{"id":4523,"date":"2023-07-10T10:33:42","date_gmt":"2023-07-10T10:33:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/box-coxun-hava-kilidine-donusumu\/"},"modified":"2023-07-10T10:33:42","modified_gmt":"2023-07-10T10:33:42","slug":"box-coxun-hava-kilidine-donusumu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/box-coxun-hava-kilidine-donusumu\/","title":{"rendered":"Sas&#39;ta box-cox d\u00f6n\u00fc\u015f\u00fcm\u00fc nas\u0131l ger\u00e7ekle\u015ftirilir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Box-cox d\u00f6n\u00fc\u015f\u00fcm\u00fc,<\/strong> normal olarak da\u011f\u0131t\u0131lmayan bir veri k\u00fcmesini daha normal olarak da\u011f\u0131t\u0131lan bir k\u00fcmeye d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntemdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu y\u00f6ntemin arkas\u0131ndaki temel fikir, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak d\u00f6n\u00fc\u015ft\u00fcr\u00fclen verinin normal da\u011f\u0131l\u0131ma m\u00fcmk\u00fcn oldu\u011fu kadar yak\u0131n olmas\u0131n\u0131 sa\u011flayacak bir \u03bb de\u011feri bulmakt\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">y(\u03bb) = (y <sup>\u03bb<\/sup> \u2013 1) \/ \u03bb e\u011fer y \u2260 0 ise<\/span><\/li>\n<li> <span style=\"color: #000000;\">y(\u03bb) = log(y) e\u011fer y = 0 ise<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>PROC TRANSREG<\/strong> prosed\u00fcr\u00fcn\u00fc kullanarak SAS&#8217;ta \u03bb i\u00e7in kullan\u0131lacak en uygun de\u011feri belirleyebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekte bu prosed\u00fcr\u00fcn pratikte nas\u0131l kullan\u0131laca\u011f\u0131 g\u00f6sterilmektedir.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>\u00d6rnek: SAS&#8217;ta Box-Cox D\u00f6n\u00fc\u015f\u00fcm\u00fc<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">SAS&#8217;ta a\u015fa\u011f\u0131daki veri setine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/p>\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> xy;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\n7 1\n7 1\n8 1\n3 2\n2 2\n4 2\n4 2\n6 2\n6 2\n7 3\n5 3\n3 3\n3 6\n5 7\n8 8\n;\nrun;\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;<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Bu veri setine basit bir do\u011frusal regresyon modeli uydurmak i\u00e7in <strong>PROC REG<\/strong> kulland\u0131\u011f\u0131m\u0131z\u0131 varsayal\u0131m; <strong>x&#8217;i<\/strong> yorday\u0131c\u0131 de\u011fi\u015fken olarak ve <strong>y&#8217;yi<\/strong> yan\u0131t de\u011fi\u015fkeni olarak kullan\u0131yoruz.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*fit simple linear regression model*\/\n<\/span><span style=\"color: #800080;\">proc reg<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n    <span style=\"color: #3366ff;\">model<\/span> y = x;\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">\u00c7\u0131kt\u0131 te\u015fhis grafiklerinde, art\u0131klar\u0131n modelde yakla\u015f\u0131k olarak normal \u015fekilde da\u011f\u0131l\u0131p da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in <strong>Art\u0131k ve Nicelik grafi\u011fini<\/strong> (orta sat\u0131rda en soldaki grafik) g\u00f6r\u00fcnt\u00fcleyebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35332 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite1.png\" alt=\"\" width=\"612\" height=\"565\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/kalinti\/\" target=\"_blank\" rel=\"noopener\">Art\u0131klar<\/a> yakla\u015f\u0131k olarak grafi\u011fin sa\u011f \u00e7apraz \u00e7izgisi boyunca uzan\u0131yorsa, genellikle art\u0131klar\u0131n normal \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayar\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Grafikten art\u0131klar\u0131n d\u00fcz \u00e7apraz \u00e7izgiyi pek takip etmedi\u011fini g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, regresyon modelindeki yan\u0131t de\u011fi\u015fkeninin muhtemelen normal da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Yan\u0131t de\u011fi\u015fkeni normal \u015fekilde da\u011f\u0131lmad\u0131\u011f\u0131ndan, yan\u0131t de\u011fi\u015fkenini daha normal da\u011f\u0131lacak \u015fekilde d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in kullanabilece\u011fimiz \u03bb de\u011ferini tan\u0131mlamak \u00fczere <strong>PROC TRANSREG&#8217;i<\/strong> kullanabiliriz:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">\/*perform box-cox transformation*\/\n<\/span><span style=\"color: #800080;\">proc transreg<\/span> <span style=\"color: #3366ff;\">data<\/span> =my_data;\n    <span style=\"color: #3366ff;\">model<\/span> <span style=\"color: #3366ff;\">boxcox<\/span> (y) = <span style=\"color: #3366ff;\">identity<\/span> (x);\n<span style=\"color: #800080;\">run<\/span> ;\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-35333\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite2.png\" alt=\"box-cox'un SAS'a d\u00f6n\u00fc\u015f\u00fcm\u00fc\" width=\"653\" height=\"521\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7\u0131k\u0131\u015f bize \u03bb i\u00e7in kullan\u0131lacak se\u00e7ilen de\u011ferin \u2013 <strong>0,5<\/strong> oldu\u011funu s\u00f6yler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">B\u00f6ylece, orijinal yan\u0131t de\u011fi\u015fkeni <strong>y&#8217;yi<\/strong> <strong>y = (y <sup>-0,5<\/sup> \u2013 1) \/ -0,5<\/strong> de\u011fi\u015fkeniyle de\u011fi\u015ftirerek basit bir do\u011frusal regresyon modeli uydurabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod bunun nas\u0131l yap\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">\/*create new dataset that uses box-cox transformation to create new y*\/\n<span style=\"color: #800080;\">data<\/span><\/span> new_data;\n   <span style=\"color: #3366ff;\">set<\/span> my_data;\n   new_y = (y**(-0.5) - 1) \/ -0.5;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*fit simple linear regression model using new response variable*\/\n<\/span><span style=\"color: #800080;\">proc reg<\/span> <span style=\"color: #3366ff;\">data<\/span> =new_data;\n    <span style=\"color: #3366ff;\">model<\/span> new_y = x;\n<span style=\"color: #800080;\">run<\/span> ;<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\"><strong>Kal\u0131nt\u0131 vs.<\/strong> Bu modelin \u00e7\u0131kt\u0131s\u0131n\u0131n <strong>kuantil grafi\u011finde<\/strong> , art\u0131klar\u0131n d\u00fcz \u00e7apraz \u00e7izgiye \u00e7ok daha yak\u0131n oldu\u011funu g\u00f6rebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35334 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/boite3.png\" alt=\"\" width=\"661\" height=\"616\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu, box-cox d\u00f6n\u00fc\u015ft\u00fcr\u00fclm\u00fc\u015f modelin art\u0131klar\u0131n\u0131n \u00e7ok daha normal da\u011f\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6sterir ve bu da <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-varsayimlari\/\" target=\"_blank\" rel=\"noopener noreferrer\">do\u011frusal regresyonun ana varsay\u0131mlar\u0131ndan<\/a> birini kar\u015f\u0131lar.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde SAS&#8217;ta di\u011fer ortak g\u00f6revlerin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/sas-proc-tek-degiskenli-normallik-testi\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta Normallik Testi i\u00e7in Proc Univariate Nas\u0131l Kullan\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kalan-grafik-hava-kilidi\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta Art\u0131k Grafik Nas\u0131l Olu\u015fturulur<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/levenes-testi-sas\/\" target=\"_blank\" rel=\"noopener\">SAS&#8217;ta Levene testi nas\u0131l yap\u0131l\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Box-cox d\u00f6n\u00fc\u015f\u00fcm\u00fc, normal olarak da\u011f\u0131t\u0131lmayan bir veri k\u00fcmesini daha normal olarak da\u011f\u0131t\u0131lan bir k\u00fcmeye d\u00f6n\u00fc\u015ft\u00fcrmek i\u00e7in yayg\u0131n olarak kullan\u0131lan bir y\u00f6ntemdir. Bu y\u00f6ntemin arkas\u0131ndaki temel fikir, a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak d\u00f6n\u00fc\u015ft\u00fcr\u00fclen verinin normal da\u011f\u0131l\u0131ma m\u00fcmk\u00fcn oldu\u011fu kadar yak\u0131n olmas\u0131n\u0131 sa\u011flayacak bir \u03bb de\u011feri bulmakt\u0131r: y(\u03bb) = (y \u03bb \u2013 1) \/ \u03bb e\u011fer y \u2260 0 [&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-4523","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&#039;ta Box-Cox d\u00f6n\u00fc\u015f\u00fcm\u00fc nas\u0131l ger\u00e7ekle\u015ftirilir - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde SAS&#039;ta box-cox d\u00f6n\u00fc\u015f\u00fcm\u00fcn\u00fcn nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi bir \u00f6rnekle 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\/box-coxun-hava-kilidine-donusumu\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"SAS&#039;ta Box-Cox d\u00f6n\u00fc\u015f\u00fcm\u00fc nas\u0131l ger\u00e7ekle\u015ftirilir - 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