{"id":1375,"date":"2023-07-26T15:42:36","date_gmt":"2023-07-26T15:42:36","guid":{"rendered":"https:\/\/statorials.org\/pt\/teste-de-durbin-watson\/"},"modified":"2023-07-26T15:42:36","modified_gmt":"2023-07-26T15:42:36","slug":"teste-de-durbin-watson","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/teste-de-durbin-watson\/","title":{"rendered":"O teste durbin-watson: defini\u00e7\u00e3o e exemplo"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Um dos <a href=\"https:\/\/statorials.org\/pt\/suposicoes-de-regressao-linear\/\" target=\"_blank\" rel=\"noopener\">principais pressupostos da regress\u00e3o linear<\/a> \u00e9 que n\u00e3o h\u00e1 correla\u00e7\u00e3o entre <a href=\"https:\/\/statorials.org\/pt\/residuo\/\" target=\"_blank\" rel=\"noopener\">res\u00edduos<\/a> consecutivos. Em outras palavras, assumimos que os res\u00edduos s\u00e3o independentes.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Quando esta suposi\u00e7\u00e3o \u00e9 violada, \u00e9 prov\u00e1vel que os erros padr\u00e3o dos coeficientes num modelo de regress\u00e3o sejam subestimados, o que significa que as vari\u00e1veis preditoras t\u00eam maior probabilidade de serem consideradas <a href=\"https:\/\/statorials.org\/pt\/p-valores-significancia-estatistica\/\" target=\"_blank\" rel=\"noopener\">estatisticamente significativas<\/a> quando n\u00e3o o s\u00e3o. n\u00e3o s\u00e3o na realidade.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uma forma de determinar se esta suposi\u00e7\u00e3o \u00e9 atendida \u00e9 realizar um <strong>teste<\/strong> <strong>de Durbin-Watson<\/strong> , que \u00e9 utilizado para detectar a presen\u00e7a de autocorrela\u00e7\u00e3o nos res\u00edduos de uma regress\u00e3o.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Etapas para realizar um teste Durbin-Watson<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">O teste Durbin-Watson utiliza as seguintes suposi\u00e7\u00f5es:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> (hip\u00f3tese nula):<\/strong> N\u00e3o h\u00e1 correla\u00e7\u00e3o entre os res\u00edduos.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub> (hip\u00f3tese alternativa):<\/strong> Os res\u00edduos s\u00e3o autocorrelacionados.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A estat\u00edstica de teste para o teste de Durbin-Watson, geralmente denotada <em>d<\/em> , \u00e9 calculada da seguinte forma:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13640 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/durbinwatson1-1.png\" alt=\"Estat\u00edstica do teste Durbin Watson\" width=\"197\" height=\"66\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>T:<\/strong> O n\u00famero total de <a href=\"https:\/\/statorials.org\/pt\/observacao-em-estatisticas\/\" target=\"_blank\" rel=\"noopener\">observa\u00e7\u00f5es<\/a><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>e <sub>t<\/sub> :<\/strong> O t- <sup>\u00e9simo<\/sup> res\u00edduo do modelo de regress\u00e3o<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A estat\u00edstica de teste sempre varia de 0 a 4 onde:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em>d<\/em> = 2 indica que n\u00e3o h\u00e1 autocorrela\u00e7\u00e3o<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>d<\/em> &lt;2 indica correla\u00e7\u00e3o serial positiva<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>d<\/em> &gt; 2 indica correla\u00e7\u00e3o serial negativa<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Em geral, se <em>d<\/em> for menor que 1,5 ou maior que 2,5, existe potencialmente um s\u00e9rio problema de autocorrela\u00e7\u00e3o. Caso contr\u00e1rio, se <em>d<\/em> estiver entre 1,5 e 2,5, a autocorrela\u00e7\u00e3o provavelmente n\u00e3o ser\u00e1 uma preocupa\u00e7\u00e3o.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para determinar se uma estat\u00edstica do teste Durbin-Watson \u00e9 significativamente significativa em um determinado n\u00edvel alfa, voc\u00ea pode consultar esta tabela de valores cr\u00edticos.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Se o valor absoluto da estat\u00edstica do teste Durbin-Watson for maior que o valor encontrado na tabela, ent\u00e3o pode-se rejeitar a hip\u00f3tese nula do teste e concluir que a autocorrela\u00e7\u00e3o est\u00e1 presente.<\/span><\/p>\n<h3> <strong>O que fazer se a autocorrela\u00e7\u00e3o for detectada<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Se voc\u00ea rejeitar a hip\u00f3tese nula do teste de Durbin-Watson e concluir que a autocorrela\u00e7\u00e3o est\u00e1 presente nos res\u00edduos, ent\u00e3o voc\u00ea tem v\u00e1rias op\u00e7\u00f5es diferentes para corrigir esse problema se o considerar suficientemente s\u00e9rio:<\/span><\/p>\n<ul data-slot-rendered-dynamic=\"true\">\n<li> <span style=\"color: #000000;\">Para correla\u00e7\u00e3o serial positiva, considere adicionar defasagens da vari\u00e1vel dependente e\/ou independente ao modelo.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Para correla\u00e7\u00e3o serial negativa, certifique-se de que nenhuma de suas vari\u00e1veis esteja <em>atrasada demais<\/em> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">Para correla\u00e7\u00e3o sazonal, considere adicionar dummies sazonais ao modelo.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Estas estrat\u00e9gias s\u00e3o geralmente suficientes para remover o problema de autocorrela\u00e7\u00e3o.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplos de realiza\u00e7\u00e3o de um teste Durbin-Watson<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Para obter exemplos passo a passo de testes de Durbin-Watson, consulte estes tutoriais que explicam como realizar o teste usando diferentes softwares estat\u00edsticos:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/teste-de-durbin-watson-r\/\" target=\"_blank\" rel=\"noopener\">Como realizar um teste de Durbin-Watson em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/teste-durbin-watson-em-python\/\" target=\"_blank\" rel=\"noopener\">Como realizar um teste Durbin-Watson em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/teste-excel-durbin-watson\/\">Como realizar um teste Durbin-Watson no Excel<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Um dos principais pressupostos da regress\u00e3o linear \u00e9 que n\u00e3o h\u00e1 correla\u00e7\u00e3o entre res\u00edduos consecutivos. Em outras palavras, assumimos que os res\u00edduos s\u00e3o independentes. Quando esta suposi\u00e7\u00e3o \u00e9 violada, \u00e9 prov\u00e1vel que os erros padr\u00e3o dos coeficientes num modelo de regress\u00e3o sejam subestimados, o que significa que as vari\u00e1veis preditoras t\u00eam maior probabilidade de serem [&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-1375","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 teste Durbin-Watson: defini\u00e7\u00e3o e exemplo - Statorials<\/title>\n<meta name=\"description\" content=\"Este tutorial fornece uma introdu\u00e7\u00e3o r\u00e1pida ao teste Durbin Watson, 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\/teste-de-durbin-watson\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"O teste Durbin-Watson: defini\u00e7\u00e3o e exemplo - Statorials\" \/>\n<meta property=\"og:description\" content=\"Este tutorial fornece uma introdu\u00e7\u00e3o r\u00e1pida ao teste Durbin Watson, incluindo uma defini\u00e7\u00e3o formal e um exemplo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/teste-de-durbin-watson\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T15:42:36+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/durbinwatson1-1.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=\"2 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/teste-de-durbin-watson\/\",\"url\":\"https:\/\/statorials.org\/pt\/teste-de-durbin-watson\/\",\"name\":\"O teste Durbin-Watson: defini\u00e7\u00e3o e exemplo - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-26T15:42:36+00:00\",\"dateModified\":\"2023-07-26T15:42:36+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial fornece uma introdu\u00e7\u00e3o r\u00e1pida ao teste Durbin Watson, incluindo uma defini\u00e7\u00e3o formal e um exemplo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/teste-de-durbin-watson\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/teste-de-durbin-watson\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/teste-de-durbin-watson\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"O teste durbin-watson: defini\u00e7\u00e3o e 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. 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