{"id":824,"date":"2023-07-28T15:22:57","date_gmt":"2023-07-28T15:22:57","guid":{"rendered":"https:\/\/statorials.org\/pt\/pontuacao-z-python\/"},"modified":"2023-07-28T15:22:57","modified_gmt":"2023-07-28T15:22:57","slug":"pontuacao-z-python","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/pontuacao-z-python\/","title":{"rendered":"Como calcular pontua\u00e7\u00f5es z em python"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Nas estat\u00edsticas, uma <strong>pontua\u00e7\u00e3o z<\/strong> nos diz quantos desvios padr\u00e3o um valor est\u00e1 <a href=\"https:\/\/statorials.org\/pt\/mede-a-tendencia-central\/\" target=\"_blank\" rel=\"noopener\">da m\u00e9dia<\/a> . Usamos a seguinte f\u00f3rmula para calcular uma pontua\u00e7\u00e3o z:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>z<\/strong> = (X \u2013 \u03bc) \/ \u03c3<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">X \u00e9 um \u00fanico valor de dados brutos<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03bc \u00e9 a m\u00e9dia da popula\u00e7\u00e3o<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u03c3 \u00e9 o desvio padr\u00e3o da popula\u00e7\u00e3o<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Este tutorial explica como calcular pontua\u00e7\u00f5es z para valores de dados brutos em Python.<\/span><\/p>\n<h3> <strong>Como calcular pontua\u00e7\u00f5es Z em Python<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Podemos calcular pontua\u00e7\u00f5es z em Python usando <strong>scipy.stats.zscore<\/strong> , que usa a seguinte sintaxe:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>scipy.stats.zscore(a, eixo=0, ddof=0, nan_policy=&#8217;propagar&#8217;)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>a<\/strong> : um objeto do tipo array contendo dados<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>eixo<\/strong> : o eixo ao longo do qual calcular as pontua\u00e7\u00f5es z. O valor padr\u00e3o \u00e9 0.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>ddof<\/strong> : corre\u00e7\u00e3o dos graus de liberdade no c\u00e1lculo do desvio padr\u00e3o. O valor padr\u00e3o \u00e9 0.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>nan_policy<\/strong> : como lidar quando a entrada cont\u00e9m nan. O padr\u00e3o \u00e9 propagar, que retorna nan. &#8216;raise&#8217; gera um erro e &#8216;omit&#8217; executa c\u00e1lculos ignorando nan valores.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir ilustram como usar esta fun\u00e7\u00e3o para calcular pontua\u00e7\u00f5es z para matrizes numpy unidimensionais, matrizes numpy multidimensionais e Pandas DataFrames.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Matrizes unidimensionais numpy<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Etapa 1: importe os m\u00f3dulos.<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #107d3f;\">import <span style=\"color: #000000;\">pandas<\/span> as <span style=\"color: #000000;\">pd<\/span>\nimport<\/span> numpy <span style=\"color: #107d3f;\">as<\/span> np\n<span style=\"color: #107d3f;\">import<\/span> scipy.stats <span style=\"color: #107d3f;\">as<\/span> stats\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Etapa 2: Crie uma tabela de valores.<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data = np.array([6, 7, 7, 12, 13, 13, 15, 16, 19, 22])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Etapa 3: calcule as pontua\u00e7\u00f5es z para cada valor da tabela.<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>stats.zscore(data)\n\n<span style=\"color: #000000;\">[-1.394, -1.195, -1.195, -0.199, 0, 0, 0.398, 0.598, 1.195, 1.793]<\/span>\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Cada pontua\u00e7\u00e3o z nos diz quantos desvios padr\u00e3o um valor individual est\u00e1 da m\u00e9dia. Por exemplo:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O primeiro valor de \u201c6\u201d na tabela est\u00e1 <strong>1,394<\/strong> desvios padr\u00e3o <em>abaixo<\/em> da m\u00e9dia.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O quinto valor de \u201c13\u201d na tabela \u00e9 <strong>0<\/strong> desvio padr\u00e3o da m\u00e9dia, ou seja, \u00e9 igual \u00e0 m\u00e9dia.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O \u00faltimo valor de \u201c22\u201d na tabela est\u00e1 <strong>1,793<\/strong> desvios padr\u00e3o <em>acima<\/em> da m\u00e9dia.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Matrizes multidimensionais numpy<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Se tivermos um array multidimensional, podemos usar o par\u00e2metro <strong>axis<\/strong> para especificar que queremos calcular cada pontua\u00e7\u00e3o z em rela\u00e7\u00e3o ao seu pr\u00f3prio array. Por exemplo, suponha que temos o seguinte array multidimensional:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data = np.array([[5, 6, 7, 7, 8],\n                 [8, 8, 8, 9, 9],\n                 [2, 2, 4, 4, 5]])\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Podemos usar a seguinte sintaxe para calcular pontua\u00e7\u00f5es z para cada tabela:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>stats.zscore(data, axis=1)\n\n[[-1.569 -0.588 0.392 0.392 1.373]\n[-0.816 -0.816 -0.816 1.225 1.225]\n[-1.167 -1.167 0.5 0.5 1.333]]\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">As pontua\u00e7\u00f5es z para cada valor individual s\u00e3o exibidas em rela\u00e7\u00e3o \u00e0 tabela em que s\u00e3o encontradas. Por exemplo:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O primeiro valor de \u201c5\u201d na primeira tabela est\u00e1 <strong>1,159<\/strong> desvios padr\u00e3o <em>abaixo<\/em> da m\u00e9dia de sua tabela.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O primeiro valor de \u201c8\u201d na segunda tabela est\u00e1 <strong>0,816<\/strong> desvios padr\u00e3o <em>abaixo<\/em> da m\u00e9dia da sua tabela.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O primeiro valor de \u201c2\u201d na terceira tabela est\u00e1 <strong>1,167<\/strong> desvios padr\u00e3o <em>abaixo<\/em> da m\u00e9dia de sua tabela.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Quadros de dados do Pandas<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Vamos supor que temos um DataFrame do Pandas:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data = pd.DataFrame(np.random.randint(0, 10, size=(5, 3)), columns=['A', 'B', 'C'])\ndata\n\nABC\n0 8 0 9\n1 4 0 7\n2 9 6 8\n3 1 8 1\n4 8 0 8\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Podemos usar a fun\u00e7\u00e3o <strong>apply<\/strong> para calcular a pontua\u00e7\u00e3o z de valores individuais por coluna:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data.apply(stats.zscore)\n\n          ABC\n0 0.659380 -0.802955 0.836080\n1 -0.659380 -0.802955 0.139347\n2 0.989071 0.917663 0.487713\n3 -1.648451 1.491202 -1.950852\n4 0.659380 -0.802955 0.487713\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">As pontua\u00e7\u00f5es z para cada valor individual s\u00e3o exibidas em rela\u00e7\u00e3o \u00e0 coluna em que est\u00e3o localizadas. Por exemplo:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">O primeiro valor de \u201c8\u201d na primeira coluna \u00e9 <strong>0,659<\/strong> desvios padr\u00e3o <em>acima<\/em> do valor m\u00e9dio da sua coluna.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O primeiro valor \u201c0\u201d na segunda coluna \u00e9 <strong>0,803<\/strong> desvios padr\u00e3o <em>inferior<\/em> ao valor m\u00e9dio em sua coluna.<\/span><\/li>\n<li> <span style=\"color: #000000;\">O primeiro valor de \u201c9\u201d na terceira coluna \u00e9 <strong>0,836<\/strong> desvios padr\u00e3o <em>acima<\/em> do valor m\u00e9dio da sua coluna.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Recursos adicionais:<\/strong><\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/pontuacao-z-excel\/\" target=\"_blank\" rel=\"noopener\">Como calcular pontua\u00e7\u00f5es Z no Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/pontuacao-z-spss\/\" target=\"_blank\" rel=\"noopener\">Como calcular pontua\u00e7\u00f5es Z no SPSS<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/calculadora-de-pontuacao-z-ti-84\/\" target=\"_blank\" rel=\"noopener\">Como calcular pontua\u00e7\u00f5es Z em uma calculadora TI-84<\/a><\/p>\n<dl class=\"field-list simple\">\n<dd class=\"field-odd\"><\/dd>\n<\/dl>\n","protected":false},"excerpt":{"rendered":"<p>Nas estat\u00edsticas, uma pontua\u00e7\u00e3o z nos diz quantos desvios padr\u00e3o um valor est\u00e1 da m\u00e9dia . Usamos a seguinte f\u00f3rmula para calcular uma pontua\u00e7\u00e3o z: z = (X \u2013 \u03bc) \/ \u03c3 Ouro: X \u00e9 um \u00fanico valor de dados brutos \u03bc \u00e9 a m\u00e9dia da popula\u00e7\u00e3o \u03c3 \u00e9 o desvio padr\u00e3o da popula\u00e7\u00e3o Este [&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-824","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 pontua\u00e7\u00f5es Z em Python \u2013 Estatologia<\/title>\n<meta name=\"description\" content=\"Uma explica\u00e7\u00e3o simples sobre como calcular pontua\u00e7\u00f5es z 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\/pontuacao-z-python\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Como calcular pontua\u00e7\u00f5es Z em Python \u2013 Estatologia\" \/>\n<meta property=\"og:description\" content=\"Uma explica\u00e7\u00e3o simples sobre como calcular pontua\u00e7\u00f5es z em Python.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/pontuacao-z-python\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T15:22:57+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\/pontuacao-z-python\/\",\"url\":\"https:\/\/statorials.org\/pt\/pontuacao-z-python\/\",\"name\":\"Como calcular pontua\u00e7\u00f5es Z em Python \u2013 Estatologia\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-28T15:22:57+00:00\",\"dateModified\":\"2023-07-28T15:22:57+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Uma explica\u00e7\u00e3o simples sobre como calcular pontua\u00e7\u00f5es z em Python.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/pontuacao-z-python\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/pontuacao-z-python\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/pontuacao-z-python\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Como calcular pontua\u00e7\u00f5es z 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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