{"id":2454,"date":"2023-07-22T05:13:51","date_gmt":"2023-07-22T05:13:51","guid":{"rendered":"https:\/\/statorials.org\/pt\/cdf-em-r-normal\/"},"modified":"2023-07-22T05:13:51","modified_gmt":"2023-07-22T05:13:51","slug":"cdf-em-r-normal","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/cdf-em-r-normal\/","title":{"rendered":"Como usar cdf normal em r (com exemplos)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Voc\u00ea pode usar os seguintes m\u00e9todos para trabalhar com o CDF normal (fun\u00e7\u00e3o de distribui\u00e7\u00e3o cumulativa) em R:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>M\u00e9todo 1: calcular probabilidades normais de CDF<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate probability that random value is less than 1.96 in normal CDF<\/span>\npnorm(1.96)\n\n<span style=\"color: #008080;\">#calculate probability that random value is greater than 1.96 in normal CDF<\/span>\npnorm(1.96, <span style=\"color: #3366ff;\">lower.tail<\/span> = <span style=\"color: #008000;\">FALSE<\/span> )\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>M\u00e9todo 2: tra\u00e7ar o CDF normal<\/strong><\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define sequence of x-values\n<\/span>x &lt;- seq(-4, 4, .01)\n\n<span style=\"color: #008080;\">#calculate normal CDF probabilities\n<\/span>prob &lt;- pnorm(x)\n \n<span style=\"color: #008080;\">#normal plot CDF\n<\/span>plot(x, prob, type=\" <span style=\"color: #ff0000;\">l<\/span> \")<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como usar esses m\u00e9todos na pr\u00e1tica.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 1: Calcular<\/strong><\/span> <span style=\"color: #000000;\"><strong>probabilidades<\/strong><\/span> normais de CDF<\/h3>\n<p> <span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como calcular a probabilidade de uma vari\u00e1vel aleat\u00f3ria assumir um valor menor que 1,96 em uma distribui\u00e7\u00e3o normal padr\u00e3o:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate probability that random value is less than 1.96 in normal CDF<\/span>\npnorm(1.96)\n\n[1] 0.9750021\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A probabilidade de uma vari\u00e1vel aleat\u00f3ria assumir um valor inferior a 1,96 em uma distribui\u00e7\u00e3o normal padr\u00e3o \u00e9 <strong>0,975<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tamb\u00e9m podemos encontrar a probabilidade de uma vari\u00e1vel aleat\u00f3ria assumir um valor maior que 1,96 usando o argumento <strong>lower.tail<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate probability that random value is greater than 1.96 in normal CDF<\/span>\npnorm(1.96, <span style=\"color: #3366ff;\">lower.tail<\/span> = <span style=\"color: #008000;\">FALSE<\/span> )\n\n[1] 0.0249979\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">E podemos usar a seguinte sintaxe para encontrar a probabilidade de uma vari\u00e1vel aleat\u00f3ria assumir um valor entre dois valores em uma distribui\u00e7\u00e3o normal padr\u00e3o:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate probability that random value takes on value between -1.96 and 1.96<\/span>\npnorm(1.96) - pnorm(-1.96)\n\n[1] 0.9500042\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">A probabilidade de uma vari\u00e1vel aleat\u00f3ria assumir um valor entre -1,96 e 1,96 em uma distribui\u00e7\u00e3o normal padr\u00e3o \u00e9 <strong>0,95<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo 2: Tra\u00e7ando o CDF Normal<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">O c\u00f3digo a seguir mostra como plotar um CDF normal:<\/span><\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define sequence of x-values\n<\/span>x &lt;- seq(-4, 4, .01)\n\n<span style=\"color: #008080;\">#calculate normal CDF probabilities\n<\/span>prob &lt;- pnorm(x)\n \n<span style=\"color: #008080;\">#normal plot CDF\n<\/span>plot(x, prob, type=\" <span style=\"color: #ff0000;\">l<\/span> \")<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-21963 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normcdf1.png\" alt=\"Gr\u00e1fico CDF normal em R\" width=\"434\" height=\"398\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O eixo x mostra os valores de uma vari\u00e1vel aleat\u00f3ria que segue uma distribui\u00e7\u00e3o normal padr\u00e3o e o eixo y mostra a probabilidade de uma vari\u00e1vel aleat\u00f3ria assumir um valor menor que o valor mostrado no eixo x.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, se olharmos para x = 1,96, veremos que a probabilidade cumulativa de x ser menor que 1,96 \u00e9 de aproximadamente <strong>0,975:<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21964 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normalcdf4.png\" alt=\"\" width=\"436\" height=\"400\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Observe que voc\u00ea tamb\u00e9m pode alterar a est\u00e9tica do gr\u00e1fico CDF normal:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define sequence of x-values\n<\/span>x &lt;- seq(-4, 4, .01)\n\n<span style=\"color: #008080;\">#calculate normal CDF probabilities\n<\/span>prob &lt;- pnorm(x)\n \n<span style=\"color: #008080;\">#normal plot CDF\n<\/span>plot(x, prob, type=' <span style=\"color: #ff0000;\">l<\/span> ', col=' <span style=\"color: #ff0000;\">blue<\/span> ', lwd= <span style=\"color: #008000;\">2<\/span> , main=' <span style=\"color: #ff0000;\">Normal CDF<\/span> ', ylab=' <span style=\"color: #ff0000;\">Cumulative Prob<\/span> ')<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-21965 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normalcdf5.png\" alt=\"\" width=\"437\" height=\"428\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Relacionado:<\/strong><\/span> <a href=\"https:\/\/statorials.org\/pt\/funcao-seq-em-r\/\" target=\"_blank\" rel=\"noopener\">Como usar a fun\u00e7\u00e3o seq em R<\/a><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Recursos adicionais<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como realizar outras opera\u00e7\u00f5es comuns em R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/tracar-a-distribuicao-normal-r\/\" target=\"_blank\" rel=\"noopener\">Como tra\u00e7ar uma distribui\u00e7\u00e3o normal em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/pontuacao-zr\/\" target=\"_blank\" rel=\"noopener\">Como calcular pontua\u00e7\u00f5es Z em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/dnorm-pnorm-rnorm-qnorm-em-r\/\" target=\"_blank\" rel=\"noopener\">Um guia para dnorm, pnorm, qnorm e rnorm em R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Voc\u00ea pode usar os seguintes m\u00e9todos para trabalhar com o CDF normal (fun\u00e7\u00e3o de distribui\u00e7\u00e3o cumulativa) em R: M\u00e9todo 1: calcular probabilidades normais de CDF #calculate probability that random value is less than 1.96 in normal CDF pnorm(1.96) #calculate probability that random value is greater than 1.96 in normal CDF pnorm(1.96, lower.tail = FALSE ) [&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-2454","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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