{"id":192,"date":"2023-10-23T09:00:22","date_gmt":"2023-10-23T07:00:22","guid":{"rendered":"https:\/\/arnaud.collignan.net\/blog\/?p=192"},"modified":"2023-10-19T18:23:47","modified_gmt":"2023-10-19T16:23:47","slug":"paradoxe-de-simpson","status":"publish","type":"post","link":"https:\/\/arnaud.collignan.net\/blog\/2023\/10\/23\/paradoxe-de-simpson\/","title":{"rendered":"Paradoxe de Simpson"},"content":{"rendered":"\n<p>Ce que l&#8217;on nomme le paradoxe de Simpson est un biais statistique, qui permet d&#8217;observer une tendance dans un groupe donn\u00e9, lors que l&#8217;on observe la tendance inverse si on le subdivise en plusieurs sous-groupes.<\/p>\n\n\n\n<p>Voici un exemple (imaginaire). Ci-dessous, la proportion de ch\u00f4mage dans la population totale, mais \u00e9galement en la r\u00e9partissant en deux sous-groupes : &#8220;population dipl\u00f4m\u00e9e&#8221; et &#8220;population non dipl\u00f4m\u00e9e&#8221;.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><thead><tr><th>Proportion de ch\u00f4mage dans&#8230;<\/th><th>1982<\/th><th>2009<\/th><\/tr><\/thead><tbody><tr><td>Population diplom\u00e9e<\/td><td>8.6%<\/td><td>8.9%<\/td><\/tr><tr><td>Population non dipl\u00f4m\u00e9e<\/td><td>13.6%<\/td><td>13.9%<\/td><\/tr><\/tbody><tfoot><tr><td>Population totale<\/td><td>12.35%<\/td><td>11.9%<\/td><\/tr><\/tfoot><\/table><\/figure>\n\n\n\n<p>Le taux de ch\u00f4mage augmente dans chaque sous-groupe, alors qu&#8217;il diminue dans la population totale. Aucune erreur, un calcul (disponible dans la source ci-dessous) permet de mettre en \u00e9vidence ce que l&#8217;on appelle le <strong>facteur de confusion<\/strong> : la proportion  des sous-groupes \u00e9volue entre 1982 et 2009 (respectivement 25% de dipl\u00f4m\u00e9s, puis 56%). Ce facteur de confusion (donn\u00e9e cach\u00e9e dans les chiffres, mais pourtant bien pr\u00e9sente) permet ainsi de donner l&#8217;illusion de tendances invers\u00e9es.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ce que l&#8217;on nomme le paradoxe de Simpson est un biais statistique, qui permet d&#8217;observer une tendance dans un groupe donn\u00e9, lors que l&#8217;on observe&#8230;<\/p>\n<div class=\"more-link-wrapper\"><a class=\"more-link\" href=\"https:\/\/arnaud.collignan.net\/blog\/2023\/10\/23\/paradoxe-de-simpson\/\">Lire la suite&#8230;<span class=\"screen-reader-text\">Paradoxe de Simpson<\/span><\/a><\/div>\n","protected":false},"author":1,"featured_media":422,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[55],"tags":[25,36,6],"class_list":["post-192","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-mathematiques","tag-analyse","tag-calcul","tag-reflexion","entry"],"acf":{"auteur_de_limage":"Artem Podrez","url_de_lauteur_de_limage":"https:\/\/www.pexels.com\/fr-fr\/photo\/mains-technologie-affaires-porter-5716025\/","source":"Nathalie W.","url_de_la_source":"https:\/\/fr.linkedin.com\/in\/nathaliewalle\/fr","bibliographie":"Ekhorizon","url_de_la_bibliographie":"https:\/\/www.ekhorizon.com\/index.php\/2016\/04\/24\/16241-paradoxe-de-simpson\/"},"_links":{"self":[{"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/posts\/192","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/comments?post=192"}],"version-history":[{"count":6,"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/posts\/192\/revisions"}],"predecessor-version":[{"id":426,"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/posts\/192\/revisions\/426"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/media\/422"}],"wp:attachment":[{"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/media?parent=192"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/categories?post=192"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/arnaud.collignan.net\/blog\/wp-json\/wp\/v2\/tags?post=192"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}