{"id":1321,"date":"2023-07-26T21:20:58","date_gmt":"2023-07-26T21:20:58","guid":{"rendered":"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/"},"modified":"2023-07-26T21:20:58","modified_gmt":"2023-07-26T21:20:58","slug":"coeficiente-de-variacao-em-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/","title":{"rendered":"Como calcular o coeficiente de varia\u00e7\u00e3o em python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Um <strong>coeficiente de varia\u00e7\u00e3o<\/strong> , muitas vezes abreviado para <em>CV<\/em> , \u00e9 uma forma de medir a dispers\u00e3o dos valores em um conjunto de dados em rela\u00e7\u00e3o \u00e0 m\u00e9dia. \u00c9 calculado da seguinte forma:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">CV=\u03c3\/\u03bc<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03c3:<\/strong> o desvio padr\u00e3o do conjunto de dados<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc:<\/strong> a m\u00e9dia do conjunto de dados<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Simplificando, o coeficiente de varia\u00e7\u00e3o \u00e9 simplesmente a raz\u00e3o entre o desvio padr\u00e3o e a m\u00e9dia.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Quando usar o coeficiente de varia\u00e7\u00e3o<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">O coeficiente de varia\u00e7\u00e3o \u00e9 frequentemente usado para comparar a varia\u00e7\u00e3o entre dois conjuntos diferentes de dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\">No mundo real, \u00e9 frequentemente utilizado em finan\u00e7as para comparar o retorno m\u00e9dio esperado de um investimento com o desvio padr\u00e3o esperado do investimento. Isso permite que os investidores comparem a compensa\u00e7\u00e3o risco-retorno entre os investimentos.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, suponha que um investidor esteja pensando em investir nos dois fundos m\u00fatuos a seguir:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Fundo M\u00fatuo A: m\u00e9dia = 9%, desvio padr\u00e3o = 12,4%<\/span><\/p>\n<p> <span style=\"color: #000000;\">OICVM B: m\u00e9dia = 5%, desvio padr\u00e3o = 8,2%<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ao calcular o coeficiente de varia\u00e7\u00e3o de cada fundo, o investidor observa:<\/span><\/p>\n<p> <span style=\"color: #000000;\">CV para fundo m\u00fatuo A = 12,4% \/9% = <strong>1,38<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">CV para fundo m\u00fatuo B = 8,2% \/ 5% = <strong>1,64<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Como o Fundo M\u00fatuo A tem um coeficiente de varia\u00e7\u00e3o mais baixo, proporciona um melhor retorno m\u00e9dio em rela\u00e7\u00e3o ao desvio padr\u00e3o.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Como calcular o coeficiente de varia\u00e7\u00e3o em Python<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Para calcular o coeficiente de varia\u00e7\u00e3o de um conjunto de dados em Python, voc\u00ea pode usar a seguinte sintaxe:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np\n\ncv = <span style=\"color: #008000;\">lambda<\/span> x: np. <span style=\"color: #3366ff;\">std<\/span> (x, ddof= <span style=\"color: #008000;\">1<\/span> ) \/ np. <span style=\"color: #3366ff;\">mean<\/span> (x) * <span style=\"color: #008000;\">100\n<\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como usar essa sintaxe na pr\u00e1tica.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Exemplo 1: Coeficiente de varia\u00e7\u00e3o para uma \u00fanica rede<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular o CV para uma \u00fanica tabela:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create vector of data\n<\/span>data = [88, 85, 82, 97, 67, 77, 74, 86, 81, 95, 77, 88, 85, 76, 81, 82]\n\n<span style=\"color: #008080;\">#define function to calculate cv<\/span>\ncv = <span style=\"color: #008000;\">lambda<\/span> x: np. <span style=\"color: #3366ff;\">std<\/span> (x, ddof= <span style=\"color: #008000;\">1<\/span> ) \/ np. <span style=\"color: #3366ff;\">mean<\/span> (x) * <span style=\"color: #008000;\">100 \n<\/span>\n<span style=\"color: #008080;\">#calculate CV\n<\/span>cv(data)\n\n9.234518\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">O coeficiente de varia\u00e7\u00e3o acaba sendo <strong>9,23<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Exemplo 2: Coeficiente de varia\u00e7\u00e3o para v\u00e1rios vetores<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular o CV de m\u00faltiplas colunas em um 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: #008000;\">import<\/span> numpy <span style=\"color: #008000;\">as<\/span> np<\/span>\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#define function to calculate cv<\/span>\ncv = <span style=\"color: #008000;\">lambda<\/span> x: np. <span style=\"color: #3366ff;\">std<\/span> (x, ddof= <span style=\"color: #008000;\">1<\/span> ) \/ np. <span style=\"color: #3366ff;\">mean<\/span> (x) * <span style=\"color: #008000;\">100<\/span><\/span>\n\n#create pandas DataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({'a': [88, 85, 82, 97, 67, 77, 74, 86, 81, 95],\n                   'b': [77, 88, 85, 76, 81, 82, 88, 91, 92, 99],\n                   'c': [67, 68, 68, 74, 74, 76, 76, 77, 78, 84]})\n\n<span style=\"color: #008080;\">#calculate CV for each column in data frame\n<span style=\"color: #000000;\">df. <span style=\"color: #3366ff;\">apply<\/span> (cv)\n\na 11.012892\nb8.330843\nc7.154009\ndtype:float64<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Observe que os valores ausentes ser\u00e3o simplesmente ignorados ao calcular o coeficiente de varia\u00e7\u00e3o:<\/span><\/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<\/span>\n<span style=\"color: #000000;\"><span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n#define function to calculate cv\ncv = <span style=\"color: #008000;\">lambda<\/span> x: np. <span style=\"color: #3366ff;\">std<\/span> (x, ddof= <span style=\"color: #008000;\">1<\/span> ) \/ np. <span style=\"color: #3366ff;\">mean<\/span> (x) * <span style=\"color: #008000;\">100<\/span><\/span>\n\n#create pandas DataFrame\n<\/span>df = pd. <span style=\"color: #3366ff;\">DataFrame<\/span> ({'a': [88, 85, 82, 97, 67, 77, 74, 86, 81, 95],\n                   'b': [77, 88, 85, 76, 81, 82, 88, 91, np. <span style=\"color: #3366ff;\">no<\/span> , 99],\n                   'c': [67, 68, 68, 74, 74, 76, 76, 77, 78, np. <span style=\"color: #3366ff;\">no<\/span> ]})\n\n<span style=\"color: #008080;\">#calculate CV for each column in data frame\n<span style=\"color: #000000;\">df. <span style=\"color: #3366ff;\">apply<\/span> (cv)\n\na 11.012892\nb 8.497612\nc5.860924\ndtype:float64<\/span><\/span><\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-de-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular o coeficiente de varia\u00e7\u00e3o de R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-excel\/\" target=\"_blank\" rel=\"noopener\">Como calcular o coeficiente de varia\u00e7\u00e3o no Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-planilhas-do-google\/\" target=\"_blank\" rel=\"noopener\">Como calcular o coeficiente de varia\u00e7\u00e3o no Planilhas Google<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Um coeficiente de varia\u00e7\u00e3o , muitas vezes abreviado para CV , \u00e9 uma forma de medir a dispers\u00e3o dos valores em um conjunto de dados em rela\u00e7\u00e3o \u00e0 m\u00e9dia. \u00c9 calculado da seguinte forma: CV=\u03c3\/\u03bc Ouro: \u03c3: o desvio padr\u00e3o do conjunto de dados \u03bc: a m\u00e9dia do conjunto de dados Simplificando, o coeficiente de [&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-1321","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 coeficiente de varia\u00e7\u00e3o em Python - Estatologia<\/title>\n<meta name=\"description\" content=\"Este tutorial explica como calcular o coeficiente de varia\u00e7\u00e3o 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\/coeficiente-de-variacao-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 coeficiente de varia\u00e7\u00e3o em Python - Estatologia\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica como calcular o coeficiente de varia\u00e7\u00e3o em Python, com v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-26T21:20:58+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\/coeficiente-de-variacao-em-python\/\",\"url\":\"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/\",\"name\":\"Como calcular o coeficiente de varia\u00e7\u00e3o em Python - Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-26T21:20:58+00:00\",\"dateModified\":\"2023-07-26T21:20:58+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica como calcular o coeficiente de varia\u00e7\u00e3o em Python, com v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como calcular o coeficiente de varia\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. Com vasta experi\u00eancia e conhecimento na \u00e1rea de estat\u00edstica, estou empenhado em compartilhar meu conhecimento para capacitar os alunos por meio de Statorials. Saber mais\",\"sameAs\":[\"https:\/\/statorials.org\/pt\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Como calcular o coeficiente de varia\u00e7\u00e3o em Python - Estatologia","description":"Este tutorial explica como calcular o coeficiente de varia\u00e7\u00e3o em Python, com v\u00e1rios exemplos.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/","og_locale":"pt_PT","og_type":"article","og_title":"Como calcular o coeficiente de varia\u00e7\u00e3o em Python - Estatologia","og_description":"Este tutorial explica como calcular o coeficiente de varia\u00e7\u00e3o em Python, com v\u00e1rios exemplos.","og_url":"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/","og_site_name":"Statorials","article_published_time":"2023-07-26T21:20:58+00:00","author":"Dr. benjamim anderson","twitter_card":"summary_large_image","twitter_misc":{"Escrito por":"Dr. benjamim anderson","Tempo estimado de leitura":"3 minutos"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/","url":"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/","name":"Como calcular o coeficiente de varia\u00e7\u00e3o em Python - Estatologia","isPartOf":{"@id":"https:\/\/statorials.org\/pt\/#website"},"datePublished":"2023-07-26T21:20:58+00:00","dateModified":"2023-07-26T21:20:58+00:00","author":{"@id":"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666"},"description":"Este tutorial explica como calcular o coeficiente de varia\u00e7\u00e3o em Python, com v\u00e1rios exemplos.","breadcrumb":{"@id":"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/#breadcrumb"},"inLanguage":"pt-PT","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-em-python\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Lar","item":"https:\/\/statorials.org\/pt\/"},{"@type":"ListItem","position":2,"name":"Como calcular o coeficiente de varia\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. Com vasta experi\u00eancia e conhecimento na \u00e1rea de estat\u00edstica, estou empenhado em compartilhar meu conhecimento para capacitar os alunos por meio de Statorials. Saber mais","sameAs":["https:\/\/statorials.org\/pt"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/1321","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/comments?post=1321"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/posts\/1321\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/media?parent=1321"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/categories?post=1321"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/pt\/wp-json\/wp\/v2\/tags?post=1321"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}