{"id":1520,"date":"2023-07-26T01:20:23","date_gmt":"2023-07-26T01:20:23","guid":{"rendered":"https:\/\/statorials.org\/pt\/media-marginal\/"},"modified":"2023-07-26T01:20:23","modified_gmt":"2023-07-26T01:20:23","slug":"media-marginal","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/media-marginal\/","title":{"rendered":"O que \u00e9 uma m\u00e9dia marginal? (defini\u00e7\u00e3o e #038; exemplo)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Em uma tabela de conting\u00eancia, as <strong>m\u00e9dias marginais<\/strong> de uma vari\u00e1vel s\u00e3o as m\u00e9dias dessa vari\u00e1vel calculadas em cada n\u00edvel da outra vari\u00e1vel.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Como o pr\u00f3prio nome sugere, estas m\u00e9dias aparecem nas <strong>margens<\/strong> da tabela de conting\u00eancia.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15075 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne9.png\" alt=\"\" width=\"522\" height=\"153\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O exemplo a seguir mostra como calcular as m\u00e9dias marginais para uma determinada tabela de conting\u00eancia.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo: C\u00e1lculo de m\u00e9dias marginais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A tabela de conting\u00eancia a seguir mostra a pontua\u00e7\u00e3o m\u00e9dia do exame de 100 alunos que usaram tr\u00eas t\u00e9cnicas de estudo diferentes para se preparar para o exame.<\/span><\/p>\n<p> <span style=\"color: #000000;\">As linhas mostram o sexo do aluno e as colunas mostram a t\u00e9cnica de estudo utilizada:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15069 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne3.png\" alt=\"\" width=\"325\" height=\"104\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">As <strong>m\u00e9dias marginais de g\u00e9nero<\/strong> s\u00e3o simplesmente as m\u00e9dias de cada n\u00edvel de g\u00e9nero calculadas para cada n\u00edvel de t\u00e9cnica de aprendizagem.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, a pontua\u00e7\u00e3o m\u00e9dia marginal do exame para homens \u00e9 calculada da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\">M\u00e9dia marginal para homens: (79,5 + 88,7 + 89,2) \/ 3 = <strong>85,8<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15070 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne4.png\" alt=\"\" width=\"385\" height=\"102\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Da mesma forma, a pontua\u00e7\u00e3o m\u00e9dia marginal do exame para mulheres \u00e9 calculada da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\">M\u00e9dia marginal para mulheres: (88,3 + 87,7 + 90,6) \/ 3 = <strong>88,87<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15071 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne5.png\" alt=\"\" width=\"390\" height=\"104\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">As <strong>m\u00e9dias marginais da t\u00e9cnica de estudo<\/strong> s\u00e3o simplesmente as m\u00e9dias de cada n\u00edvel de t\u00e9cnica de estudo calculadas em m\u00e9dia para cada n\u00edvel de g\u00e9nero.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, a nota m\u00e9dia marginal do exame dos alunos que usaram a t\u00e9cnica 1 \u00e9 calculada da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\">M\u00e9dia marginal da t\u00e9cnica 1: (79,5 + 88,3) \/ 2 = <strong>83,9<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15072 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne6.png\" alt=\"\" width=\"380\" height=\"130\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A nota m\u00e9dia marginal do exame dos alunos que utilizaram a t\u00e9cnica 2 \u00e9 calculada da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\">M\u00e9dia marginal da t\u00e9cnica 2: (88,7 + 87,7) \/ 2 = <strong>88,2<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-15073 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne7.png\" alt=\"\" width=\"389\" height=\"135\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A nota m\u00e9dia marginal do exame dos alunos que utilizaram a t\u00e9cnica 3 \u00e9 calculada da seguinte forma:<\/span><\/p>\n<p> <span style=\"color: #000000;\">M\u00e9dia marginal da t\u00e9cnica 3: (89,2 + 90,6) \/ 2 = <strong>89,9<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15074 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne8.png\" alt=\"\" width=\"390\" height=\"135\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Podemos ver que as m\u00e9dias marginais das duas vari\u00e1veis aparecem nas <strong>margens<\/strong> da tabela de conting\u00eancia:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15075 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne9.png\" alt=\"\" width=\"522\" height=\"153\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Por que recorrer a meios marginais?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">As m\u00e9dias marginais s\u00e3o \u00fateis porque nos informam o valor m\u00e9dio geral para um n\u00edvel espec\u00edfico de uma vari\u00e1vel.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, no cen\u00e1rio anterior, sab\u00edamos o seguinte:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">A pontua\u00e7\u00e3o m\u00e9dia do exame para homens que utilizaram a t\u00e9cnica de estudo 1 foi de 79,5.<\/span><\/li>\n<li> <span style=\"color: #000000;\">A nota m\u00e9dia do exame para homens que utilizaram a t\u00e9cnica de estudo 2 foi de 88,7.<\/span><\/li>\n<li> <span style=\"color: #000000;\">A pontua\u00e7\u00e3o m\u00e9dia do exame para homens que utilizaram a t\u00e9cnica de estudo 3 foi de 89,2.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Mas e se quis\u00e9ssemos apenas saber a pontua\u00e7\u00e3o m\u00e9dia geral dos homens?<\/span><\/p>\n<p> <span style=\"color: #000000;\">A m\u00e9dia marginal para os homens pode responder isto: A pontua\u00e7\u00e3o m\u00e9dia global para os homens foi <strong>de 85,8<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Da mesma forma, sab\u00edamos o seguinte:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">A pontua\u00e7\u00e3o m\u00e9dia do exame para homens que utilizaram a t\u00e9cnica de estudo 1 foi de 79,5.<\/span><\/li>\n<li> <span style=\"color: #000000;\">A nota m\u00e9dia do exame para as mulheres que utilizaram a t\u00e9cnica de estudo 1 foi de 88,3.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Mas e se quis\u00e9ssemos apenas saber a pontua\u00e7\u00e3o m\u00e9dia geral dos alunos que utilizaram a t\u00e9cnica de estudo 1?<\/span><\/p>\n<p> <span style=\"color: #000000;\">A m\u00e9dia marginal da t\u00e9cnica de estudo pode responder isto: A pontua\u00e7\u00e3o m\u00e9dia geral dos alunos que utilizaram a t\u00e9cnica de estudo 1 foi de <strong>83,9<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Essencialmente, as m\u00e9dias marginais nos fornecem uma maneira simples de compreender as m\u00e9dias para n\u00edveis espec\u00edficos de vari\u00e1veis.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/distribuicao-marginal\/\" target=\"_blank\" rel=\"noopener\">O que \u00e9 uma distribui\u00e7\u00e3o marginal?<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distribuicao-de-probabilidade-conjunta\/\" target=\"_blank\" rel=\"noopener\">O que \u00e9 uma distribui\u00e7\u00e3o conjunta?<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/distribuicao-condicional\/\" target=\"_blank\" rel=\"noopener\">O que \u00e9 uma distribui\u00e7\u00e3o condicional?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Em uma tabela de conting\u00eancia, as m\u00e9dias marginais de uma vari\u00e1vel s\u00e3o as m\u00e9dias dessa vari\u00e1vel calculadas em cada n\u00edvel da outra vari\u00e1vel. Como o pr\u00f3prio nome sugere, estas m\u00e9dias aparecem nas margens da tabela de conting\u00eancia. O exemplo a seguir mostra como calcular as m\u00e9dias marginais para uma determinada tabela de conting\u00eancia. Exemplo: C\u00e1lculo [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[11],"tags":[],"class_list":["post-1520","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>O que \u00e9 uma m\u00e9dia marginal? (Defini\u00e7\u00e3o e exemplo)<\/title>\n<meta name=\"description\" content=\"Este tutorial fornece uma explica\u00e7\u00e3o da m\u00e9dia marginal, incluindo uma defini\u00e7\u00e3o formal e um exemplo.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/pt\/media-marginal\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"O que \u00e9 uma m\u00e9dia marginal? (Defini\u00e7\u00e3o e exemplo)\" \/>\n<meta property=\"og:description\" content=\"Este tutorial fornece uma explica\u00e7\u00e3o da m\u00e9dia marginal, incluindo uma defini\u00e7\u00e3o formal e um exemplo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/media-marginal\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T01:20:23+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne9.png\" \/>\n<meta name=\"author\" content=\"Dr. benjamim anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Escrito por\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr. benjamim anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tempo estimado de leitura\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/media-marginal\/\",\"url\":\"https:\/\/statorials.org\/pt\/media-marginal\/\",\"name\":\"O que \u00e9 uma m\u00e9dia marginal? (Defini\u00e7\u00e3o e exemplo)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-26T01:20:23+00:00\",\"dateModified\":\"2023-07-26T01:20:23+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial fornece uma explica\u00e7\u00e3o da m\u00e9dia marginal, incluindo uma defini\u00e7\u00e3o formal e um exemplo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/media-marginal\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/media-marginal\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/media-marginal\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"O que \u00e9 uma m\u00e9dia marginal? (defini\u00e7\u00e3o e #038; exemplo)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pt\/#website\",\"url\":\"https:\/\/statorials.org\/pt\/\",\"name\":\"Statorials\",\"description\":\"O seu guia para a literacia estat\u00edstica!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pt\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pt-PT\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\",\"name\":\"Dr. benjamim anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pt-PT\",\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr. benjamim anderson\"},\"description\":\"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. Com vasta experi\u00eancia e conhecimento na \u00e1rea de estat\u00edstica, estou empenhado em compartilhar meu conhecimento para capacitar os alunos por meio de Statorials. Saber mais\",\"sameAs\":[\"https:\/\/statorials.org\/pt\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"O que \u00e9 uma m\u00e9dia marginal? (Defini\u00e7\u00e3o e exemplo)","description":"Este tutorial fornece uma explica\u00e7\u00e3o da m\u00e9dia marginal, incluindo uma defini\u00e7\u00e3o formal e um exemplo.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/pt\/media-marginal\/","og_locale":"pt_PT","og_type":"article","og_title":"O que \u00e9 uma m\u00e9dia marginal? (Defini\u00e7\u00e3o e exemplo)","og_description":"Este tutorial fornece uma explica\u00e7\u00e3o da m\u00e9dia marginal, incluindo uma defini\u00e7\u00e3o formal e um exemplo.","og_url":"https:\/\/statorials.org\/pt\/media-marginal\/","og_site_name":"Statorials","article_published_time":"2023-07-26T01:20:23+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/marginalmoyenne9.png"}],"author":"Dr. benjamim anderson","twitter_card":"summary_large_image","twitter_misc":{"Escrito por":"Dr. benjamim anderson","Tempo estimado de leitura":"3 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/pt\/media-marginal\/","url":"https:\/\/statorials.org\/pt\/media-marginal\/","name":"O que \u00e9 uma m\u00e9dia marginal? (Defini\u00e7\u00e3o e exemplo)","isPartOf":{"@id":"https:\/\/statorials.org\/pt\/#website"},"datePublished":"2023-07-26T01:20:23+00:00","dateModified":"2023-07-26T01:20:23+00:00","author":{"@id":"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666"},"description":"Este tutorial fornece uma explica\u00e7\u00e3o da m\u00e9dia marginal, incluindo uma defini\u00e7\u00e3o formal e um exemplo.","breadcrumb":{"@id":"https:\/\/statorials.org\/pt\/media-marginal\/#breadcrumb"},"inLanguage":"pt-PT","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/pt\/media-marginal\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/pt\/media-marginal\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Lar","item":"https:\/\/statorials.org\/pt\/"},{"@type":"ListItem","position":2,"name":"O que \u00e9 uma m\u00e9dia marginal? (defini\u00e7\u00e3o e #038; exemplo)"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/pt\/#website","url":"https:\/\/statorials.org\/pt\/","name":"Statorials","description":"O seu guia para a literacia estat\u00edstica!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/pt\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"pt-PT"},{"@type":"Person","@id":"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666","name":"Dr. benjamim anderson","image":{"@type":"ImageObject","inLanguage":"pt-PT","@id":"https:\/\/statorials.org\/pt\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/pt\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Dr. benjamim anderson"},"description":"Ol\u00e1, sou Benjamin, um professor aposentado de estat\u00edstica que se tornou professor dedicado na Statorials. Com vasta experi\u00eancia e conhecimento na \u00e1rea de estat\u00edstica, estou empenhado em compartilhar meu conhecimento para capacitar os alunos por meio de Statorials. Saber mais","sameAs":["https:\/\/statorials.org\/pt"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/1520","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/comments?post=1520"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/1520\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/media?parent=1520"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/categories?post=1520"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/tags?post=1520"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}