{"id":918,"date":"2023-07-28T07:59:26","date_gmt":"2023-07-28T07:59:26","guid":{"rendered":"https:\/\/statorials.org\/tr\/mahalanobis-mesafesi-r\/"},"modified":"2023-07-28T07:59:26","modified_gmt":"2023-07-28T07:59:26","slug":"mahalanobis-mesafesi-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/mahalanobis-mesafesi-r\/","title":{"rendered":"R cinsinden mahalanobis mesafesi nas\u0131l hesaplan\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Mahalanobis mesafesi<\/strong> \u00e7ok de\u011fi\u015fkenli bir uzayda iki nokta aras\u0131ndaki mesafedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Birden fazla de\u011fi\u015fkeni i\u00e7eren istatistiksel analizlerde ayk\u0131r\u0131 de\u011ferleri tespit etmek i\u00e7in s\u0131kl\u0131kla kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde R cinsinden Mahalanobis mesafesinin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: R cinsinden Mahalanobis mesafesi<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">R&#8217;deki bir veri k\u00fcmesindeki her <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlem<\/a> i\u00e7in Mahalanobis mesafesini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Veri k\u00fcmesini olu\u015fturun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak 20 \u00f6\u011frencinin s\u0131nav puanlar\u0131n\u0131, ders \u00e7al\u0131\u015farak ge\u00e7irdikleri saat say\u0131s\u0131n\u0131, girdikleri uygulama s\u0131nav say\u0131s\u0131n\u0131 ve dersteki mevcut notlar\u0131n\u0131 g\u00f6steren bir veri seti olu\u015fturaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data<\/span>\ndf = data.frame(score = c(91, 93, 72, 87, 86, 73, 68, 87, 78, 99, 95, 76, 84, 96, 76, 80, 83, 84, 73, 74) ,\n        hours = c(16, 6, 3, 1, 2, 3, 2, 5, 2, 5, 2, 3, 4, 3, 3, 3, 4, 3, 4, 4),\n        prep = c(3, 4, 0, 3, 4, 0, 1, 2, 1, 2, 3, 3, 3, 2, 2, 2, 3, 3, 2, 2),\n        grade = c(70, 88, 80, 83, 88, 84, 78, 94, 90, 93, 89, 82, 95, 94, 81, 93, 93, 90, 89, 89))\n\n<span style=\"color: #008080;\">#view first six rows of data\n<\/span>head(df)\n\n  score hours prep grade\n1 91 16 3 70\n2 93 6 4 88\n3 72 3 0 80\n4 87 1 3 83\n5 86 2 4 88\n6 73 3 0 84\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Her g\u00f6zlem i\u00e7in Mahalanobis mesafesini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, her g\u00f6zlem i\u00e7in Mahalanobis mesafesini hesaplamak amac\u0131yla R&#8217;de yerle\u015fik olan <a href=\"https:\/\/stat.ethz.ch\/R-manual\/R-devel\/library\/stats\/html\/mahalanobis.html\" target=\"_blank\" rel=\"noopener noreferrer\">mahalanobis()<\/a> fonksiyonunu kullanaca\u011f\u0131z ve bu fonksiyon a\u015fa\u011f\u0131daki s\u00f6zdizimini kullan\u0131r:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">mahalanobis (x, merkez, cov)<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> veri matrisi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>merkez:<\/strong> da\u011f\u0131l\u0131m\u0131n ortalama vekt\u00f6r\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>cov:<\/strong> da\u011f\u0131t\u0131m kovaryans matrisi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bu i\u015flevin veri k\u00fcmemiz i\u00e7in nas\u0131l uygulanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate Mahalanobis distance for each observation<\/span>\nmahalanobis(df, colMeans(df), cov(df))\n\n [1] 16.5019630 2.6392864 4.8507973 5.2012612 3.8287341 4.0905633\n [7] 4.2836303 2.4198736 1.6519576 5.6578253 3.9658770 2.9350178\n[13] 2.8102109 4.3682945 1.5610165 1.4595069 2.0245748 0.7502536\n[19] 2.7351292 2.2642268\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: Her Mahalanobis mesafesi i\u00e7in p de\u011ferini hesaplay\u0131n.<\/strong><\/span> <\/p>\n<div id=\"mv-first-video\" class=\"mv-video-target mv-video__featured mv-video__optimized mv-video__embedded\" data-video-id=\"tmdycgxksxqpmqpu0vbx\" data-autoplay=\"true\" data-automobile=\"true\" data-muted=\"true\" data-sticky=\"true\" data-autoinsert=\"true\" data-disable-jsonld=\"true\" data-video-placement-inited=\"true\">\n<div id=\"mediavine-video__target-div__8330b88d-7ed9-463c-85d3-dc370a4c9ab3\" class=\"mediavine-video__target-div\">\n<div class=\"mediavine-video__root-container\">\n<div class=\"mediavine-video__placement-container mediavine-video__bottom mediavine-video__right mediavine-video__dark-theme\">\n<div class=\"mediavine-video__title-bar\">\n<p> <span style=\"color: #000000;\">Baz\u0131 Mahalanobis mesafelerinin di\u011ferlerinden \u00e7ok daha b\u00fcy\u00fck oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mesafelerden herhangi birinin istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">p de\u011ferlerini<\/a> hesaplamam\u0131z gerekir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her mesafe i\u00e7in p de\u011feri, k = de\u011fi\u015fken say\u0131s\u0131 olmak \u00fczere, k-1 serbestlik derecesine sahip Mahalanobis mesafesinin ki-kare istatisti\u011fine kar\u015f\u0131l\u0131k gelen p de\u011feri olarak hesaplan\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durumda serbestlik derecesi 4-1 = 3&#8217;\u00fc kullanaca\u011f\u0131z.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create new column in data frame to hold Mahalanobis distances<\/span>\ndf$mahal &lt;- mahalanobis(df, colMeans(df), cov(df))\n\n<span style=\"color: #008080;\">#create new column in data frame to hold p-value for each Mahalanobis distance\n<\/span>df$p &lt;- <span style=\"color: #3366ff;\">pchisq<\/span> (df$mahal, df= <span style=\"color: #339966;\">3<\/span> , lower.tail=FALSE)\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df\n\n   score hours prep grade mahal p\n1 91 16 3 70 16.5019630 0.0008945642\n2 93 6 4 88 2.6392864 0.4506437265\n3 72 3 0 80 4.8507973 0.1830542407\n4 87 1 3 83 5.2012612 0.1576392526\n5 86 2 4 88 3.8287341 0.2805615121\n6 73 3 0 84 4.0905633 0.2518495222\n7 68 2 1 78 4.2836303 0.2324211504\n8 87 5 2 94 2.4198736 0.4899458807\n9 78 2 1 90 1.6519576 0.6476670033\n10 99 5 2 93 5.6578253 0.1294978092\n11 95 2 3 89 3.9658770 0.2651724541\n12 76 3 3 82 2.9350178 0.4017530495\n13 84 4 3 95 2.8102109 0.4218217836\n14 96 3 2 94 4.3682945 0.2243432904\n15 76 3 2 81 1.5610165 0.6682610031\n16 80 3 2 93 1.4595069 0.6916471506\n17 83 4 3 93 2.0245748 0.5673218169\n18 84 3 3 90 0.7502536 0.8613248635\n19 73 4 2 89 2.7351292 0.4342904353\n20 74 4 2 89 2.2642268 0.5194087143\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Genellikle <strong>0,001&#8217;den k\u00fc\u00e7\u00fck<\/strong> bir p de\u011feri ayk\u0131r\u0131 de\u011fer olarak kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk g\u00f6zlemin veri setinde bir ayk\u0131r\u0131 de\u011fer oldu\u011funu g\u00f6rebiliriz \u00e7\u00fcnk\u00fc p de\u011feri 0,001&#8217;den k\u00fc\u00e7\u00fckt\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sorunun ba\u011flam\u0131na ba\u011fl\u0131 olarak, ayk\u0131r\u0131 bir de\u011fer oldu\u011fundan ve analiz sonu\u00e7lar\u0131n\u0131 etkileyebilece\u011finden bu g\u00f6zlemi veri k\u00fcmesinden \u00e7\u0131karmaya karar verebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>\u0130lgili:<\/b><\/span> <a href=\"https:\/\/statorials.org\/tr\/cok-degiskenli-normallik-testi-r\/\" target=\"_blank\" rel=\"noopener noreferrer\">R&#8217;de \u00c7ok De\u011fi\u015fkenli Normallik Testleri Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/a><\/span><\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Mahalanobis mesafesi \u00e7ok de\u011fi\u015fkenli bir uzayda iki nokta aras\u0131ndaki mesafedir. Birden fazla de\u011fi\u015fkeni i\u00e7eren istatistiksel analizlerde ayk\u0131r\u0131 de\u011ferleri tespit etmek i\u00e7in s\u0131kl\u0131kla kullan\u0131l\u0131r. Bu e\u011fitimde R cinsinden Mahalanobis mesafesinin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: R cinsinden Mahalanobis mesafesi R&#8217;deki bir veri k\u00fcmesindeki her g\u00f6zlem i\u00e7in Mahalanobis mesafesini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131n. Ad\u0131m 1: Veri k\u00fcmesini [&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-918","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>R - Statorialsde Mahalanobis mesafesi nas\u0131l hesaplan\u0131r?<\/title>\n<meta name=\"description\" content=\"R cinsinden Mahalanobis mesafesinin nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnekle basit bir a\u00e7\u0131klama.\" \/>\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\/tr\/mahalanobis-mesafesi-r\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statorialsde Mahalanobis mesafesi nas\u0131l hesaplan\u0131r?\" \/>\n<meta property=\"og:description\" content=\"R cinsinden Mahalanobis mesafesinin nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnekle basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/mahalanobis-mesafesi-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T07:59:26+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"2 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/mahalanobis-mesafesi-r\/\",\"url\":\"https:\/\/statorials.org\/tr\/mahalanobis-mesafesi-r\/\",\"name\":\"R - Statorialsde Mahalanobis mesafesi nas\u0131l hesaplan\u0131r?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-28T07:59:26+00:00\",\"dateModified\":\"2023-07-28T07:59:26+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"R cinsinden Mahalanobis mesafesinin nas\u0131l hesaplanaca\u011f\u0131na dair bir \u00f6rnekle basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/mahalanobis-mesafesi-r\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/mahalanobis-mesafesi-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/mahalanobis-mesafesi-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R cinsinden mahalanobis mesafesi nas\u0131l hesaplan\u0131r?\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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