{"id":510,"date":"2023-07-29T16:08:42","date_gmt":"2023-07-29T16:08:42","guid":{"rendered":"https:\/\/statorials.org\/pl\/percentyle-w-r\/"},"modified":"2023-07-29T16:08:42","modified_gmt":"2023-07-29T16:08:42","slug":"percentyle-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/percentyle-w-r\/","title":{"rendered":"Jak \u0142atwo obliczy\u0107 percentyle w r (z przyk\u0142adami)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><sup>N-ty<\/sup> <strong>percentyl<\/strong> zbioru danych to warto\u015b\u0107, kt\u00f3ra odcina pierwsze <em>n<\/em> procent warto\u015bci danych, gdy wszystkie warto\u015bci s\u0105 posortowane od najmniejszej do najwi\u0119kszej.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad 90. percentyl zbioru danych to warto\u015b\u0107 oddzielaj\u0105ca dolne 90% warto\u015bci danych od g\u00f3rnych 10% warto\u015bci danych.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jednym z najcz\u0119\u015bciej u\u017cywanych percentyli jest 50. percentyl, kt\u00f3ry reprezentuje median\u0119 zbioru danych: jest to warto\u015b\u0107, poni\u017cej kt\u00f3rej spada 50% wszystkich warto\u015bci danych.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Percentyle mo\u017cna wykorzysta\u0107 do odpowiedzi na pytania takie jak:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Ile ucze\u0144 musi zdoby\u0107 w konkretnym te\u015bcie, aby znale\u017a\u0107 si\u0119 w najlepszych 10%?<\/strong> Aby odpowiedzie\u0107 na to pytanie, znale\u017aliby\u015bmy 90. percentyl wszystkich wynik\u00f3w, czyli warto\u015b\u0107 oddzielaj\u0105c\u0105 90% dolnych od 10% g\u00f3rnych.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Jaki wzrost obejmuje \u015bredni\u0105 po\u0142ow\u0119 wzrostu uczni\u00f3w w danej szkole?<\/strong> Aby odpowiedzie\u0107 na to pytanie, znale\u017aliby\u015bmy 75. percentyl wzrostu i 25. percentyl wzrostu, czyli dwie warto\u015bci okre\u015blaj\u0105ce g\u00f3rn\u0105 i doln\u0105 granic\u0119 \u015brodkowych 50% wzrostu.<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>Jak obliczy\u0107 percentyle w R<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Mo\u017cemy \u0142atwo obliczy\u0107 percentyle w R za pomoc\u0105 funkcji <strong>quantile()<\/strong> , kt\u00f3ra wykorzystuje nast\u0119puj\u0105c\u0105 sk\u0142adni\u0119:<\/span><\/p>\n<p style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>kwantyl<\/strong> (x, probs = seq(0, 1, 0,25))<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> wektor liczbowy, kt\u00f3rego percentyle chcemy znale\u017a\u0107<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>probs:<\/strong> numeryczny wektor prawdopodobie\u0144stw w [0,1] reprezentuj\u0105cy percentyle, kt\u00f3re chcemy znale\u017a\u0107<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Znajdowanie percentyli wektora<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod ilustruje, jak znale\u017a\u0107 r\u00f3\u017cne percentyle dla danego wektora w R:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create vector of 100 random values uniformly distributed between 0 and 500\n<\/span>data &lt;- runif(100, 0, 500)\n\n<span style=\"color: #008080;\">#Find the quartiles (25th, 50th, and 75th percentiles) of the vector\n<\/span><span style=\"color: #800080;\">quantile<\/span> (data, probs = c(.25, .5, .75))\n\n# 25% 50% 75% \n#97.78961 225.07593 356.47943 \n\n<span style=\"color: #008080;\">#Find the deciles (10th, 20th, 30th, ..., 90th percentiles) of the vector\n<\/span><span style=\"color: #800080;\">quantile<\/span> (data, probs = seq(.1, .9, by = .1))\n\n# 10% 20% 30% 40% 50% 60% 70% 80% \n#45.92510 87.16659 129.49574 178.27989 225.07593 300.79690 337.84393 386.36108 \n#90% \n#423.28070\n\n<span style=\"color: #008080;\">#Find the 37th, 53rd, and 87th percentiles\n<\/span><span style=\"color: #800080;\">quantile<\/span> (data, probs = c(.37, .53, .87))\n\n# 37% 53% 87% \n#159.9561 239.8420 418.4787 \n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Znajdowanie percentyli kolumny ramki danych<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Aby zilustrowa\u0107, jak znale\u017a\u0107 percentyle okre\u015blonej kolumny ramki danych, u\u017cyjemy wbudowanego zbioru danych <em>iris<\/em> :<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view first six rows of <em>iris<\/em> dataset\n<\/span>head(iris)\n\n  Sepal.Length Sepal.Width Petal.Length Petal.Width Species\n1 5.1 3.5 1.4 0.2 setosa\n2 4.9 3.0 1.4 0.2 setosa\n3 4.7 3.2 1.3 0.2 setosa\n4 4.6 3.1 1.5 0.2 setosa\n5 5.0 3.6 1.4 0.2 setosa\n6 5.4 3.9 1.7 0.4 setosa\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod pokazuje, jak znale\u017a\u0107 90. percentyl dla kolumny <em>Sepal.Length<\/em> :<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #800080;\">quantile<\/span> (iris$Sepal.Length, probs = 0.9)\n\n#90% \n#6.9<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Znajdowanie percentyli wielu kolumn ramki danych<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Mo\u017cemy tak\u017ce znale\u017a\u0107 percentyle wielu kolumn jednocze\u015bnie za pomoc\u0105 funkcji <a href=\"https:\/\/statorials.org\/pl\/przewodnik-dotyczacy-stosowania-lapply-sapply-i-tapply-w-r\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>Apply()<\/strong><\/a> :<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define columns we want to find percentiles for\n<\/span>small_iris&lt;- iris[, c('Sepal.Length', 'Sepal.Width', 'Petal.Length', 'Petal.Width')]\n\n<span style=\"color: #008080;\">#use <em>apply()<\/em> function to find 90th percentile for every column<\/span>\n<span style=\"color: #800080;\">apply<\/span> (small_iris, 2, function(x) quantile(x, probs = .9))\n\n#Sepal.Length Sepal.Width Petal.Length Petal.Width \n#6.90 3.61 5.80 2.20<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Wyszukiwanie percentyli wed\u0142ug grup<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Mo\u017cemy tak\u017ce znale\u017a\u0107 percentyle wed\u0142ug grup w R, korzystaj\u0105c z funkcji <strong>group_by()<\/strong> z biblioteki <a href=\"https:\/\/dplyr.tidyverse.org\/\" target=\"_blank\" rel=\"noopener noreferrer\"><strong>dplyr<\/strong><\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod ilustruje, jak znale\u017a\u0107 90. percentyl <em>Sepal.Length<\/em> dla ka\u017cdego z nich<\/span><br \/> <span style=\"color: #000000;\">trzy gatunki w zbiorze danych t\u0119cz\u00f3wki:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load <em>dplyr<\/em> library<\/span>\nlibrary(dplyr)\n\n<span style=\"color: #008080;\">#find 90th percentile of <em>Sepal.Length<\/em> for each of the three species<\/span>\niris %&gt;%\n  <span style=\"color: #800080;\">group_by<\/span> (Species) %&gt;%\n  <span style=\"color: #800080;\">summarize<\/span> (percent90 = quantile(Sepal.Length, probs = .9))\n\n# A tibble: 3 x 2\n#Speciespercent90\n#            \n#1 setosa 5.41\n#2 versicolor 6.7 \n#3 virginica 7.61<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod ilustruje, jak znale\u017a\u0107 90. percentyl dla wszystkich zmiennych wed\u0142ug gatunku:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>iris %&gt;%\n  <span style=\"color: #800080;\">group_by<\/span> (Species) %&gt;%\n  <span style=\"color: #800080;\">summarize<\/span> (percent90_SL = quantile(Sepal.Length, probs = .9),\n            percent90_SW = quantile(Sepal.Width, probs = .9),\n            percent90_PL = quantile(Petal.Length, probs = .9),\n            percent90_PW = quantile(Petal.Width, probs = .9))\n\n# A tibble: 3 x 5\n# Species percent90_SL percent90_SW percent90_PL percent90_PW\n#                                      \n#1 setosa 5.41 3.9 1.7 0.4 \n#2 versicolor 6.7 3.11 4.8 1.51\n#3 virginica 7.61 3.31 6.31 2.4 \n<\/strong><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Przegl\u0105danie percentyli<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">W j\u0119zyku R nie ma wbudowanej funkcji umo\u017cliwiaj\u0105cej wizualizacj\u0119 percentyli zbioru danych, ale mo\u017cemy stosunkowo \u0142atwo utworzy\u0107 wykres umo\u017cliwiaj\u0105cy wizualizacj\u0119 percentyli.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy kod ilustruje spos\u00f3b tworzenia wykresu percentylowego dla warto\u015bci danych <em>Sepal.Length<\/em> ze zbioru danych <em>t\u0119cz\u00f3wki<\/em> :<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong>n = length(iris$Sepal.Length)\nplot((1:n - 1)\/(n - 1), sort(iris$Sepal.Length), type=\"l\",\n  main = \"Visualizing Percentiles\",\n  xlab = \"Percentile\",\n  ylab = \"Value\")<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><b>Dodatkowe zasoby<\/b><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/pl\/przewodnik-dotyczacy-stosowania-lapply-sapply-i-tapply-w-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Przewodnik po Apply(), lapply(), sapply() i tapply() w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/mutacja-warunkowa-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">Utw\u00f3rz nowe zmienne w R za pomoc\u0105 mutate() i case_when()<\/a><strong><br \/><\/strong><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>N-ty percentyl zbioru danych to warto\u015b\u0107, kt\u00f3ra odcina pierwsze n procent warto\u015bci danych, gdy wszystkie warto\u015bci s\u0105 posortowane od najmniejszej do najwi\u0119kszej. Na przyk\u0142ad 90. percentyl zbioru danych to warto\u015b\u0107 oddzielaj\u0105ca dolne 90% warto\u015bci danych od g\u00f3rnych 10% warto\u015bci danych. Jednym z najcz\u0119\u015bciej u\u017cywanych percentyli jest 50. percentyl, kt\u00f3ry reprezentuje median\u0119 zbioru danych: jest to [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[3],"tags":[],"class_list":["post-510","post","type-post","status-publish","format-standard","hentry","category-przewodnik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Jak \u0142atwo obliczy\u0107 percentyle w R (z przyk\u0142adami) - Statoriale<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 percentyle w j\u0119zyku R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\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\/pl\/percentyle-w-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak \u0142atwo obliczy\u0107 percentyle w R (z przyk\u0142adami) - Statoriale\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 percentyle w j\u0119zyku R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/percentyle-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T16:08:42+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin Anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Napisane przez\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin Anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Szacowany czas czytania\" \/>\n\t<meta name=\"twitter:data2\" content=\"3 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/percentyle-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/percentyle-w-r\/\",\"name\":\"Jak \u0142atwo obliczy\u0107 percentyle w R (z przyk\u0142adami) - Statoriale\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-29T16:08:42+00:00\",\"dateModified\":\"2023-07-29T16:08:42+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak obliczy\u0107 percentyle w j\u0119zyku R, podaj\u0105c kilka przyk\u0142ad\u00f3w.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/percentyle-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/percentyle-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/percentyle-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak \u0142atwo obliczy\u0107 percentyle w r (z przyk\u0142adami)\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/pl\/#website\",\"url\":\"https:\/\/statorials.org\/pl\/\",\"name\":\"Statorials\",\"description\":\"Tw\u00f3j przewodnik po kompetencjach statystycznych!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/pl\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"pl-PL\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\",\"name\":\"Benjamin Anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"pl-PL\",\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/pl\/wp-content\/uploads\/2023\/11\/Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin Anderson\"},\"description\":\"Cze\u015b\u0107, jestem Benjamin i jestem emerytowanym profesorem statystyki, kt\u00f3ry zosta\u0142 oddanym nauczycielem Statorials. 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