{"id":4522,"date":"2023-07-10T10:39:30","date_gmt":"2023-07-10T10:39:30","guid":{"rendered":"https:\/\/statorials.org\/tr\/breusch-pagan-testi-sas\/"},"modified":"2023-07-10T10:39:30","modified_gmt":"2023-07-10T10:39:30","slug":"breusch-pagan-testi-sas","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/breusch-pagan-testi-sas\/","title":{"rendered":"Sas'ta breusch-pagan testi nas\u0131l yap\u0131l\u0131r"},"content":{"rendered":"

<\/p>\n

\n

Bir regresyon analizinde<\/span> de\u011fi\u015fen varyans\u0131n<\/a> mevcut olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Breusch-Pagan testi<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n

Bu e\u011fitimde SAS’ta Breusch-Pagan testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n

\u00d6rnek: SAS’ta Breusch-Pagan testi<\/strong><\/h2>\n

\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

S\u0131nav puan\u0131 = \u03b2 0<\/sub> + \u03b2 1<\/sub> (saat) + \u03b2 2<\/sub> (haz\u0131rl\u0131k s\u0131navlar\u0131)<\/span><\/p>\n

\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

 \/*create dataset*\/\n<\/span>data<\/span> exam_data;\n    input<\/span> hours prep_exams score;\n    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;\nrun<\/span> ;\n\n\/*view dataset*\/<\/span>\nproc print<\/span> data<\/span> =exam_data;<\/strong> <\/pre>\n
\"\"<\/p>\n
 Daha sonra, bu \u00e7oklu do\u011frusal regresyon modeline uymak i\u00e7in proc modelini<\/strong> ve ayr\u0131ca de\u011fi\u015fen varyans i\u00e7in Breusch-Pagan testini ger\u00e7ekle\u015ftirmek i\u00e7in pagan<\/strong> ifadesini kullanaca\u011f\u0131z:<\/span> <\/p>\n
 \/*fit regression model and perform Breusch Pagan test*\/\n<\/span>proc model<\/span> data<\/span> =exam_data;\n    parms<\/span> a1 b1 b2;\n    score = a1 + b1*hours + b2*prep_exams;\n    fit<\/span> score \/ pagan=(1 hours prep_exams)\n    out<\/span> =resid1 outsid<\/span> ;\nrun<\/span> ;\nquit<\/span> ;<\/strong><\/span> <\/pre>\n
\"SAS'ta<\/p>\n
 Son sonu\u00e7 tablosu Breusch-Pagan testinin sonu\u00e7lar\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n
 Bu tablodan test istatisti\u011finin 5,05<\/b> ve kar\u015f\u0131l\u0131k gelen p de\u011ferinin 0,0803<\/strong> oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n
 P de\u011feri 0,05’ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddedemiyoruz.<\/span><\/p>\n
 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
 Bu nedenle regresyon \u00f6zet tablosundaki katsay\u0131 tahminlerinin standart hatalar\u0131n\u0131 g\u00fcvenli bir \u015fekilde yorumlamak m\u00fcmk\u00fcnd\u00fcr.<\/span><\/p>\n
 Sonra ne yapaca\u011f\u0131z<\/strong><\/h2>\n
 Breusch-Pagan testinin s\u0131f\u0131r hipotezini reddetmezseniz, bu durumda heteroskedastisite mevcut de\u011fildir ve orijinal regresyonun sonucunu yorumlamaya devam edebilirsiniz.<\/span><\/p>\n
 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
 Bu sorunu \u00e7\u00f6zmenin birka\u00e7 yayg\u0131n yolu vard\u0131r:<\/span><\/p>\n
 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
 \u00d6rne\u011fin, orijinal yan\u0131t de\u011fi\u015fkeni yerine g\u00fcnl\u00fck yan\u0131t de\u011fi\u015fkenini kullanabilirsiniz.<\/span><\/p>\n
 Genel olarak<\/span> yan\u0131t de\u011fi\u015fkeninin logunun al\u0131nmas\u0131 de\u011fi\u015fen varyansl\u0131l\u0131\u011f\u0131 ortadan kald\u0131rman\u0131n etkili bir yoludur.<\/span><\/p>\n
 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
 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
 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
 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":"
Bir regresyon analizinde de\u011fi\u015fen varyans\u0131n mevcut olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Breusch-Pagan testi kullan\u0131l\u0131r. Bu e\u011fitimde SAS’ta Breusch-Pagan testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. \u00d6rnek: SAS’ta Breusch-Pagan testi \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: S\u0131nav puan\u0131 = \u03b2 […]<\/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-4522","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nSAS'ta Breusch-Pagan testi nas\u0131l yap\u0131l\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir regresyon modelinde de\u011fi\u015fen varyans\u0131n test edilmesi i\u00e7in SAS'ta Bresuch-Pagan testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi 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\/breusch-pagan-testi-sas\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"SAS'ta Breusch-Pagan testi nas\u0131l yap\u0131l\u0131r - 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