{"id":1822,"date":"2023-07-24T20:37:49","date_gmt":"2023-07-24T20:37:49","guid":{"rendered":"https:\/\/statorials.org\/pt\/padronizacao-vs-normalizacao\/"},"modified":"2023-07-24T20:37:49","modified_gmt":"2023-07-24T20:37:49","slug":"padronizacao-vs-normalizacao","status":"publish","type":"post","link":"https:\/\/statorials.org\/pt\/padronizacao-vs-normalizacao\/","title":{"rendered":"Padroniza\u00e7\u00e3o ou normaliza\u00e7\u00e3o: qual a diferen\u00e7a?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Padroniza\u00e7\u00e3o<\/strong> e <strong>normaliza\u00e7\u00e3o<\/strong> s\u00e3o duas maneiras de redimensionar dados.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>A normaliza\u00e7\u00e3o<\/strong> dimensiona um conjunto de dados para ter uma m\u00e9dia de 0 e um desvio padr\u00e3o de 1. Para fazer isso, ela usa a seguinte f\u00f3rmula:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>x <sub>novo<\/sub> = (x <sub>i<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) \/ s<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : o i- <sup>\u00e9simo<\/sup> valor do conjunto de dados<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span><\/strong> : A amostra significa<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s<\/strong> : o desvio padr\u00e3o da amostra<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>A normaliza\u00e7\u00e3o<\/strong> redimensiona um conjunto de dados para que cada valor fique entre 0 e 1. Isso \u00e9 feito usando a seguinte f\u00f3rmula:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>x <sub>novo<\/sub> = (x <sub>i<\/sub> \u2013 x <sub>min<\/sub> ) \/ (x <sub>m\u00e1x<\/sub> \u2013 x <sub>min<\/sub> )<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Ouro:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>i<\/sub><\/strong> : o i- <sup>\u00e9simo<\/sup> valor do conjunto de dados<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>min<\/sub><\/strong> : o valor m\u00ednimo no conjunto de dados<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>max<\/sub><\/strong> : o valor m\u00e1ximo no conjunto de dados<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Os exemplos a seguir mostram como padronizar e normalizar um conjunto de dados na pr\u00e1tica.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo: Como padronizar dados<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Suponha que temos o seguinte conjunto de dados:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16491 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaliser01.png\" alt=\"\" width=\"98\" height=\"356\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O valor m\u00e9dio no conjunto de dados \u00e9 43,15 e o desvio padr\u00e3o \u00e9 22,13.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para normalizar o primeiro valor de <strong>13<\/strong> , aplicar\u00edamos a f\u00f3rmula compartilhada anteriormente:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>novo<\/sub> = ( <sub>xi<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) \/ s<\/strong> = (13 \u2013 43,15) \/ 22,13 = <strong>-1,36<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Para normalizar o segundo valor de <strong>16<\/strong> , usar\u00edamos a mesma f\u00f3rmula:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>novo<\/sub> = ( <sub>xi<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) \/ s<\/strong> = (16 \u2013 43,15) \/ 22,13 = <strong>-1,23<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Para normalizar o terceiro valor de <strong>19<\/strong> , usar\u00edamos a mesma f\u00f3rmula:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>novo<\/sub> = ( <sub>xi<\/sub> \u2013 <span style=\"text-decoration: overline;\">x<\/span> ) \/ s<\/strong> = (19 \u2013 43,15) \/ 22,13 = <strong>-1,09<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Podemos usar exatamente esta mesma f\u00f3rmula para padronizar cada valor no conjunto de dados original:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-17655 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standardiser0.png\" alt=\"\" width=\"197\" height=\"360\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Exemplo: como normalizar dados<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Novamente, suponha que temos o seguinte conjunto de dados:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-16491 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaliser01.png\" alt=\"\" width=\"98\" height=\"356\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">O valor m\u00ednimo no conjunto de dados \u00e9 13 e o valor m\u00e1ximo \u00e9 71.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Para normalizar o primeiro valor de <strong>13<\/strong> , aplicar\u00edamos a f\u00f3rmula compartilhada anteriormente:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>novo<\/sub> = ( <sub>xi<\/sub> \u2013 x <sub>min<\/sub> ) \/ (x <sub>m\u00e1x<\/sub> \u2013 x <sub>min<\/sub> )<\/strong> = (13 \u2013 13) \/ (71 \u2013 13) = <strong>0<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Para normalizar o segundo valor de <strong>16<\/strong> , usar\u00edamos a mesma f\u00f3rmula:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>novo<\/sub> = ( <sub>xi<\/sub> \u2013 x <sub>min<\/sub> ) \/ (x <sub>m\u00e1x<\/sub> \u2013 x <sub>min<\/sub> )<\/strong> = (16 \u2013 13) \/ (71 \u2013 13) = <strong>0,0517<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Para normalizar o terceiro valor de <strong>19<\/strong> , usar\u00edamos a mesma f\u00f3rmula:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x <sub>novo<\/sub> = ( <sub>xi<\/sub> \u2013 x <sub>min<\/sub> ) \/ (x <sub>m\u00e1x<\/sub> \u2013 x <sub>min<\/sub> )<\/strong> = (19 \u2013 13) \/ (71 \u2013 13) = <strong>0,1034<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Podemos usar exatamente esta mesma f\u00f3rmula para normalizar cada valor no conjunto de dados original entre 0 e 1:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-16492 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaliser01-1.png\" alt=\"Normalizar dados entre 0 e 1\" width=\"190\" height=\"354\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <strong>Padroniza\u00e7\u00e3o ou normaliza\u00e7\u00e3o: quando utiliz\u00e1-las?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Normalmente, <strong>normalizamos<\/strong> os dados quando estamos fazendo algum tipo de an\u00e1lise em que temos m\u00faltiplas vari\u00e1veis medidas em escalas diferentes e queremos que cada uma das vari\u00e1veis tenha o mesmo intervalo.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Isto evita que uma vari\u00e1vel tenha influ\u00eancia indevida, especialmente se for medida em unidades diferentes (ou seja, se uma vari\u00e1vel for medida em polegadas e outra em jardas).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por outro lado, normalmente <strong>normalizamos<\/strong> os dados quando queremos saber quantos desvios padr\u00e3o cada valor em um conjunto de dados est\u00e1 em rela\u00e7\u00e3o \u00e0 m\u00e9dia.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Por exemplo, podemos ter uma lista de notas de exames para 500 alunos de uma determinada escola e gostar\u00edamos de saber quantos desvios padr\u00e3o cada nota de exame est\u00e1 em rela\u00e7\u00e3o \u00e0 nota m\u00e9dia.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Nesse caso, poder\u00edamos normalizar os dados brutos para conhecer essas informa\u00e7\u00f5es. Ent\u00e3o, uma pontua\u00e7\u00e3o padronizada de 1,26 nos diria que a pontua\u00e7\u00e3o do exame desse aluno em particular est\u00e1 1,26 desvios-padr\u00e3o acima da pontua\u00e7\u00e3o m\u00e9dia do exame.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Quer voc\u00ea decida normalizar ou padronizar seus dados, tenha em mente os seguintes pontos:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Um <strong>conjunto de dados normalizado<\/strong> sempre ter\u00e1 valores entre 0 e 1.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Um <strong>conjunto de dados padronizado<\/strong> ter\u00e1 m\u00e9dia 0 e desvio padr\u00e3o 1, mas n\u00e3o h\u00e1 limite superior ou inferior espec\u00edfico para os valores m\u00e1ximo e m\u00ednimo.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Dependendo do seu cen\u00e1rio espec\u00edfico, pode fazer mais sentido normalizar ou padronizar os dados.<\/span><\/p>\n<h3> <strong>Recursos adicionais<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Os tutoriais a seguir explicam como padronizar e normalizar dados em diferentes softwares estat\u00edsticos:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pt\/como-normalizar-dados-em-r\/\" target=\"_blank\" rel=\"noopener\">Como normalizar dados em R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/normalizar-dados-do-excel\/\" target=\"_blank\" rel=\"noopener\">Como normalizar dados no Excel<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/normalizar-colunas-do-dataframe-do-pandas\/\" target=\"_blank\" rel=\"noopener\">Como normalizar dados em Python<\/a><br \/> <a href=\"https:\/\/statorials.org\/pt\/normalizar-dados-em-r\/\" target=\"_blank\" rel=\"noopener\">Como padronizar dados em R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Padroniza\u00e7\u00e3o e normaliza\u00e7\u00e3o s\u00e3o duas maneiras de redimensionar dados. A normaliza\u00e7\u00e3o dimensiona um conjunto de dados para ter uma m\u00e9dia de 0 e um desvio padr\u00e3o de 1. Para fazer isso, ela usa a seguinte f\u00f3rmula: x novo = (x i \u2013 x ) \/ s Ouro: x i : o i- \u00e9simo valor do [&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-1822","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>Padroniza\u00e7\u00e3o ou normaliza\u00e7\u00e3o: qual a diferen\u00e7a?<\/title>\n<meta name=\"description\" content=\"Este tutorial explica a diferen\u00e7a entre padroniza\u00e7\u00e3o e normaliza\u00e7\u00e3o, 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\/padronizacao-vs-normalizacao\/\" \/>\n<meta property=\"og:locale\" content=\"pt_PT\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Padroniza\u00e7\u00e3o ou normaliza\u00e7\u00e3o: qual a diferen\u00e7a?\" \/>\n<meta property=\"og:description\" content=\"Este tutorial explica a diferen\u00e7a entre padroniza\u00e7\u00e3o e normaliza\u00e7\u00e3o, com v\u00e1rios exemplos.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pt\/padronizacao-vs-normalizacao\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-24T20:37:49+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/normaliser01.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=\"3 minutos\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pt\/padronizacao-vs-normalizacao\/\",\"url\":\"https:\/\/statorials.org\/pt\/padronizacao-vs-normalizacao\/\",\"name\":\"Padroniza\u00e7\u00e3o ou normaliza\u00e7\u00e3o: qual a diferen\u00e7a?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pt\/#website\"},\"datePublished\":\"2023-07-24T20:37:49+00:00\",\"dateModified\":\"2023-07-24T20:37:49+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pt\/#\/schema\/person\/e08f98e8db95e0aa9c310e1b27c9c666\"},\"description\":\"Este tutorial explica a diferen\u00e7a entre padroniza\u00e7\u00e3o e normaliza\u00e7\u00e3o, com v\u00e1rios exemplos.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pt\/padronizacao-vs-normalizacao\/#breadcrumb\"},\"inLanguage\":\"pt-PT\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pt\/padronizacao-vs-normalizacao\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pt\/padronizacao-vs-normalizacao\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Lar\",\"item\":\"https:\/\/statorials.org\/pt\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Padroniza\u00e7\u00e3o ou normaliza\u00e7\u00e3o: qual a diferen\u00e7a?\"}]},{\"@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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