ud835\ude34\ud835\ude30\ud835\ude2f\ud835\ude34 \ud835\ude22\ud835\ude24\ud835\ude33\ud835\ude30\ud835\ude34\ud835\ude34 \ud835\ude35\ud835\ude33\ud835\ude26\ud835\ude22\ud835\ude35\ud835\ude2e\ud835\ude26\ud835\ude2f\ud835\ude35 \ud835\ude25\ud835\ude30\ud835\ude34\ud835\ude22\ud835\ude28\ud835\ude26\ud835\ude34 \ud835\ude22\ud835\ude33\ud835\ude26 \u201c\ud835\ude24\ud835\ude30\ud835\ude2f\ud835\ude35\ud835\ude22\ud835\ude2e\ud835\ude2a\ud835\ude2f\ud835\ude22\ud835\ude35\ud835\ude26\ud835\ude25\u201d \ud835\ude38\ud835\ude2a\ud835\ude35\ud835\ude29 \ud835\ude34\ud835\ude26\ud835\ude2d\ud835\ude26\ud835\ude24\ud835\ude35\ud835\ude2a\ud835\ude30\ud835\ude2f \ud835\ude23\ud835\ude2a\ud835\ude22\ud835\ude34 \ud835\ude33\ud835\ude26\ud835\ude2d\ud835\ude22\ud835\ude35\ud835\ude26\ud835\ude25 \ud835\ude35\ud835\ude30 \ud835\ude35\ud835\ude33\ud835\ude26\ud835\ude22\ud835\ude35\ud835\ude2e\ud835\ude26\ud835\ude2f\ud835\ude35 \ud835\ude26\ud835\ude27\ud835\ude27\ud835\ude26\ud835\ude24\ud835\ude35 \ud835\ude29\ud835\ude26\ud835\ude35\ud835\ude26\ud835\ude33\ud835\ude30\ud835\ude28\ud835\ude26\ud835\ude2f\ud835\ude26\ud835\ude2a\ud835\ude35\ud835\ude3a. \ud835\ude1b\ud835\ude29\ud835\ude36\ud835\ude34, \ud835\ude38\ud835\ude2a\ud835\ude35\ud835\ude29\ud835\ude30\ud835\ude36\ud835\ude35 \ud835\ude22\ud835\ude25\ud835\ude25\ud835\ude2a\ud835\ude35\ud835\ude2a\ud835\ude30\ud835\ude2f\ud835\ude22\ud835\ude2d \ud835\ude34\ud835\ude35\ud835\ude33\ud835\ude36\ud835\ude24\ud835\ude35\ud835\ude36\ud835\ude33\ud835\ude26, \ud835\ude24\ud835\ude30\ud835\ude2e\ud835\ude31\ud835\ude22\ud835\ude33\ud835\ude2a\ud835\ude34\ud835\ude30\ud835\ude2f \ud835\ude22\ud835\ude24\ud835\ude33\ud835\ude30\ud835\ude34\ud835\ude34 \ud835\ude25\ud835\ude30\ud835\ude34\ud835\ude22\ud835\ude28\ud835\ude26\ud835\ude34 \ud835\ude2e\ud835\ude22\ud835\ude3a \ud835\ude2f\ud835\ude30\ud835\ude35 \ud835\ude2a\ud835\ude25\ud835\ude26\ud835\ude2f\ud835\ude35\ud835\ude2a\ud835\ude27\ud835\ude3a \ud835\ude24\ud835\ude22\ud835\ude36\ud835\ude34\ud835\ude22\ud835\ude2d \ud835\ude26\ud835\ude27\ud835\ude27\ud835\ude26\ud835\ude24\ud835\ude35\ud835\ude34. \ud835\ude1b\ud835\ude29\ud835\ude26 \ud835\ude31\ud835\ude2d\ud835\ude22\ud835\ude36\ud835\ude34\ud835\ude2a\ud835\ude23\ud835\ude2a\ud835\ude2d\ud835\ude2a\ud835\ude35\ud835\ude3a \ud835\ude30\ud835\ude27 \ud835\ude34\ud835\ude35\ud835\ude33\ud835\ude30\ud835\ude2f\ud835\ude28 \ud835\ude31\ud835\ude22\ud835\ude33\ud835\ude22\ud835\ude2d\ud835\ude2d\ud835\ude26\ud835\ude2d \ud835\ude35\ud835\ude33\ud835\ude26\ud835\ude2f\ud835\ude25\ud835\ude34 \ud835\ude25\ud835\ude26\ud835\ude31\ud835\ude26\ud835\ude2f\ud835\ude25\ud835\ude34 \ud835\ude30\ud835\ude2f \ud835\ude35\ud835\ude29\ud835\ude26 \ud835\ude26\ud835\ude2e\ud835\ude31\ud835\ude2a\ud835\ude33\ud835\ude2a\ud835\ude24\ud835\ude22\ud835\ude2d \ud835\ude24\ud835\ude30\ud835\ude2f\ud835\ude35\ud835\ude26\ud835\ude39\ud835\ude35 \ud835\ude30\ud835\ude27 \ud835\ude35\ud835\ude29\ud835\ude26 \ud835\ude22\ud835\ude2f\ud835\ude22\ud835\ude2d\ud835\ude3a\ud835\ude34\ud835\ude2a\ud835\ude34, \ud835\ude22\ud835\ude2f\ud835\ude25 \ud835\ude38\ud835\ude26 \ud835\ude25\ud835\ude2a\ud835\ude34\ud835\ude24\ud835\ude36\ud835\ude34\ud835\ude34 \ud835\ude34\ud835\ude30\ud835\ude2e\ud835\ude26 \ud835\ude27\ud835\ude22\ud835\ude2d\ud835\ude34\ud835\ude2a\ud835\ude27\ud835\ude2a\ud835\ude24\ud835\ude22\ud835\ude35\ud835\ude2a\ud835\ude30\ud835\ude2f \ud835\ude34\ud835\ude35\ud835\ude33\ud835\ude22\ud835\ude35\ud835\ude26\ud835\ude28\ud835\ude2a\ud835\ude26\ud835\ude34 \ud835\ude35\ud835\ude29\ud835\ude22\ud835\ude35 \ud835\ude24\ud835\ude22\ud835\ude2f \ud835\ude23\ud835\ude26 \ud835\ude36\ud835\ude34\ud835\ude26\ud835\ude25 \ud835\ude35\ud835\ude30 \ud835\ude22\ud835\ude34\ud835\ude34\ud835\ude26\ud835\ude34\ud835\ude34 \ud835\ude2a\ud835\ude35.&#8221;<\/p>\n<p><a href=\"https:\/\/www.linkedin.com\/feed\/update\/urn:li:activity:7148733804927488000\/\">Source<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>The dose-response work of Callaway, Goodman-Bacon, and Pedro Sant&#8217;Anna seems to be coming along nicely. If you haven&#8217;t had enough of the parallel trends assumption, get ready for the &#8220;strong&#8221; parallel trends assumption! &#8220;\ud835\ude10\ud835\ude2f \ud835\ude35\ud835\ude29\ud835\ude2a\ud835\ude34 \ud835\ude31\ud835\ude22\ud835\ude31\ud835\ude26\ud835\ude33, \ud835\ude38\ud835\ude26 \ud835\ude25\ud835\ude2a\ud835\ude34\ud835\ude24\ud835\ude36\ud835\ude34\ud835\ude34 \ud835\ude22\ud835\ude2f \ud835\ude22\ud835\ude2d\ud835\ude35\ud835\ude26\ud835\ude33\ud835\ude2f\ud835\ude22\ud835\ude35\ud835\ude2a\ud835\ude37\ud835\ude26 \ud835\ude23\ud835\ude36\ud835\ude35 \ud835\ude35\ud835\ude3a\ud835\ude31\ud835\ude2a\ud835\ude24\ud835\ude22\ud835\ude2d\ud835\ude2d\ud835\ude3a \ud835\ude34\ud835\ude35\ud835\ude33\ud835\ude30\ud835\ude2f\ud835\ude28\ud835\ude26\ud835\ude33 \ud835\ude22\ud835\ude34\ud835\ude34\ud835\ude36\ud835\ude2e\ud835\ude31\ud835\ude35\ud835\ude2a\ud835\ude30\ud835\ude2f, \ud835\ude38\ud835\ude29\ud835\ude2a\ud835\ude24\ud835\ude29 \ud835\ude38\ud835\ude26 \ud835\ude24\ud835\ude22\ud835\ude2d\ud835\ude2d \ud835\ude34\ud835\ude35\ud835\ude33\ud835\ude30\ud835\ude2f\ud835\ude28 \ud835\ude31\ud835\ude22\ud835\ude33\ud835\ude22\ud835\ude2d\ud835\ude2d\ud835\ude26\ud835\ude2d \ud835\ude35\ud835\ude33\ud835\ude26\ud835\ude2f\ud835\ude25\ud835\ude34. \ud835\ude1a\ud835\ude35\ud835\ude33\ud835\ude30\ud835\ude2f\ud835\ude28 \ud835\ude31\ud835\ude22\ud835\ude33\ud835\ude22\ud835\ude2d\ud835\ude2d\ud835\ude26\ud835\ude2d \ud835\ude35\ud835\ude33\ud835\ude26\ud835\ude2f\ud835\ude25\ud835\ude34 \ud835\ude30\ud835\ude27\ud835\ude35\ud835\ude26\ud835\ude2f \ud835\ude33\ud835\ude26\ud835\ude34\ud835\ude35\ud835\ude33\ud835\ude2a\ud835\ude24\ud835\ude35\ud835\ude34 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"cybocfi_hide_featured_image":"","footnotes":""},"categories":[1],"tags":[],"class_list":["post-204","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/ozer.gt\/log\/wp-json\/wp\/v2\/posts\/204","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/ozer.gt\/log\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/ozer.gt\/log\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/ozer.gt\/log\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/ozer.gt\/log\/wp-json\/wp\/v2\/comments?post=204"}],"version-history":[{"count":1,"href":"https:\/\/ozer.gt\/log\/wp-json\/wp\/v2\/posts\/204\/revisions"}],"predecessor-version":[{"id":205,"href":"https:\/\/ozer.gt\/log\/wp-json\/wp\/v2\/posts\/204\/revisions\/205"}],"wp:attachment":[{"href":"https:\/\/ozer.gt\/log\/wp-json\/wp\/v2\/media?parent=204"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/ozer.gt\/log\/wp-json\/wp\/v2\/categories?post=204"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/ozer.gt\/log\/wp-json\/wp\/v2\/tags?post=204"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}