{"id":836,"date":"2023-07-28T14:27:08","date_gmt":"2023-07-28T14:27:08","guid":{"rendered":"https:\/\/statorials.org\/pt\/binning-de-frequencia-igual-python\/"},"modified":"2023-07-28T14:27:08","modified_gmt":"2023-07-28T14:27:08","slug":"binning-de-frequencia-igual-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/binning-de-frequencia-igual-python\/","title":{"rendered":"Binning de frequ\u00eancia igual em python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Em estat\u00edstica, <strong>agrupamento<\/strong> \u00e9 o processo de colocar valores num\u00e9ricos em <em>grupos<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">A forma mais comum de clustering \u00e9 conhecida como <strong>clustering de largura igual<\/strong> , em que dividimos um conjunto de dados em <em>k<\/em> grupos de largura igual.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uma forma de agrupamento menos comumente usada \u00e9 conhecida como <strong>agrupamento de frequ\u00eancia igual<\/strong> , na qual dividimos um conjunto de dados em <em>k<\/em> grupos, todos com igual n\u00famero de frequ\u00eancias.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Este tutorial explica como realizar clustering de frequ\u00eancia igual em python.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Binning de frequ\u00eancia igual em Python<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que temos um conjunto de dados contendo 100 valores:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> matplotlib.pyplot <span style=\"color: #107d3f;\">as<\/span> plt\n\n<span style=\"color: #008080;\">#create data<\/span>\nnp.random.seed(1)\ndata = np.random.randn(100)\n\n<span style=\"color: #008080;\">#view first 5 values\n<\/span><\/strong><b>data[:5]\n\narray([ 1.62434536, -0.61175641, -0.52817175, -1.07296862, 0.86540763])\n<\/b><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Agrupamento de largura igual:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Se criarmos um histograma para exibir esses valores, o Python usar\u00e1 como padr\u00e3o o agrupamento de largura igual:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create histogram with equal-width bins<\/span>\nn, bins, patches = plt.hist(data, edgecolor='black')\nplt.show()\n\n<span style=\"color: #008080;\">#display bin boundaries and frequency per bin<\/span> \nbins, n\n\n(array([-2.3015387 , -1.85282729, -1.40411588, -0.95540447, -0.50669306,\n        -0.05798165, 0.39072977, 0.83944118, 1.28815259, 1.736864,\n         2.18557541]),\n array([ 3., 1., 6., 17., 19., 20., 14., 12., 5., 3.]))\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9246 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/egalfreqbinningpython1.png\" alt=\"\" width=\"406\" height=\"262\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Cada grupo tem uma largura igual de aproximadamente 0,4487, mas cada grupo n\u00e3o cont\u00e9m uma quantidade igual de observa\u00e7\u00f5es. Por exemplo:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O primeiro compartimento se estende de -2,3015387 a -1,8528279 e cont\u00e9m 3 observa\u00e7\u00f5es.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O segundo compartimento se estende de -1,8528279 a -1,40411588 e cont\u00e9m 1 observa\u00e7\u00e3o.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O terceiro compartimento se estende de -1,40411588 a -0,95540447 e cont\u00e9m 6 observa\u00e7\u00f5es.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">E assim por diante.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Agrupamento de frequ\u00eancia igual:<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Para criar intervalos contendo um n\u00famero igual de observa\u00e7\u00f5es, podemos usar a seguinte fun\u00e7\u00e3o:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\"><span style=\"color: #008080;\">#define function to calculate equal-frequency bins<\/span> \ndef<\/span> equalObs(x, nbin):\n    nlen = len(x)\n    <span style=\"color: #107d3f;\">return<\/span> np.interp(np.linspace(0, nlen, nbin + 1),\n                     np.arange(nlen),\n                     np.sort(x))\n\n<span style=\"color: #008080;\">#create histogram with equal-frequency bins<\/span> \nn, bins, patches = plt.hist(data, equalObs(data, 10), edgecolor='black')\nplt.show()\n\n<span style=\"color: #008080;\">#display bin boundaries and frequency per bin<\/span> \nbins, n\n\n(array([-2.3015387 , -0.93576943, -0.67124613, -0.37528495, -0.20889423,\n         0.07734007, 0.2344157, 0.51292982, 0.86540763, 1.19891788,\n         2.18557541]),\n array([10., 10., 10., 10., 10., 10., 10., 10., 10., 10.]))<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9247\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/egalfreqbinningpython2.png\" alt=\"Exemplo de agrupamento de frequ\u00eancia igual em Python\" width=\"395\" height=\"267\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Cada grupo n\u00e3o tem largura igual, mas cada grupo <i>cont\u00e9m<\/i> uma quantidade igual de observa\u00e7\u00f5es. Por exemplo:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O primeiro compartimento se estende de -2,3015387 a -0,93576943 e cont\u00e9m 10 observa\u00e7\u00f5es.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O segundo compartimento se estende de -0,93576943 a -0,67124613 e cont\u00e9m 10 observa\u00e7\u00f5es.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O terceiro compartimento se estende de -0,67124613 a -0,37528495 e cont\u00e9m 10 observa\u00e7\u00f5es.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">E assim por diante.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Podemos ver no histograma que cada caixa claramente n\u00e3o tem a mesma largura, mas cada caixa cont\u00e9m o mesmo n\u00famero de observa\u00e7\u00f5es, o que \u00e9 confirmado pelo fato de que a altura de cada caixa \u00e9 igual.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Em estat\u00edstica, agrupamento \u00e9 o processo de colocar valores num\u00e9ricos em grupos . A forma mais comum de clustering \u00e9 conhecida como clustering de largura igual , em que dividimos um conjunto de dados em k grupos de largura igual. Uma forma de agrupamento menos comumente usada \u00e9 conhecida como agrupamento de frequ\u00eancia igual , [&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-836","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>Binning de frequ\u00eancia igual em Python - Statorials<\/title>\n<meta name=\"description\" content=\"Uma explica\u00e7\u00e3o simples sobre como realizar clustering de frequ\u00eancia igual em Python.\" \/>\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\/binning-de-frequencia-igual-python\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Binning de frequ\u00eancia igual em Python - Statorials\" \/>\n<meta property=\"og:description\" content=\"Uma explica\u00e7\u00e3o simples sobre como realizar clustering de frequ\u00eancia igual em Python.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/binning-de-frequencia-igual-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T14:27:08+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/egalfreqbinningpython1.png\" \/>\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\/binning-de-frequencia-igual-python\/\",\"url\":\"https:\/\/statorials.org\/pt\/binning-de-frequencia-igual-python\/\",\"name\":\"Binning de frequ\u00eancia igual em Python - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-28T14:27:08+00:00\",\"dateModified\":\"2023-07-28T14:27:08+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Uma explica\u00e7\u00e3o simples sobre como realizar clustering de frequ\u00eancia igual em Python.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/binning-de-frequencia-igual-python\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/binning-de-frequencia-igual-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/binning-de-frequencia-igual-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Binning de frequ\u00eancia igual 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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