{"id":1043,"date":"2023-07-27T21:14:19","date_gmt":"2023-07-27T21:14:19","guid":{"rendered":"https:\/\/statorials.org\/tr\/dunnett-testi\/"},"modified":"2023-07-27T21:14:19","modified_gmt":"2023-07-27T21:14:19","slug":"dunnett-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/dunnett-testi\/","title":{"rendered":"\u00c7oklu kar\u015f\u0131la\u015ft\u0131rmalar i\u00e7in dunnett testi nas\u0131l kullan\u0131l\u0131r?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u00dc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener noreferrer\">ANOVA (Varyans Analizi)<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n<p> ANOVA&#8217;n\u0131n p de\u011feri se\u00e7ilen belirli bir anlaml\u0131l\u0131k d\u00fczeyinin <span style=\"color: #000000;\">alt\u0131ndaysa<\/span> <span style=\"color: #000000;\">s\u0131f\u0131r hipotezini reddedebilir ve grup ortalamalar\u0131ndan en az birinin di\u011ferlerinden farkl\u0131 oldu\u011funu s\u00f6ylemek i\u00e7in yeterli kan\u0131t\u0131m\u0131z oldu\u011fu sonucuna varabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak bu bize <em>hangi<\/em> gruplar\u0131n birbirinden farkl\u0131 oldu\u011funu s\u00f6ylemez. Bu bize basit\u00e7e t\u00fcm grup ortalamalar\u0131n\u0131n e\u015fit olmad\u0131\u011f\u0131n\u0131 s\u00f6yler. Hangi gruplar\u0131n birbirinden farkl\u0131 oldu\u011funu tam olarak bilmek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/post-hoc-anova-testleri\/\" target=\"_blank\" rel=\"noopener noreferrer\">post-hoc test<\/a> yapmam\u0131z gerekiyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00c7al\u0131\u015fmadaki gruplardan biri <em>kontrol grubu<\/em> olarak kabul edilirse ANOVA sonras\u0131nda post-hoc test olarak <strong>Dunnett testini<\/strong> kullanmal\u0131y\u0131z.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dunnett testi: tan\u0131m<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Dunnett testini ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki iki ad\u0131m\u0131 kullanabiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Dunnett&#8217;in kritik de\u011ferini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6ncelikle Dunnett&#8217;in kritik de\u011ferini bulmam\u0131z gerekiyor. Bu \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Dunnett kritik de\u011feri: t <sub>d<\/sub> \u221a <span style=\"border-top: 1px solid black;\">2MS <sub>w<\/sub> \/n<\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>t <sub>d<\/sub> :<\/strong> Belirli bir alfa d\u00fczeyi, grup say\u0131s\u0131 ve grup \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc i\u00e7in Dunnett tablosunda bulunan de\u011fer.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>MS <sub>w<\/sub> :<\/strong> ANOVA \u00e7\u0131kt\u0131 tablosundaki \u201cgrup i\u00e7i\u201dnin ortalama kareleri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> Grup \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Grup ortalamalar\u0131 aras\u0131ndaki farklar\u0131 Dunnett&#8217;in kritik de\u011feriyle kar\u015f\u0131la\u015ft\u0131r\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra, her grubun ortalamas\u0131 ile kontrol grubunun ortalamas\u0131 aras\u0131ndaki mutlak fark\u0131 hesapl\u0131yoruz. E\u011fer fark Dunnett kritik de\u011ferini a\u015farsa bu fark\u0131n istatistiksel olarak anlaml\u0131 oldu\u011fu s\u00f6ylenir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek Dunnett testinin pratikte nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Dunnett testi: \u00f6rnek<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir \u00f6\u011fretmenin iki yeni \u00e7al\u0131\u015fma tekni\u011finin \u00f6\u011frencilerinin s\u0131nav puanlar\u0131n\u0131 iyile\u015ftirme potansiyeline sahip olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fini varsayal\u0131m. Bunu test etmek i\u00e7in 30 \u00f6\u011frenciden olu\u015fan s\u0131n\u0131f\u0131n\u0131 rastgele a\u015fa\u011f\u0131daki \u00fc\u00e7 gruba ay\u0131r\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Kontrol grubu: 10 \u00f6\u011frenci<\/span><\/li>\n<li> <span style=\"color: #000000;\">Yeni teknik \u00e7al\u0131\u015fma 1: 10 \u00f6\u011frenci<\/span><\/li>\n<li> <span style=\"color: #000000;\">Yeni teknik \u00e7al\u0131\u015fma 2: 10 \u00f6\u011frenci<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bir hafta kendilerine verilen \u00e7al\u0131\u015fma tekni\u011fini kulland\u0131ktan sonra her \u00f6\u011frenci ayn\u0131 s\u0131nava girer. Sonu\u00e7lar a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Kontrol grubunun ortalama s\u0131nav puan\u0131: <strong>81,6<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Yeni \u00e7al\u0131\u015fma tekni\u011fi grubu 1 i\u00e7in ortalama s\u0131nav puan\u0131: <strong>85,8<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">New Study Technique 2 grup s\u0131nav\u0131ndaki ortalama puan: <strong>87,7<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">ANOVA \u00e7\u0131kt\u0131 tablosundaki \u201cGrup \u0130\u00e7i\u201dnin ortalama kareleri: <strong>23,3<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu bilgiyle, iki yeni \u00e7al\u0131\u015fma tekni\u011finden birinin kontrol grubundan \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131 ortalama s\u0131nav puanlar\u0131 \u00fcretip \u00fcretmedi\u011fini belirlemek i\u00e7in Dunnett testini uygulayabiliriz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Dunnett&#8217;in kritik de\u011ferini bulun.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03b1 = 0,05, grup \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc n = 10 ve grup toplam\u0131 = 3 kullan\u0131ld\u0131\u011f\u0131nda, Dunnett tablosu bize kritik de\u011ferin hesaplanmas\u0131nda <strong>2,57<\/strong> de\u011ferini kullanmam\u0131z\u0131 s\u00f6yler.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10782 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/dunnets1.png\" alt=\"\u00c7oklu kar\u015f\u0131la\u015ft\u0131rmalar i\u00e7in Dunnett tablosunu kullanma \u00f6rne\u011fi\" width=\"410\" height=\"347\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra kritik Dunnett de\u011ferini bulmak i\u00e7in bu say\u0131y\u0131 form\u00fcle ekleyebiliriz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Dunnett&#8217;in kritik de\u011feri:<\/strong> t <sub>d<\/sub> \u221a <span style=\"border-top: 1px solid black;\">2MS <sub>w<\/sub> \/n<\/span> = 2,57\u221a <span style=\"border-top: 1px solid black;\">2(23,3)\/10<\/span> = <strong>5,548<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Grup ortalamalar\u0131 aras\u0131ndaki farklar\u0131 Dunnett&#8217;in kritik de\u011feriyle kar\u015f\u0131la\u015ft\u0131r\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Her \u00e7al\u0131\u015fma tekni\u011finin ortalamalar\u0131 ile kontrol grubunun ortalamalar\u0131 aras\u0131ndaki mutlak farklar a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Abs. yeni teknik 1 ile kontrol aras\u0131ndaki fark: |85.8 \u2013 81.6| = <strong>4,2<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Abs. yeni teknik 2 ile kontrol aras\u0131ndaki fark: |87.7 \u2013 81.6| = <strong>6.1<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Yaln\u0131zca teknik 2 ile kontrol grubu aras\u0131ndaki mutlak fark, Dunnett kritik de\u011feri olan <strong>5,548&#8217;den<\/strong> daha b\u00fcy\u00fckt\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dolay\u0131s\u0131yla yeni \u00e7al\u0131\u015fma tekni\u011fi #2&#8217;nin kontrol grubuna k\u0131yasla \u00f6nemli \u00f6l\u00e7\u00fcde farkl\u0131 s\u0131nav sonu\u00e7lar\u0131 \u00fcretti\u011fini s\u00f6yleyebiliriz ancak yeni \u00e7al\u0131\u015fma tekni\u011fi #1 i\u00e7in durum b\u00f6yle de\u011fil.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/tek-yonlu-anova\/\" target=\"_blank\" rel=\"noopener noreferrer\">Tek Y\u00f6nl\u00fc ANOVA&#8217;ya Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/post-hoc-anova-testleri\/\" target=\"_blank\" rel=\"noopener noreferrer\">ANOVA ile Post-Hoc Testini Kullanma K\u0131lavuzu<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/dunnetts-testi-r\/\">R&#8217;de Dunnett testi nas\u0131l yap\u0131l\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u00dc\u00e7 veya daha fazla ba\u011f\u0131ms\u0131z grubun ortalamalar\u0131 aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in ANOVA (Varyans Analizi) kullan\u0131l\u0131r. ANOVA&#8217;n\u0131n p de\u011feri se\u00e7ilen belirli bir anlaml\u0131l\u0131k d\u00fczeyinin alt\u0131ndaysa s\u0131f\u0131r hipotezini reddedebilir ve grup ortalamalar\u0131ndan en az birinin di\u011ferlerinden farkl\u0131 oldu\u011funu s\u00f6ylemek i\u00e7in yeterli kan\u0131t\u0131m\u0131z oldu\u011fu sonucuna varabiliriz. Ancak bu bize hangi gruplar\u0131n birbirinden [&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-1043","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>\u00c7oklu kar\u015f\u0131la\u015ft\u0131rmalar i\u00e7in Dunnett testi nas\u0131l kullan\u0131l\u0131r?<\/title>\n<meta name=\"description\" content=\"ANOVA&#039;n\u0131n ard\u0131ndan \u00e7oklu kar\u015f\u0131la\u015ft\u0131rma testleri i\u00e7in Dunnet testinin nas\u0131l kullan\u0131laca\u011f\u0131na dair 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\" 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