{"id":2555,"date":"2023-07-21T18:14:57","date_gmt":"2023-07-21T18:14:57","guid":{"rendered":"https:\/\/statorials.org\/pl\/normalizacja-kwantylowa-w-r\/"},"modified":"2023-07-21T18:14:57","modified_gmt":"2023-07-21T18:14:57","slug":"normalizacja-kwantylowa-w-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/pl\/normalizacja-kwantylowa-w-r\/","title":{"rendered":"Jak przeprowadzi\u0107 normalizacj\u0119 kwantyli w r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">W statystyce <a href=\"https:\/\/en.wikipedia.org\/wiki\/Quantile_normalization\" target=\"_blank\" rel=\"noopener\">normalizacja kwantyli<\/a> jest metod\u0105, kt\u00f3ra sprawia, \u017ce dwa rozk\u0142ady s\u0105 identyczne pod wzgl\u0119dem w\u0142a\u015bciwo\u015bci statystycznych.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Poni\u017cszy przyk\u0142ad pokazuje, jak przeprowadzi\u0107 normalizacj\u0119 kwantyli w R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Przyk\u0142ad: normalizacja kwantyli w R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Za\u0142\u00f3\u017cmy, \u017ce tworzymy nast\u0119puj\u0105c\u0105 ramk\u0119 danych w R zawieraj\u0105c\u0105 dwie kolumny:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seeds<\/span> (0)\n\n<span style=\"color: #008080;\">#create data frame with two columns\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (x=rnorm(1000),\n                 y=rnorm(1000))\n\n<span style=\"color: #008080;\">#view first six rows of data frame\n<\/span>head(df)\n\n           xy\n1 1.2629543 -0.28685156\n2 -0.3262334 1.84110689\n3 1.3297993 -0.15676431\n4 1.2724293 -1.38980264\n5 0.4146414 -1.47310399\n6 -1.5399500 -0.06951893<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Mo\u017cemy u\u017cy\u0107 funkcji <a href=\"https:\/\/statorials.org\/pl\/przewodnik-dotyczacy-stosowania-lapply-sapply-i-tapply-w-r\/\" target=\"_blank\" rel=\"noopener\">sapply()<\/a> i <a href=\"https:\/\/statorials.org\/pl\/funkcja-kwantylowa-w-r\/\" target=\"_blank\" rel=\"noopener\">quantile()<\/a> do obliczenia kwantyli dla x i y:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate quantiles for x and y\n<\/span>sapply(df, function(x) quantile(x, probs = seq(0, 1, 1\/4)))\n\n               xy\n0% -3.23638573 -3.04536393\n25% -0.70845589 -0.73331907\n50% -0.05887078 -0.03181533\n75% 0.68763873 0.71755969\n100% 3.26641452 3.03903341\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Nale\u017cy zauwa\u017cy\u0107, \u017ce x i y maj\u0105 podobne warto\u015bci kwantyli, ale nie identyczne.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Na przyk\u0142ad 25. percentyl dla x wynosi <strong>-0,708<\/strong> , a 25. percentyl dla y to <strong>-0,7333<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Aby przeprowadzi\u0107 normalizacj\u0119 kwantyli, mo\u017cemy u\u017cy\u0107 funkcji <strong>normalize.quantiles()<\/strong> z pakietu <a href=\"https:\/\/bioconductor.org\/packages\/release\/bioc\/html\/preprocessCore.html\" target=\"_blank\" rel=\"noopener\">preprocessCore<\/a> w R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (preprocessCore)\n\n<span style=\"color: #008080;\">#perform quantile normalization\n<\/span>df_norm &lt;- as. <span style=\"color: #3366ff;\">data<\/span> . <span style=\"color: #3366ff;\">frame<\/span> ( <span style=\"color: #3366ff;\">normalize.quantiles<\/span> ( <span style=\"color: #3366ff;\">as.matrix<\/span> (df)))\n\n<span style=\"color: #008080;\">#rename data frame columns\n<\/span>names(df_norm) &lt;- c(' <span style=\"color: #ff0000;\">x<\/span> ', ' <span style=\"color: #ff0000;\">y<\/span> ')\n\n<span style=\"color: #008080;\">#view first six row of new data frame\n<\/span>head(df_norm)\n\n           xy\n1 1.2632137 -0.28520228\n2 -0.3469744 1.82440519\n3 1.3465807 -0.16471644\n4 1.2692599 -1.34472394\n5 0.4161133 -1.43717759\n6 -1.6269731 -0.07906793\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Mo\u017cemy nast\u0119pnie u\u017cy\u0107 nast\u0119puj\u0105cego kodu, aby ponownie obliczy\u0107 kwantyle dla x i y:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate quantiles for x and y\n<\/span>sapply(df_norm, function(x) quantile(x, probs = seq(0, 1, 1\/4)))\n\n               xy\n0% -3.14087483 -3.14087483\n25% -0.72088748 -0.72088748\n50% -0.04534305 -0.04534305\n75% 0.70259921 0.70259921\n100% 3.15272396 3.15272396\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Zauwa\u017c, \u017ce kwantyle s\u0105 teraz takie same dla x i y.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Powiedzieliby\u015bmy, \u017ce x i y zosta\u0142y znormalizowane kwantylowo. Innymi s\u0142owy, te dwa rozk\u0142ady s\u0105 teraz identyczne pod wzgl\u0119dem w\u0142a\u015bciwo\u015bci statystycznych.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dodatkowe zasoby<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Poni\u017csze samouczki wyja\u015bniaj\u0105, jak wykonywa\u0107 inne typowe zadania w j\u0119zyku R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/pl\/jak-normalizowac-dane-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak normalizowa\u0107 dane w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/percentyle-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak obliczy\u0107 percentyle w R<\/a><br \/> <a href=\"https:\/\/statorials.org\/pl\/funkcja-kwantylowa-w-r\/\" target=\"_blank\" rel=\"noopener\">Jak korzysta\u0107 z funkcji quantile() w R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>W statystyce normalizacja kwantyli jest metod\u0105, kt\u00f3ra sprawia, \u017ce dwa rozk\u0142ady s\u0105 identyczne pod wzgl\u0119dem w\u0142a\u015bciwo\u015bci statystycznych. Poni\u017cszy przyk\u0142ad pokazuje, jak przeprowadzi\u0107 normalizacj\u0119 kwantyli w R. Przyk\u0142ad: normalizacja kwantyli w R Za\u0142\u00f3\u017cmy, \u017ce tworzymy nast\u0119puj\u0105c\u0105 ramk\u0119 danych w R zawieraj\u0105c\u0105 dwie kolumny: #make this example reproducible set. seeds (0) #create data frame with two columns [&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-2555","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 przeprowadzi\u0107 normalizacj\u0119 kwantyli w R - Statorials<\/title>\n<meta name=\"description\" content=\"W tym samouczku wyja\u015bniono, jak przeprowadzi\u0107 normalizacj\u0119 kwantyli w j\u0119zyku R, podaj\u0105c pe\u0142ny przyk\u0142ad.\" \/>\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\/normalizacja-kwantylowa-w-r\/\" \/>\n<meta property=\"og:locale\" content=\"pl_PL\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Jak przeprowadzi\u0107 normalizacj\u0119 kwantyli w R - Statorials\" \/>\n<meta property=\"og:description\" content=\"W tym samouczku wyja\u015bniono, jak przeprowadzi\u0107 normalizacj\u0119 kwantyli w j\u0119zyku R, podaj\u0105c pe\u0142ny przyk\u0142ad.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/pl\/normalizacja-kwantylowa-w-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-21T18:14:57+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=\"2 minuty\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/pl\/normalizacja-kwantylowa-w-r\/\",\"url\":\"https:\/\/statorials.org\/pl\/normalizacja-kwantylowa-w-r\/\",\"name\":\"Jak przeprowadzi\u0107 normalizacj\u0119 kwantyli w R - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/pl\/#website\"},\"datePublished\":\"2023-07-21T18:14:57+00:00\",\"dateModified\":\"2023-07-21T18:14:57+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/pl\/#\/schema\/person\/6484727a4612df3e69f016c3129c6965\"},\"description\":\"W tym samouczku wyja\u015bniono, jak przeprowadzi\u0107 normalizacj\u0119 kwantyli w j\u0119zyku R, podaj\u0105c pe\u0142ny przyk\u0142ad.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/pl\/normalizacja-kwantylowa-w-r\/#breadcrumb\"},\"inLanguage\":\"pl-PL\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/pl\/normalizacja-kwantylowa-w-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/pl\/normalizacja-kwantylowa-w-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Dom\",\"item\":\"https:\/\/statorials.org\/pl\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Jak przeprowadzi\u0107 normalizacj\u0119 kwantyli w r\"}]},{\"@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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