{"id":2132,"date":"2023-07-23T13:44:42","date_gmt":"2023-07-23T13:44:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/t-degeri-ve-p-degeri\/"},"modified":"2023-07-23T13:44:42","modified_gmt":"2023-07-23T13:44:42","slug":"t-degeri-ve-p-degeri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/t-degeri-ve-p-degeri\/","title":{"rendered":"I\u0307statistiklerde t de\u011ferleri ile p de\u011ferleri aras\u0131ndaki fark"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00d6\u011frencilerin istatistikte s\u0131kl\u0131kla kar\u0131\u015ft\u0131rd\u0131\u011f\u0131 iki terim <strong>t de\u011ferleri<\/strong> ve <strong>p de\u011ferleridir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu terimler aras\u0131ndaki fark\u0131 anlamak i\u00e7in <strong>t-testlerini<\/strong> anlamak yard\u0131mc\u0131 olur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Genel olarak konu\u015fursak, \u00fc\u00e7 farkl\u0131 t testi t\u00fcr\u00fc vard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Tek \u00f6rnek t testi<\/strong> : Bir pop\u00fclasyon ortalamas\u0131n\u0131n belirli bir de\u011fere e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0130ki \u00f6rnekli t testi<\/strong> : \u0130ki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi<\/strong> : Bir \u00f6rnekteki her g\u00f6zlem di\u011fer \u00f6rnekteki bir g\u00f6zlemle ili\u015fkilendirilebildi\u011finde iki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullan\u0131r\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Ad\u0131m 1:<\/strong> Bo\u015f ve alternatif hipotezleri belirtin.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Ad\u0131m 2:<\/strong> t de\u011ferini hesaplay\u0131n.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Ad\u0131m 3:<\/strong> T de\u011ferine kar\u015f\u0131l\u0131k gelen p de\u011ferini hesaplay\u0131n.<\/span> <\/li>\n<\/ul>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19765 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/tval1.png\" alt=\"\" width=\"273\" height=\"444\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Her test i\u00e7in <strong>t de\u011feri<\/strong> , pop\u00fclasyon ortalamalar\u0131 aras\u0131ndaki fark\u0131 nicelle\u015ftirmenin bir yoludur ve <strong>p de\u011feri,<\/strong> en az\u0131ndan &#8216;\u00f6rnek&#8217;te ger\u00e7ekten g\u00f6zlemledi\u011fimiz kadar b\u00fcy\u00fck bir mutlak de\u011fere sahip bir t de\u011feri elde etme olas\u0131l\u0131\u011f\u0131d\u0131r. S\u0131f\u0131r hipotezi ger\u00e7ekten do\u011fruysa veriler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u011fer p de\u011feri belirli bir de\u011ferden (\u00f6rne\u011fin 0,05) k\u00fc\u00e7\u00fckse, testin s\u0131f\u0131r hipotezini reddederiz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her bir t testi t\u00fcr\u00fc i\u00e7in <strong>p de\u011feriyle<\/strong> ilgileniyoruz ve p de\u011ferini hesaplamak i\u00e7in sadece <strong>t de\u011ferini<\/strong> ara ad\u0131m olarak kullan\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, iki \u00f6rnekli bir t testi i\u00e7in bir t de\u011ferinin ve buna kar\u015f\u0131l\u0131k gelen p de\u011ferinin nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve yorumlanaca\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/p>\n<h3> <strong><span style=\"color: #000000;\">\u00d6rnek: T de\u011ferlerini ve P de\u011ferlerini hesaplay\u0131n ve yorumlay\u0131n<\/span><\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki iki farkl\u0131 kaplumba\u011fa t\u00fcr\u00fcn\u00fcn ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyoruz. Her pop\u00fclasyondan a\u015fa\u011f\u0131daki a\u011f\u0131rl\u0131klara sahip 12 kaplumba\u011fadan olu\u015fan basit rastgele bir \u00f6rnek topluyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>T\u00fcr #1<\/strong> : 301, 298, 295, 297, 304, 305, 309, 298, 291, 299, 293, 304<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>T\u00fcr #2<\/strong> : 302, 309, 324, 313, 312, 310, 305, 298, 299, 300, 289, 294<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu verileri kullanarak iki \u00f6rnekli bir t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Bo\u015f ve alternatif hipotezleri belirtin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle bo\u015f ve alternatif hipotezleri belirtelim:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u03bc <sub>1<\/sub> = \u03bc <sub>2<\/sub> (iki pop\u00fclasyon ortalamas\u0131 e\u015fittir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> \u03bc <sub>1<\/sub> \u2260 \u03bc <sub>2<\/sub> (iki pop\u00fclasyon ortalamas\u0131 e\u015fit de\u011fildir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: t de\u011ferini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, her bir kaplumba\u011fa \u00f6rne\u011finin a\u011f\u0131rl\u0131\u011f\u0131n\u0131 <a href=\"https:\/\/statorials.org\/tr\/ta-test-hesap-makinesi-iki-ornek\/\" target=\"_blank\" rel=\"noopener\">iki \u00f6rnekli t testi hesaplay\u0131c\u0131s\u0131na<\/a> girece\u011fiz ve t de\u011ferinin <strong>-1,608761<\/strong> oldu\u011funu bulaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: P de\u011ferini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">-1,608761 t de\u011ferine kar\u015f\u0131l\u0131k gelen p de\u011ferinin <strong>0,121926<\/strong> oldu\u011funu bulmak i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/ta-test-hesap-makinesi-iki-ornek\/\" target=\"_blank\" rel=\"noopener\">iki \u00f6rnekli t testi hesaplay\u0131c\u0131s\u0131n\u0131<\/a> da kullanabiliriz.<\/span><\/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;\">Bu, iki pop\u00fclasyon aras\u0131ndaki kaplumba\u011falar\u0131n ortalama a\u011f\u0131rl\u0131\u011f\u0131n\u0131n farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131ta sahip olmad\u0131\u011f\u0131m\u0131z anlam\u0131na geliyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">P de\u011ferini hesaplamak i\u00e7in t de\u011ferini ara ad\u0131m olarak kulland\u0131\u011f\u0131m\u0131z\u0131 unutmay\u0131n. P de\u011feri ilgilendi\u011fimiz ger\u00e7ek de\u011ferdi ancak \u00f6nce t de\u011ferini hesaplamam\u0131z gerekiyordu.<\/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 t testleri ve p de\u011ferleri hakk\u0131nda ek bilgi sunar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ornek-t-testi\/\" target=\"_blank\" rel=\"noopener\">Tek \u00f6rnekli t-testine giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/iki-orneginizi-test-edin\/\" target=\"_blank\" rel=\"noopener\">\u0130ki \u00f6rnekli t testine giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi\/\" target=\"_blank\" rel=\"noopener\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testine giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/el-testinden-pa-degeri-nasil-hesaplanir\/\" target=\"_blank\" rel=\"noopener\">Bir t testinden P de\u011feri manuel olarak nas\u0131l hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00d6\u011frencilerin istatistikte s\u0131kl\u0131kla kar\u0131\u015ft\u0131rd\u0131\u011f\u0131 iki terim t de\u011ferleri ve p de\u011ferleridir . Bu terimler aras\u0131ndaki fark\u0131 anlamak i\u00e7in t-testlerini anlamak yard\u0131mc\u0131 olur. Genel olarak konu\u015fursak, \u00fc\u00e7 farkl\u0131 t testi t\u00fcr\u00fc vard\u0131r: Tek \u00f6rnek t testi : Bir pop\u00fclasyon ortalamas\u0131n\u0131n belirli bir de\u011fere e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r. \u0130ki \u00f6rnekli t testi : \u0130ki [&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-2132","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>\u0130statistikte T de\u011ferleri ile P de\u011ferleri aras\u0131ndaki fark - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde istatistiklerde t de\u011ferlerinin ve p de\u011ferlerinin nas\u0131l yorumlanaca\u011f\u0131 \u00f6rneklerle 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\/t-degeri-ve-p-degeri\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u0130statistikte T de\u011ferleri ile P de\u011ferleri aras\u0131ndaki fark - 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