{"id":2583,"date":"2023-07-21T15:30:59","date_gmt":"2023-07-21T15:30:59","guid":{"rendered":"https:\/\/statorials.org\/tr\/eslestirilmis-t-testi-hipotezleri\/"},"modified":"2023-07-21T15:30:59","modified_gmt":"2023-07-21T15:30:59","slug":"eslestirilmis-t-testi-hipotezleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/eslestirilmis-t-testi-hipotezleri\/","title":{"rendered":"E\u015fle\u015ftirilmi\u015f t testinde form\u00fcle edilen \u00fc\u00e7 hipotez"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/eslestirilmis-ornekler-t-testi\/\" target=\"_blank\" rel=\"noopener\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi,<\/a> 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.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test t\u00fcr\u00fc verilerle ilgili a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131 yapar:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Ba\u011f\u0131ms\u0131zl\u0131k:<\/strong> Her g\u00f6zlem di\u011fer g\u00f6zlemlerden ba\u011f\u0131ms\u0131z olmal\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Normallik:<\/strong> \u00c7iftler aras\u0131ndaki farklar yakla\u015f\u0131k olarak normal da\u011f\u0131lmal\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. A\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferler olmamal\u0131d\u0131r:<\/strong> Farkl\u0131l\u0131klar aras\u0131nda a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferler olmamal\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131mlardan bir veya daha fazlas\u0131 kar\u015f\u0131lanmazsa e\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testinin sonu\u00e7lar\u0131 g\u00fcvenilmez veya yan\u0131lt\u0131c\u0131 olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu derste, her bir varsay\u0131m\u0131n a\u00e7\u0131klamas\u0131n\u0131, varsay\u0131m\u0131n kar\u015f\u0131lan\u0131p kar\u015f\u0131lanmad\u0131\u011f\u0131n\u0131n nas\u0131l belirlenece\u011fini ve ihlal edilmesi durumunda ne yap\u0131laca\u011f\u0131n\u0131 a\u00e7\u0131kl\u0131yoruz.<\/span><\/p>\n<h2> <strong>Hipotez 1: Ba\u011f\u0131ms\u0131zl\u0131k<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi, her <a href=\"https:\/\/statorials.org\/tr\/istatistikte-gozlem\/\" target=\"_blank\" rel=\"noopener\">g\u00f6zlemin<\/a> di\u011fer t\u00fcm g\u00f6zlemlerden ba\u011f\u0131ms\u0131z oldu\u011funu varsayar.<\/span><\/p>\n<h3> <strong>Bu hipotez nas\u0131l do\u011frulan\u0131r?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m\u0131 do\u011frulaman\u0131n en basit yolu, her g\u00f6zlemin <a href=\"https:\/\/statorials.org\/tr\/ornekleme-yontemleri\/\" target=\"_blank\" rel=\"noopener\">rastgele \u00f6rnekleme y\u00f6ntemi<\/a> kullan\u0131larak topland\u0131\u011f\u0131n\u0131 do\u011frulamakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Rastgele bir \u00f6rnekleme y\u00f6ntemi kullan\u0131lm\u0131\u015fsa (basit rastgele \u00f6rnekleme gibi), her g\u00f6zlemin di\u011fer t\u00fcm g\u00f6zlemlerden ba\u011f\u0131ms\u0131z oldu\u011funu varsayabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bu varsay\u0131ma uyulmazsa ne yap\u0131lmal\u0131?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m kar\u015f\u0131lanmazsa e\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testinin sonu\u00e7lar\u0131 tamamen ge\u00e7ersizdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryoda, her g\u00f6zlemin ba\u011f\u0131ms\u0131z olmas\u0131n\u0131 sa\u011flamak i\u00e7in rastgele \u00f6rnekleme y\u00f6ntemini kullanarak yeni g\u00f6zlemler toplamak en iyisidir.<\/span><\/p>\n<h2> <strong>Hipotez 2: normallik<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi, \u00e7iftler aras\u0131ndaki farklar\u0131n yakla\u015f\u0131k olarak normal \u015fekilde da\u011f\u0131lmas\u0131 gerekti\u011fini varsayar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu \u00e7ok \u00f6nemli bir varsay\u0131md\u0131r \u00e7\u00fcnk\u00fc \u00e7iftler aras\u0131ndaki farklar normal \u015fekilde da\u011f\u0131lm\u0131yorsa, sonu\u00e7 \u00e7\u0131karmak i\u00e7in testin p de\u011ferini kullanmak ge\u00e7erli de\u011fildir.<\/span><\/p>\n<h3> <strong>Bu hipotez nas\u0131l do\u011frulan\u0131r?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">Bu hipotezi test etmenin en kolay yolu, e\u015fle\u015ftirilmi\u015f farkl\u0131l\u0131klar\u0131n bir histogram\u0131n\u0131 olu\u015fturmak ve histogram\u0131n \u00e7an \u015fekline sahip olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rsel olarak kontrol etmektir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin histogram \u015fu \u015fekilde g\u00f6r\u00fcn\u00fcyorsa normallik varsay\u0131m\u0131n\u0131n kar\u015f\u0131land\u0131\u011f\u0131n\u0131 s\u00f6yleyebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19329 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hist_shape2.png\" alt=\"\" width=\"452\" height=\"238\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ancak histogram \u015fu \u015fekilde g\u00f6r\u00fcn\u00fcyorsa normallik varsay\u0131m\u0131n\u0131n kar\u015f\u0131lanmad\u0131\u011f\u0131n\u0131 s\u00f6yleyebiliriz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-19333 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/hist_shape6.png\" alt=\"\" width=\"454\" height=\"244\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bu varsay\u0131ma uyulmazsa ne yap\u0131lmal\u0131?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m\u0131n ihlal edilmesi durumunda, e\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testinin parametrik olmayan e\u015fde\u011feri olarak kabul edilen ve e\u015fle\u015ftirilmi\u015f farklar\u0131n normal \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsaymayan <a href=\"https:\/\/statorials.org\/tr\/wilcoxon-isaret-siralamasi-testi\/\" target=\"_blank\" rel=\"noopener\">Wilcoxon i\u015faretli s\u0131ra testi<\/a> ger\u00e7ekle\u015ftirebiliriz.<\/span><\/p>\n<h2> <strong>Hipotez 3: a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferler yok<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi, verilerde a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferlerin olmad\u0131\u011f\u0131n\u0131 varsayar.<\/span><\/p>\n<h3> <strong>Bu hipotez nas\u0131l do\u011frulan\u0131r?<\/strong><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Bu hipotezi test etmenin en kolay yolu, e\u015fle\u015ftirilmi\u015f farkl\u0131l\u0131klar\u0131n bir kutu grafi\u011fini olu\u015fturmak ve herhangi bir ayk\u0131r\u0131 de\u011fer olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rsel olarak kontrol etmektir.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, e\u015fle\u015ftirilmi\u015f farklar\u0131n kutu grafi\u011finin \u015f\u00f6yle g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22866 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/paireassomption1.jpg\" alt=\"\" width=\"431\" height=\"396\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f farklar\u0131n \u00e7o\u011fu s\u0131f\u0131ra yak\u0131nd\u0131r, ancak yakla\u015f\u0131k 19&#8217;a e\u015fit bir e\u015fle\u015ftirilmi\u015f fark vard\u0131r ki bu a\u00e7\u0131k\u00e7a ayk\u0131r\u0131d\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : Bir daire genellikle kutu grafi\u011finde ayk\u0131r\u0131 bir de\u011feri belirtmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, e\u015fle\u015ftirilmi\u015f farklar\u0131n kutu grafi\u011finin \u015f\u00f6yle g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-22867 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/paireassomption2.jpg\" alt=\"\" width=\"411\" height=\"385\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu kutu grafi\u011finde belirgin ayk\u0131r\u0131 de\u011ferler yoktur, dolay\u0131s\u0131yla verilerde a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferlerin olmad\u0131\u011f\u0131n\u0131 varsayaca\u011f\u0131z.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bu varsay\u0131ma uyulmazsa ne yap\u0131lmal\u0131?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131m ihlal edilirse, e\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testinin sonu\u00e7lar\u0131 ayk\u0131r\u0131 de\u011ferden anormal \u015fekilde etkilenebilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu senaryoda, hatal\u0131 bir veri noktas\u0131n\u0131 temsil etti\u011fini veya bir veri giri\u015fi hatas\u0131n\u0131n sonucu oldu\u011funu d\u00fc\u015f\u00fcn\u00fcyorsan\u0131z ayk\u0131r\u0131 de\u011feri kald\u0131rabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Alternatif olarak, ayk\u0131r\u0131 de\u011feri saklayabilir ve e\u015fle\u015ftirilmi\u015f \u00f6rnekler t-testi sonu\u00e7lar\u0131n\u0131 rapor ederken bunu not edebilirsiniz.<\/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\u011fitimlerde di\u011fer istatistiksel testlerde yap\u0131lan varsay\u0131mlar a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/hipotezleri-test-etmek\/\" target=\"_blank\" rel=\"noopener\">Bir t testinde form\u00fcle edilen d\u00f6rt hipotez<\/a><br \/> Ki-kare testinin d\u00f6rt hipotezi<br \/> Parametrik testlerin d\u00f6rt hipotezi<\/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 test t\u00fcr\u00fc verilerle ilgili a\u015fa\u011f\u0131daki varsay\u0131mlar\u0131 yapar: 1. Ba\u011f\u0131ms\u0131zl\u0131k: Her g\u00f6zlem di\u011fer g\u00f6zlemlerden ba\u011f\u0131ms\u0131z olmal\u0131d\u0131r. 2. Normallik: \u00c7iftler aras\u0131ndaki farklar yakla\u015f\u0131k olarak normal da\u011f\u0131lmal\u0131d\u0131r. 3. A\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferler olmamal\u0131d\u0131r: Farkl\u0131l\u0131klar aras\u0131nda a\u015f\u0131r\u0131 ayk\u0131r\u0131 de\u011ferler olmamal\u0131d\u0131r. [&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-2583","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 t testinde form\u00fcle edilen \u00fc\u00e7 hipotez - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, her bir hipotezin tam a\u00e7\u0131klamas\u0131 da dahil olmak \u00fczere, e\u015fle\u015ftirilmi\u015f bir t-testinde olu\u015fturulan \u00fc\u00e7 hipotez 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\/eslestirilmis-t-testi-hipotezleri\/\" \/>\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 t testinde form\u00fcle edilen \u00fc\u00e7 hipotez - 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