{"id":3441,"date":"2023-07-17T11:29:47","date_gmt":"2023-07-17T11:29:47","guid":{"rendered":"https:\/\/statorials.org\/pt\/valor-p-de-regressao-linear-de-modelos-estatisticos\/"},"modified":"2023-07-17T11:29:47","modified_gmt":"2023-07-17T11:29:47","slug":"valor-p-de-regressao-linear-de-modelos-estatisticos","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/valor-p-de-regressao-linear-de-modelos-estatisticos\/","title":{"rendered":"Como extrair valores p da regress\u00e3o linear em modelos estat\u00edsticos"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Voc\u00ea pode usar os seguintes m\u00e9todos para extrair valores p para coeficientes em um ajuste de modelo de regress\u00e3o linear usando o m\u00f3dulo <a href=\"https:\/\/www.statsmodels.org\/stable\/index.html\" target=\"_blank\" rel=\"noopener\">statsmodels<\/a> em Python:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#extract p-values for all predictor variables\n<\/span><span style=\"color: #008000;\">for<\/span> x <span style=\"color: #008000;\">in<\/span> range(0, 3):\n    <span style=\"color: #008000;\">print<\/span> ( <span style=\"color: #3366ff;\">model.pvalues<\/span> [x])\n\n<span style=\"color: #008080;\">#extract p-value for specific predictor variable name\n<\/span>model. <span style=\"color: #3366ff;\">pvalues<\/span> . <span style=\"color: #3366ff;\">loc<\/span> [' <span style=\"color: #ff0000;\">predictor1<\/span> ']\n\n<span style=\"color: #008080;\">#extract p-value for specific predictor variable position<\/span>\nmodel. <span style=\"color: #3366ff;\">pvalues<\/span> [0]\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como usar cada m\u00e9todo na pr\u00e1tica.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Exemplo: Extrair valores P da regress\u00e3o linear em modelos estat\u00edsticos<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Suponha que temos o seguinte DataFrame do pandas que cont\u00e9m informa\u00e7\u00f5es sobre horas estudadas, exames preparat\u00f3rios realizados e nota final recebida pelos alunos de uma determinada turma:<\/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\n<span style=\"color: #008080;\">#createDataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({' <span style=\"color: #ff0000;\">hours<\/span> ': [1, 2, 2, 4, 2, 1, 5, 4, 2, 4, 4, 3, 6],\n                   ' <span style=\"color: #ff0000;\">exams<\/span> ': [1, 3, 3, 5, 2, 2, 1, 1, 0, 3, 4, 3, 2],\n                   ' <span style=\"color: #ff0000;\">score<\/span> ': [76, 78, 85, 88, 72, 69, 94, 94, 88, 92, 90, 75, 96]})\n\n<span style=\"color: #008080;\">#view head of DataFrame\n<\/span>df. <span style=\"color: #3366ff;\">head<\/span> ()\n\n\thours exam score\n0 1 1 76\n1 2 3 78\n2 2 3 85\n3 4 5 88\n4 2 2 72<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Podemos usar a fun\u00e7\u00e3o <strong>OLS()<\/strong> do m\u00f3dulo statsmodels para ajustar um <a href=\"https:\/\/statorials.org\/pt\/regressao-linear-multipla\/\" target=\"_blank\" rel=\"noopener\">modelo de regress\u00e3o linear m\u00faltipla<\/a> , usando &#8220;horas&#8221; e &#8220;exames&#8221; como vari\u00e1veis preditoras e &#8220;pontua\u00e7\u00e3o&#8221; como <a href=\"https:\/\/statorials.org\/pt\/respostas-explicativas-das-variaveis\/\" target=\"_blank\" rel=\"noopener\">vari\u00e1vel de resposta<\/a> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #107d3f;\">as<\/span> sm\n\n<span style=\"color: #008080;\">#define predictor and response variables\n<\/span>y = df['score']\nx = df[['hours', 'exams']]\n\n<span style=\"color: #008080;\">#add constant to predictor variables\n<\/span>x = sm. <span style=\"color: #3366ff;\">add_constant<\/span> (x)\n\n<span style=\"color: #008080;\">#fit linear regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()\n\n<span style=\"color: #008080;\">#view model summary\n<\/span><span style=\"color: #008000;\">print<\/span> ( <span style=\"color: #3366ff;\">model.summary<\/span> ())\n\n                            OLS Regression Results                            \n==================================================== ============================\nDept. Variable: R-squared score: 0.718\nModel: OLS Adj. R-squared: 0.661\nMethod: Least Squares F-statistic: 12.70\nDate: Fri, 05 Aug 2022 Prob (F-statistic): 0.00180\nTime: 09:24:38 Log-Likelihood: -38.618\nNo. Observations: 13 AIC: 83.24\nDf Residuals: 10 BIC: 84.93\nDf Model: 2                                         \nCovariance Type: non-robust                                         \n==================================================== ============================\n                 coef std err t P&gt;|t| [0.025 0.975]\n-------------------------------------------------- ----------------------------\nconst 71.4048 4.001 17.847 0.000 62.490 80.319\nhours 5.1275 1.018 5.038 0.001 2.860 7.395\nexams -1.2121 1.147 -1.057 0.315 -3.768 1.344\n==================================================== ============================\nOmnibus: 1,103 Durbin-Watson: 1,248\nProb(Omnibus): 0.576 Jarque-Bera (JB): 0.803\nSkew: -0.289 Prob(JB): 0.669\nKurtosis: 1.928 Cond. No. 11.7\n==================================================== ============================\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Por padr\u00e3o, a fun\u00e7\u00e3o <strong>summary()<\/strong> exibe os valores p de cada vari\u00e1vel preditora com at\u00e9 tr\u00eas casas decimais:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Valor P para intercepta\u00e7\u00e3o: <strong>0,000<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Valor P para horas: <strong>0,001<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Valor P para exames: <strong>0,315<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">No entanto, podemos extrair os valores p completos para cada vari\u00e1vel preditora do modelo usando a seguinte sintaxe:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#extract p-values for all predictor variables\n<\/span><span style=\"color: #008000;\">for<\/span> x <span style=\"color: #008000;\">in<\/span> range(0, 3):\n    <span style=\"color: #008000;\">print<\/span> ( <span style=\"color: #3366ff;\">model.pvalues<\/span> [x])\n\n6.514115622692573e-09\n0.0005077783375870773\n0.3154807854805659\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Isso nos permite ver valores p com mais casas decimais:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Valor P para intercepta\u00e7\u00e3o: <strong>0,00000000651411562269257<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Valor P para horas: <strong>0,0005077783375870773<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Valor P para exames: <strong>0,3154807854805659<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Nota<\/strong> : Usamos <strong>3<\/strong> em nossa fun\u00e7\u00e3o <strong>range()<\/strong> porque havia tr\u00eas coeficientes totais em nosso modelo de regress\u00e3o.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tamb\u00e9m podemos usar a seguinte sintaxe para extrair especificamente o valor p da vari\u00e1vel \u201choras\u201d:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#extract p-value for 'hours' only\n<\/span>model. <span style=\"color: #3366ff;\">pvalues<\/span> . <span style=\"color: #3366ff;\">loc<\/span> [' <span style=\"color: #ff0000;\">hours<\/span> ']\n\n0.0005077783375870773\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ou poder\u00edamos usar a seguinte sintaxe para extrair o valor p do coeficiente de uma vari\u00e1vel em uma posi\u00e7\u00e3o espec\u00edfica do modelo de regress\u00e3o:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#extract p-value for coefficient in index position 0\n<\/span>model. <span style=\"color: #3366ff;\">pvalues<\/span> [0]\n\n6.514115622692573e-09<\/strong><\/pre>\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 em Python:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/regressao-logistica-python\/\" target=\"_blank\" rel=\"noopener\">Como realizar regress\u00e3o log\u00edstica em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/aico-em-python\/\" target=\"_blank\" rel=\"noopener\">Como calcular AIC de modelos de regress\u00e3o em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/r-quadrado-em-python-ajusta\/\" target=\"_blank\" rel=\"noopener\">Como calcular R-quadrado ajustado em Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Voc\u00ea pode usar os seguintes m\u00e9todos para extrair valores p para coeficientes em um ajuste de modelo de regress\u00e3o linear usando o m\u00f3dulo statsmodels em Python: #extract p-values for all predictor variables for x in range(0, 3): print ( model.pvalues [x]) #extract p-value for specific predictor variable name model. pvalues . loc [&#8216; predictor1 &#8216;] [&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-3441","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 extrair valores de P da regress\u00e3o linear em modelos estat\u00edsticos \u2013 Estatoriais<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como extrair valores p da sa\u00edda de um modelo de regress\u00e3o linear em modelos estat\u00edsticos em Python, com 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\/valor-p-de-regressao-linear-de-modelos-estatisticos\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como extrair valores de P da regress\u00e3o linear em modelos estat\u00edsticos \u2013 Estatoriais\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como extrair valores p da sa\u00edda de um modelo de regress\u00e3o linear em modelos estat\u00edsticos em Python, com um exemplo.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/valor-p-de-regressao-linear-de-modelos-estatisticos\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-17T11:29:47+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=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/valor-p-de-regressao-linear-de-modelos-estatisticos\/\",\"url\":\"https:\/\/statorials.org\/pt\/valor-p-de-regressao-linear-de-modelos-estatisticos\/\",\"name\":\"Como extrair valores de P da regress\u00e3o linear em modelos estat\u00edsticos \u2013 Estatoriais\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-17T11:29:47+00:00\",\"dateModified\":\"2023-07-17T11:29:47+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como extrair valores p da sa\u00edda de um modelo de regress\u00e3o linear em modelos estat\u00edsticos em Python, com um exemplo.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/valor-p-de-regressao-linear-de-modelos-estatisticos\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/valor-p-de-regressao-linear-de-modelos-estatisticos\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/valor-p-de-regressao-linear-de-modelos-estatisticos\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como extrair valores p da regress\u00e3o linear em modelos estat\u00edsticos\"}]},{\"@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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