{"id":2139,"date":"2023-07-23T13:02:12","date_gmt":"2023-07-23T13:02:12","guid":{"rendered":"https:\/\/statorials.org\/tr\/piton-bik\/"},"modified":"2023-07-23T13:02:12","modified_gmt":"2023-07-23T13:02:12","slug":"piton-bik","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/piton-bik\/","title":{"rendered":"Python&#39;da bic nas\u0131l hesaplan\u0131r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Genellikle <strong>BIC<\/strong> olarak k\u0131salt\u0131lan <strong>Bayesian Bilgi Kriteri<\/strong> , farkl\u0131 regresyon modellerinin uyum iyili\u011fini kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131lan bir \u00f6l\u00e7\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uygulamada birden fazla regresyon modelini ayn\u0131 veri setine s\u0131\u011fd\u0131r\u0131yoruz ve verilere en iyi uyan model olarak en d\u00fc\u015f\u00fck BIC de\u011ferine sahip modeli se\u00e7iyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">BIC&#8217;yi hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>BIC:<\/strong> (RSS+log(n)d\u03c3\u0302 <sup>2<\/sup> ) \/ n<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>d:<\/strong> Tahmincilerin say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Toplam g\u00f6zlemler<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03c3\u0302 :<\/strong> Bir regresyon modelinde her yan\u0131t \u00f6l\u00e7\u00fcm\u00fcyle ili\u015fkili hata varyans\u0131n\u0131n tahmini<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>RSS:<\/strong> Regresyon modelinden kalan kareler toplam\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>TSS:<\/strong> Regresyon modelinin karelerinin toplam\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Python&#8217;da \u00e7oklu regresyon modellerinin BIC&#8217;sini hesaplamak i\u00e7in, bize belirli bir model i\u00e7in BIC de\u011ferini s\u00f6yleyen bic 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 BIC&#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 regresyon modellerinin BIC&#8217;sini hesaplama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><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 istedi\u011fimizi varsayal\u0131m.<\/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;\">Daha sonra a\u015fa\u011f\u0131daki iki regresyon modelini uygulayaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Model 1<\/strong> : mpg = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (ekran) + \u03b2 <sub>2<\/sub> (qsec)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Model 2<\/strong> : mpg = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (mevcut) + \u03b2 <sub>2<\/sub> (a\u011f\u0131rl\u0131k)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, ilk modelin nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 ve BIC&#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', '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 BIC of model\n<\/span><span style=\"color: #993300;\">print<\/span> (model. <span style=\"color: #3366ff;\">bic<\/span> )\n\n174.23905634994506<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Bu modelin BIC&#8217;si <strong>174.239<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra ikinci modeli uygulayaca\u011f\u0131z ve BIC&#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', 'wt']]\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 BIC of model\n<\/span><span style=\"color: #993300;\">print<\/span> (model. <span style=\"color: #3366ff;\">bic<\/span> )\n\n166.56499196301334<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\">Bu modelin BIC&#8217;si <strong>166.565<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130kinci modelin BIC de\u011feri daha d\u00fc\u015f\u00fck 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> <span style=\"color: #000000;\">Regresyon modellerinin uyumunu kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in yayg\u0131n olarak kullan\u0131lan di\u011fer iki \u00f6l\u00e7\u00fcm <strong>AIC<\/strong> ve <strong>d\u00fczeltilmi\u015f R-kare&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde Python&#8217;daki regresyon modelleri i\u00e7in bu \u00f6l\u00e7\u00fcmlerin her birinin nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/pythonda-aic\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da regresyon modellerinin AIC&#8217;si nas\u0131l hesaplan\u0131r<\/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>Genellikle BIC olarak k\u0131salt\u0131lan Bayesian Bilgi Kriteri , farkl\u0131 regresyon modellerinin uyum iyili\u011fini kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131lan bir \u00f6l\u00e7\u00fcd\u00fcr. Uygulamada birden fazla regresyon modelini ayn\u0131 veri setine s\u0131\u011fd\u0131r\u0131yoruz ve verilere en iyi uyan model olarak en d\u00fc\u015f\u00fck BIC de\u011ferine sahip modeli se\u00e7iyoruz. BIC&#8217;yi hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z: BIC: (RSS+log(n)d\u03c3\u0302 2 ) \/ n Alt\u0131n: d: [&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-2139","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 BIC nas\u0131l hesaplan\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Python&#039;da regresyon modelleri i\u00e7in BIC de\u011ferlerinin nas\u0131l hesaplanaca\u011f\u0131 \u00e7e\u015fitli \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\/piton-bik\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Python&#039;da BIC nas\u0131l hesaplan\u0131r - Statorials\" \/>\n<meta property=\"og:description\" content=\"Bu e\u011fitimde Python&#039;da regresyon modelleri i\u00e7in BIC de\u011ferlerinin nas\u0131l hesaplanaca\u011f\u0131 \u00e7e\u015fitli \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/piton-bik\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-23T13:02:12+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\/piton-bik\/\",\"url\":\"https:\/\/statorials.org\/tr\/piton-bik\/\",\"name\":\"Python&#39;da BIC nas\u0131l hesaplan\u0131r - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-23T13:02:12+00:00\",\"dateModified\":\"2023-07-23T13:02:12+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu e\u011fitimde Python&#39;da regresyon modelleri i\u00e7in BIC de\u011ferlerinin nas\u0131l hesaplanaca\u011f\u0131 \u00e7e\u015fitli \u00f6rneklerle a\u00e7\u0131klanmaktad\u0131r.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/piton-bik\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/piton-bik\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/piton-bik\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Python&#39;da bic 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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