{"id":1282,"date":"2023-07-27T00:47:36","date_gmt":"2023-07-27T00:47:36","guid":{"rendered":"https:\/\/statorials.org\/pt\/desvio-absoluto-mediano-em-python\/"},"modified":"2023-07-27T00:47:36","modified_gmt":"2023-07-27T00:47:36","slug":"desvio-absoluto-mediano-em-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/desvio-absoluto-mediano-em-python\/","title":{"rendered":"Como calcular o desvio mediano absoluto em python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">O <strong>desvio absoluto mediano<\/strong> mede a distribui\u00e7\u00e3o das <a href=\"https:\/\/statorials.org\/pt\/observacao-em-estatisticas\/\" target=\"_blank\" rel=\"noopener\">observa\u00e7\u00f5es<\/a> em um conjunto de dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Esta \u00e9 uma medida particularmente \u00fatil porque \u00e9 menos afetada por valores discrepantes do que outras medidas de dispers\u00e3o, como desvio padr\u00e3o e vari\u00e2ncia.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A f\u00f3rmula para calcular o desvio mediano absoluto, muitas vezes abreviado como MAD, \u00e9:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>MAD = mediana (|x <sub>i<\/sub> \u2013 x <sub>m<\/sub> |)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub> :<\/strong> o i- <sup>\u00e9simo<\/sup> valor do conjunto de dados<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>m<\/sub> :<\/strong> o valor mediano no conjunto de dados<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como calcular o desvio absoluto mediano em Python usando a fun\u00e7\u00e3o <a href=\"https:\/\/www.statsmodels.org\/stable\/index.html\" target=\"_blank\" rel=\"noopener\">statsmodels<\/a> <strong>mad<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 1: Calcule o MAD para uma tabela<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular o desvio absoluto mediano para um \u00fanico array NumPy em Python:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n<span style=\"color: #008000;\">from<\/span> statsmodels <span style=\"color: #008000;\">import<\/span> robust<\/span>\n\n#define data\n<\/span>data = np. <span style=\"color: #3366ff;\">array<\/span> ([1, 4, 4, 7, 12, 13, 16, 19, 22, 24])\n\n<span style=\"color: #008080;\">#calculate MAD\n<\/span>robust. <span style=\"color: #3366ff;\">mad<\/span> (data)\n\n11.1195\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">O desvio absoluto mediano para o conjunto de dados \u00e9 <strong>11,1195<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c9 importante notar que a f\u00f3rmula utilizada para calcular o MAD calcula uma estimativa robusta do desvio padr\u00e3o assumindo uma <a href=\"https:\/\/statorials.org\/pt\/a-distribuicao-normal\/\" target=\"_blank\" rel=\"noopener\">distribui\u00e7\u00e3o normal<\/a> , escalonando o resultado por um fator de aproximadamente 0,67.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para evitar o uso deste fator de escala, simplesmente defina c = 1 como segue:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate MAD without scaling factor\n<\/span>robust. <span style=\"color: #3366ff;\">mad<\/span> (data, c=1)\n\n7.5<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 2: Calcular MAD para um DataFrame<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular o MAD para uma \u00fanica coluna em um DataFrame do pandas:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>n.p. <span style=\"color: #3366ff;\">random<\/span> . <span style=\"color: #3366ff;\">seeds<\/span> (1)\n\n<span style=\"color: #008080;\">#create pandas DataFrame\n<\/span>data = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ( <span style=\"color: #3366ff;\">np.random.randint<\/span> (0,10,size=(5,3)),columns <span style=\"color: #3366ff;\">=<\/span> [' <span style=\"color: #008000;\">A<\/span> ',' <span style=\"color: #008000;\">B<\/span> ',' <span style=\"color: #008000;\">C<\/span> '])\n\n<span style=\"color: #008080;\">#view DataFrame\n<\/span>data\n\n        A B C\n0 5 8 9\n1 5 0 0\n2 1 7 6\n3 9 2 4\n4 5 2 4\n\n<span style=\"color: #008080;\">#calculate MAD for column <em>B<\/em>\n<span style=\"color: #000000;\">data[[' <span style=\"color: #008000;\">B<\/span> ']]. <span style=\"color: #3366ff;\">apply<\/span> (robust. <span style=\"color: #3366ff;\">mad<\/span> )\n\nB 2.965204\ndtype:float64<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">O desvio mediano absoluto para a coluna <em>B<\/em> \u00e9 <strong>2,965204<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos usar sintaxe semelhante para calcular MAD para m\u00faltiplas colunas no DataFrame do pandas:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#calculate MAD for all columns<\/span>\ndata[[' <span style=\"color: #008000;\">A<\/span> ',' <span style=\"color: #008000;\">B<\/span> ',' <span style=\"color: #008000;\">C<\/span> ']]. <span style=\"color: #3366ff;\">apply<\/span> (robust. <span style=\"color: #3366ff;\">mad<\/span> )\n\nAt 0.000000\nB 2.965204\nC 2.965204\ndtype:float64\n<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">O desvio mediano absoluto \u00e9 <b>0<\/b> para a coluna A, <strong>2,965204<\/strong> para a coluna B e <b>2,965204<\/b> para a coluna C.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/cartao-python\/\" target=\"_blank\" rel=\"noopener\">Como calcular MAPE em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/smape-python\/\" target=\"_blank\" rel=\"noopener\">Como calcular SMAPE em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/rmse-python\/\" target=\"_blank\" rel=\"noopener\">Como calcular RMSE em Python<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>O desvio absoluto mediano mede a distribui\u00e7\u00e3o das observa\u00e7\u00f5es em um conjunto de dados. Esta \u00e9 uma medida particularmente \u00fatil porque \u00e9 menos afetada por valores discrepantes do que outras medidas de dispers\u00e3o, como desvio padr\u00e3o e vari\u00e2ncia. A f\u00f3rmula para calcular o desvio mediano absoluto, muitas vezes abreviado como MAD, \u00e9: MAD = mediana [&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-1282","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 o desvio mediano absoluto em Python<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como calcular o desvio absoluto mediano em Python, com v\u00e1rios 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\/desvio-absoluto-mediano-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 o desvio mediano absoluto em Python\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como calcular o desvio absoluto mediano em Python, com v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/desvio-absoluto-mediano-em-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T00:47:36+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\/desvio-absoluto-mediano-em-python\/\",\"url\":\"https:\/\/statorials.org\/pt\/desvio-absoluto-mediano-em-python\/\",\"name\":\"Como calcular o desvio mediano absoluto em Python\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-27T00:47:36+00:00\",\"dateModified\":\"2023-07-27T00:47:36+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como calcular o desvio absoluto mediano em Python, com v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/desvio-absoluto-mediano-em-python\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/desvio-absoluto-mediano-em-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/desvio-absoluto-mediano-em-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como calcular o desvio mediano absoluto 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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