{"id":422,"date":"2023-07-30T01:30:00","date_gmt":"2023-07-30T01:30:00","guid":{"rendered":"https:\/\/statorials.org\/tr\/mann-whitney-seni-test-ediyor\/"},"modified":"2023-07-30T01:30:00","modified_gmt":"2023-07-30T01:30:00","slug":"mann-whitney-seni-test-ediyor","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/mann-whitney-seni-test-ediyor\/","title":{"rendered":"Mann-whitney u testi"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00d6rnek da\u011f\u0131l\u0131mlar\u0131 normal da\u011f\u0131lmad\u0131\u011f\u0131nda ve \u00f6rnek boyutlar\u0131 k\u00fc\u00e7\u00fck oldu\u011funda (n &lt; 30) iki ba\u011f\u0131ms\u0131z \u00f6rnek aras\u0131ndaki farklar\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in bir <strong>Mann-Whitney U testi<\/strong> (bazen Wilcoxon s\u0131ralama toplam\u0131 testi olarak da adland\u0131r\u0131l\u0131r) kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ba\u011f\u0131ms\u0131z iki \u00f6rnekli t testinin parametrik olmayan e\u015fde\u011feri olarak kabul edilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mann-Whitney U testini ne zaman kullanabilece\u011finize dair baz\u0131 \u00f6rnekler:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">A \u00fcniversitesinden be\u015f mezunun maa\u015flar\u0131n\u0131 B \u00fcniversitesinden be\u015f mezunun maa\u015flar\u0131yla kar\u015f\u0131la\u015ft\u0131rmak istiyorsunuz. Maa\u015flar normal da\u011f\u0131lm\u0131yor.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Kilo kayb\u0131n\u0131n iki grup i\u00e7in de\u011fi\u015fip de\u011fi\u015fmedi\u011fini bilmek istiyorsunuz: A diyetini kullanan 12 ki\u015fi ve B diyetini kullanan 10 ki\u015fi. Kilo kayb\u0131 normal \u015fekilde da\u011f\u0131lm\u0131yor.<\/span><\/li>\n<li> <span style=\"color: #000000;\">A s\u0131n\u0131f\u0131ndaki 8 \u00f6\u011frencinin puanlar\u0131n\u0131n B s\u0131n\u0131f\u0131ndaki 7 \u00f6\u011frencinin puanlar\u0131ndan farkl\u0131 olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyorsunuz. Puanlar normal da\u011f\u0131lm\u0131yor.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Her \u00f6rnekte iki grubu kar\u015f\u0131la\u015ft\u0131rmak istiyorsunuz; \u00f6rnekleme da\u011f\u0131l\u0131mlar\u0131 normal de\u011fil ve \u00f6rneklem boyutlar\u0131 k\u00fc\u00e7\u00fck.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu nedenle a\u015fa\u011f\u0131daki varsay\u0131mlar kar\u015f\u0131land\u0131\u011f\u0131 s\u00fcrece Mann-Whitney U testi uygundur.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">Mann-Whitney U Testi Varsay\u0131mlar\u0131<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Mann-Whitney U testini ger\u00e7ekle\u015ftirmeden \u00f6nce a\u015fa\u011f\u0131daki d\u00f6rt varsay\u0131m\u0131n kar\u015f\u0131land\u0131\u011f\u0131ndan emin olmal\u0131s\u0131n\u0131z:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>S\u0131radan veya s\u00fcrekli:<\/strong> Analiz etti\u011finiz de\u011fi\u015fken s\u0131ral\u0131 veya s\u00fcreklidir. S\u0131ral\u0131 de\u011fi\u015fkenlerin \u00f6rnekleri aras\u0131nda Likert maddeleri (\u00f6rne\u011fin, &#8220;kesinlikle kat\u0131lm\u0131yorum&#8221; ile &#8220;kesinlikle kat\u0131l\u0131yorum&#8221; aras\u0131nda de\u011fi\u015fen 5 puanl\u0131k bir \u00f6l\u00e7ek) yer al\u0131r. S\u00fcrekli de\u011fi\u015fkenlerin \u00f6rnekleri aras\u0131nda boy (in\u00e7 olarak \u00f6l\u00e7\u00fcl\u00fcr), a\u011f\u0131rl\u0131k (pound olarak \u00f6l\u00e7\u00fcl\u00fcr) veya test puanlar\u0131 (0 ile 100 aras\u0131nda \u00f6l\u00e7\u00fcl\u00fcr) yer al\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Ba\u011f\u0131ms\u0131zl\u0131k:<\/strong> Her iki grubun t\u00fcm g\u00f6zlemleri birbirinden ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u015eekil:<\/strong> Her iki grubun da\u011f\u0131l\u0131m \u015fekilleri yakla\u015f\u0131k olarak ayn\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu varsay\u0131mlar kar\u015f\u0131lan\u0131rsa Mann-Whitney U testi yap\u0131labilir.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">Mann-Whitney U Testi Nas\u0131l Yap\u0131l\u0131r?<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Mann-Whitney U testini ger\u00e7ekle\u015ftirmek i\u00e7in standart be\u015f ad\u0131ml\u0131 hipotez testi prosed\u00fcr\u00fcn\u00fc takip ediyoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Varsay\u0131mlar\u0131 belirtin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7o\u011fu durumda Mann-Whitney U testi iki kuyruklu bir test olarak ger\u00e7ekle\u015ftirilir. Bo\u015f ve alternatif hipotezler \u015fu \u015fekilde yaz\u0131lm\u0131\u015ft\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u0130ki pop\u00fclasyon e\u015fittir<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>a<\/sub> :<\/strong> \u0130ki pop\u00fclasyon e\u015fit de\u011fil<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Hipotez i\u00e7in kullan\u0131lacak bir \u00f6nem d\u00fczeyi belirleyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir \u00f6nem d\u00fczeyine karar verin. Ortak se\u00e7enekler 0,01, 0,05 ve 0,1&#8217;dir.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Test istatisti\u011fini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fi U ile g\u00f6sterilir ve a\u015fa\u011f\u0131da tan\u0131mland\u0131\u011f\u0131 gibi U <sub>1<\/sub> ve U <sub>2&#8217;den<\/sub> k\u00fc\u00e7\u00fckt\u00fcr:<\/span><\/p>\n<p> <span style=\"color: #000000;\">U <sub>1<\/sub> = n <sub>1<\/sub> n <sub>2<\/sub> + n <sub>1<\/sub> (n <sub>1<\/sub> +1)\/2 \u2013 R <sub>1<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">U <sub>2<\/sub> = n <sub>1<\/sub> n <sub>2<\/sub> + n <sub>2<\/sub> (n <sub>2<\/sub> +1)\/2 \u2013 R <sub>2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">burada <sub>n1<\/sub> ve <sub>n2<\/sub> s\u0131ras\u0131yla numune 1 ve 2&#8217;nin numune boyutlar\u0131d\u0131r ve <sub>R1<\/sub> ve <sub>R2<\/sub> s\u0131ras\u0131yla numune 1 ve 2&#8217;nin s\u0131ralar\u0131n\u0131n toplam\u0131d\u0131r.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler bu test istatisti\u011finin nas\u0131l bulunaca\u011f\u0131n\u0131 ayr\u0131nt\u0131l\u0131 olarak g\u00f6sterecektir.<\/span><\/em><\/p>\n<p> <span style=\"color: #000000;\"><strong>4. S\u0131f\u0131r hipotezini reddedin veya reddetmeyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatistiklerini kullanarak, Mann-Whitney U tablosunda bulunan anlaml\u0131l\u0131k d\u00fczeyi ve kritik de\u011fere dayal\u0131 olarak s\u0131f\u0131r hipotezini reddedip reddedemeyece\u011finizi belirleyin.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>5. Sonu\u00e7lar\u0131 yorumlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Test sonu\u00e7lar\u0131n\u0131 sorulan soru ba\u011flam\u0131nda yorumlay\u0131n.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">Mann-Whitney U testi ger\u00e7ekle\u015ftirme \u00f6rnekleri<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler Mann-Whitney U testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00f6rnek 1<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Yeni bir ilac\u0131n panik ata\u011f\u0131 \u00f6nlemede etkili olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyoruz. Toplam 12 hasta rastgele 6 ki\u015filik iki gruba b\u00f6l\u00fcn\u00fcyor ve yeni ilac\u0131 veya plaseboyu almak \u00fczere g\u00f6revlendiriliyor. Hastalar daha sonra bir ay boyunca ya\u015fad\u0131klar\u0131 panik atak say\u0131s\u0131n\u0131 kaydederler.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sonu\u00e7lar a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span><\/p>\n<div style=\"width: 50%;\">\n<table>\n<thead>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\">YEN\u0130 \u0130LA\u00c7<\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\">PLASEBO<\/span><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">3<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">4<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">5<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">8<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">6<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">4<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">2<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">3<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">1<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">5<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">9<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p> <span style=\"color: #000000;\"><em><strong>Yeni ila\u00e7 grubuyla kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda plasebo grubundaki hastalar aras\u0131nda panik atak say\u0131s\u0131nda bir fark olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in Mann-Whitney U testi yap\u0131n. 0,05 anlaml\u0131l\u0131k d\u00fczeyini kullan\u0131n.<\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Varsay\u0131mlar\u0131 belirtin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u0130ki pop\u00fclasyon e\u015fittir<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>a<\/sub> :<\/strong> \u0130ki pop\u00fclasyon e\u015fit de\u011fil<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Hipotez i\u00e7in kullan\u0131lacak bir \u00f6nem d\u00fczeyi belirleyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sorun bize 0,05 anlaml\u0131l\u0131k d\u00fczeyini kullanmam\u0131z gerekti\u011fini s\u00f6yl\u00fcyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Test istatisti\u011fini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011finin U olarak g\u00f6sterildi\u011fini ve a\u015fa\u011f\u0131da tan\u0131mland\u0131\u011f\u0131 gibi U <sub>1<\/sub> ve U <sub>2&#8217;den<\/sub> daha k\u00fc\u00e7\u00fck oldu\u011funu hat\u0131rlay\u0131n:<\/span><\/p>\n<p> <span style=\"color: #000000;\">U <sub>1<\/sub> = n <sub>1<\/sub> n <sub>2<\/sub> + n <sub>1<\/sub> (n <sub>1<\/sub> +1)\/2 \u2013 R <sub>1<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">U <sub>2<\/sub> = n <sub>1<\/sub> n <sub>2<\/sub> + n <sub>2<\/sub> (n <sub>2<\/sub> +1)\/2 \u2013 R <sub>2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">burada <sub>n1<\/sub> ve <sub>n2<\/sub> s\u0131ras\u0131yla numune 1 ve 2&#8217;nin numune boyutlar\u0131d\u0131r ve <sub>R1<\/sub> ve <sub>R2<\/sub> s\u0131ras\u0131yla numune 1 ve 2&#8217;nin s\u0131ralar\u0131n\u0131n toplam\u0131d\u0131r.<\/span><\/p>\n<p> R1 ve R2&#8217;yi <span style=\"color: #000000;\">bulmak i\u00e7in<\/span> <span style=\"color: #000000;\"><sub>her<\/sub> <sub>iki<\/sub> gruptan g\u00f6zlemleri birle\u015ftirmemiz ve bunlar\u0131 k\u00fc\u00e7\u00fckten b\u00fcy\u00fc\u011fe do\u011fru s\u0131ralamam\u0131z gerekir:<\/span><\/p>\n<div style=\"width: 50%;\">\n<table>\n<thead>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #008080;\">YEN\u0130 \u0130LA\u00c7<\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #ff0000;\">PLASEBO<\/span><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>3<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>4<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>5<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>8<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>1<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>6<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>4<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>2<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>3<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>1<\/strong><\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>5<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #ff0000;\"><strong>9<\/strong><\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p> <span style=\"color: #000000;\"><strong>Toplam \u00f6rnek: <span style=\"color: #008080;\">1<\/span> , <span style=\"color: #ff0000;\">1<\/span> , <span style=\"color: #ff0000;\">2<\/span> , <span style=\"color: #008080;\">3<\/span> , <span style=\"color: #008080;\">3<\/span> , <span style=\"color: #ff0000;\">4<\/span> , <span style=\"color: #008080;\">4<\/span> , <span style=\"color: #008080;\">5<\/span> , <span style=\"color: #008080;\">5<\/span> , <span style=\"color: #ff0000;\">6<\/span> , <span style=\"color: #ff0000;\">8<\/span> , <span style=\"color: #ff0000;\">9<\/span><\/strong><\/span><\/p>\n<div>\n<p> <span style=\"color: #000000;\"><strong>S\u0131ralar: <span style=\"color: #008080;\">1,5<\/span> , <span style=\"color: #ff0000;\">1,5<\/span> , <span style=\"color: #ff0000;\">3<\/span> , <span style=\"color: #008080;\">4,5<\/span> , <span style=\"color: #008080;\">4,5<\/span> , <span style=\"color: #ff0000;\">6,5<\/span> , <span style=\"color: #008080;\">6,5<\/span> , <span style=\"color: #008080;\">8,5<\/span> , <span style=\"color: #008080;\">8,5<\/span> , <span style=\"color: #ff0000;\">10<\/span> , <span style=\"color: #ff0000;\">11<\/span> , <span style=\"color: #ff0000;\">12<\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #008080;\"><strong>R <sub>1<\/sub><\/strong><\/span> <span style=\"color: #000000;\">= \u00f6rnek 1 i\u00e7in s\u0131ralar\u0131n toplam\u0131 = 1,5+4,5+4,5+6,5+8,5+8,5 = 34<\/span><\/p>\n<p> <span style=\"color: #ff0000;\"><strong>R <sub>2<\/sub><\/strong><\/span> <span style=\"color: #000000;\">= \u00f6rnek 2 i\u00e7in s\u0131ralar\u0131n toplam\u0131 = 1,5+3+6,5+10+11+12 = 44<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, U <sub>1<\/sub> ve U <sub>2&#8217;yi<\/sub> bulmak i\u00e7in \u00f6rnek b\u00fcy\u00fckl\u00fcklerimizi n <sub>1<\/sub> ve n <sub>2&#8217;nin<\/sub> yan\u0131 s\u0131ra s\u0131ra toplam\u0131m\u0131z R <sub>1<\/sub> ve R <sub>2&#8217;yi<\/sub> kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>U1<\/sub> = 6(6) + 6(6+1)\/2 \u2013 34 = 23<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>U2<\/sub> = 6(6) + 6(6+1)\/2 \u2013 44 = 13<\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatistiklerimiz <sub>U1<\/sub> ve <sub>U2&#8217;den<\/sub> k\u00fc\u00e7\u00fck olan\u0131d\u0131r ve U=13 olur.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\">Not: U = 13&#8217;\u00fc belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/mann-whitney-u-test-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Mann-Whitney U testi hesaplay\u0131c\u0131s\u0131n\u0131<\/a> da kullanabiliriz.<\/span><\/em><\/p>\n<\/div>\n<p> <span style=\"color: #000000;\"><strong>4. S\u0131f\u0131r hipotezini reddedin veya reddetmeyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Mann-Whitney U tablosu, n <sub>1<\/sub> = 6 ve n <sub>2<\/sub> = 6&#8217;y\u0131 0,05 anlaml\u0131l\u0131k d\u00fczeyinde kullanarak kritik de\u011ferin 5 oldu\u011funu s\u00f6yler:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1381 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mw_ex1.png\" alt=\"Mann Whitney U Testi Kritik De\u011fer Tablosu\" width=\"544\" height=\"401\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fimiz (13) kritik de\u011ferimizden (5) b\u00fcy\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddedemiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>5. Sonu\u00e7lar\u0131 yorumlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131f\u0131r hipotezini reddetmeyi ba\u015faramad\u0131\u011f\u0131m\u0131z i\u00e7in, plasebo grubundaki hastalar\u0131n ya\u015fad\u0131\u011f\u0131 panik atak say\u0131s\u0131n\u0131n yeni ila\u00e7 grubundakilerden farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir hafta boyunca g\u00fcnde 30 dakika \u00e7al\u0131\u015fman\u0131n \u00f6\u011frencilerin s\u0131navda daha iyi performans g\u00f6stermelerine yard\u0131mc\u0131 olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyoruz. Toplam 15 hasta rastgele \u00e7al\u0131\u015fma grubuna veya \u00e7al\u0131\u015fma grubuna atanmad\u0131. Bir hafta sonra t\u00fcm \u00f6\u011frenciler ayn\u0131 s\u0131nava girer.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Her iki gruba ait test sonu\u00e7lar\u0131 a\u015fa\u011f\u0131da g\u00f6sterilmi\u015ftir:<\/span><\/p>\n<div style=\"width: 50%;\">\n<table>\n<thead>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\">\u00c7ALI\u015eMAK<\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\">\u00c7ALI\u015eMAK YOK<\/span><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">89<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">88<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">92<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">93<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">94<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">95<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">96<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">75<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">91<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">72<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">99<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">80<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">84<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">81<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">90<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p> <span style=\"color: #000000;\"><em><strong>\u00c7al\u0131\u015fmayan gruba k\u0131yasla \u00e7al\u0131\u015fma grubunun test puanlar\u0131nda bir fark olup olmad\u0131\u011f\u0131n\u0131 g\u00f6rmek i\u00e7in Mann-Whitney U testi yap\u0131n. 0,01 anlaml\u0131l\u0131k d\u00fczeyini kullan\u0131n.<\/strong><\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Varsay\u0131mlar\u0131 belirtin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> \u0130ki pop\u00fclasyon e\u015fittir<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>H <sub>a<\/sub> :<\/strong> \u0130ki pop\u00fclasyon e\u015fit de\u011fil<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Hipotez i\u00e7in kullan\u0131lacak bir \u00f6nem d\u00fczeyi belirleyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Sorun bize 0,01 anlaml\u0131l\u0131k d\u00fczeyini kullanmam\u0131z gerekti\u011fini s\u00f6yl\u00fcyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. Test istatisti\u011fini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011finin U olarak g\u00f6sterildi\u011fini ve a\u015fa\u011f\u0131da tan\u0131mland\u0131\u011f\u0131 gibi U <sub>1<\/sub> ve U <sub>2&#8217;den<\/sub> daha k\u00fc\u00e7\u00fck oldu\u011funu hat\u0131rlay\u0131n:<\/span><\/p>\n<p> <span style=\"color: #000000;\">U <sub>1<\/sub> = n <sub>1<\/sub> n <sub>2<\/sub> + n <sub>1<\/sub> (n <sub>1<\/sub> +1)\/2 \u2013 R <sub>1<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">U <sub>2<\/sub> = n <sub>1<\/sub> n <sub>2<\/sub> + n <sub>2<\/sub> (n <sub>2<\/sub> +1)\/2 \u2013 R <sub>2<\/sub><\/span><\/p>\n<p> <span style=\"color: #000000;\">burada <sub>n1<\/sub> ve <sub>n2<\/sub> s\u0131ras\u0131yla numune 1 ve 2&#8217;nin numune boyutlar\u0131d\u0131r ve <sub>R1<\/sub> ve <sub>R2<\/sub> s\u0131ras\u0131yla numune 1 ve 2&#8217;nin s\u0131ralar\u0131n\u0131n toplam\u0131d\u0131r.<\/span><\/p>\n<p> R1 ve R2&#8217;yi <span style=\"color: #000000;\">bulmak i\u00e7in<\/span> <span style=\"color: #000000;\"><sub>her<\/sub> <sub>iki<\/sub> gruptan g\u00f6zlemleri birle\u015ftirmemiz ve bunlar\u0131 k\u00fc\u00e7\u00fckten b\u00fcy\u00fc\u011fe do\u011fru s\u0131ralamam\u0131z gerekir:<\/span><\/p>\n<div style=\"width: 50%;\">\n<table>\n<thead>\n<tr>\n<th style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">\u00c7ALI\u015eMAK<\/span><\/strong><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #ff0000;\">\u00c7ALI\u015eMAK YOK<\/span><\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #008080;\"><strong>89<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">88<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">92<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">93<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">94<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">95<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">96<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">75<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">91<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">72<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">99<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">80<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">84<\/span><\/strong><\/td>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #ff0000;\">81<\/span><\/strong><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <strong><span style=\"color: #008080;\">90<\/span><\/strong><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">Toplam \u00f6rnek: <span style=\"color: #ff0000;\">72<\/span> , <span style=\"color: #ff0000;\">75<\/span> <span style=\"color: #008080;\">,<\/span> <span style=\"color: #ff0000;\">80<\/span> , 81, 84, <span style=\"color: #ff0000;\">88<\/span> , <span style=\"color: #008080;\">89<\/span> , <span style=\"color: #ff0000;\">90<\/span> , <span style=\"color: #008080;\">91<\/span> , <span style=\"color: #008080;\">92<\/span> , <span style=\"color: #008080;\">93<\/span> , <span style=\"color: #008080;\">94<\/span> , <span style=\"color: #ff0000;\">95<\/span> , <span style=\"color: #008080;\">96<\/span> <span style=\"color: #008080;\">,<\/span> <span style=\"color: #ff0000;\">99<\/span><\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\">Sat\u0131rlar: <span style=\"color: #ff0000;\">1<\/span> , <span style=\"color: #ff0000;\">2<\/span> , <span style=\"color: #ff0000;\">3<\/span> , <span style=\"color: #ff0000;\">4<\/span> , <span style=\"color: #008080;\">5<\/span> , <span style=\"color: #ff0000;\">6<\/span> , <span style=\"color: #008080;\">7<\/span> , <span style=\"color: #008080;\">8<\/span> , <span style=\"color: #008080;\">9<\/span> , <span style=\"color: #008080;\">10<\/span> , <span style=\"color: #ff0000;\">11<\/span> , <span style=\"color: #008080;\">12<\/span> , <span style=\"color: #ff0000;\">13<\/span> , <span style=\"color: #008080;\">14<\/span> , <span style=\"color: #008080;\">15<\/span><\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #008080;\"><strong>R <sub>1<\/sub><\/strong><\/span> <span style=\"color: #000000;\">= \u00f6rnek 1 i\u00e7in s\u0131ralar\u0131n toplam\u0131 = 5+7+8+9+10+12+14+15 = 80<\/span><\/p>\n<p> <span style=\"color: #ff0000;\"><strong>R <sub>2<\/sub><\/strong><\/span> <span style=\"color: #000000;\">= \u00f6rnek 2 i\u00e7in s\u0131ralar\u0131n toplam\u0131 = 1+2+3+4+6+11+13 = 40<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, U <sub>1<\/sub> ve U <sub>2&#8217;yi<\/sub> bulmak i\u00e7in \u00f6rnek b\u00fcy\u00fckl\u00fcklerimizi n <sub>1<\/sub> ve n <sub>2&#8217;nin<\/sub> yan\u0131 s\u0131ra s\u0131ra toplam\u0131m\u0131z R <sub>1<\/sub> ve R <sub>2&#8217;yi<\/sub> kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>U1<\/sub> = 8(7) + 8(8+1)\/2 \u2013 80 = 12<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>U2<\/sub> = 8(7) + 7(7+1)\/2 \u2013 40 = 44<\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatistiklerimiz <sub>U1<\/sub> ve <sub>U2&#8217;den<\/sub> k\u00fc\u00e7\u00fck olan\u0131d\u0131r ve U=12 olur.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\">Not: U = 12 oldu\u011funu belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/mann-whitney-u-test-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Mann-Whitney U testi hesaplay\u0131c\u0131s\u0131n\u0131<\/a> da kullanabiliriz.<\/span><\/em><\/p>\n<p> <span style=\"color: #000000;\"><strong>4. S\u0131f\u0131r hipotezini reddedin veya reddetmeyin.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">n <sub>1<\/sub> = 8 ve n <sub>2<\/sub> = 7&#8217;yi 0,01 anlaml\u0131l\u0131k d\u00fczeyinde kullanarak Mann-Whitney U tablosu bize kritik de\u011ferin 6 oldu\u011funu s\u00f6yler:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-1383 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mw_ex2.png\" alt=\"Mann Whitney U Testi Kritik De\u011fer Tablosu\" width=\"544\" height=\"401\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fimiz (12) kritik de\u011ferimizden (6) b\u00fcy\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddedemiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>5. Sonu\u00e7lar\u0131 yorumlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">S\u0131f\u0131r hipotezini reddetmeyi ba\u015faramad\u0131\u011f\u0131m\u0131z i\u00e7in, ders \u00e7al\u0131\u015fan \u00f6\u011frencilerin test puanlar\u0131n\u0131n \u00e7al\u0131\u015fmayan \u00f6\u011frencilerin test puanlar\u0131ndan farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n<h2> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h2>\n<p> <a href=\"https:\/\/statorials.org\/tr\/mann-whitney-u-test-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener\">Mann-Whitney U Testi Hesaplay\u0131c\u0131<\/a><br \/> Mann-Whitney U Masas\u0131<br \/> <a href=\"https:\/\/statorials.org\/tr\/excelde-mann-whitney-u-testi-nasil-yapilir\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Mann-Whitney U Testi Nas\u0131l Yap\u0131l\u0131r<\/a><br \/>R&#8217;de Mann-Whitney U testi nas\u0131l yap\u0131l\u0131r?<br \/> <a href=\"https:\/\/statorials.org\/tr\/mann-whitney-pythonu-test-ediyorsun\/\">Python&#8217;da Mann-Whitney U Testi Nas\u0131l Yap\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/mann-whitney-spssyi-test-ediyorsun\/\" target=\"_blank\" rel=\"noopener\">SPSS&#8217;de Mann-Whitney U Testi Nas\u0131l Yap\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/mann-whitney-durumunu-test-ettin\/\" target=\"_blank\" rel=\"noopener\">Stata&#8217;da Mann-Whitney U testi nas\u0131l yap\u0131l\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00d6rnek da\u011f\u0131l\u0131mlar\u0131 normal da\u011f\u0131lmad\u0131\u011f\u0131nda ve \u00f6rnek boyutlar\u0131 k\u00fc\u00e7\u00fck oldu\u011funda (n &lt; 30) iki ba\u011f\u0131ms\u0131z \u00f6rnek aras\u0131ndaki farklar\u0131 kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in bir Mann-Whitney U testi (bazen Wilcoxon s\u0131ralama toplam\u0131 testi olarak da adland\u0131r\u0131l\u0131r) kullan\u0131l\u0131r. Ba\u011f\u0131ms\u0131z iki \u00f6rnekli t testinin parametrik olmayan e\u015fde\u011feri olarak kabul edilir. Mann-Whitney U testini ne zaman kullanabilece\u011finize dair baz\u0131 \u00f6rnekler: A \u00fcniversitesinden be\u015f [&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-422","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>Mann-Whitney U testi - Stat\u00fcler<\/title>\n<meta name=\"description\" content=\"Mann-Whitney U testinin nas\u0131l yap\u0131laca\u011f\u0131na dair birka\u00e7 \u00f6rnek i\u00e7eren 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\/mann-whitney-seni-test-ediyor\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Mann-Whitney U testi - Stat\u00fcler\" \/>\n<meta property=\"og:description\" content=\"Mann-Whitney U testinin nas\u0131l yap\u0131laca\u011f\u0131na dair birka\u00e7 \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klama.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/mann-whitney-seni-test-ediyor\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-30T01:30:00+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mw_ex1.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"7 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/mann-whitney-seni-test-ediyor\/\",\"url\":\"https:\/\/statorials.org\/tr\/mann-whitney-seni-test-ediyor\/\",\"name\":\"Mann-Whitney U testi - Stat\u00fcler\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-30T01:30:00+00:00\",\"dateModified\":\"2023-07-30T01:30:00+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Mann-Whitney U testinin nas\u0131l yap\u0131laca\u011f\u0131na dair birka\u00e7 \u00f6rnek i\u00e7eren basit bir a\u00e7\u0131klama.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/mann-whitney-seni-test-ediyor\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/mann-whitney-seni-test-ediyor\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/mann-whitney-seni-test-ediyor\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Mann-whitney u testi\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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