{"id":667,"date":"2023-07-29T04:03:38","date_gmt":"2023-07-29T04:03:38","guid":{"rendered":"https:\/\/statorials.org\/tr\/hiyerarsik-regresyon-istatistikleri\/"},"modified":"2023-07-29T04:03:38","modified_gmt":"2023-07-29T04:03:38","slug":"hiyerarsik-regresyon-istatistikleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/hiyerarsik-regresyon-istatistikleri\/","title":{"rendered":"Stata&#39;da hiyerar\u015fik regresyon nas\u0131l ger\u00e7ekle\u015ftirilir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\"><b>Hiyerar\u015fik regresyon,<\/b> birka\u00e7 farkl\u0131 do\u011frusal modeli kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullanabilece\u011fimiz bir tekniktir.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Temel fikir, ilk \u00f6nce tek bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenle do\u011frusal bir regresyon modeli uydurmam\u0131zd\u0131r. Daha sonra ek bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken kullanarak ba\u015fka bir regresyon modeli uyduruyoruz. \u0130kinci modeldeki R-kare (tepki de\u011fi\u015fkenindeki a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen varyans oran\u0131) \u00f6nceki modeldeki R-kareden \u00f6nemli \u00f6l\u00e7\u00fcde y\u00fcksekse bu, ikinci modelin daha iyi oldu\u011fu anlam\u0131na gelir.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra ek regresyon modellerini daha a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerle uydurma s\u00fcrecini tekrarl\u0131yoruz ve yeni modellerin \u00f6nceki modellere g\u00f6re bir geli\u015fme sa\u011flay\u0131p sa\u011flamad\u0131\u011f\u0131n\u0131 g\u00f6r\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde Stata&#8217;da hiyerar\u015fik regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin bir \u00f6rnek sunulmaktad\u0131r.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u00d6rnek: Stata&#8217;da hiyerar\u015fik regresyon<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Stata&#8217;da hiyerar\u015fik regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6stermek i\u00e7in <em>auto<\/em> ad\u0131 verilen yerle\u015fik bir veri k\u00fcmesi kullanaca\u011f\u0131z. \u00d6ncelikle komut kutusuna a\u015fa\u011f\u0131dakini yazarak veri k\u00fcmesini y\u00fckleyin:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>sistemin otomatik kullan\u0131m\u0131<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki komutu kullanarak verilerin h\u0131zl\u0131 bir \u00f6zetini alabiliriz:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>\u00f6zetlemek<\/strong><\/span> <\/p>\n<\/blockquote>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6403 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hierarchstata1.png\" alt=\"Stata'da Otomatik Veri K\u00fcmesi \u00d6zeti\" width=\"477\" height=\"337\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Veri setinin toplamda 74 araba i\u00e7in 12 farkl\u0131 de\u011fi\u015fkene ili\u015fkin bilgi i\u00e7erdi\u011fini g\u00f6r\u00fcyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00fc\u00e7 do\u011frusal regresyon modelini yerle\u015ftirece\u011fiz ve sonraki her modelin \u00f6nceki modele g\u00f6re \u00f6nemli bir geli\u015fme sa\u011flay\u0131p sa\u011flamad\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in hiyerar\u015fik regresyon kullanaca\u011f\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Model 1:<\/strong> fiyat = kesi\u015fim + mpg<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Model 2:<\/strong> fiyat = kesi\u015fim noktas\u0131 + mpg + a\u011f\u0131rl\u0131k<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Model 3:<\/strong> fiyat = kesi\u015fim noktas\u0131 + mpg + a\u011f\u0131rl\u0131k + di\u015fli oran\u0131<\/span><\/p>\n<p> <span style=\"color: #000000;\">Stata&#8217;da hiyerar\u015fik regresyon yapabilmek i\u00e7in \u00f6ncelikle <strong>Hireg<\/strong> paketini kurmam\u0131z gerekecek. Bunu yapmak i\u00e7in Komut kutusuna a\u015fa\u011f\u0131dakini yaz\u0131n:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>Hireg&#8217;i bul<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">G\u00f6r\u00fcnen pencerede <strong>https:\/\/fmwww.bc.edu\/RePEc\/bocode\/h adresinden Hireg&#8217;e<\/strong> t\u0131klay\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6404 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hierarchstata2.png\" alt=\"Hireg paketini Stata'ya y\u00fckleyin\" width=\"511\" height=\"371\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bir sonraki pencerede <strong>y\u00fcklemek i\u00e7in buray\u0131<\/strong> t\u0131klay\u0131n yazan ba\u011flant\u0131ya t\u0131klay\u0131n.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6405 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hierarchstata3.png\" alt=\"\" width=\"522\" height=\"517\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Paket saniyeler i\u00e7inde kurulacakt\u0131r. Daha sonra hiyerar\u015fik bir regresyon ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki komutu kullanaca\u011f\u0131z:<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\"><strong>kiralama fiyat\u0131 (mpg) (a\u011f\u0131rl\u0131k) (gear_ratio)<\/strong><\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">\u0130\u015fte bunun Stata&#8217;dan yapmas\u0131n\u0131 istedi\u011fi \u015fey:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Her modelde <strong>fiyat\u0131<\/strong> yan\u0131t de\u011fi\u015fkeni olarak kullanarak hiyerar\u015fik bir regresyon ger\u00e7ekle\u015ftirin.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130lk model i\u00e7in a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken olarak <strong>mpg&#8217;yi<\/strong> kullan\u0131n.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u0130kinci model i\u00e7in, ek bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken olarak <strong>a\u011f\u0131rl\u0131\u011f\u0131<\/strong> ekleyin.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00dc\u00e7\u00fcnc\u00fc model i\u00e7in ba\u015fka bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken olarak <strong>vites_ratio&#8217;yu<\/strong> ekleyin.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130\u015fte ilk modelin sonucu:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6406 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hierarchstata4.png\" alt=\"Stata'da hiyerar\u015fik regresyon \u00e7\u0131kt\u0131s\u0131\" width=\"607\" height=\"311\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Modelin R-karesinin <strong>0,2196<\/strong> oldu\u011funu ve modelin genel p-de\u011ferinin (Prob &gt; F) <strong>0,0000<\/strong> oldu\u011funu g\u00f6r\u00fcyoruz; bu da \u03b1 = 0,05&#8217;te istatistiksel olarak anlaml\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra ikinci modelin sonucunu g\u00f6r\u00fcyoruz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6407 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hierarchstata5.png\" alt=\"Stata'daki ikinci modelin hiyerar\u015fik regresyon \u00e7\u0131kt\u0131s\u0131\" width=\"602\" height=\"355\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu modelin R karesi <strong>0,2934<\/strong> olup, ilk modelinkinden daha b\u00fcy\u00fckt\u00fcr. Bu fark\u0131n istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Stata, sonucun alt\u0131nda a\u015fa\u011f\u0131daki say\u0131lar\u0131 veren bir F testi ger\u00e7ekle\u015ftirdi:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130ki model aras\u0131ndaki R kare fark\u0131 = <strong>0,074<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Fark i\u00e7in F istatisti\u011fi = <strong>7,416<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">F istatisti\u011finin kar\u015f\u0131l\u0131k gelen p de\u011feri = <strong>0,008<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">P de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck oldu\u011fundan ikinci modelde birinci modele g\u00f6re istatistiksel olarak anlaml\u0131 bir iyile\u015fme oldu\u011fu sonucuna var\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Son olarak \u00fc\u00e7\u00fcnc\u00fc modelin sonucunu g\u00f6rebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6408 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hierarchstata6.png\" alt=\"Stata yorumunda hiyerar\u015fik regresyon\" width=\"601\" height=\"365\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu modelin R karesi <strong>0,3150<\/strong> olup, ikinci modelinkinden daha b\u00fcy\u00fckt\u00fcr. Bu fark\u0131n istatistiksel olarak anlaml\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Stata, sonucun alt\u0131nda a\u015fa\u011f\u0131daki say\u0131lar\u0131 veren bir F testi ger\u00e7ekle\u015ftirdi:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130ki model aras\u0131ndaki R kare fark\u0131 = <strong>0,022<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Fark i\u00e7in F istatisti\u011fi = <strong>2,206<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">F istatisti\u011finin kar\u015f\u0131l\u0131k gelen p de\u011feri = <strong>0,142<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">P de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131 i\u00e7in \u00fc\u00e7\u00fcnc\u00fc modelin ikinci modele g\u00f6re bir iyile\u015fme sa\u011flad\u0131\u011f\u0131n\u0131 s\u00f6ylemek i\u00e7in yeterli kan\u0131ta sahip de\u011filiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sonucun en sonunda Stata&#8217;n\u0131n sonu\u00e7lar\u0131n bir \u00f6zetini sundu\u011funu g\u00f6rebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-6409 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hierarchstata7.png\" alt=\"Stata'da hiyerar\u015fik regresyon sonu\u00e7lar\u0131\" width=\"601\" height=\"84\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00f6zel \u00f6rnekte, Model 2&#8217;nin Model 1&#8217;e g\u00f6re \u00f6nemli bir geli\u015fme sa\u011flad\u0131\u011f\u0131 ancak Model 3&#8217;\u00fcn Model 2&#8217;ye g\u00f6re \u00f6nemli bir geli\u015fme sa\u011flamad\u0131\u011f\u0131 sonucuna varaca\u011f\u0131z.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Hiyerar\u015fik regresyon, birka\u00e7 farkl\u0131 do\u011frusal modeli kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullanabilece\u011fimiz bir tekniktir. Temel fikir, ilk \u00f6nce tek bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenle do\u011frusal bir regresyon modeli uydurmam\u0131zd\u0131r. Daha sonra ek bir a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fken kullanarak ba\u015fka bir regresyon modeli uyduruyoruz. \u0130kinci modeldeki R-kare (tepki de\u011fi\u015fkenindeki a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenler taraf\u0131ndan a\u00e7\u0131klanabilen varyans oran\u0131) \u00f6nceki modeldeki R-kareden \u00f6nemli \u00f6l\u00e7\u00fcde y\u00fcksekse bu, ikinci [&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-667","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>Stata&#039;da hiyerar\u015fik regresyon nas\u0131l ger\u00e7ekle\u015ftirilir - Statorials<\/title>\n<meta name=\"description\" content=\"Stata&#039;da hiyerar\u015fik regresyonun nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine dair basit bir a\u00e7\u0131klama.\" \/>\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\/hiyerarsik-regresyon-istatistikleri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Stata&#039;da hiyerar\u015fik regresyon nas\u0131l ger\u00e7ekle\u015ftirilir - 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