{"id":825,"date":"2023-07-28T15:21:12","date_gmt":"2023-07-28T15:21:12","guid":{"rendered":"https:\/\/statorials.org\/pt\/correlacao-em-python\/"},"modified":"2023-07-28T15:21:12","modified_gmt":"2023-07-28T15:21:12","slug":"correlacao-em-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/correlacao-em-python\/","title":{"rendered":"Como calcular a correla\u00e7\u00e3o em python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Uma forma de quantificar a rela\u00e7\u00e3o entre duas vari\u00e1veis \u00e9 utilizar o <a href=\"https:\/\/statorials.org\/pt\/coeficiente-de-correlacao-de-pearson-1\/\" target=\"_blank\" rel=\"noopener\">coeficiente de correla\u00e7\u00e3o de Pearson<\/a> , que \u00e9 uma medida da associa\u00e7\u00e3o linear entre duas vari\u00e1veis <em>.<\/em> Sempre assume um valor entre -1 e 1 onde:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">-1 indica uma correla\u00e7\u00e3o linear perfeitamente negativa entre duas vari\u00e1veis<\/span><\/li>\n<li> <span style=\"color: #000000;\">0 indica nenhuma correla\u00e7\u00e3o linear entre duas vari\u00e1veis<\/span><\/li>\n<li> <span style=\"color: #000000;\">1 indica uma correla\u00e7\u00e3o linear perfeitamente positiva entre duas vari\u00e1veis<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Quanto mais longe o coeficiente de correla\u00e7\u00e3o estiver de zero, mais forte ser\u00e1 a rela\u00e7\u00e3o entre as duas vari\u00e1veis.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Este tutorial explica como calcular a correla\u00e7\u00e3o entre vari\u00e1veis em Python.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">Como calcular a correla\u00e7\u00e3o em Python<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Para calcular a correla\u00e7\u00e3o entre duas vari\u00e1veis em Python, podemos usar a fun\u00e7\u00e3o Numpy <strong>corrcoef()<\/strong> .<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n\nnp.random.seed(100)\n\n<span style=\"color: #008080;\">#create array of 50 random integers between 0 and 10<\/span>\nvar1 = np.random.randint(0, 10, 50)\n\n<span style=\"color: #008080;\">#create a positively correlated array with some random noise\n<\/span>var2 = var1 + np.random.normal(0, 10, 50)\n\n<span style=\"color: #008080;\">#calculate the correlation between the two arrays\n<\/span>np.corrcoef(var1, var2)\n\n[[ 1. 0.335]\n[ 0.335 1. ]]\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Percebe-se que o coeficiente de correla\u00e7\u00e3o entre essas duas vari\u00e1veis \u00e9 <strong>0,335<\/strong> , o que \u00e9 uma correla\u00e7\u00e3o positiva.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por padr\u00e3o, esta fun\u00e7\u00e3o produz uma matriz de coeficientes de correla\u00e7\u00e3o. Se quis\u00e9ssemos apenas retornar o coeficiente de correla\u00e7\u00e3o entre as duas vari\u00e1veis, poder\u00edamos usar a seguinte sintaxe:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>np.corrcoef(var1, var2)[0,1]\n\n0.335\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Para testar se essa correla\u00e7\u00e3o \u00e9 estatisticamente significativa, podemos calcular o valor p associado ao coeficiente de correla\u00e7\u00e3o de Pearson usando a fun\u00e7\u00e3o Scipy <strong>pearsonr()<\/strong> , que retorna o coeficiente de correla\u00e7\u00e3o de Pearson, bem como o valor p bicaudal.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">from<\/span> scipy.stats.stats <span style=\"color: #107d3f;\">import<\/span> pearsonr\n\npearsonr(var1, var2)\n\n(0.335, 0.017398)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">O coeficiente de correla\u00e7\u00e3o \u00e9 <strong>0,335<\/strong> e o valor p bicaudal \u00e9 <strong>0,017<\/strong> . Como este valor de p \u00e9 inferior a 0,05, concluir\u00edamos que existe uma correla\u00e7\u00e3o estatisticamente significativa entre as duas vari\u00e1veis.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Se voc\u00ea deseja calcular a correla\u00e7\u00e3o entre m\u00faltiplas vari\u00e1veis em um DataFrame do Pandas, voc\u00ea pode simplesmente usar a fun\u00e7\u00e3o <strong>.corr()<\/strong> .<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> pandas <span style=\"color: #107d3f;\">as<\/span> pd\n\ndata = pd.DataFrame(np.random.randint(0, 10, size=(5, 3)), columns=['A', 'B', 'C'])\ndata\n\n  ABC\n0 8 0 9\n1 4 0 7\n2 9 6 8\n3 1 8 1\n4 8 0 8\n\n<span style=\"color: #008080;\">#calculate correlation coefficients for all pairwise combinations\n<\/span>data.corr()\n\n          ABC\nA 1.000000 -0.775567 -0.493769\nB -0.775567 1.000000 0.000000\nC -0.493769 0.000000 1.000000\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">E se quiser apenas calcular a correla\u00e7\u00e3o entre duas vari\u00e1veis espec\u00edficas no DataFrame, voc\u00ea pode especificar as vari\u00e1veis:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data['A'].corr(data['B'])\n\n-0.775567\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como realizar outras tarefas comuns em Python:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/matriz-de-correlacao-python\/\" target=\"_blank\" rel=\"noopener\">Como criar uma matriz de correla\u00e7\u00e3o em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/correlacao-lanceiro-python\/\" target=\"_blank\" rel=\"noopener\">Como calcular a correla\u00e7\u00e3o de classifica\u00e7\u00e3o de Spearman em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/autocorrelacao-python\/\" target=\"_blank\" rel=\"noopener\">Como calcular a autocorrela\u00e7\u00e3o em Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Uma forma de quantificar a rela\u00e7\u00e3o entre duas vari\u00e1veis \u00e9 utilizar o coeficiente de correla\u00e7\u00e3o de Pearson , que \u00e9 uma medida da associa\u00e7\u00e3o linear entre duas vari\u00e1veis . Sempre assume um valor entre -1 e 1 onde: -1 indica uma correla\u00e7\u00e3o linear perfeitamente negativa entre duas vari\u00e1veis 0 indica nenhuma correla\u00e7\u00e3o linear entre duas [&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-825","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>Como calcular a correla\u00e7\u00e3o em Python - Estatologia<\/title>\n<meta name=\"description\" content=\"Uma explica\u00e7\u00e3o simples sobre como calcular a correla\u00e7\u00e3o entre vari\u00e1veis em Python.\" \/>\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\/correlacao-em-python\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como calcular a correla\u00e7\u00e3o em Python - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Uma explica\u00e7\u00e3o simples sobre como calcular a correla\u00e7\u00e3o entre vari\u00e1veis em Python.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/correlacao-em-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T15:21:12+00:00\" \/>\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\/correlacao-em-python\/\",\"url\":\"https:\/\/statorials.org\/pt\/correlacao-em-python\/\",\"name\":\"Como calcular a correla\u00e7\u00e3o em Python - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-28T15:21:12+00:00\",\"dateModified\":\"2023-07-28T15:21:12+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Uma explica\u00e7\u00e3o simples sobre como calcular a correla\u00e7\u00e3o entre vari\u00e1veis em Python.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/correlacao-em-python\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/correlacao-em-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/correlacao-em-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como calcular a correla\u00e7\u00e3o em python\"}]},{\"@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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