{"id":2600,"date":"2023-07-21T13:44:24","date_gmt":"2023-07-21T13:44:24","guid":{"rendered":"https:\/\/statorials.org\/tr\/hava-kilidinde-lojistik-regresyon\/"},"modified":"2023-07-21T13:44:24","modified_gmt":"2023-07-21T13:44:24","slug":"hava-kilidinde-lojistik-regresyon","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/hava-kilidinde-lojistik-regresyon\/","title":{"rendered":"Sas&#39;ta lojistik regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/lojistik-regresyon-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Lojistik regresyon,<\/a> yan\u0131t de\u011fi\u015fkeni ikili oldu\u011funda bir regresyon modeline uymak i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Lojistik regresyon, a\u015fa\u011f\u0131daki formdaki bir denklemi bulmak i\u00e7in <em>maksimum olabilirlik tahmini<\/em> olarak bilinen bir y\u00f6ntemi kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>log[p(X) \/ (1 <sub>&#8211;<\/sub> p(X))] = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> X <sub>1<\/sub> + \u03b2 <sub>2<\/sub> X <sub>2<\/sub> + \u2026 + \u03b2 <sub>p<\/sub><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>X <sub>j<\/sub><\/strong> : <sup>j&#8217;inci<\/sup> tahmin de\u011fi\u015fkeni<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03b2 <sub>j<\/sub><\/strong> : <sup>j&#8217;inci<\/sup> yorday\u0131c\u0131 de\u011fi\u015fkenin katsay\u0131s\u0131n\u0131n tahmini<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Denklemin sa\u011f taraf\u0131ndaki form\u00fcl, yan\u0131t de\u011fi\u015fkeninin 1 de\u011ferini almas\u0131na ili\u015fkin <strong>log olas\u0131l\u0131\u011f\u0131n\u0131<\/strong> tahmin eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki ad\u0131m ad\u0131m \u00f6rnek, SAS&#8217;ta bir lojistik regresyon modelinin nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>1. Ad\u0131m: Veri k\u00fcmesini olu\u015fturun<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle 18 \u00f6\u011frenci i\u00e7in a\u015fa\u011f\u0131daki \u00fc\u00e7 de\u011fi\u015fkene ili\u015fkin bilgileri i\u00e7eren bir veri seti olu\u015fturaca\u011f\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Belirli bir \u00fcniversiteye kabul (1 = evet, 0 = hay\u0131r)<\/span><\/li>\n<li> <span style=\"color: #000000;\">GPA (1&#8217;den 4&#8217;e kadar \u00f6l\u00e7ek)<\/span><\/li>\n<li> <span style=\"color: #000000;\">ACT puan\u0131 (1&#8217;den 36&#8217;ya kadar \u00f6l\u00e7ek)<\/span> <\/li>\n<\/ul>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*create dataset*\/\n<\/span><span style=\"color: #800080;\">data<\/span> my_data;\n    <span style=\"color: #3366ff;\">input<\/span> acceptance gpa act;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\n1 3 30\n0 1 21\n0 2 26\n0 1 24\n1 3 29\n1 3 34\n0 3 31\n1 2 29\n0 1 21\n1 2 21\n0 1 15\n1 3 32\n1 4 31\n1 4 29\n0 1 24\n1 4 29\n1 3 21\n1 4 34\n;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*view dataset*\/\n<\/span><span style=\"color: #800080;\">proc print<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22971 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/journalsas1.jpg\" alt=\"\" width=\"196\" height=\"439\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Lojistik regresyon modelini yerle\u015ftirin<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Daha sonra, yan\u0131t de\u011fi\u015fkeni olarak &#8220;kabul&#8221;\u00fc ve yorday\u0131c\u0131 de\u011fi\u015fkenler olarak &#8220;gpa&#8221; ve &#8220;hareket&#8221;i kullanarak lojistik regresyon modeline uyacak \u015fekilde <strong>proc lojisti\u011fini<\/strong> kullanaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : SAS&#8217;\u0131n yan\u0131t de\u011fi\u015fkeninin 1 de\u011ferini alma olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmesi i\u00e7in <strong>azalman\u0131n belirtilmesi<\/strong> gerekir. SAS, varsay\u0131lan olarak yan\u0131t de\u011fi\u015fkeninin 0 de\u011ferini alma olas\u0131l\u0131\u011f\u0131n\u0131 tahmin eder.<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">\/*fit logistic regression model*\/\n<\/span><span style=\"color: #800080;\">proc logistic<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data <span style=\"color: #3366ff;\">descending<\/span> ;\n  <span style=\"color: #3366ff;\">model<\/span> acceptance = gpa act;\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/span>\n<\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22972 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/logsas2.jpg\" alt=\"\" width=\"434\" height=\"563\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130lk ilgi \u00e7ekici tablo <strong>Model Uyum \u0130statistikleri<\/strong> ba\u015fl\u0131\u011f\u0131n\u0131 ta\u015f\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu tablodan modelin <strong>16.595<\/strong> olarak \u00e7\u0131kan AIC de\u011ferini g\u00f6rebiliyoruz. AIC de\u011feri ne kadar d\u00fc\u015f\u00fck olursa model verilere o kadar iyi uyum sa\u011flayabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak <a href=\"https:\/\/statorials.org\/tr\" target=\"_blank\" rel=\"noopener\">&#8220;iyi&#8221; AIC de\u011feri<\/a> olarak kabul edilen de\u011fer i\u00e7in bir e\u015fik yoktur. Bunun yerine, birden fazla modelin uyumunu ayn\u0131 veri k\u00fcmesiyle kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in AIC&#8217;yi kullan\u0131r\u0131z. En d\u00fc\u015f\u00fck AIC de\u011ferine sahip model genellikle en iyi model olarak kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir sonraki ilgi \u00e7ekici tablo <strong>K\u00fcresel S\u0131f\u0131r Hipotezinin Test Edilmesi: BETA=0<\/strong> ba\u015fl\u0131\u011f\u0131n\u0131 ta\u015f\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu tablodan, <strong>13,4620&#8217;lik<\/strong> olabilirlik oran\u0131 ki-kare de\u011ferini ve buna kar\u015f\u0131l\u0131k gelen <strong>0,0012<\/strong> p-de\u011ferini g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan bu bize lojistik regresyon modelinin bir b\u00fct\u00fcn olarak istatistiksel olarak anlaml\u0131 oldu\u011funu s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra <strong>Maksimum Olabilirlik Tahminlerinin<\/strong> Analizi ba\u015fl\u0131kl\u0131 tabloda katsay\u0131 tahminlerini analiz edebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu tablodan, her de\u011fi\u015fkendeki bir birimlik art\u0131\u015f i\u00e7in \u00fcniversiteye kabul edilmenin log oranlar\u0131ndaki ortalama de\u011fi\u015fimi g\u00f6steren gpa ve act katsay\u0131lar\u0131n\u0131 g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">GPA de\u011ferindeki bir birimlik art\u0131\u015f, \u00fcniversiteye kabul edilme log ihtimalinin ortalama <strong>2,9665<\/strong> artmas\u0131yla ili\u015fkilidir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">ACT puan\u0131ndaki bir birimlik art\u0131\u015f, \u00fcniversiteye kabul edilmenin log ihtimalinde ortalama <strong>0,1145&#8217;lik<\/strong> bir <em>d\u00fc\u015f\u00fc\u015fle<\/em> ili\u015fkilidir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Sonu\u00e7ta kar\u015f\u0131l\u0131k gelen p de\u011ferleri de bize her bir yorday\u0131c\u0131 de\u011fi\u015fkenin kabul edilme olas\u0131l\u0131\u011f\u0131n\u0131 tahmin etmede ne kadar etkili oldu\u011funa dair bir fikir verir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">GPA P de\u011feri: <strong>0,0679<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">ACT P de\u011feri: <strong>0,6289<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu bize GPA&#8217;n\u0131n \u00fcniversiteye kabul\u00fcn istatistiksel olarak anlaml\u0131 bir g\u00f6stergesi oldu\u011funu, ACT puan\u0131n\u0131n ise istatistiksel olarak anlaml\u0131 g\u00f6r\u00fcnmedi\u011fini s\u00f6yl\u00fcyor.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde di\u011fer regresyon modellerinin SAS&#8217;a nas\u0131l s\u0131\u011fd\u0131r\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/sasta-basit-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta basit do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/sasta-coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta \u00e7oklu do\u011frusal regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Lojistik regresyon, yan\u0131t de\u011fi\u015fkeni ikili oldu\u011funda bir regresyon modeline uymak i\u00e7in kullanabilece\u011fimiz bir y\u00f6ntemdir. Lojistik regresyon, a\u015fa\u011f\u0131daki formdaki bir denklemi bulmak i\u00e7in maksimum olabilirlik tahmini olarak bilinen bir y\u00f6ntemi kullan\u0131r: log[p(X) \/ (1 &#8211; p(X))] = \u03b2 0 + \u03b2 1 X 1 + \u03b2 2 X 2 + \u2026 + \u03b2 p Alt\u0131n: X [&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-2600","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>SAS \u2013 Statorialsde Lojistik Regresyon Nas\u0131l Ger\u00e7ekle\u015ftirilir<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, SAS&#039;ta lojistik regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi ad\u0131m ad\u0131m bir \u00f6rnekle 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