{"id":419,"date":"2023-07-30T04:17:34","date_gmt":"2023-07-30T04:17:34","guid":{"rendered":"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi\/"},"modified":"2023-07-30T04:17:34","modified_gmt":"2023-07-30T04:17:34","slug":"eslestirilmis-ornekler-t-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi\/","title":{"rendered":"E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi: tan\u0131m, form\u00fcl ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi,<\/strong> bir \u00f6rnekteki her <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemin<\/a> di\u011fer \u00f6rnekteki bir g\u00f6zlemle ili\u015fkilendirilebildi\u011fi durumlarda iki \u00f6rne\u011fin ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde a\u015fa\u011f\u0131dakiler a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi ger\u00e7ekle\u015ftirme motivasyonu.<\/span><\/li>\n<li> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi ger\u00e7ekle\u015ftirme form\u00fcl\u00fc.<\/span><\/li>\n<li> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi ger\u00e7ekle\u015ftirmek i\u00e7in kar\u015f\u0131lanmas\u0131 gereken varsay\u0131mlar.<\/span><\/li>\n<li> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine bir \u00f6rnek.<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi: Motivasyon<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi genellikle iki senaryoda kullan\u0131l\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Bir tedaviden \u00f6nce ve sonra bir denekle ilgili \u00f6l\u00e7\u00fcm yap\u0131l\u0131r<\/strong> &#8211; \u00f6rne\u011fin kolej basketbolcular\u0131n\u0131n maksimum dikey s\u0131\u00e7ramas\u0131, bir antrenman program\u0131na kat\u0131lmadan \u00f6nce ve sonra \u00f6l\u00e7\u00fcl\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u00d6l\u00e7\u00fcm iki farkl\u0131 ko\u015fulda yap\u0131l\u0131r<\/strong> ; \u00f6rne\u011fin bir hastan\u0131n tepki s\u00fcresi iki farkl\u0131 ila\u00e7la \u00f6l\u00e7\u00fcl\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her iki durumda da, bir \u00f6rnekteki her g\u00f6zlemin di\u011fer \u00f6rnekteki bir g\u00f6zlemle ili\u015fkilendirilebildi\u011fi iki grup aras\u0131ndaki ortalama \u00f6l\u00e7\u00fcm\u00fc kar\u015f\u0131la\u015ft\u0131rmak istiyoruz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi:<\/strong><\/span> <span style=\"color: #000000;\"><strong>form\u00fcl<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi her zaman a\u015fa\u011f\u0131daki bo\u015f hipotezi kullan\u0131r:<\/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<\/ul>\n<p> <span style=\"color: #000000;\">Alternatif hipotez iki tarafl\u0131, sol veya sa\u011f olabilir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (iki kuyruklu):<\/strong> \u03bc <strong><sub>1<\/sub><\/strong> \u2260 \u03bc <sub>2<\/sub> (iki pop\u00fclasyonun ortalamalar\u0131 e\u015fit de\u011fildir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (solda):<\/strong> \u03bc <sub>1<\/sub> &lt; \u03bc <sub>2<\/sub> (pop\u00fclasyon 1&#8217;in ortalamas\u0131, pop\u00fclasyon 2&#8217;nin ortalamas\u0131ndan d\u00fc\u015f\u00fckt\u00fcr)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> (sa\u011f):<\/strong> \u03bc <strong><sub>1<\/sub><\/strong> &gt; \u03bc <sub>2<\/sub> (pop\u00fclasyon 1&#8217;in ortalamas\u0131, pop\u00fclasyon 2&#8217;nin ortalamas\u0131ndan daha b\u00fcy\u00fckt\u00fcr)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">T-testi istatisti\u011fini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t = <span style=\"text-decoration: overline;\">x<\/span> <sub>fark<\/sub> \/ (s <sub>fark<\/sub> \/\u221an)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> <sub>diff<\/sub> :<\/strong> farklar\u0131n ortalamas\u0131na \u00f6rnek<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> farklar\u0131n standart sapmas\u0131na \u00f6rnek<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc (yani \u00e7ift say\u0131s\u0131)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">(n-1) serbestlik derecesine sahip t testi istatisti\u011fine kar\u015f\u0131l\u0131k gelen p de\u011feri, se\u00e7ilen anlaml\u0131l\u0131k seviyesinden k\u00fc\u00e7\u00fckse (ortak se\u00e7enekler 0,10, 0,05 ve 0,01&#8217;dir), o zaman s\u0131f\u0131r hipotezini reddedebilirsiniz.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi: varsay\u0131mlar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi sonu\u00e7lar\u0131n\u0131n ge\u00e7erli olmas\u0131 i\u00e7in a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131n kar\u015f\u0131lanmas\u0131 gerekir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Kat\u0131l\u0131mc\u0131lar pop\u00fclasyondan rastgele se\u00e7ilmelidir.<\/span><\/li>\n<li> <span style=\"color: #000000;\">\u00c7iftler aras\u0131ndaki farklar yakla\u015f\u0131k olarak normal da\u011f\u0131lmal\u0131d\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Farkl\u0131l\u0131klarda a\u015f\u0131r\u0131 ayk\u0131r\u0131l\u0131klar olmamal\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>E\u015fle\u015ftirilmi\u015f<\/strong><\/span> <span style=\"color: #000000;\"><strong>\u00f6rnekler t-testi<\/strong><\/span> <span style=\"color: #000000;\"><strong>: \u00f6rnek<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Belirli bir antrenman program\u0131n\u0131n kolej basketbol oyuncular\u0131n\u0131n maksimum dikey s\u0131\u00e7ramas\u0131n\u0131 (in\u00e7 cinsinden) art\u0131rma kapasitesine sahip olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in, 20 \u00fcniversite basketbol oyuncusundan olu\u015fan <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">basit rastgele bir \u00f6rneklemi<\/a> i\u015fe alabilir ve onlar\u0131n maksimum dikey s\u0131\u00e7ramalar\u0131n\u0131n her birini \u00f6l\u00e7ebiliriz. Daha sonra her oyuncunun bir ay boyunca antrenman program\u0131n\u0131 kullanmas\u0131n\u0131 sa\u011flayabiliriz ve ay sonunda maksimum dikey s\u0131\u00e7ramalar\u0131n\u0131 tekrar \u00f6l\u00e7ebiliriz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-7956 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/jumelet1.png\" alt=\"\u00d6rnek E\u015fle\u015ftirilmi\u015f T Testi Veri K\u00fcmesi\" width=\"348\" height=\"443\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Antrenman program\u0131n\u0131n ger\u00e7ekten maksimum dikey s\u0131\u00e7rama \u00fczerinde bir etkisi olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanarak \u03b1 = 0,05 anlaml\u0131l\u0131k seviyesinde e\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Farkl\u0131l\u0131klar i\u00e7in \u00f6zet verileri hesaplay\u0131n.<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"wp-image-7958 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/jumelet2.png\" alt=\"E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi veri seti\" width=\"398\" height=\"455\" srcset=\"\" sizes=\"auto, \"><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><span style=\"text-decoration: overline;\">x<\/span> <sub>diff<\/sub> :<\/strong> farklar\u0131n \u00f6rnek ortalamas\u0131 = <strong>-0,95<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> farklar\u0131n \u00f6rnek standart sapmas\u0131 = <strong>1,317<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc (yani \u00e7ift say\u0131s\u0131) = <strong>20<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Varsay\u0131mlar\u0131 tan\u0131mlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler i\u00e7in t-testini a\u015fa\u011f\u0131daki hipotezlerle ger\u00e7ekle\u015ftirece\u011fiz:<\/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 3: <em>t<\/em> -testi istatisti\u011fini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">t = <span style=\"text-decoration: overline;\">x<\/span> <sub>fark<\/sub> \/ (s <sub>fark<\/sub> \/\u221an)<\/span><\/strong> <span style=\"color: #000000;\">= -0,95 \/ (1,317\/ <strong>\u221a<\/strong> 20) = <strong>-3,226<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: <em>t-<\/em> testi istatisti\u011finin p-de\u011ferini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/t-puani-p-degeri-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">P De\u011feri hesaplay\u0131c\u0131s\u0131na g\u00f6re T puan\u0131na<\/a> g\u00f6re, t = -3,226 ve serbestlik derecesi = n-1 = 20-1 = 19 ile ili\u015fkili p de\u011feri <strong>0,00445&#8217;tir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Bir sonu\u00e7 \u00e7\u0131kar\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri bizim anlaml\u0131l\u0131k seviyemiz olan \u03b1 = 0,05&#8217;in alt\u0131nda oldu\u011fundan s\u0131f\u0131r hipotezini reddediyoruz. Oyuncular\u0131n ortalama maksimum dikey s\u0131\u00e7ramas\u0131n\u0131n antrenman program\u0131na kat\u0131lmadan \u00f6nce ve sonra farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z var.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testinin tamam\u0131n\u0131 yaln\u0131zca <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanarak da ger\u00e7ekle\u015ftirebilirsiniz.<\/em><\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde, farkl\u0131 istatistiksel programlar kullan\u0131larak e\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi nas\u0131l ger\u00e7ekle\u015ftirilir<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi-spss\/\" target=\"_blank\" rel=\"noopener\">SPSS&#8217;de e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi nas\u0131l yap\u0131l\u0131r?<\/a><br \/> Stata&#8217;da e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi nas\u0131l yap\u0131l\u0131r?<br \/> TI-84 Hesap Makinesinde E\u015fle\u015ftirilmi\u015f \u00d6rnekler t-Testi Nas\u0131l Ger\u00e7ekle\u015ftirilir<br \/> <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi nas\u0131l yap\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi-python\/\">Python&#8217;da e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi nas\u0131l yap\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/elle-eslestirilmis-t-testi\/\">Elle E\u015fle\u015ftirilmi\u015f \u00d6rnekler T Testi Nas\u0131l Yap\u0131l\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi, bir \u00f6rnekteki her g\u00f6zlemin di\u011fer \u00f6rnekteki bir g\u00f6zlemle ili\u015fkilendirilebildi\u011fi durumlarda iki \u00f6rne\u011fin ortalamalar\u0131n\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131l\u0131r. Bu e\u011fitimde a\u015fa\u011f\u0131dakiler a\u00e7\u0131klanmaktad\u0131r: E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi ger\u00e7ekle\u015ftirme motivasyonu. E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi ger\u00e7ekle\u015ftirme form\u00fcl\u00fc. E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi ger\u00e7ekle\u015ftirmek i\u00e7in kar\u015f\u0131lanmas\u0131 gereken varsay\u0131mlar. E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine bir \u00f6rnek. E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi: Motivasyon E\u015fle\u015ftirilmi\u015f \u00f6rnekler [&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-419","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>E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi: tan\u0131m, form\u00fcl ve \u00f6rnek - Statorials<\/title>\n<meta name=\"description\" content=\"Ad\u0131m ad\u0131m bir \u00f6rnekle birlikte e\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin 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\/eslestirilmis-ornekler-t-testi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi: tan\u0131m, form\u00fcl ve \u00f6rnek - 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