{"id":4524,"date":"2023-07-10T10:18:26","date_gmt":"2023-07-10T10:18:26","guid":{"rendered":"https:\/\/statorials.org\/tr\/hava-kilidinde-bos-test\/"},"modified":"2023-07-10T10:18:26","modified_gmt":"2023-07-10T10:18:26","slug":"hava-kilidinde-bos-test","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/hava-kilidinde-bos-test\/","title":{"rendered":"White&#39;\u0131n testi sas&#39;ta nas\u0131l ger\u00e7ekle\u015ftirilir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>White testi,<\/strong> bir regresyon modelinde <a href=\"https:\/\/statorials.org\/tr\/degisen-varyans-regresyonu\/\" target=\"_blank\" rel=\"noopener\">de\u011fi\u015fen varyans\u0131n<\/a> mevcut olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">De\u011fi\u015fken varyans, bir regresyon modelinde bir <a href=\"https:\/\/statorials.org\/tr\/degiskenleri-aciklayici-yanitlar\/\" target=\"_blank\" rel=\"noopener\">yan\u0131t de\u011fi\u015fkeninin<\/a> farkl\u0131 seviyelerindeki <a href=\"https:\/\/statorials.org\/tr\/kalinti\/\" target=\"_blank\" rel=\"noopener\">art\u0131klar\u0131n<\/a> e\u015fit olmayan da\u011f\u0131l\u0131m\u0131n\u0131 ifade eder; bu,<a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-varsayimlari\/\" target=\"_blank\" rel=\"noopener\">do\u011frusal regresyonun, art\u0131klar\u0131n yan\u0131t de\u011fi\u015fkeninin her d\u00fczeyinde e\u015fit \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131 y\u00f6n\u00fcndeki temel varsay\u0131mlar\u0131ndan<\/a> birini ihlal eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde, belirli bir regresyon modelinde heteroskedastisitenin bir sorun olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in SAS&#8217;ta White testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h2> <strong>\u00d6rnek: SAS&#8217;ta beyaz testi<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">\u00d6\u011frencilerin final s\u0131nav\u0131 notunu tahmin etmek i\u00e7in ders \u00e7al\u0131\u015fmak i\u00e7in harcanan saat say\u0131s\u0131n\u0131 ve al\u0131nan uygulama s\u0131navlar\u0131n\u0131n say\u0131s\u0131n\u0131 kullanan \u00e7oklu do\u011frusal regresyon modelini uyarlamak istedi\u011fimizi varsayal\u0131m:<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131nav puan\u0131 = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (saat) + \u03b2 <sub>2<\/sub> (haz\u0131rl\u0131k s\u0131navlar\u0131)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle 20 \u00f6\u011frenciye y\u00f6nelik bu bilgileri i\u00e7eren bir veri seti olu\u015fturmak i\u00e7in a\u015fa\u011f\u0131daki kodu kullanaca\u011f\u0131z:<\/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> exam_data;\n    <span style=\"color: #3366ff;\">input<\/span> hours prep_exams score;\n    <span style=\"color: #3366ff;\">datalines<\/span> ;\n1 1 76\n2 3 78\n2 3 85\n4 5 88\n2 2 72\n1 2 69\n5 1 94\n4 1 94\n2 0 88\n4 3 92\n4 4 90\n3 3 75\n6 2 90\n5 4 90\n3 4 82\n4 4 85\n6 5 90\n2 1 83\n1 0 62\n2 1 76\n;\n<span style=\"color: #800080;\">run<\/span> ;\n\n<span style=\"color: #008000;\">\/*view dataset*\/<\/span>\n<span style=\"color: #800080;\">proc print<\/span> <span style=\"color: #3366ff;\">data<\/span> =exam_data;<\/strong> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-35323 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bpsas1.png\" alt=\"\" width=\"246\" height=\"511\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, bu \u00e7oklu do\u011frusal regresyon modeline uyum sa\u011flamak i\u00e7in <strong>proc reg&#8217;in<\/strong> yan\u0131 s\u0131ra White&#8217;\u0131n de\u011fi\u015fen varyans testini ger\u00e7ekle\u015ftirmek i\u00e7in <b>spec<\/b> se\u00e7ene\u011fini kullanaca\u011f\u0131z:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">\/*fit regression model and perform White's test*\/\n<\/span><span style=\"color: #800080;\">proc reg<\/span> <span style=\"color: #3366ff;\">data<\/span> =exam_data;\n    <span style=\"color: #3366ff;\">model<\/span> score = hours prep_exams \/ <span style=\"color: #3366ff;\">spec<\/span> ;\n<span style=\"color: #800080;\">run<\/span> ;\n<span style=\"color: #800080;\">quit<\/span> ;<\/strong><\/span> <\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-35339\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ws1.png\" alt=\"SAS'ta beyaz test\" width=\"448\" height=\"740\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Son sonu\u00e7 tablosu White&#8217;\u0131n testinin sonu\u00e7lar\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu tablodan Ki-kare test istatisti\u011finin <b>3,54<\/b> ve buna kar\u015f\u0131l\u0131k gelen p de\u011ferinin <strong>0,6175<\/strong> oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">White testi a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Bo\u015f (H <sub>0<\/sub> )<\/strong> : De\u011fi\u015fken varyans mevcut de\u011fil.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Alternatif ( <sub>HA<\/sub> ):<\/strong> De\u011fi\u015fken varyans mevcut.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">P de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddedemiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, regresyon modelinde de\u011fi\u015fen varyans\u0131n mevcut oldu\u011funu iddia etmek i\u00e7in yeterli kan\u0131ta sahip olmad\u0131\u011f\u0131m\u0131z anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle regresyon \u00f6zet tablosundaki katsay\u0131 tahminlerinin standart hatalar\u0131n\u0131 g\u00fcvenli bir \u015fekilde yorumlamak m\u00fcmk\u00fcnd\u00fcr.<\/span><\/p>\n<h2> <strong>Sonra ne yapaca\u011f\u0131z<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">White testinin s\u0131f\u0131r hipotezini reddetmeyi ba\u015faramazsan\u0131z, o zaman de\u011fi\u015fen varyans mevcut de\u011fildir ve orijinal regresyonun sonucunu yorumlamaya devam edebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak s\u0131f\u0131r hipotezini reddederseniz bu, verilerde heteroskedastisitenin mevcut oldu\u011fu anlam\u0131na gelir. Bu durumda regresyon \u00e7\u0131kt\u0131 tablosunda g\u00f6r\u00fcnt\u00fclenen standart hatalar g\u00fcvenilir olmayabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu sorunu \u00e7\u00f6zmenin birka\u00e7 yayg\u0131n yolu vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Yan\u0131t de\u011fi\u015fkenini d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/strong> Yan\u0131t de\u011fi\u015fkeni \u00fczerinde bir d\u00f6n\u00fc\u015f\u00fcm ger\u00e7ekle\u015ftirmeyi deneyebilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, orijinal yan\u0131t de\u011fi\u015fkeni yerine g\u00fcnl\u00fck yan\u0131t de\u011fi\u015fkenini kullanabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak<\/span> <span style=\"color: #000000;\">yan\u0131t de\u011fi\u015fkeninin logunun al\u0131nmas\u0131, de\u011fi\u015fen varyans\u0131n ortadan kald\u0131r\u0131lmas\u0131n\u0131n etkili bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Di\u011fer bir yayg\u0131n d\u00f6n\u00fc\u015f\u00fcm, yan\u0131t de\u011fi\u015fkeninin karek\u00f6k\u00fcn\u00fcn kullan\u0131lmas\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. A\u011f\u0131rl\u0131kl\u0131 regresyon kullan\u0131n.<\/strong> Bu regresyon t\u00fcr\u00fc, her veri noktas\u0131na, uydurulan de\u011ferin varyans\u0131na ba\u011fl\u0131 olarak bir a\u011f\u0131rl\u0131k atar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, daha y\u00fcksek varyansa sahip veri noktalar\u0131na k\u00fc\u00e7\u00fck a\u011f\u0131rl\u0131klar vererek bunlar\u0131n kalan karelerini azalt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Uygun a\u011f\u0131rl\u0131klar kullan\u0131ld\u0131\u011f\u0131nda de\u011fi\u015fen varyans sorunu ortadan kald\u0131r\u0131labilir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>White testi, bir regresyon modelinde de\u011fi\u015fen varyans\u0131n mevcut olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131l\u0131r. De\u011fi\u015fken varyans, bir regresyon modelinde bir yan\u0131t de\u011fi\u015fkeninin farkl\u0131 seviyelerindeki art\u0131klar\u0131n e\u015fit olmayan da\u011f\u0131l\u0131m\u0131n\u0131 ifade eder; bu,do\u011frusal regresyonun, art\u0131klar\u0131n yan\u0131t de\u011fi\u015fkeninin her d\u00fczeyinde e\u015fit \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131 y\u00f6n\u00fcndeki temel varsay\u0131mlar\u0131ndan birini ihlal eder. Bu e\u011fitimde, belirli bir regresyon modelinde heteroskedastisitenin bir sorun olup [&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-4524","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 White Testi Nas\u0131l Yap\u0131l\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde White&#039;\u0131n de\u011fi\u015fen varyans testinin SAS&#039;ta 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\/hava-kilidinde-bos-test\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"SAS&#039;ta White Testi Nas\u0131l Yap\u0131l\u0131r - 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