{"id":2137,"date":"2023-07-23T13:13:30","date_gmt":"2023-07-23T13:13:30","guid":{"rendered":"https:\/\/statorials.org\/tr\/gunluk-olasiligini-yorumla\/"},"modified":"2023-07-23T13:13:30","modified_gmt":"2023-07-23T13:13:30","slug":"gunluk-olasiligini-yorumla","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/gunluk-olasiligini-yorumla\/","title":{"rendered":"Log-olabilirlik de\u011ferleri nas\u0131l yorumlan\u0131r (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Bir regresyon modelinin <strong>log olabilirlik de\u011feri,<\/strong> bir modelin uyum iyili\u011fini \u00f6l\u00e7menin bir yoludur. Log-olabilirlik de\u011feri ne kadar y\u00fcksek olursa, model bir veri k\u00fcmesine o kadar iyi uyum sa\u011flar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Belirli bir model i\u00e7in log olas\u0131l\u0131\u011f\u0131n\u0131n de\u011feri, negatif sonsuzdan pozitif sonsuza kadar de\u011fi\u015febilir. Belirli bir model i\u00e7in ger\u00e7ek log olabilirlik de\u011feri genellikle anlams\u0131zd\u0131r ancak <strong>iki veya daha fazla modelin kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131nda faydal\u0131d\u0131r<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uygulamada, \u00e7o\u011fu zaman bir veri setine birden fazla regresyon modeli yerle\u015ftiririz ve verilere en iyi uyan model olarak en y\u00fcksek log-olabilirlik de\u011ferine sahip modeli se\u00e7eriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, farkl\u0131 regresyon modelleri i\u00e7in log-olabilirlik de\u011ferlerinin pratikte nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Log-olabilirlik de\u011ferlerini yorumlama<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir mahalledeki 20 farkl\u0131 evin yatak odas\u0131 say\u0131s\u0131n\u0131, banyo say\u0131s\u0131n\u0131 ve sat\u0131\u015f fiyatlar\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19825 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/loglik1.png\" alt=\"\" width=\"274\" height=\"480\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki iki regresyon modelini uydurmak ve hangisinin verilere en iyi uyumu sa\u011flad\u0131\u011f\u0131n\u0131 belirlemek istedi\u011fimizi varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Model 1<\/strong> : Fiyat = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (oda say\u0131s\u0131)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Model 2<\/strong> : Fiyat = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (banyo say\u0131s\u0131)<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, her regresyon modelinin nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 ve R&#8217;deki her modelin log-olabilirlik de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define data\n<\/span>df &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (beds=c(1, 1, 1, 2, 2, 2, 2, 3, 3, 3,\n                        3, 3, 3, 3, 4, 4, 4, 5, 5, 6),\n                 baths=c(2, 1, 4, 3, 2, 2, 3, 5, 4, 3,\n                         4, 4, 3, 4, 2, 4, 3, 5, 6, 7),\n                 price=c(120, 133, 139, 185, 148, 160, 192, 205, 244, 213,\n                         236, 280, 275, 273, 312, 311, 304, 415, 396, 488))\n\n<span style=\"color: #008080;\">#fitmodels\n<\/span>model1 &lt;- lm(price~beds, data=df)\nmodel2 &lt;- lm(price~baths, data=df)\n\n<span style=\"color: #008080;\">#calculate log-likelihood value of each model\n<\/span>logLik(model1)\n\n'log Lik.' -91.04219 (df=3)\n\nlogLik(model2)\n\n'log Lik.' -111.7511 (df=3)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u0130lk model, ikinci modelden ( <strong>-111,75<\/strong> ) daha y\u00fcksek bir log olabilirlik de\u011ferine ( <strong>-91,04<\/strong> ) sahiptir; bu, birinci modelin verilere daha iyi uyum sa\u011flad\u0131\u011f\u0131 anlam\u0131na gelir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>G\u00fcnl\u00fck olas\u0131l\u0131k de\u011ferlerini kullanmaya ili\u015fkin \u00f6nlemler<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Log olabilirlik de\u011ferlerini hesaplarken, bir modele ek \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkenler eklemenin, ek yorday\u0131c\u0131 de\u011fi\u015fkenler istatistiksel olarak anlaml\u0131 olmasa bile hemen hemen her zaman log olabilirlik de\u011ferini art\u0131raca\u011f\u0131n\u0131 unutmamak \u00f6nemlidir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, yaln\u0131zca her modelin ayn\u0131 say\u0131da \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkene sahip olmas\u0131 durumunda iki regresyon modeli aras\u0131ndaki log olabilirlik de\u011ferlerini kar\u015f\u0131la\u015ft\u0131rman\u0131z gerekti\u011fi anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Farkl\u0131 say\u0131da \u00f6ng\u00f6r\u00fcc\u00fc de\u011fi\u015fkene sahip modelleri kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in, iki i\u00e7 i\u00e7e regresyon modelinin uyum iyili\u011fini kar\u015f\u0131la\u015ft\u0131rmak amac\u0131yla bir <a href=\"https:\/\/statorials.org\/tr\/rde-olabilirlik-orani-testi\/\" target=\"_blank\" rel=\"noopener\">olabilirlik oran\u0131 testi<\/a> ger\u00e7ekle\u015ftirebilirsiniz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/rde-lm-islevi\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de do\u011frusal modelleri s\u0131\u011fd\u0131rmak i\u00e7in lm() i\u015flevi nas\u0131l kullan\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-olabilirlik-orani-testi\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de olabilirlik oran\u0131 testi nas\u0131l yap\u0131l\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bir regresyon modelinin log olabilirlik de\u011feri, bir modelin uyum iyili\u011fini \u00f6l\u00e7menin bir yoludur. Log-olabilirlik de\u011feri ne kadar y\u00fcksek olursa, model bir veri k\u00fcmesine o kadar iyi uyum sa\u011flar. Belirli bir model i\u00e7in log olas\u0131l\u0131\u011f\u0131n\u0131n de\u011feri, negatif sonsuzdan pozitif sonsuza kadar de\u011fi\u015febilir. Belirli bir model i\u00e7in ger\u00e7ek log olabilirlik de\u011feri genellikle anlams\u0131zd\u0131r ancak iki veya daha [&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-2137","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>Log-olabilirlik de\u011ferleri nas\u0131l yorumlan\u0131r (\u00f6rneklerle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, regresyon modelleri i\u00e7in log-olabilirlik de\u011ferlerinin nas\u0131l yorumlanaca\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\/gunluk-olasiligini-yorumla\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Log-olabilirlik de\u011ferleri nas\u0131l yorumlan\u0131r (\u00f6rneklerle) - 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