{"id":4298,"date":"2023-07-12T04:44:09","date_gmt":"2023-07-12T04:44:09","guid":{"rendered":"https:\/\/statorials.org\/pt\/correlacao-de-pandas-com-valor-p\/"},"modified":"2023-07-12T04:44:09","modified_gmt":"2023-07-12T04:44:09","slug":"correlacao-de-pandas-com-valor-p","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/correlacao-de-pandas-com-valor-p\/","title":{"rendered":"Como encontrar o valor p do coeficiente de correla\u00e7\u00e3o em pandas"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/pt\/coeficiente-de-correlacao-de-pearson-1\/\" target=\"_blank\" rel=\"noopener\">O coeficiente de correla\u00e7\u00e3o de Pearson<\/a> pode ser usado para medir a associa\u00e7\u00e3o linear entre duas vari\u00e1veis.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Este coeficiente de correla\u00e7\u00e3o assume sempre um valor entre <strong>-1<\/strong> e <strong>1<\/strong> onde:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>-1<\/strong> : Correla\u00e7\u00e3o linear perfeitamente negativa entre duas vari\u00e1veis.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>0<\/strong> : Nenhuma correla\u00e7\u00e3o linear entre duas vari\u00e1veis.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1:<\/strong> Correla\u00e7\u00e3o linear perfeitamente positiva entre duas vari\u00e1veis.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Para determinar se um coeficiente de correla\u00e7\u00e3o \u00e9 estatisticamente significativo, voc\u00ea pode calcular a pontua\u00e7\u00e3o t e o valor p correspondentes.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A f\u00f3rmula para calcular o escore t de um coeficiente de correla\u00e7\u00e3o (r) \u00e9:<\/span><\/p>\n<p> <span style=\"color: #000000;\">t = r\u221a <span style=\"border-top: 1px solid black;\">n-2<\/span> \/ \u221a <span style=\"border-top: 1px solid black;\">1-r <sup>2<\/sup><\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">O valor p \u00e9 calculado como o valor p bicaudal correspondente para a distribui\u00e7\u00e3o t com n-2 graus de liberdade.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para calcular o valor p de um coeficiente de correla\u00e7\u00e3o de Pearson em pandas, voc\u00ea pode usar a fun\u00e7\u00e3o <strong>pearsonr()<\/strong> da biblioteca <strong>SciPy<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> pearsonr\n\npearsonr(df[' <span style=\"color: #ff0000;\">column1<\/span> '], df[' <span style=\"color: #ff0000;\">column2<\/span> '])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Esta fun\u00e7\u00e3o retornar\u00e1 o coeficiente de correla\u00e7\u00e3o de Pearson entre as colunas <strong>coluna1<\/strong> e <strong>coluna2<\/strong> junto com o valor p correspondente que nos diz se o coeficiente de correla\u00e7\u00e3o \u00e9 estatisticamente significativo ou n\u00e3o.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Se quiser calcular o valor p para o coeficiente de correla\u00e7\u00e3o de Pearson de cada combina\u00e7\u00e3o poss\u00edvel de colunas em pares em um DataFrame, voc\u00ea pode usar a seguinte fun\u00e7\u00e3o personalizada para fazer isso:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">def<\/span> r_pvalues(df):\n    cols = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> (columns= <span style=\"color: #3366ff;\">df.columns<\/span> )\n    p = cols. <span style=\"color: #3366ff;\">transpose<\/span> (). <span style=\"color: #3366ff;\">join<\/span> (cols, how=' <span style=\"color: #ff0000;\">outer<\/span> ')\n    <span style=\"color: #008000;\">for<\/span> r <span style=\"color: #008000;\">in<\/span> df. <span style=\"color: #3366ff;\">columns<\/span> :\n        <span style=\"color: #008000;\">for<\/span> c <span style=\"color: #008000;\">in<\/span> df. <span style=\"color: #3366ff;\">columns<\/span> :\n            tmp = df[df[r]. <span style=\"color: #3366ff;\">notnull<\/span> () &amp; df[c]. <span style=\"color: #3366ff;\">notnull<\/span> ()]\n            p[r][c] = round(pearsonr(tmp[r], tmp[c])[1], 4)\n    <span style=\"color: #008000;\">return<\/span> p\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como calcular valores p para coeficientes de correla\u00e7\u00e3o na pr\u00e1tica com o seguinte DataFrame do pandas:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">x<\/span> ': [4, 5, 5, 7, 8, 10, 12, 13, 14, 15],\n                   ' <span style=\"color: #ff0000;\">y<\/span> ': [10, 12, 14, 18, np.nan, 19, 13, 20, 14, np.nan],\n                   ' <span style=\"color: #ff0000;\">z<\/span> ': [20, 24, 24, 23, 19, 15, 18, 14, 10, 12]})\n\n<span style=\"color: #008080;\">#view DataFrame\n<\/span><span style=\"color: #008000;\">print<\/span> (df)\n\n    X Y Z\n0 4 10.0 20\n1 5 12.0 24\n2 5 14.0 24\n3 7 18.0 23\n4 8 NaN 19\n5 10 19.0 15\n6 12 13.0 18\n7 13 20.0 14\n8 14 14.0 10\n9 15 NaN 12\n<\/strong><\/span><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo 1: Calcule o valor P para o coeficiente de correla\u00e7\u00e3o entre duas colunas no Pandas<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular o coeficiente de correla\u00e7\u00e3o de Pearson e o valor p correspondente para as colunas <strong>x<\/strong> e <strong>y<\/strong> do DataFrame:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">from<\/span> scipy. <span style=\"color: #3366ff;\">stats<\/span> <span style=\"color: #008000;\">import<\/span> pearsonr\n\n<span style=\"color: #008080;\">#drop all rows with NaN values\n<\/span>df_new = df. <span style=\"color: #3366ff;\">dropna<\/span> ()\n\n<span style=\"color: #008080;\">#calculation correlation coefficient and p-value between x and y\n<\/span>pearsonr(df_new[' <span style=\"color: #ff0000;\">x<\/span> '], df_new[' <span style=\"color: #ff0000;\">y<\/span> '])\n\nPearsonRResult(statistic=0.4791621985883838, pvalue=0.22961622926360523)\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Pelo resultado podemos ver:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O coeficiente de correla\u00e7\u00e3o de Pearson \u00e9 <strong>0,4792<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">O valor p correspondente \u00e9 <strong>0,2296<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Como o coeficiente de correla\u00e7\u00e3o \u00e9 positivo, isso indica que existe uma rela\u00e7\u00e3o linear positiva entre as duas vari\u00e1veis.<\/span><\/p>\n<p> <span style=\"color: #000000;\">No entanto, como o valor p do coeficiente de correla\u00e7\u00e3o n\u00e3o \u00e9 inferior a 0,05, a correla\u00e7\u00e3o n\u00e3o \u00e9 estatisticamente significativa.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Observe que tamb\u00e9m podemos usar a seguinte sintaxe para extrair o valor p do coeficiente de correla\u00e7\u00e3o:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#extract p-value of correlation coefficient\n<\/span>pearsonr(df_new[' <span style=\"color: #ff0000;\">x<\/span> '], df_new[' <span style=\"color: #ff0000;\">y<\/span> '])[1]\n\n0.22961622926360523\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">O valor p do coeficiente de correla\u00e7\u00e3o \u00e9 <strong>0,2296<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Isso corresponde ao valor p da sa\u00edda anterior.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo 2: Calcule o valor P para o coeficiente de correla\u00e7\u00e3o entre todas as colunas no Pandas<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular o coeficiente de correla\u00e7\u00e3o de Pearson e o valor p correspondente para cada combina\u00e7\u00e3o de colunas em pares no DataFrame do pandas:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\"><span style=\"color: #008080;\">#create function to calculate p-values for each pairwise correlation coefficient<\/span>\ndef<\/span> r_pvalues(df):\n    cols = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> (columns= <span style=\"color: #3366ff;\">df.columns<\/span> )\n    p = cols. <span style=\"color: #3366ff;\">transpose<\/span> (). <span style=\"color: #3366ff;\">join<\/span> (cols, how=' <span style=\"color: #ff0000;\">outer<\/span> ')\n    <span style=\"color: #008000;\">for<\/span> r <span style=\"color: #008000;\">in<\/span> df. <span style=\"color: #3366ff;\">columns<\/span> :\n        <span style=\"color: #008000;\">for<\/span> c <span style=\"color: #008000;\">in<\/span> df. <span style=\"color: #3366ff;\">columns<\/span> :\n            tmp = df[df[r]. <span style=\"color: #3366ff;\">notnull<\/span> () &amp; df[c]. <span style=\"color: #3366ff;\">notnull<\/span> ()]\n            p[r][c] = round(pearsonr(tmp[r], tmp[c])[1], 4)\n    <span style=\"color: #008000;\">return<\/span> p\n\n<span style=\"color: #008080;\">#use custom function to calculate p-values\n<\/span>r_pvalues(df)\n\n             X Y Z\nx 0.0 0.2296 0.0005\ny 0.2296 0.0 0.4238\nz 0.0005 0.4238 0.0<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Pelo resultado podemos ver:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O valor p para o coeficiente de correla\u00e7\u00e3o entre x e y \u00e9 <strong>0,2296<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">O valor p para o coeficiente de correla\u00e7\u00e3o entre x e z \u00e9 <strong>0,0005<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\">O valor p para o coeficiente de correla\u00e7\u00e3o entre y e z \u00e9 <strong>0,4238<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Observe que arredondamos os valores p para quatro casas decimais em nossa fun\u00e7\u00e3o personalizada.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sinta-se \u00e0 vontade para substituir o <strong>4<\/strong> na \u00faltima linha da fun\u00e7\u00e3o por um n\u00famero diferente para arredondar para um n\u00famero diferente de casas decimais.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Nota<\/strong> : Voc\u00ea pode encontrar a documenta\u00e7\u00e3o completa para a fun\u00e7\u00e3o SciPy <strong>pearsonr()<\/strong> <a href=\"https:\/\/docs.scipy.org\/doc\/scipy\/reference\/generated\/scipy.stats.pearsonr.html\" target=\"_blank\" rel=\"noopener\">aqui<\/a> .<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como realizar outras tarefas comuns do panda:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/correlacao-de-agrupamento-de-pandas\/\" target=\"_blank\" rel=\"noopener\">Como calcular a correla\u00e7\u00e3o por grupo no Pandas<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/rolamento-de-correlacao-de-pandas\/\" target=\"_blank\" rel=\"noopener\">Como calcular a correla\u00e7\u00e3o deslizante em pandas<\/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 pandas<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>O coeficiente de correla\u00e7\u00e3o de Pearson pode ser usado para medir a associa\u00e7\u00e3o linear entre duas vari\u00e1veis. Este coeficiente de correla\u00e7\u00e3o assume sempre um valor entre -1 e 1 onde: -1 : Correla\u00e7\u00e3o linear perfeitamente negativa entre duas vari\u00e1veis. 0 : Nenhuma correla\u00e7\u00e3o linear entre duas vari\u00e1veis. 1: Correla\u00e7\u00e3o linear perfeitamente positiva entre duas vari\u00e1veis. [&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-4298","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 encontrar o valor P do coeficiente de correla\u00e7\u00e3o em pandas - Estatoriais<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como calcular o valor p de um coeficiente de correla\u00e7\u00e3o em pandas, com exemplos.\" \/>\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-de-pandas-com-valor-p\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como encontrar o valor P do coeficiente de correla\u00e7\u00e3o em pandas - Estatoriais\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como calcular o valor p de um coeficiente de correla\u00e7\u00e3o em pandas, com exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/correlacao-de-pandas-com-valor-p\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-12T04:44:09+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=\"4 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/correlacao-de-pandas-com-valor-p\/\",\"url\":\"https:\/\/statorials.org\/pt\/correlacao-de-pandas-com-valor-p\/\",\"name\":\"Como encontrar o valor P do coeficiente de correla\u00e7\u00e3o em pandas - Estatoriais\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-12T04:44:09+00:00\",\"dateModified\":\"2023-07-12T04:44:09+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como calcular o valor p de um coeficiente de correla\u00e7\u00e3o em pandas, com exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/correlacao-de-pandas-com-valor-p\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/correlacao-de-pandas-com-valor-p\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/correlacao-de-pandas-com-valor-p\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como encontrar o valor p do coeficiente de correla\u00e7\u00e3o em pandas\"}]},{\"@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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