{"id":1748,"date":"2023-07-25T03:48:28","date_gmt":"2023-07-25T03:48:28","guid":{"rendered":"https:\/\/statorials.org\/tr\/mor-cp\/"},"modified":"2023-07-25T03:48:28","modified_gmt":"2023-07-25T03:48:28","slug":"mor-cp","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/mor-cp\/","title":{"rendered":"Ebeg\u00fcmeci nedir? cp mi? (tan\u0131m ve \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Mallows Cp,<\/strong> birka\u00e7 farkl\u0131 model aras\u0131ndan en iyi <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">regresyon modelini<\/a> se\u00e7mek i\u00e7in kullan\u0131lan bir metriktir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Cp = RSS <sub>p<\/sub> \/S <sup>2<\/sup> \u2013 N + 2(P+1)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>RSS <sub>p<\/sub><\/strong> : <em>p<\/em> tahmin de\u011fi\u015fkenine sahip bir model i\u00e7in kalan kareler toplam\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>S <sup>2<\/sup><\/strong> : Modelin art\u0131k ortalama karesi (MSE taraf\u0131ndan tahmin edilmi\u015ftir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> \u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>P:<\/strong> Tahmin de\u011fi\u015fkenlerinin say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Mallows Cp, bir regresyon modelinde kullanmak istedi\u011fimiz birka\u00e7 potansiyel \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenimiz oldu\u011funda ve bu yorday\u0131c\u0131 de\u011fi\u015fkenlerin bir alt k\u00fcmesini kullanan en iyi modeli belirlemek istedi\u011fimizde kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">P+1&#8217;den k\u00fc\u00e7\u00fck en d\u00fc\u015f\u00fck Cp de\u011ferine sahip modeli tan\u0131mlayarak &#8220;en iyi&#8221; regresyon modelini belirleyebiliriz; burada P, modeldeki yorday\u0131c\u0131 de\u011fi\u015fkenlerin say\u0131s\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, \u00e7e\u015fitli potansiyel modellerden en iyi regresyon modelini se\u00e7mek i\u00e7in Mallows&#8217; Cp&#8217;nin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: En iyi modeli se\u00e7mek i\u00e7in Mallows Cp&#8217;yi kullanma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir profes\u00f6r\u00fcn, bir \u00f6\u011frencinin final s\u0131nav\u0131nda alaca\u011f\u0131 notu tahmin etmek i\u00e7in bir regresyon modelinde tahmin de\u011fi\u015fkenleri olarak \u00e7al\u0131\u015f\u0131lan saatleri, girilen haz\u0131rl\u0131k s\u0131navlar\u0131n\u0131 ve mevcut k\u00fcm\u00fclatif not ortalamas\u0131n\u0131 kullanmak istedi\u011fini varsayar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yedi farkl\u0131 regresyon modeline uyar ve her model i\u00e7in Mallows Cp de\u011ferini hesaplar:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17144\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mauve1.png\" alt=\"En iyi regresyon modelini se\u00e7mek i\u00e7in Mallows Cp'yi kullanma\" width=\"350\" height=\"250\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Mallows&#8217; Cp de\u011feri model katsay\u0131lar\u0131n\u0131n say\u0131s\u0131ndan (P+1) k\u00fc\u00e7\u00fckse modelin tarafs\u0131z oldu\u011fu s\u00f6ylenir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki tarafs\u0131z modelin oldu\u011funu g\u00f6rebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Saat ve GPA&#8217;n\u0131n yorday\u0131c\u0131 de\u011fi\u015fkenler oldu\u011fu model (Mallows&#8217; Cp = 2,9, P+1 = 3)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Haz\u0131rl\u0131k S\u0131navlar\u0131 ve Genel Not Ortalamas\u0131n\u0131n yorday\u0131c\u0131 de\u011fi\u015fken oldu\u011fu model (Mallows&#8217; Cp = 2,7, P+1 = 3)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu iki modelden haz\u0131rl\u0131k s\u0131navlar\u0131 ve genel not ortalamas\u0131n\u0131 yorday\u0131c\u0131 de\u011fi\u015fken olarak kullanan model, Mallows&#8217; Cp a\u00e7\u0131s\u0131ndan en d\u00fc\u015f\u00fck de\u011fere sahiptir, bu da bize en az yanl\u0131l\u0131kla sonu\u00e7lanan daha iyi model oldu\u011funu s\u00f6yler.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Cp des mauves \u00fczerine notlar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Mallows Cp hakk\u0131nda ak\u0131lda tutulmas\u0131 gereken baz\u0131 \u015feyler \u015funlard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Mallows Cp de\u011feri P+1&#8217;e yak\u0131n olan modellerin d\u00fc\u015f\u00fck sapmaya sahip oldu\u011fu s\u00f6ylenir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Her potansiyel modelin Mallows Cp de\u011feri y\u00fcksekse bu, baz\u0131 \u00f6nemli yorday\u0131c\u0131 de\u011fi\u015fkenlerin muhtemelen her modelde eksik oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Birka\u00e7 potansiyel modelin Mallow&#8217;s Cp de\u011feri d\u00fc\u015f\u00fckse, kullan\u0131lacak en iyi model olarak en d\u00fc\u015f\u00fck de\u011fere sahip modeli se\u00e7in.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ayr\u0131ca Mallows&#8217; Cp&#8217;nin bir regresyon modelinin uyum iyili\u011fini \u00f6l\u00e7menin yaln\u0131zca bir yolu oldu\u011funu unutmay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yayg\u0131n olarak kullan\u0131lan bir di\u011fer \u00f6l\u00e7\u00fc, kullan\u0131lan yorday\u0131c\u0131 de\u011fi\u015fkenlerin say\u0131s\u0131na g\u00f6re ayarlanan, modeldeki yorday\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t<\/a> de\u011fi\u015fkenindeki varyans\u0131n oran\u0131n\u0131 bize s\u00f6yleyen d\u00fczeltilmi\u015f R-karedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Birka\u00e7 farkl\u0131 modelden olu\u015fan listeden hangi regresyon modelinin en iyi oldu\u011funa karar vermek i\u00e7in hem Mallows Cp&#8217;ye hem de d\u00fczeltilmi\u015f R-kare&#8217;ye bakmak iyi bir fikirdir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <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><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><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Mallows Cp, birka\u00e7 farkl\u0131 model aras\u0131ndan en iyi regresyon modelini se\u00e7mek i\u00e7in kullan\u0131lan bir metriktir. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: Cp = RSS p \/S 2 \u2013 N + 2(P+1) Alt\u0131n: RSS p : p tahmin de\u011fi\u015fkenine sahip bir model i\u00e7in kalan kareler toplam\u0131 S 2 : Modelin art\u0131k ortalama karesi (MSE taraf\u0131ndan tahmin edilmi\u015ftir) N: \u00d6rneklem [&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-1748","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>Ebeg\u00fcmeci Cp nedir? 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