{"id":2967,"date":"2023-07-19T20:57:51","date_gmt":"2023-07-19T20:57:51","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-iki-degiskenli-normal-dagilim\/"},"modified":"2023-07-19T20:57:51","modified_gmt":"2023-07-19T20:57:51","slug":"rde-iki-degiskenli-normal-dagilim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-iki-degiskenli-normal-dagilim\/","title":{"rendered":"R&#39;de i\u0307ki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m nas\u0131l sim\u00fcle edilir ve \u00e7izilir"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">\u0130statistikte iki de\u011fi\u015fken, topland\u0131\u011f\u0131nda normal da\u011f\u0131l\u0131ma sahipse iki de\u011fi\u015fkenli <strong>normal da\u011f\u0131l\u0131m<\/strong> izler.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Bu e\u011fitimde R&#8217;de a\u015fa\u011f\u0131daki g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131 sim\u00fcle edin<\/span><\/li>\n<li> <span style=\"color: #000000;\">Kontur grafi\u011fi (2B \u00e7izim) kullanarak iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131n grafi\u011fini \u00e7izin<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir y\u00fczey grafi\u011fi (3B \u00e7izim) kullanarak iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131n grafi\u011fini \u00e7izin<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Hadi gidelim!<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: R&#8217;de iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131 sim\u00fcle edin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">R&#8217;de iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131 sim\u00fcle etmenin en basit yolu, <strong>MASS<\/strong> paketindeki <strong>mvrnorm()<\/strong> i\u015flevini kullanmakt\u0131r.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, pratikte iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131 sim\u00fcle etmek i\u00e7in bu i\u015flevin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">library<\/span> (MASS)\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">0<\/span> )\n\n<span style=\"color: #008080;\">#simulate bivariate normal distribution\n<\/span>bivariate_data &lt;- as. <span style=\"color: #3366ff;\">data<\/span> . <span style=\"color: #3366ff;\">frame<\/span> (mvrnorm(n= <span style=\"color: #008000;\">100<\/span> ,\n                                        mu=c(0, 0),\n                                        Sigma=matrix(c(5, 3, 4, 4), ncol= <span style=\"color: #008000;\">2<\/span> )))\n\n<span style=\"color: #008080;\">#view first six rows of bivariate dataset\n<\/span>head(bivariate_data)\n\n           V1 V2\n1 -2.03600343 -2.9623059\n2 0.07719131 1.2948982\n3 -3.26729701 -1.7928069\n4 -2.62985132 -2.3015471\n5 -1.75126215 0.3056698\n6 3.67698436 2.2020238\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><strong>mvrnorm()<\/strong> i\u015flevine ili\u015fkin her ba\u011f\u0131ms\u0131z de\u011fi\u015fkenin yapt\u0131\u011f\u0131 \u015fey a\u015fa\u011f\u0131dad\u0131r:<\/span><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : \u00d6rnek boyutunu tan\u0131mlar<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>mu<\/strong> : Her de\u011fi\u015fkenin ortalamas\u0131n\u0131 tan\u0131mlar<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Sigma<\/strong> : \u0130ki de\u011fi\u015fkenin kovaryans matrisini tan\u0131mlar<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nihai sonu\u00e7, birbirine eklendi\u011finde normal bir da\u011f\u0131l\u0131m izleyen iki de\u011fi\u015fkenli bir veri \u00e7er\u00e7evesidir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2:<\/strong><\/span> <span style=\"color: #000000;\"><strong>\u0130ki De\u011fi\u015fkenli Normal Da\u011f\u0131l\u0131m\u0131n \u00c7izilmesi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">R&#8217;de iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131 \u00e7izmenin en kolay yolu <strong>mnormt()<\/strong> paketindeki i\u015flevleri kullanmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131n 2 boyutlu g\u00f6rselle\u015ftirmesini sa\u011flayan bir kontur grafi\u011fi olu\u015fturmak i\u00e7in bu paketin <strong>kontur()<\/strong> fonksiyonunu kullanabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">library<\/span> (mnormt)\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">0<\/span> )\n\n<span style=\"color: #008080;\">#create bivariate normal distribution\n<\/span>x &lt;- seq(-3, 3, 0.1) \ny &lt;- seq(-3, 3, 0.1)\nmu &lt;- c(0, 0)\nsigma &lt;- matrix(c(2, -1, -1, 2), nrow= <span style=\"color: #008000;\">2<\/span> )\nf &lt;- function(x, y) dmnorm(cbind(x, y), mu, sigma)\nz &lt;- outer(x, y, f)\n\n<span style=\"color: #008080;\">#create contour plot\n<\/span>contour(x, y, z)\n<\/strong><\/span><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-25707\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivar1.jpg\" alt=\"R'de iki de\u011fi\u015fkenli normal kontur grafi\u011fi\" width=\"448\" height=\"413\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131n 3 boyutlu g\u00f6rselle\u015ftirmesini sa\u011flayan bir y\u00fczey grafi\u011fi olu\u015fturmak i\u00e7in <strong>persp()<\/strong> i\u015flevini de kullanabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">library<\/span> (mnormt)\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">0<\/span> )\n\n<span style=\"color: #008080;\">#create bivariate normal distribution\n<\/span>x &lt;- seq(-3, 3, 0.1) \ny &lt;- seq(-3, 3, 0.1)\nmu &lt;- c(0, 0)\nsigma &lt;- matrix(c(2, -1, -1, 2), nrow= <span style=\"color: #008000;\">2<\/span> )\nf &lt;- function(x, y) dmnorm(cbind(x, y), mu, sigma)\nz &lt;- outer(x, y, f)\n\n<span style=\"color: #008080;\">#create surface plot\n<\/span>persp(x, y, z, theta= <span style=\"color: #008000;\">-30<\/span> , phi= <span style=\"color: #008000;\">25<\/span> , expand= <span style=\"color: #008000;\">0.6<\/span> , ticktype=' <span style=\"color: #ff0000;\">detailed<\/span> ')\n<\/strong><\/span><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-25708\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivar2.jpg\" alt=\"R'de iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m y\u00fczey grafi\u011fi\" width=\"447\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>persp()<\/strong> i\u015flevine ili\u015fkin her arg\u00fcman\u0131n yapt\u0131\u011f\u0131 \u015fey:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>theta, phi<\/strong> : \u0130zleme y\u00f6n\u00fc a\u00e7\u0131lar\u0131n\u0131 ayarlar.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>geni\u015flet<\/strong> : Z ekseninin boyutunu kontrol eder.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Ticktype<\/strong> : Eksenler \u00fczerindeki onay i\u015faretlerinin g\u00f6r\u00fcn\u00fcm\u00fcn\u00fc kontrol eder.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Nihai sonu\u00e7, iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131n 3 boyutlu y\u00fczey grafi\u011fidir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimler R&#8217;de di\u011fer olas\u0131l\u0131k da\u011f\u0131l\u0131mlar\u0131n\u0131n nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-dnorm-pnorm-rnorm-qnorm\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de normal da\u011f\u0131l\u0131m nas\u0131l kullan\u0131l\u0131r?<\/a><br \/><a href=\"https:\/\/statorials.org\/tr\/rde-dbinom-pbinom-qbinom-rbinom\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de binom da\u011f\u0131l\u0131m\u0131 nas\u0131l kullan\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ppois-ppois-qpois-rpois-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de Poisson da\u011f\u0131l\u0131m\u0131 nas\u0131l kullan\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-cok-terimli-dagilim\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00e7ok terimli da\u011f\u0131l\u0131m nas\u0131l kullan\u0131l\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte iki de\u011fi\u015fken, topland\u0131\u011f\u0131nda normal da\u011f\u0131l\u0131ma sahipse iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m izler. Bu e\u011fitimde R&#8217;de a\u015fa\u011f\u0131daki g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r: \u0130ki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131 sim\u00fcle edin Kontur grafi\u011fi (2B \u00e7izim) kullanarak iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131n grafi\u011fini \u00e7izin Bir y\u00fczey grafi\u011fi (3B \u00e7izim) kullanarak iki de\u011fi\u015fkenli normal da\u011f\u0131l\u0131m\u0131n grafi\u011fini \u00e7izin Hadi gidelim! \u00d6rnek 1: R&#8217;de iki [&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-2967","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 - 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