{"id":1751,"date":"2023-07-25T03:30:46","date_gmt":"2023-07-25T03:30:46","guid":{"rendered":"https:\/\/statorials.org\/tr\/pythonda-aic\/"},"modified":"2023-07-25T03:30:46","modified_gmt":"2023-07-25T03:30:46","slug":"pythonda-aic","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/pythonda-aic\/","title":{"rendered":"Python&#39;da regresyon modellerinin aic&#39;si nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Akaike Bilgi Kriteri (AIC), farkl\u0131 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. Bu bize veriler g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda modelin olas\u0131l\u0131\u011f\u0131n\u0131 s\u00f6yler.<\/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. En d\u00fc\u015f\u00fck AIC de\u011ferine sahip model en iyi uyumu sa\u011flar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Python&#8217;da \u00e7oklu regresyon modellerinin AIC&#8217;sini hesaplamak i\u00e7in, bize belirli bir model i\u00e7in AIC de\u011ferini s\u00f6yleyen <strong>aic<\/strong> adl\u0131 bir \u00f6zelli\u011fe sahip olan <strong>statsmodels.regression.linear_model.OLS()<\/strong> fonksiyonunu kullanabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, Python&#8217;daki \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: Python&#8217;da AIC&#8217;yi hesaplamak ve yorumlamak<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki <strong>mtcars<\/strong> veri k\u00fcmesindeki de\u011fi\u015fkenleri kullanarak iki farkl\u0131 <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">\u00e7oklu do\u011frusal regresyon modelini<\/a> uydurmak istiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk olarak bu veri k\u00fcmesini y\u00fckleyece\u011fiz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">from<\/span> sklearn. <span style=\"color: #3366ff;\">linear_model<\/span> <span style=\"color: #008000;\">import<\/span> LinearRegression\n<span style=\"color: #008000;\">import<\/span> statsmodels. <span style=\"color: #3366ff;\">api<\/span> <span style=\"color: #008000;\">as<\/span> sm\n<span style=\"color: #008000;\">import<\/span> pandas <span style=\"color: #008000;\">as<\/span> pd\n\n<span style=\"color: #008080;\">#define URL where dataset is located\n<\/span>url = \"https:\/\/raw.githubusercontent.com\/Statorials\/Python-Guides\/main\/mtcars.csv\"\n\n<span style=\"color: #008080;\">#read in data\n<\/span>data = pd. <span style=\"color: #3366ff;\">read_csv<\/span> (url)\n\n<span style=\"color: #008080;\">#view head of data\n<\/span>data. <span style=\"color: #3366ff;\">head<\/span> ()\n\n        model mpg cyl disp hp drat wt qsec vs am gear carb\n0 Mazda RX4 21.0 6 160.0 110 3.90 2.620 16.46 0 1 4 4\n1 Mazda RX4 Wag 21.0 6 160.0 110 3.90 2.875 17.02 0 1 4 4\n2 Datsun 710 22.8 4 108.0 93 3.85 2.320 18.61 1 1 4 1\n3 Hornet 4 Drive 21.4 6 258.0 110 3.08 3.215 19.44 1 0 3 1\n4 Hornet Sportabout 18.7 8 360.0 175 3.15 3.440 17.02 0 0 3 2\n<\/strong><\/pre>\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<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, ilk modelin nas\u0131l yerle\u015ftirilece\u011fini ve AIC&#8217;nin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#define response variable\n<\/span>y = data['mpg']\n\n<span style=\"color: #008080;\">#define predictor variables\n<\/span>x = data[['disp', 'hp', 'wt', 'qsec']]\n\n<span style=\"color: #008080;\">#add constant to predictor variables\n<\/span>x = sm. <span style=\"color: #3366ff;\">add_constant<\/span> (x)\n\n<span style=\"color: #008080;\">#fit regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()\n\n<span style=\"color: #008080;\">#view AIC of model\n<\/span><span style=\"color: #993300;\">print<\/span> (model. <span style=\"color: #3366ff;\">aic<\/span> )\n\n157.06960941462438<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Bu modelin AIC&#8217;si <strong>157.07<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra ikinci modeli yerle\u015ftirip AIC&#8217;yi hesaplayaca\u011f\u0131z:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008080;\">#define response variable\n<\/span>y = data['mpg']\n\n<span style=\"color: #008080;\">#define predictor variables\n<\/span>x = data[['disp', 'qsec']]\n\n<span style=\"color: #008080;\">#add constant to predictor variables\n<\/span>x = sm. <span style=\"color: #3366ff;\">add_constant<\/span> (x)\n\n<span style=\"color: #008080;\">#fit regression model\n<\/span>model = sm. <span style=\"color: #3366ff;\">OLS<\/span> (y,x). <span style=\"color: #3366ff;\">fit<\/span> ()\n\n<span style=\"color: #008080;\">#view AIC of model\n<\/span><span style=\"color: #993300;\">print<\/span> (model. <span style=\"color: #3366ff;\">aic<\/span> )\n\n169.84184864154588<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Bu modelin AIC&#8217;si <strong>169,84<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk model daha d\u00fc\u015f\u00fck AIC de\u011ferine sahip oldu\u011fundan en uygun modeldir.<\/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\/dogrusal-regresyon-pitonu\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Do\u011frusal Regresyon \u0130\u00e7in Tam Bir K\u0131lavuz<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pythonda-r-karesi-ayarlanir\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da d\u00fczeltilmi\u015f R-kare nas\u0131l hesaplan\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Akaike Bilgi Kriteri (AIC), farkl\u0131 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. Bu bize veriler g\u00f6z [&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-1751","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>Python&#039;da regresyon modellerinin AIC&#039;si nas\u0131l hesaplan\u0131r<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da regresyon modellerinin Akaike Bilgi Kriteri (AIC) de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131 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\/pythonda-aic\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da regresyon modellerinin AIC&#039;si nas\u0131l hesaplan\u0131r\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde Python&#039;da regresyon modellerinin Akaike Bilgi Kriteri (AIC) de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/pythonda-aic\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T03:30:46+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=\"3 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-aic\/\",\"url\":\"https:\/\/statorials.org\/tr\/pythonda-aic\/\",\"name\":\"Python&#39;da regresyon modellerinin AIC&#39;si nas\u0131l hesaplan\u0131r\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-25T03:30:46+00:00\",\"dateModified\":\"2023-07-25T03:30:46+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde Python&#39;da regresyon modellerinin Akaike Bilgi Kriteri (AIC) de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-aic\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/pythonda-aic\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/pythonda-aic\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da regresyon modellerinin aic&#39;si 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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