{"id":1387,"date":"2023-07-26T14:31:40","date_gmt":"2023-07-26T14:31:40","guid":{"rendered":"https:\/\/statorials.org\/tr\/cochrans-q-testi\/"},"modified":"2023-07-26T14:31:40","modified_gmt":"2023-07-26T14:31:40","slug":"cochrans-q-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/cochrans-q-testi\/","title":{"rendered":"Cochran&#39;\u0131n q testi nedir? (tan\u0131m &amp; #038; \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Cochran&#8217;\u0131n Q testi,<\/strong> her grupta ayn\u0131 bireylerin yer ald\u0131\u011f\u0131 \u00fc\u00e7 veya daha fazla grupta &#8220;ba\u015far\u0131&#8221; oran\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131lan istatistiksel bir testtir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, \u00fc\u00e7 farkl\u0131 \u00e7al\u0131\u015fma tekni\u011fi kullan\u0131ld\u0131\u011f\u0131nda bir testi ge\u00e7en \u00f6\u011frencilerin oran\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Cochran&#8217;\u0131n Q testini kullanabiliriz.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13782 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cochranq2.png\" alt=\"\" width=\"313\" height=\"449\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Cochran&#8217;\u0131n Q Testini Ger\u00e7ekle\u015ftirme Ad\u0131mlar\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Cochran&#8217;\u0131n Q testi a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Bo\u015f hipotez (H <sub>0<\/sub> ):<\/strong> \u201cBa\u015far\u0131\u201d oran\u0131 t\u00fcm gruplarda ayn\u0131d\u0131r<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Alternatif hipotez ( <sub>HA<\/sub> ):<\/strong> Gruplardan en az birinde \u201cba\u015far\u0131\u201d oran\u0131 farkl\u0131d\u0131r<\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fi \u015fu \u015fekilde hesaplan\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13781 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cochranq.png\" alt=\"\" width=\"235\" height=\"105\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>k:<\/strong> Tedavi say\u0131s\u0131 (veya \u201cgrup\u201d)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Xj:<\/strong> <sup>j&#8217;inci<\/sup> muamele i\u00e7in s\u00fctunun toplam\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>b:<\/strong> Blok say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Xi. :<\/strong> <sup>i&#8217;inci<\/sup> blok i\u00e7in sat\u0131r\u0131n toplam\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N:<\/strong> Genel toplam<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><em>T<\/em> testi istatisti\u011fi <em>k-1<\/em> serbestlik derecesine sahip bir Ki-kare da\u011f\u0131l\u0131m\u0131n\u0131 takip eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fiyle ili\u015fkili <a href=\"https:\/\/statorials.org\/tr\/p-degerleri-istatistiksel-anlamlilik\/\" target=\"_blank\" rel=\"noopener\">p de\u011feri<\/a> belirli bir anlaml\u0131l\u0131k d\u00fczeyinin alt\u0131ndaysa (\u00f6rne\u011fin, \u03b1 = 0,05), s\u0131f\u0131r hipotezini reddedebilir ve &#8220;ba\u015far\u0131&#8221; oran\u0131n\u0131n farkl\u0131 oldu\u011funu s\u00f6ylemek i\u00e7in yeterli kan\u0131t\u0131m\u0131z oldu\u011fu sonucuna varabiliriz. gruplardan en az biri.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Cochran&#8217;\u0131n Q testi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir ara\u015ft\u0131rmac\u0131n\u0131n, \u00fc\u00e7 farkl\u0131 \u00e7al\u0131\u015fma tekni\u011finin \u00f6\u011frenciler aras\u0131nda farkl\u0131 oranlarda ba\u015far\u0131 oranlar\u0131na yol a\u00e7\u0131p a\u00e7mad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fini varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bunu test etmek i\u00e7in, her biri \u00fc\u00e7 farkl\u0131 \u00e7al\u0131\u015fma tekni\u011fi kullanarak e\u015fit zorlukta bir s\u0131nava giren 20 \u00f6\u011frenciyi i\u015fe al\u0131yor. Sonu\u00e7lar a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13782 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cochranq2.png\" alt=\"\" width=\"313\" height=\"449\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Cochran&#8217;\u0131n Q testini ger\u00e7ekle\u015ftirmek i\u00e7in istatistiksel yaz\u0131l\u0131m kullanabiliriz \u00e7\u00fcnk\u00fc manuel olarak ger\u00e7ekle\u015ftirmek s\u0131k\u0131c\u0131 olabilir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu veri k\u00fcmesini olu\u015fturmak ve R istatistiksel programlama dilinde Cochran&#8217;\u0131n Q testini ger\u00e7ekle\u015ftirmek i\u00e7in kullanabilece\u011fimiz kod:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load DescTools package<\/span>\n<span style=\"color: #993300;\">library<\/span> (DescTools)\n\n<span style=\"color: #008080;\">#create dataset<\/span>\ndf &lt;- data.frame(student= <span style=\"color: #3366ff;\">rep<\/span> (1:20, <span style=\"color: #3366ff;\">each<\/span> = <span style=\"color: #008000;\">3<\/span> ),\n                 technique= <span style=\"color: #3366ff;\">rep<\/span> (c('A', 'B', 'C'), times= <span style=\"color: #008000;\">20<\/span> ),\n                 outcome=c(1, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 0, 1,\n                           1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 1,\n                           1, 0, 0, 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 1, 1,\n                           1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1))\n\n<span style=\"color: #008080;\">#perform Cochran's Q test<\/span>\nCochranQTest(outcome ~ technique| student, data=df)\n\n\tCochran's Q test\n\ndata: outcome and technique and student\nQ = 0.33333, df = 2, p-value = 0.8465<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Test sonucundan a\u015fa\u011f\u0131dakileri g\u00f6zlemleyebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Test istatisti\u011fi <strong>0,333<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Kar\u015f\u0131l\u0131k gelen p de\u011feri <strong>0,8465&#8217;tir<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddedemiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu, \u00f6\u011frencilerin kulland\u0131\u011f\u0131 \u00e7al\u0131\u015fma tekni\u011finin farkl\u0131 oranlarda ba\u015far\u0131 oranlar\u0131na yol a\u00e7t\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131ta sahip olmad\u0131\u011f\u0131m\u0131z anlam\u0131na geliyor.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cochran&#8217;\u0131n Q testi, her grupta ayn\u0131 bireylerin yer ald\u0131\u011f\u0131 \u00fc\u00e7 veya daha fazla grupta &#8220;ba\u015far\u0131&#8221; oran\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131lan istatistiksel bir testtir. \u00d6rne\u011fin, \u00fc\u00e7 farkl\u0131 \u00e7al\u0131\u015fma tekni\u011fi kullan\u0131ld\u0131\u011f\u0131nda bir testi ge\u00e7en \u00f6\u011frencilerin oran\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Cochran&#8217;\u0131n Q testini kullanabiliriz. Cochran&#8217;\u0131n Q Testini Ger\u00e7ekle\u015ftirme Ad\u0131mlar\u0131 Cochran&#8217;\u0131n Q testi a\u015fa\u011f\u0131daki bo\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-1387","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>Cochran&#039;\u0131n Q testi nedir? 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