{"id":2262,"date":"2023-07-23T00:59:23","date_gmt":"2023-07-23T00:59:23","guid":{"rendered":"https:\/\/statorials.org\/tr\/t-dogrusal-regresyonu-test-edin\/"},"modified":"2023-07-23T00:59:23","modified_gmt":"2023-07-23T00:59:23","slug":"t-dogrusal-regresyonu-test-edin","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/t-dogrusal-regresyonu-test-edin\/","title":{"rendered":"Do\u011frusal regresyonda t-testini anlama"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Do\u011frusal regresyon,<\/strong> bir yorday\u0131c\u0131 de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Do\u011frusal bir regresyon uygulad\u0131\u011f\u0131m\u0131zda, yorday\u0131c\u0131 de\u011fi\u015fken ile yan\u0131t de\u011fi\u015fkeni aras\u0131nda istatistiksel olarak anlaml\u0131 bir ili\u015fki olup olmad\u0131\u011f\u0131n\u0131 bilmek isteriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Regresyon e\u011fimi i\u00e7in bir t-testi ger\u00e7ekle\u015ftirerek anlaml\u0131l\u0131\u011f\u0131 test ediyoruz. Bu t-testi i\u00e7in a\u015fa\u011f\u0131daki s\u0131f\u0131r ve alternatif hipotezi kullan\u0131yoruz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u03b2 <sub>1<\/sub> = 0 (e\u011fim s\u0131f\u0131ra e\u015fittir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u03b2 <sub>1<\/sub> \u2260 0 (e\u011fim s\u0131f\u0131ra e\u015fit de\u011fildir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Daha sonra test istatisti\u011fini a\u015fa\u011f\u0131daki gibi hesapl\u0131yoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><em>t<\/em> = <em>b<\/em> \/ SE <sub><em>b<\/em><\/sub><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em><strong>b<\/strong> :<\/em> katsay\u0131n\u0131n tahmini<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>SE <sub><em>b<\/em><\/sub><\/strong> : katsay\u0131 tahmininin standart hatas\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">E\u011fer <em>t&#8217;ye<\/em> kar\u015f\u0131l\u0131k gelen p de\u011feri belirli bir e\u015fi\u011fin alt\u0131ndaysa (\u00f6rne\u011fin \u03b1 = 0,05), bu durumda s\u0131f\u0131r hipotezini reddeder ve yorday\u0131c\u0131 de\u011fi\u015fken ile yan\u0131t de\u011fi\u015fkeni aras\u0131nda istatistiksel olarak anlaml\u0131 bir ili\u015fki oldu\u011fu sonucuna var\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, pratikte do\u011frusal regresyon modeli i\u00e7in t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Do\u011frusal regresyon i\u00e7in t testi \u00e7al\u0131\u015ft\u0131rma<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir profes\u00f6r\u00fcn 40 \u00f6\u011frencisinin ders \u00e7al\u0131\u015fma saatleri ile s\u0131nav notlar\u0131 aras\u0131ndaki ili\u015fkiyi analiz etmek istedi\u011fini varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tahmin edici de\u011fi\u015fken olarak \u00e7al\u0131\u015f\u0131lan saatleri ve yan\u0131t de\u011fi\u015fkeni olarak al\u0131nan s\u0131nav puanlar\u0131n\u0131 kullanarak basit bir do\u011frusal regresyon ger\u00e7ekle\u015ftirir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tabloda regresyon modelinin sonu\u00e7lar\u0131 g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20634 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/testreg1-1.png\" alt=\"\" width=\"513\" height=\"117\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015f\u0131lan saatlerin final s\u0131nav notuyla istatistiksel olarak anlaml\u0131 bir ili\u015fkisinin olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in t-testi yapabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu t-testi i\u00e7in a\u015fa\u011f\u0131daki s\u0131f\u0131r ve alternatif hipotezi kullan\u0131yoruz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub><\/strong> : \u03b2 <sub>1<\/sub> = 0 (\u00e7al\u0131\u015f\u0131lan saatlerin e\u011fimi s\u0131f\u0131ra e\u015fittir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>A<\/sub><\/strong> : \u03b2 <sub>1<\/sub> \u2260 0 (\u00e7al\u0131\u015f\u0131lan saatlerin e\u011fimi s\u0131f\u0131ra e\u015fit de\u011fildir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Daha sonra test istatisti\u011fini a\u015fa\u011f\u0131daki gibi hesapl\u0131yoruz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><em>t<\/em> = <em>b<\/em> \/ SE <sub><em>b<\/em><\/sub><\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>t<\/em> = 1,117 \/ 1,025<\/span><\/li>\n<li> <span style=\"color: #000000;\"><em>t<\/em> = 1,089<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">df = n-2 = 40 \u2013 2 = 38 ile <em>t<\/em> = 1,089&#8217;a kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>0,283&#8217;t\u00fcr<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011ferini hesaplamak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/t-puani-p-degeri-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">T puan\u0131 &#8211; P de\u011feri hesaplay\u0131c\u0131s\u0131n\u0131<\/a> da kullanabilece\u011fimizi unutmay\u0131n:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20635 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/testreg2.png\" alt=\"\" width=\"303\" height=\"643\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu 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;\">Yani \u00e7al\u0131\u015f\u0131lan saatlerin final s\u0131nav sonu\u00e7lar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir ili\u015fkisi <em>yoktur<\/em> .<\/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\u011fitimler do\u011frusal regresyon hakk\u0131nda ek bilgi sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/dogrusal-regresyon-1\/\" target=\"_blank\" rel=\"noopener\">Basit Do\u011frusal Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/coklu-dogrusal-regresyon\/\" target=\"_blank\" rel=\"noopener\">\u00c7oklu Do\u011frusal Regresyona Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/regresyon-katsayilari-nasil-yorumlanir\/\" target=\"_blank\" rel=\"noopener\">Regresyon katsay\u0131lar\u0131 nas\u0131l yorumlan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/regresyonda-genel-anlamlilik-icin-f-testini-anlamaya-yonelik-basit-bir-kilavuz\/\" target=\"_blank\" rel=\"noopener\">Regresyonda genel anlaml\u0131l\u0131k i\u00e7in F testi nas\u0131l yorumlan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Do\u011frusal regresyon, bir yorday\u0131c\u0131 de\u011fi\u015fken ile bir yan\u0131t de\u011fi\u015fkeni aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in kullan\u0131l\u0131r. Do\u011frusal bir regresyon uygulad\u0131\u011f\u0131m\u0131zda, yorday\u0131c\u0131 de\u011fi\u015fken ile yan\u0131t de\u011fi\u015fkeni aras\u0131nda istatistiksel olarak anlaml\u0131 bir ili\u015fki olup olmad\u0131\u011f\u0131n\u0131 bilmek isteriz. Regresyon e\u011fimi i\u00e7in bir t-testi ger\u00e7ekle\u015ftirerek anlaml\u0131l\u0131\u011f\u0131 test ediyoruz. Bu t-testi i\u00e7in a\u015fa\u011f\u0131daki s\u0131f\u0131r ve alternatif hipotezi kullan\u0131yoruz: H 0 : \u03b2 [&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-2262","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>Do\u011frusal regresyonda t-testini anlama - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir \u00f6rnek de dahil olmak \u00fczere do\u011frusal regresyonda kullan\u0131lan t testinin tam bir a\u00e7\u0131klamas\u0131 sa\u011flanmaktad\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\/t-dogrusal-regresyonu-test-edin\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Do\u011frusal regresyonda t-testini anlama - 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