{"id":591,"date":"2023-07-29T09:56:13","date_gmt":"2023-07-29T09:56:13","guid":{"rendered":"https:\/\/statorials.org\/tr\/wilcoxon-isaret-siralamasi-testi\/"},"modified":"2023-07-29T09:56:13","modified_gmt":"2023-07-29T09:56:13","slug":"wilcoxon-isaret-siralamasi-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/wilcoxon-isaret-siralamasi-testi\/","title":{"rendered":"Wilcoxon i\u0307\u015faretli s\u0131ralama testi nas\u0131l ger\u00e7ekle\u015ftirilir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Wilcoxon i\u015faretli s\u0131ra testi,<\/strong> e\u015fle\u015ftirilmi\u015f t testinin parametrik olmayan versiyonudur. \u0130ki pop\u00fclasyon ortalamas\u0131 aras\u0131nda anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Wilcoxon imzal\u0131 s\u0131ralama testi ne zaman kullan\u0131lmal\u0131?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f t testini kullanmak istedi\u011finizde Wilcoxon \u0130\u015faretli S\u0131ralama testini kullan\u0131n ancak \u00e7iftler aras\u0131ndaki farklar\u0131n da\u011f\u0131l\u0131m\u0131 ciddi \u015fekilde normal olmayan bir da\u011f\u0131l\u0131ma sahiptir .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Farkl\u0131l\u0131klar\u0131n normal \u015fekilde da\u011f\u0131l\u0131p da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 belirlemenin en kolay yolu, farkl\u0131l\u0131klar\u0131n histogram\u0131n\u0131 olu\u015fturmak ve bunlar\u0131n biraz normal, &#8220;\u00e7an&#8221; \u015feklinde bir da\u011f\u0131l\u0131m izleyip izlemedi\u011fine bakmakt\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">E\u015fle\u015ftirilmi\u015f t testinin normallikten sapmalara kar\u015f\u0131 olduk\u00e7a dayan\u0131kl\u0131 oldu\u011funu, dolay\u0131s\u0131yla normal da\u011f\u0131l\u0131mdan sapman\u0131n Wilcoxon \u0130\u015faretli S\u0131ralama testinin kullan\u0131m\u0131n\u0131 hakl\u0131 \u00e7\u0131karacak kadar b\u00fcy\u00fck olmas\u0131 gerekti\u011fini unutmay\u0131n.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Wilcoxon \u0130\u015faretli S\u0131ralama Testi Nas\u0131l Yap\u0131l\u0131r?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek Wilcoxon \u0130\u015faretli S\u0131ralama testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6stermektedir.<\/span><\/p>\n<blockquote>\n<p> <span style=\"color: #000000;\">Bir basketbol ko\u00e7u, belirli bir antrenman program\u0131n\u0131n oyuncular\u0131n\u0131n att\u0131\u011f\u0131 serbest at\u0131\u015f say\u0131s\u0131n\u0131 art\u0131r\u0131p art\u0131rmad\u0131\u011f\u0131n\u0131 bilmek istiyor. Bunu test etmek i\u00e7in 15 oyuncudan antrenman program\u0131 \u00f6ncesinde ve sonras\u0131nda 20&#8217;\u015fer serbest at\u0131\u015f yapmalar\u0131n\u0131 istedi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her oyuncu kendisiyle &#8220;e\u015fle\u015ftirilebildi\u011finden&#8221; ko\u00e7, antrenman program\u0131 \u00f6ncesinde ve sonras\u0131nda at\u0131lan ortalama serbest at\u0131\u015f say\u0131s\u0131 aras\u0131nda anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in e\u015fle\u015ftirilmi\u015f bir t-testi kullanmay\u0131 planlad\u0131. e\u011fitim.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak farkl\u0131l\u0131klar\u0131n da\u011f\u0131l\u0131m\u0131n\u0131n normal olmad\u0131\u011f\u0131 ortaya \u00e7\u0131k\u0131yor ve bu nedenle antren\u00f6r bunun yerine Wilcoxon i\u015faretli s\u0131ralama testini kullan\u0131yor.<\/span><\/p>\n<\/blockquote>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo, antrenman program\u0131 \u00f6ncesinde ve sonras\u0131nda 15 oyuncunun her birinin yapt\u0131\u011f\u0131 (20 denemeden) serbest at\u0131\u015f say\u0131s\u0131n\u0131 g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5403 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/wilcox1-1.png\" alt=\"Wilcoxon \u0130\u015faretli S\u0131ralama testi i\u00e7in \u00f6rnek veri k\u00fcmesi\" width=\"243\" height=\"358\" srcset=\"\" sizes=\"auto, \"><\/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;\">H <sub>0<\/sub> : \u0130ki grup aras\u0131ndaki medyan fark s\u0131f\u0131rd\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">H <sub>A<\/sub> : Ortanca fark negatiftir. (\u00f6rne\u011fin oyuncular antrenman program\u0131na kat\u0131lmadan \u00f6nce daha az serbest at\u0131\u015f kullan\u0131rlar)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Her bir \u00e7ift i\u00e7in fark\u0131 ve mutlak fark\u0131 bulun.<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5404 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/wilcox2.png\" alt=\"Wilcoxon \u0130\u015faretli S\u0131ra testi i\u00e7in farklar\u0131n hesaplanmas\u0131\" width=\"416\" height=\"345\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 3: \u00c7iftleri mutlak farklara g\u00f6re s\u0131ralay\u0131n ve en k\u00fc\u00e7\u00fckten en b\u00fcy\u00fc\u011fe mutlak farka do\u011fru bir s\u0131ra atay\u0131n. <em>Mutlak fark\u0131 &#8220;0&#8221; olan \u00e7iftleri g\u00f6z ard\u0131 edin ve e\u015fitlik durumunda ortalama s\u0131ralar\u0131 atay\u0131n.<\/em><\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5406 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/wilcox3.png\" alt=\"Wilcoxon imzal\u0131 s\u0131ralama testi \u00f6rne\u011fi\" width=\"461\" height=\"324\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: Pozitif s\u0131ralar\u0131n ve negatif s\u0131ralar\u0131n toplam\u0131n\u0131 bulun.<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-8416 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/wilcox7-1.png\" alt=\"Elle yaz\u0131lm\u0131\u015f Wilcoxon imzal\u0131 s\u0131ralama testi\" width=\"655\" height=\"336\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: S\u0131f\u0131r hipotezini reddedin veya reddetmeyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fi W, pozitif s\u0131ralar\u0131n ve negatif s\u0131ralar\u0131n mutlak de\u011ferlerinin en k\u00fc\u00e7\u00fc\u011f\u00fcd\u00fcr. Bu durumda en k\u00fc\u00e7\u00fck de\u011fer 29,5&#8217;tir. Yani test istatisti\u011fimiz W = <strong>29,5<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131f\u0131r hipotezini reddedip reddetmememiz gerekti\u011fini belirlemek i\u00e7in Wilcoxon i\u015faretli s\u0131ra testi kritik de\u011fer tablosunda bulunan ve <em>n&#8217;ye<\/em> ve se\u00e7ilen alfa d\u00fczeyine kar\u015f\u0131l\u0131k gelen kritik de\u011fere ba\u015fvurabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fimiz W, tablodaki kritik de\u011ferden <em>k\u00fc\u00e7\u00fck veya ona e\u015fitse<\/em> s\u0131f\u0131r hipotezini reddedebiliriz. Aksi halde s\u0131f\u0131r hipotezini reddetmede ba\u015far\u0131s\u0131z oluruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">0,05 alfa d\u00fczeyine ve n = 13&#8217;e kar\u015f\u0131l\u0131k gelen kritik de\u011fer (toplam \u00e7ift say\u0131s\u0131ndan, g\u00f6zlenen fark\u0131 0 oldu\u011fu i\u00e7in s\u0131ras\u0131n\u0131 hesaplamad\u0131\u011f\u0131m\u0131z iki \u00e7iftin toplam\u0131 hari\u00e7) <strong>17&#8217;dir<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-5415 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/wilcox6.png\" alt=\"Wilcoxon \u0130\u015faretli S\u0131ralama testi i\u00e7in kritik de\u011ferler tablosu \u00f6rne\u011fi\" width=\"392\" height=\"517\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fimiz (W = 29,5) 17&#8217;den k\u00fc\u00e7\u00fck veya ona e\u015fit olmad\u0131\u011f\u0131 i\u00e7in s\u0131f\u0131r hipotezini reddetmede ba\u015far\u0131s\u0131z oluyoruz. Antrenman program\u0131n\u0131n oyuncular\u0131n kulland\u0131\u011f\u0131 serbest at\u0131\u015f say\u0131s\u0131nda \u00f6nemli bir art\u0131\u015fa yol a\u00e7t\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\"><strong>Not:<\/strong> Testi elle yapmak yerine hesap makinesi kullanarak yapmak istiyorsan\u0131z <a href=\"https:\/\/statorials.org\/tr\/wilcoxon-isaret-yerlestirme-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Wilcoxon \u0130\u015faretli S\u0131ralama Testi Hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullan\u0131n.<\/span><\/em><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Wilcoxon i\u015faretli s\u0131ra testi, e\u015fle\u015ftirilmi\u015f t testinin parametrik olmayan versiyonudur. \u0130ki pop\u00fclasyon ortalamas\u0131 aras\u0131nda anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r. Wilcoxon imzal\u0131 s\u0131ralama testi ne zaman kullan\u0131lmal\u0131? E\u015fle\u015ftirilmi\u015f t testini kullanmak istedi\u011finizde Wilcoxon \u0130\u015faretli S\u0131ralama testini kullan\u0131n ancak \u00e7iftler aras\u0131ndaki farklar\u0131n da\u011f\u0131l\u0131m\u0131 ciddi \u015fekilde normal olmayan bir da\u011f\u0131l\u0131ma sahiptir . Farkl\u0131l\u0131klar\u0131n normal [&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-591","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>Wilcoxon \u0130\u015faretli S\u0131ralama Testi Nas\u0131l Ger\u00e7ekle\u015ftirilir?<\/title>\n<meta name=\"description\" content=\"Wilcoxon i\u015faretli s\u0131ralama testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin basit bir a\u00e7\u0131klama, ad\u0131m ad\u0131m bir \u00f6rnekle birlikte.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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