{"id":1750,"date":"2023-07-25T03:37:36","date_gmt":"2023-07-25T03:37:36","guid":{"rendered":"https:\/\/statorials.org\/tr\/aicden-rye\/"},"modified":"2023-07-25T03:37:36","modified_gmt":"2023-07-25T03:37:36","slug":"aicden-rye","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/aicden-rye\/","title":{"rendered":"R&#39;de aic nas\u0131l hesaplan\u0131r (\u00f6rnekler dahil)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Akaike Bilgi Kriteri (AIC), \u00e7oklu regresyon modellerinin uyumunu kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131lan bir \u00f6l\u00e7\u00fcmd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">AIC = 2K \u2013 2 <em>ln<\/em> (L)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>K:<\/strong> Model parametrelerinin say\u0131s\u0131. K&#8217;nin varsay\u0131lan de\u011feri 2&#8217;dir, dolay\u0131s\u0131yla yaln\u0131zca bir tahmin de\u011fi\u015fkeni olan bir modelin K de\u011feri 2+1 = 3 olacakt\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><em>ln<\/em> (L)<\/strong> : Modelin log-olas\u0131l\u0131\u011f\u0131. \u00c7o\u011fu istatistik yaz\u0131l\u0131m\u0131 bu de\u011feri sizin i\u00e7in otomatik olarak hesaplayabilir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">AIC, verilerdeki en fazla varyasyonu a\u00e7\u0131klayan modeli bulmak ve a\u015f\u0131r\u0131 say\u0131da parametre kullanan modelleri cezaland\u0131rmak i\u00e7in tasarlanm\u0131\u015ft\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Birden fazla regresyon modelini yerle\u015ftirdikten sonra<\/span> <span style=\"color: #000000;\">her modelin AIC de\u011ferini kar\u015f\u0131la\u015ft\u0131rabilirsiniz. AIC ne kadar d\u00fc\u015f\u00fckse model o kadar uygundur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">R&#8217;deki \u00e7oklu regresyon modellerinin AIC&#8217;sini hesaplamak i\u00e7in <strong>AICcmodavg<\/strong> paketindeki <strong>aictab()<\/strong> fonksiyonunu kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, R&#8217;deki \u00e7e\u015fitli regresyon modelleri i\u00e7in AIC&#8217;yi hesaplamak ve yorumlamak amac\u0131yla bu i\u015flevin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: R&#8217;de AIC&#8217;yi hesaplama ve yorumlama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki <strong>mtcars<\/strong> veri k\u00fcmesindeki de\u011fi\u015fkenleri kullanarak \u00fc\u00e7 farkl\u0131 <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">\u00e7oklu do\u011frusal regresyon modelini<\/a> s\u0131\u011fd\u0131rmak istiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her modelde kullanaca\u011f\u0131m\u0131z tahmin de\u011fi\u015fkenleri \u015funlard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Model 1&#8217;deki tahmin de\u011fi\u015fkenleri: disp, hp, wt, qsec<\/span><\/li>\n<li> <span style=\"color: #000000;\">Model 2&#8217;deki tahmin de\u011fi\u015fkenleri: disp, qsec<\/span><\/li>\n<li> <span style=\"color: #000000;\">Model 3&#8217;teki tahmin de\u011fi\u015fkenleri: disp, wt<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bu regresyon modellerinin her birine nas\u0131l uyulaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#fit three models\n<\/span>model1 &lt;- lm(mpg ~ disp + hp + wt + qsec, data = mtcars)\nmodel2 &lt;- lm(mpg ~ disp + qsec, data = mtcars)\nmodel3 &lt;- lm(mpg ~ disp + wt, data = mtcars)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Daha sonra modelleri bir listeye koyaca\u011f\u0131z ve her modelin AIC&#8217;sini hesaplamak i\u00e7in <strong>aictab()<\/strong> i\u015flevini kullanaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\"><span style=\"color: #000000;\"><span style=\"color: #993300;\">library<\/span> (AICcmodavg)<\/span>\n\n#define list of models\n<\/span>models &lt;- list(model1, model2, model3)\n\n<span style=\"color: #008080;\">#specify model names\n<\/span>mod.names &lt;- c('disp.hp.wt.qsec', 'disp.qsec', 'disp.wt')\n\n<span style=\"color: #008080;\">#calculate AIC of each model\n<\/span>aictab(cand.set = models, modnames = mod.names)\n\nModel selection based on AICc:\n\n                K AICc Delta_AICc AICcWt Cum.Wt LL\ndisp.hp.wt.qsec 6 162.43 0.00 0.83 0.83 -73.53\navailable wt 4 165.65 3.22 0.17 1.00 -78.08\ndisp.qsec 4 173.32 10.89 0.00 1.00 -81.92\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Sonucun nas\u0131l yorumlanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><b>K:<\/b> Modeldeki parametre say\u0131s\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>AICc:<\/strong> Modelin AIC de\u011feri. K\u00fc\u00e7\u00fck \u201cc\u201d harfi, AIC&#8217;nin k\u00fc\u00e7\u00fck numuneler i\u00e7in d\u00fczeltilmi\u015f AIC&#8217;den hesapland\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Delta_AICc:<\/strong> En iyi modelin AIC&#8217;si ile kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda mevcut modelin AIC&#8217;si aras\u0131ndaki fark.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>AICcWt:<\/strong> modelde bulunabilecek toplam tahmin g\u00fcc\u00fcn\u00fcn oran\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Cum.Wt<\/strong> : AIC a\u011f\u0131rl\u0131klar\u0131n\u0131n k\u00fcm\u00fclatif toplam\u0131.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>LL:<\/b> Modelin log-olas\u0131l\u0131\u011f\u0131. Bu bize, kulland\u0131\u011f\u0131m\u0131z veriler g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda modelin ne kadar muhtemel oldu\u011funu s\u00f6yler.<\/span><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">En d\u00fc\u015f\u00fck AIC de\u011ferine sahip model her zaman ilk s\u0131rada listelenir. Sonu\u00e7tan a\u015fa\u011f\u0131daki modelin en d\u00fc\u015f\u00fck AIC de\u011ferine sahip oldu\u011funu ve dolay\u0131s\u0131yla en uygun model oldu\u011funu g\u00f6rebiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\">mpg = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (disp) + \u03b2 <sub>2<\/sub> (hp) + \u03b2 <sub>3<\/sub> (a\u011f\u0131rl\u0131k) + \u03b2 <sub>4<\/sub> (qsec)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu modeli en iyi olarak belirledikten sonra, model uyumuna ge\u00e7ebilir ve tahmin de\u011fi\u015fkenleri seti ile <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeni<\/a> aras\u0131ndaki kesin ili\u015fkiyi belirlemek i\u00e7in R-kare de\u011feri ve beta katsay\u0131lar\u0131 dahil sonu\u00e7lar\u0131 analiz edebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rdeki-r-kareler-uyar\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de d\u00fczeltilmi\u015f R-kare nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/r-cinsinden-mor-cp-nasil-hesaplanir\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de Mallows Cp nas\u0131l hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Akaike Bilgi Kriteri (AIC), \u00e7oklu regresyon modellerinin uyumunu kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131lan bir \u00f6l\u00e7\u00fcmd\u00fcr. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: AIC = 2K \u2013 2 ln (L) Alt\u0131n: K: Model parametrelerinin say\u0131s\u0131. K&#8217;nin varsay\u0131lan de\u011feri 2&#8217;dir, dolay\u0131s\u0131yla yaln\u0131zca bir tahmin de\u011fi\u015fkeni olan bir modelin K de\u011feri 2+1 = 3 olacakt\u0131r. ln (L) : Modelin log-olas\u0131l\u0131\u011f\u0131. \u00c7o\u011fu istatistik yaz\u0131l\u0131m\u0131 bu [&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-1750","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 AIC nas\u0131l hesaplan\u0131r (\u00f6rnekler dahil) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;deki bir regresyon modeli i\u00e7in Akaike Bilgi Kriterinin (AIC) nas\u0131l hesaplanaca\u011f\u0131 \u00f6rneklerle 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\/aicden-rye\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de AIC nas\u0131l hesaplan\u0131r (\u00f6rnekler dahil) - 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