{"id":1167,"date":"2023-07-27T10:31:36","date_gmt":"2023-07-27T10:31:36","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-ikinci-dereceden-diskriminant-analizi\/"},"modified":"2023-07-27T10:31:36","modified_gmt":"2023-07-27T10:31:36","slug":"rde-ikinci-dereceden-diskriminant-analizi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-ikinci-dereceden-diskriminant-analizi\/","title":{"rendered":"R&#39;de i\u0307kinci dereceden diskriminant analizi (ad\u0131m ad\u0131m)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/ikinci-dereceden-diskriminant-analizi\/\" target=\"_blank\" rel=\"noopener noreferrer\">\u0130kinci dereceden diskriminant analizi,<\/a> bir dizi \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkeniniz oldu\u011funda ve bir <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener noreferrer\">yan\u0131t de\u011fi\u015fkenini<\/a> iki veya daha fazla s\u0131n\u0131fa s\u0131n\u0131fland\u0131rmak istedi\u011finizde kullanabilece\u011finiz bir y\u00f6ntemdir. Do\u011frusal diskriminant analizinin do\u011frusal olmayan e\u015fde\u011feri olarak kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde R&#8217;de ikinci dereceden diskriminant analizinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Gerekli Kitapl\u0131klar\u0131 Y\u00fckleyin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle bu \u00f6rnek i\u00e7in gerekli k\u00fct\u00fcphaneleri y\u00fckleyece\u011fiz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><b><span style=\"color: #993300;\">library<\/span> (MASS)\n<span style=\"color: #993300;\">library<\/span> (ggplot2)<\/b><\/span><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>2. Ad\u0131m: Verileri y\u00fckleyin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnek i\u00e7in, R&#8217;de yerle\u015fik olan <strong>iris<\/strong> veri k\u00fcmesini kullanaca\u011f\u0131z. A\u015fa\u011f\u0131daki kod, bu veri k\u00fcmesinin nas\u0131l y\u00fcklenip g\u00f6r\u00fcnt\u00fclenece\u011fini g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#attach <em>iris<\/em> dataset to make it easy to work with<\/span>\nattach(iris)\n\n<span style=\"color: #008080;\">#view structure of dataset\n<\/span>str(iris)\n\n'data.frame': 150 obs. of 5 variables:\n $ Sepal.Length: num 5.1 4.9 4.7 4.6 5 5.4 4.6 5 4.4 4.9 ...\n $ Sepal.Width: num 3.5 3 3.2 3.1 3.6 3.9 3.4 3.4 2.9 3.1 ...\n $Petal.Length: num 1.4 1.4 1.3 1.5 1.4 1.7 1.4 1.5 1.4 1.5 ...\n $Petal.Width: num 0.2 0.2 0.2 0.2 0.2 0.4 0.3 0.2 0.2 0.1 ...\n $ Species: Factor w\/ 3 levels \"setosa\",\"versicolor\",..: 1 1 1 1 1 1 1 ...\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Veri setinin toplamda 5 de\u011fi\u015fken ve 150 g\u00f6zlem i\u00e7erdi\u011fini g\u00f6r\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6rnekte, belirli bir \u00e7i\u00e7e\u011fin ait oldu\u011fu t\u00fcrleri s\u0131n\u0131fland\u0131rmak i\u00e7in ikinci dereceden bir diskriminant analiz modeli olu\u015fturaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Modelde a\u015fa\u011f\u0131daki tahmin de\u011fi\u015fkenlerini kullanaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Sepal uzunlu\u011fu<\/span><\/li>\n<li> <span style=\"color: #000000;\">Sepal.Geni\u015flik<\/span><\/li>\n<li> <span style=\"color: #000000;\">Petal.Uzunluk<\/span><\/li>\n<li> <span style=\"color: #000000;\">Yaprak Geni\u015fli\u011fi<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bunlar\u0131, a\u015fa\u011f\u0131daki \u00fc\u00e7 potansiyel s\u0131n\u0131f\u0131 destekleyen <em>T\u00fcr<\/em> yan\u0131t de\u011fi\u015fkenini tahmin etmek i\u00e7in kullanaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">setosa<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00e7ok renkli<\/span><\/li>\n<li> <span style=\"color: #000000;\">Virjinya<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>3. Ad\u0131m: E\u011fitim ve test \u00f6rnekleri olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra veri setini, modeli e\u011fitmek i\u00e7in bir e\u011fitim setine ve modeli test etmek i\u00e7in bir test setine b\u00f6lece\u011fiz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#make this example reproducible\n<\/span>set.seed(1)\n\n<span style=\"color: #008080;\">#Use 70% of dataset as training set and remaining 30% as testing set\n<\/span>sample &lt;- sample(c( <span style=\"color: #008000;\">TRUE<\/span> , <span style=\"color: #008000;\">FALSE<\/span> ), <span style=\"color: #3366ff;\">nrow<\/span> (iris), <span style=\"color: #3366ff;\">replace<\/span> = <span style=\"color: #008000;\">TRUE<\/span> , <span style=\"color: #3366ff;\">prob<\/span> =c(0.7,0.3))\ntrain &lt;- iris[sample, ]\ntest &lt;- iris[!sample, ] \n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>4. Ad\u0131m: QDA modelini ayarlay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, QDA modelini verilerimize uyarlamak i\u00e7in <strong>MASS<\/strong> paketindeki <a href=\"https:\/\/www.rdocumentation.org\/packages\/MASS\/versions\/7.3-53\/topics\/qda\" target=\"_blank\" rel=\"noopener noreferrer\">qda() fonksiyonunu<\/a> kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit QDA model\n<\/span>model &lt;- qda(Species~., data=train)\n\n<span style=\"color: #008080;\">#view model output<\/span>\nmodel\n\nCall:\nqda(Species ~ ., data = train)\n\nPrior probabilities of groups:\n    setosa versicolor virginica \n 0.3207547 0.3207547 0.3584906 \n\nGroup means:\n           Sepal.Length Sepal.Width Petal.Length Petal.Width\nsetosa 4.982353 3.411765 1.482353 0.2411765\nversicolor 5.994118 2.794118 4.358824 1.3676471\nvirginica 6.636842 2.973684 5.592105 2.0552632 \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Model sonu\u00e7lar\u0131n\u0131 nas\u0131l yorumlayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grup \u00f6n olas\u0131l\u0131klar\u0131:<\/strong> Bunlar e\u011fitim setindeki her t\u00fcr\u00fcn oranlar\u0131n\u0131 temsil eder. \u00d6rne\u011fin, e\u011fitim setindeki t\u00fcm g\u00f6zlemlerin %35,8&#8217;i <em>virginica<\/em> t\u00fcr\u00fc i\u00e7indi.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grup ortalamalar\u0131:<\/strong> Bunlar, her t\u00fcr i\u00e7in her yorday\u0131c\u0131 de\u011fi\u015fkenin ortalama de\u011ferlerini g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Tahminlerde bulunmak i\u00e7in modeli kullan\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">E\u011fitim verilerimizi kullanarak modeli yerle\u015ftirdikten sonra bunu test verilerimiz \u00fczerinde tahminlerde bulunmak i\u00e7in kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#use QDA model to make predictions on test data\n<\/span>predicted &lt;- <span style=\"color: #3366ff;\">predict<\/span> (model, test)\n\nnames(predicted)\n\n[1] \"class\" \"posterior\" \"x\"   \n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu, iki de\u011fi\u015fkenli bir liste d\u00f6nd\u00fcr\u00fcr:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>s\u0131n\u0131f:<\/strong> tahmin edilen s\u0131n\u0131f<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>posterior:<\/strong> Bir g\u00f6zlemin her bir s\u0131n\u0131fa ait olmas\u0131n\u0131n <a href=\"https:\/\/statorials.org\/tr\/arka-olasilik\/\" target=\"_blank\" rel=\"noopener noreferrer\">sonsal olas\u0131l\u0131\u011f\u0131<\/a><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Test veri setimizdeki ilk alt\u0131 g\u00f6zlem i\u00e7in bu sonu\u00e7lar\u0131n her birini h\u0131zl\u0131 bir \u015fekilde g\u00f6rselle\u015ftirebiliyoruz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#view predicted class for first six observations in test set\n<\/span>head(predicted$class)\n\n[1] setosa setosa setosa setosa setosa setosa\nLevels: setosa versicolor virginica\n\n<span style=\"color: #008080;\">#view posterior probabilities for first six observations in test set<\/span>\nhead(predicted$posterior)\n\n   setosa versicolor virginica\n4 1 7.224770e-20 1.642236e-29\n6 1 6.209196e-26 8.550911e-38\n7 1 1.248337e-21 8.132700e-32\n15 1 2.319705e-35 5.094803e-50\n17 1 1.396840e-29 9.586504e-43\n18 1 7.581165e-25 8.611321e-37\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 6: Modeli de\u011ferlendirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">QDA modelinin g\u00f6zlemlerin y\u00fczde ka\u00e7\u0131n\u0131n t\u00fcrleri do\u011fru \u015fekilde tahmin etti\u011fini g\u00f6rmek i\u00e7in a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#find accuracy of model\n<\/span>mean(predicted$class==test$Species)\n\n[1] 1<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Modelin, test veri setimizdeki g\u00f6zlemlerin <strong>%100&#8217;\u00fc<\/strong> i\u00e7in t\u00fcrleri do\u011fru \u015fekilde tahmin etti\u011fi ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ger\u00e7ek d\u00fcnyada, bir QDA modeli her s\u0131n\u0131f\u0131n sonu\u00e7lar\u0131n\u0131 nadiren do\u011fru bir \u015fekilde tahmin eder, ancak bu iris veri seti, makine \u00f6\u011frenimi algoritmalar\u0131n\u0131n \u00e7ok iyi performans g\u00f6sterme e\u011filiminde olaca\u011f\u0131 \u015fekilde basit\u00e7e olu\u015fturulmu\u015ftur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde kullan\u0131lan R kodunun tamam\u0131n\u0131 <a href=\"https:\/\/github.com\/Statorials\/R-Guides\/blob\/main\/quadratic_discriminant_analysis\" target=\"_blank\" rel=\"noopener noreferrer\">burada<\/a> bulabilirsiniz.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130kinci dereceden diskriminant analizi, bir dizi \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkeniniz oldu\u011funda ve bir yan\u0131t de\u011fi\u015fkenini iki veya daha fazla s\u0131n\u0131fa s\u0131n\u0131fland\u0131rmak istedi\u011finizde kullanabilece\u011finiz bir y\u00f6ntemdir. Do\u011frusal diskriminant analizinin do\u011frusal olmayan e\u015fde\u011feri olarak kabul edilir. Bu e\u011fitimde R&#8217;de ikinci dereceden diskriminant analizinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin ad\u0131m ad\u0131m bir \u00f6rnek sunulmaktad\u0131r. Ad\u0131m 1: Gerekli Kitapl\u0131klar\u0131 Y\u00fckleyin \u00d6ncelikle bu \u00f6rnek [&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-1167","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 \u0130kinci Dereceden Diskriminant Analizi (ad\u0131m ad\u0131m)<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere R&#039;de ikinci dereceden diskriminant analizinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" 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