{"id":3585,"date":"2023-07-16T16:59:09","date_gmt":"2023-07-16T16:59:09","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-cok-boyutlu-olcekleme\/"},"modified":"2023-07-16T16:59:09","modified_gmt":"2023-07-16T16:59:09","slug":"rde-cok-boyutlu-olcekleme","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-cok-boyutlu-olcekleme\/","title":{"rendered":"R&#39;de \u00e7ok boyutlu \u00f6l\u00e7eklendirme nas\u0131l yap\u0131l\u0131r (\u00f6rnekle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte, <strong>\u00e7ok boyutlu \u00f6l\u00e7eklendirme<\/strong> , soyut bir Kartezyen uzayda (genellikle 2B uzay) bir veri k\u00fcmesindeki g\u00f6zlemlerin benzerli\u011fini g\u00f6rselle\u015ftirmenin bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">R&#8217;de \u00e7ok boyutlu \u00f6l\u00e7ekleme ger\u00e7ekle\u015ftirmenin en kolay yolu, a\u015fa\u011f\u0131daki temel s\u00f6zdizimini kullanan yerle\u015fik <strong>cmdscale()<\/strong> i\u015flevini kullanmakt\u0131r:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">cmdscale(d, eig = YANLI\u015e, k = 2, \u2026)<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>d<\/strong> : Genellikle <strong>dist()<\/strong> i\u015flevi taraf\u0131ndan hesaplanan bir mesafe matrisi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>eig<\/strong> : \u00f6zde\u011ferlerin d\u00f6nd\u00fcr\u00fcl\u00fcp d\u00f6nd\u00fcr\u00fclmeyece\u011fi.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>k<\/strong> : Verilerin g\u00f6r\u00fcnt\u00fclenece\u011fi boyutlar\u0131n say\u0131s\u0131. Varsay\u0131lan <strong>2&#8217;dir<\/strong> .<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekte bu fonksiyonun pratikte nas\u0131l kullan\u0131laca\u011f\u0131 g\u00f6sterilmektedir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de \u00c7ok Boyutlu \u00d6l\u00e7ekleme<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">R&#8217;de \u00e7e\u015fitli basketbol oyuncular\u0131 hakk\u0131nda bilgi i\u00e7eren a\u015fa\u011f\u0131daki veri \u00e7er\u00e7evesine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create data frame\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (points=c(4, 4, 6, 7, 8, 14, 16, 19, 25, 25, 28),\n                 assists=c(3, 2, 2, 5, 4, 8, 7, 6, 8, 10, 11),\n                 blocks=c(7, 3, 6, 7, 5, 8, 8, 4, 2, 2, 1),\n                 rebounds=c(4, 5, 5, 6, 5, 8, 10, 4, 3, 2, 2))\n\n<span style=\"color: #008080;\">#add row names\n<\/span>row. <span style=\"color: #3366ff;\">names<\/span> (df) &lt;- LETTERS[1:11]\n\n<span style=\"color: #008080;\">#view data frame\n<\/span>df\n\n  points assists blocks rebounds\nA 4 3 7 4\nB 4 2 3 5\nC 6 2 6 5\nD 7 5 7 6\nE 8 4 5 5\nF 14 8 8 8\nG 16 7 8 10\nH 19 6 4 4\nI 25 8 2 3\nD 25 10 2 2\nK 28 11 1 2<\/strong><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><strong>cmdscale()<\/strong> fonksiyonu ile \u00e7ok boyutlu \u00f6l\u00e7ekleme ger\u00e7ekle\u015ftirmek ve sonu\u00e7lar\u0131 2 boyutlu alanda g\u00f6rselle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #008080;\">#calculate distance matrix\n<\/span>d &lt;- dist(df)\n\n<span style=\"color: #008080;\">#perform multidimensional scaling\n<\/span>fit &lt;- cmdscale(d, eig= <span style=\"color: #008000;\">TRUE<\/span> , k= <span style=\"color: #008000;\">2<\/span> )\n\n<span style=\"color: #008080;\">#extract (x, y) coordinates of multidimensional scaling\n<\/span>x &lt;- fit$points[,1]\ny &lt;- fit$points[,2]\n\n<span style=\"color: #008080;\">#create scatterplot\n<\/span>plot(x, y, xlab=\" <span style=\"color: #ff0000;\">Coordinate 1<\/span> \", ylab=\" <span style=\"color: #ff0000;\">Coordinate 2<\/span> \",\n     main=\" <span style=\"color: #ff0000;\">Multidimensional Scaling Results<\/span> \", type=\" <span style=\"color: #ff0000;\">n<\/span> \")\n\n<span style=\"color: #008080;\">#add row names of data frame as labels\n<\/span>text(x, y, labels=row. <span style=\"color: #3366ff;\">names<\/span> (df))\n<\/span><\/span><\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-29590\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mds1.jpg\" alt=\"R'de \u00e7ok boyutlu \u00f6l\u00e7eklendirme\" width=\"481\" height=\"402\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Orijinal veri \u00e7er\u00e7evesindeki orijinal d\u00f6rt s\u00fctunda (say\u0131lar, asistler, bloklar ve ribaundlar) benzer de\u011ferlere sahip olan oyuncular olay \u00f6rg\u00fcs\u00fcnde birbirine yak\u0131nd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin <strong>A<\/strong> ve <strong>C<\/strong> oyuncular\u0131 birbirine kapal\u0131d\u0131r. \u0130\u015fte orijinal veri \u00e7er\u00e7evesindeki de\u011ferleri:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view data frame values for players A and C<\/span>\ndf[rownames(df) <span style=\"color: #800080;\">%in%<\/span> c(' <span style=\"color: #ff0000;\">A<\/span> ', ' <span style=\"color: #ff0000;\">C<\/span> '), ]\n\n  points assists blocks rebounds\nA 4 3 7 4\nC 6 2 6 5<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Say\u0131, asist, blok ve ribaund de\u011ferleri olduk\u00e7a benzer, bu da 2 boyutlu senaryoda neden birbirlerine bu kadar yak\u0131n olduklar\u0131n\u0131 a\u00e7\u0131kl\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunun tersine, olay \u00f6rg\u00fcs\u00fcnde birbirlerinden \u00e7ok uzakta olan <strong>B<\/strong> ve <strong>K<\/strong> oyuncular\u0131n\u0131 d\u00fc\u015f\u00fcn\u00fcn.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Orijinal verilerdeki de\u011ferlerine bakarsak olduk\u00e7a farkl\u0131 olduklar\u0131n\u0131 g\u00f6rebiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view data frame values for players B and K<\/span>\ndf[rownames(df) <span style=\"color: #800080;\">%in%<\/span> c(' <span style=\"color: #ff0000;\">B<\/span> ', ' <span style=\"color: #ff0000;\">K<\/span> '), ]\n\n  points assists blocks rebounds\nB 4 2 3 5\nK 28 11 1 2<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla 2 boyutlu \u00e7izim, her oyuncunun veri \u00e7er\u00e7evesindeki t\u00fcm de\u011fi\u015fkenler a\u00e7\u0131s\u0131ndan ne kadar benzer oldu\u011funu g\u00f6rselle\u015ftirmenin iyi bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Benzer istatistiklere sahip oyuncular birbirine yak\u0131n grupland\u0131r\u0131l\u0131rken, \u00e7ok farkl\u0131 istatistiklere sahip oyuncular olay \u00f6rg\u00fcs\u00fcnde birbirlerinden daha uzakta bulunur.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>cmdscale()<\/strong> i\u015flevinin sonu\u00e7lar\u0131n\u0131 saklad\u0131\u011f\u0131m\u0131z de\u011fi\u015fkenin ad\u0131 olan <strong>fit<\/strong> yazarak da \u00e7izimdeki her oyuncunun tam koordinatlar\u0131n\u0131 (x, y) \u00e7\u0131karabilece\u011finizi unutmay\u0131n:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view (x, y) coordinates of points in the plot<\/span>\nfit\n\n         [,1] [,2]\nA -10.6617577 -1.2511291\nB -10.3858237 -3.3450473\nC -9.0330408 -1.1968116\nD -7.4905743 1.0578445\nE -6.4021114 -1.0743669\nF -0.4618426 4.7392534\nG 0.8850934 6.1460850\nH 4.7352436 -0.6004609\nI 11.3793381 -1.3563398\nJ 12.0844168 -1.5494108\nK 15.3510585 -1.5696166\n<\/strong><\/pre>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde R&#8217;de di\u011fer ortak g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rdeki-veriler-nasil-normallestirilir\/\" target=\"_blank\" rel=\"noopener\">R&#8217;deki veriler nas\u0131l normalle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/verileri-rde-ortala\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de veri merkezi nas\u0131l olu\u015fturulur?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/aykiri-degerleri-kaldir-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de ayk\u0131r\u0131 de\u011ferler nas\u0131l kald\u0131r\u0131l\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte, \u00e7ok boyutlu \u00f6l\u00e7eklendirme , soyut bir Kartezyen uzayda (genellikle 2B uzay) bir veri k\u00fcmesindeki g\u00f6zlemlerin benzerli\u011fini g\u00f6rselle\u015ftirmenin bir yoludur. R&#8217;de \u00e7ok boyutlu \u00f6l\u00e7ekleme ger\u00e7ekle\u015ftirmenin en kolay yolu, a\u015fa\u011f\u0131daki temel s\u00f6zdizimini kullanan yerle\u015fik cmdscale() i\u015flevini kullanmakt\u0131r: cmdscale(d, eig = YANLI\u015e, k = 2, \u2026) Alt\u0131n: d : Genellikle dist() i\u015flevi taraf\u0131ndan hesaplanan bir mesafe matrisi. [&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-3585","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&#039;de \u00c7ok Boyutlu \u00d6l\u00e7eklendirme Nas\u0131l Yap\u0131l\u0131r (\u00d6rnekle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;de \u00e7ok boyutlu \u00f6l\u00e7eklendirmenin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi bir \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/rde-cok-boyutlu-olcekleme\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de \u00c7ok Boyutlu \u00d6l\u00e7eklendirme Nas\u0131l Yap\u0131l\u0131r (\u00d6rnekle) - 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