{"id":1320,"date":"2023-07-26T21:28:50","date_gmt":"2023-07-26T21:28:50","guid":{"rendered":"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-de-r\/"},"modified":"2023-07-26T21:28:50","modified_gmt":"2023-07-26T21:28:50","slug":"coeficiente-de-variacao-de-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/coeficiente-de-variacao-de-r\/","title":{"rendered":"Como calcular o coeficiente de varia\u00e7\u00e3o de r"},"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 de R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Para calcular o coeficiente de varia\u00e7\u00e3o de um conjunto de dados em R, voc\u00ea pode usar a seguinte sintaxe:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>cv &lt;- sd(data) \/ mean(data) * <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 um \u00fanico vetor<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular o CV para um \u00fanico vetor:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create vector of data\n<\/span>data &lt;- c(88, 85, 82, 97, 67, 77, 74, 86, 81, 95, 77, 88, 85, 76, 81, 82)\n\n<span style=\"color: #008080;\">#calculate CV\n<\/span>cv &lt;- sd(data) \/ mean(data) * <span style=\"color: #008000;\">100<\/span>\n\n<span style=\"color: #008080;\">#display CV\n<\/span>resume\n\n[1] 9.234518\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 v\u00e1rios vetores em um quadro de dados usando a fun\u00e7\u00e3o <a href=\"https:\/\/statorials.org\/pt\/um-guia-para-aplicar-lapply-sapply-e-tapply-em-r\/\" target=\"_blank\" rel=\"noopener\">sapply()<\/a> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>data &lt;- data.frame(a=c(88, 85, 82, 97, 67, 77, 74, 86, 81, 95),\n                   b=c(77, 88, 85, 76, 81, 82, 88, 91, 92, 99),\n                   c=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;\">sapply(data, <span style=\"color: #008000;\">function<\/span> (x) sd(x) \/ mean(x) * <span style=\"color: #008000;\">100<\/span> )\n\n        ABC\n11.012892 8.330843 7.154009<\/span><\/span><\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Certifique-se de usar <strong>na.rm=T<\/strong> se seus dados tamb\u00e9m estiverem faltando valores. Isso diz a R para simplesmente ignorar os valores ausentes ao calcular o coeficiente de varia\u00e7\u00e3o:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>data &lt;- data.frame(a=c(88, 85, 82, 97, 67, 77, 74, 86, 81, 95),\n                   b=c(77, 88, 85, 76, 81, 82, 88, 91, <span style=\"color: #993300;\">NA<\/span> , 99),\n                   c=c(67, 68, 68, 74, 74, 76, 76, 77, 78, <span style=\"color: #993300;\">NA<\/span> ))\n\n<span style=\"color: #008080;\">#calculate CV for each column in data frame\n<span style=\"color: #000000;\">sapply(data, <span style=\"color: #008000;\">function<\/span> (x) sd(x, na.rm= <span style=\"color: #008000;\">T<\/span> ) \/ mean(x, na.rm= <span style=\"color: #008000;\">T<\/span> ) * <span style=\"color: #008000;\">100<\/span> )\n\n        ABC\n11.012892 8.497612 5.860924\n<\/span><\/span><\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/pt\/desvio-mediano-absoluto-em-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular o desvio mediano absoluto em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/desvio-padrao-em-r\/\" target=\"_blank\" rel=\"noopener\">Como calcular o desvio padr\u00e3o em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/praia-em-r\/\" target=\"_blank\" rel=\"noopener\">Como encontrar o intervalo em R<\/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-1320","post","type-post","status-publish","format-standard","hentry","category-guia"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - 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