{"id":1536,"date":"2023-07-25T23:47:12","date_gmt":"2023-07-25T23:47:12","guid":{"rendered":"https:\/\/statorials.org\/tr\/sinif-ici-korelasyon-katsayisi\/"},"modified":"2023-07-25T23:47:12","modified_gmt":"2023-07-25T23:47:12","slug":"sinif-ici-korelasyon-katsayisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/sinif-ici-korelasyon-katsayisi\/","title":{"rendered":"S\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131: tan\u0131m + \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130ki veya daha fazla puanlay\u0131c\u0131n\u0131n bulundu\u011fu \u00e7al\u0131\u015fmalarda puanlar\u0131n <a href=\"https:\/\/statorials.org\/tr\/guvenilirlik-analizi\/\" target=\"_blank\" rel=\"noopener\">g\u00fcvenilirli\u011fini<\/a> \u00f6l\u00e7mek i\u00e7in <strong>s\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131<\/strong> (ICC) kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bir ICC&#8217;nin de\u011feri 0 ile 1 aras\u0131nda de\u011fi\u015febilir; 0, de\u011ferlendiriciler aras\u0131nda g\u00fcvenilirli\u011fin olmad\u0131\u011f\u0131n\u0131, 1 ise de\u011ferlendiriciler aras\u0131nda m\u00fckemmel g\u00fcvenilirli\u011fi belirtir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Basit\u00e7e s\u00f6ylemek gerekirse, \u00f6\u011felerin (veya konular\u0131n) farkl\u0131 de\u011ferlendiriciler taraf\u0131ndan g\u00fcvenilir bir \u015fekilde derecelendirilip derecelendirilemeyece\u011fini belirlemek i\u00e7in bir ICC kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00fc\u00e7 fakt\u00f6re ba\u011fl\u0131 olarak hesaplanabilecek bir ICC&#8217;nin birka\u00e7 farkl\u0131 versiyonu vard\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Model:<\/strong> tek y\u00f6nl\u00fc rastgele etkiler, iki y\u00f6nl\u00fc rastgele etkiler veya iki y\u00f6nl\u00fc kar\u0131\u015f\u0131k etkiler<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0130li\u015fki t\u00fcr\u00fc:<\/strong> tutarl\u0131l\u0131k veya mutlak anla\u015fma<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Birim:<\/strong> tek de\u011ferlendirici veya de\u011ferlendiricilerin ortalamas\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u0130\u015fte \u00fc\u00e7 farkl\u0131 <strong>modelin<\/strong> k\u0131sa bir a\u00e7\u0131klamas\u0131:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Tek y\u00f6nl\u00fc rastgele etkiler modeli:<\/strong> Bu model, her konunun rastgele se\u00e7ilen farkl\u0131 bir de\u011ferlendirici grubu taraf\u0131ndan de\u011ferlendirildi\u011fini varsaymaktad\u0131r. Bu modelde de\u011ferlendiriciler rastgele etkilerin kayna\u011f\u0131 olarak kabul edilmektedir. Bu model pratikte nadiren kullan\u0131l\u0131r \u00e7\u00fcnk\u00fc her konuyu de\u011ferlendirmek i\u00e7in genellikle ayn\u0131 de\u011ferlendirici grubu kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. \u0130ki y\u00f6nl\u00fc rastgele etki modeli:<\/strong> Bu model, bir grup <em>k<\/em> puanlay\u0131c\u0131n\u0131n bir pop\u00fclasyondan rastgele se\u00e7ildi\u011fini ve daha sonra konular\u0131 derecelendirmek i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 varsayar. Bu modeli kullanarak, de\u011ferlendiriciler ve denekler rastgele etkilerin kaynaklar\u0131 olarak kabul edilir. Bu model genellikle sonu\u00e7lar\u0131m\u0131z\u0131, \u00e7al\u0131\u015fmada kullan\u0131lanlara benzer puanlay\u0131c\u0131lara genellemek istedi\u011fimizde kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3. \u0130ki y\u00f6nl\u00fc karma etki modeli:<\/strong> Bu model ayn\u0131 zamanda bir grup <em>k<\/em> puanlay\u0131c\u0131n\u0131n bir pop\u00fclasyondan rastgele se\u00e7ildi\u011fini ve daha sonra denekleri derecelendirmek i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 varsayar. Ancak bu model, se\u00e7ti\u011fimiz de\u011ferlendirici grubunun ilgilenilen <em>tek<\/em> de\u011ferlendiriciler oldu\u011funu varsayar; bu da sonu\u00e7lar\u0131m\u0131z\u0131, \u00e7al\u0131\u015fmada kullan\u0131lan de\u011ferlendiricilerle benzer \u00f6zellikleri payla\u015fabilecek di\u011fer de\u011ferlendiricilere genellemek istemedi\u011fimiz anlam\u0131na gelir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6l\u00e7mek isteyebilece\u011fimiz iki farkl\u0131 <strong>ili\u015fki t\u00fcr\u00fcn\u00fcn<\/strong> k\u0131sa bir a\u00e7\u0131klamas\u0131 a\u015fa\u011f\u0131da verilmi\u015ftir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Tutarl\u0131l\u0131k:<\/strong> J\u00fcrilerin derecelendirmeleri aras\u0131ndaki sistematik farkl\u0131l\u0131klarla ilgileniyoruz (\u00f6rne\u011fin, j\u00fcri benzer konular\u0131 d\u00fc\u015f\u00fck ve y\u00fcksek olarak m\u0131 derecelendirdi?)<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. Mutlak fikir birli\u011fi:<\/strong> Hakemlerin puanlar\u0131 aras\u0131ndaki mutlak farklarla ilgileniyoruz (\u00f6rne\u011fin, A hakeminin ve B hakeminin puanlar\u0131 aras\u0131ndaki mutlak fark nedir?)<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130lgimizi \u00e7ekebilecek iki farkl\u0131 <strong>birimin<\/strong> k\u0131sa bir a\u00e7\u0131klamas\u0131:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1. Tek incelemeci:<\/strong> \u00d6l\u00e7\u00fcm i\u00e7in temel olarak yaln\u0131zca tek bir incelemecinin derecelendirmesini kullanmak istiyoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2. De\u011ferlendirici ortalamas\u0131:<\/strong> T\u00fcm j\u00fcri \u00fcyelerinin puanlar\u0131n\u0131n ortalamas\u0131n\u0131 \u00f6l\u00e7\u00fcm i\u00e7in temel olarak kullanmak istiyoruz.<\/span><\/p>\n<p> <em><span style=\"color: #000000;\"><strong>Not:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ikili-degisken-1\/\" target=\"_blank\" rel=\"noopener\">\u0130kili bir sonuca<\/a> ili\u015fkin her bir maddeyi ka\u00e7\u0131ran iki de\u011ferlendirici aras\u0131ndaki anla\u015fman\u0131n d\u00fczeyini \u00f6l\u00e7mek istiyorsan\u0131z bunun yerine <a href=\"https:\/\/statorials.org\/tr\/cohens-kappa-istatistigi\/\" target=\"_blank\" rel=\"noopener\">Cohen&#8217;in Kappa&#8217;s\u0131n\u0131<\/a> kullanmal\u0131s\u0131n\u0131z.<\/span><\/em><\/p>\n<h3> <span style=\"color: #000000;\"><strong>S\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131 nas\u0131l yorumlan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/pubmed.ncbi.nlm.nih.gov\/27330520\/\" target=\"_blank\" rel=\"noopener\">Koo ve Li&#8217;ye<\/a> g\u00f6re s\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131n\u0131n de\u011ferinin nas\u0131l yorumlanaca\u011f\u0131 a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0,50&#8217;den az:<\/strong> zay\u0131f g\u00fcvenilirlik<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>0,5 ile 0,75 aras\u0131nda:<\/strong> Orta d\u00fczeyde g\u00fcvenilirlik<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>0,75 ile 0,9 aras\u0131nda:<\/strong> \u0130yi g\u00fcvenilirlik<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>0,9&#8217;dan b\u00fcy\u00fck:<\/strong> M\u00fckemmel g\u00fcvenilirlik<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnek, pratikte s\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: S\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131n\u0131n hesaplanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki d\u00f6rt farkl\u0131 j\u00fcriden 10 farkl\u0131 \u00fcniversiteye giri\u015f s\u0131nav\u0131n\u0131n kalitesini de\u011ferlendirmeleri isteniyor. Sonu\u00e7lar a\u015fa\u011f\u0131da g\u00f6sterilmektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-15245\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/icc1.png\" alt=\"S\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131n\u0131n hesaplanmas\u0131na \u00f6rnek\" width=\"354\" height=\"285\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Giri\u015f s\u0131nav\u0131 i\u00e7in d\u00f6rt yarg\u0131c\u0131n nitelikli yarg\u0131\u00e7lardan olu\u015fan bir pop\u00fclasyondan rastgele se\u00e7ildi\u011fini ve yarg\u0131\u00e7lar aras\u0131ndaki mutlak anla\u015fmay\u0131 \u00f6l\u00e7mek istedi\u011fimizi ve \u00f6l\u00e7\u00fcm\u00fcm\u00fcz\u00fcn temeli olarak puanlar\u0131 yaln\u0131zca bir de\u011ferlendiricinin bak\u0131\u015f a\u00e7\u0131s\u0131ndan kullanmak istedi\u011fimizi varsayal\u0131m.<\/span><\/p>\n<p> <span style=\"color: #000000;\">De\u011ferlendiriciler aras\u0131ndaki ili\u015fki olarak <strong>mutlak anla\u015fmay\u0131<\/strong> ve ilgi birimi olarak <strong>tek<\/strong> birimi kullanarak <strong>iki y\u00f6nl\u00fc rastgele etkiler modeline<\/strong> uymak i\u00e7in R&#8217;de a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the interrater reliability package<\/span>\n<span style=\"color: #993300;\">library<\/span> (irr)\n\n<span style=\"color: #008080;\">#define data\n<\/span>data &lt;- data. <span style=\"color: #3366ff;\">frame<\/span> (A=c(1, 1, 3, 6, 6, 7, 8, 9, 8, 7),\n                   B=c(2, 3, 8, 4, 5, 5, 7, 9, 8, 8),\n                   C=c(0, 4, 1, 5, 5, 6, 6, 9, 8, 8),\n                   D=c(1, 2, 3, 3, 6, 4, 6, 8, 8, 9))\n\n<span style=\"color: #008080;\">#calculate ICC\n<\/span>icc(data, model = \" <span style=\"color: #008000;\">twoway<\/span> \", type = \" <span style=\"color: #008000;\">agreement<\/span> \", unit = \" <span style=\"color: #008000;\">single<\/span> \")\n\n   Model: twoway \n   Type: agreement \n\n   Subjects = 10 \n     Failures = 4 \n   ICC(A,1) = 0.782\n\n F-Test, H0: r0 = 0; H1: r0 &gt; 0 \n    F(9.30) = 15.3, p = 5.93e-09 \n\n 95%-Confidence Interval for ICC Population Values:\n  0.554 &lt; ICC &lt; 0.931<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">S\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131 (ICC) <strong>0,782<\/strong> olarak bulunmu\u015ftur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">ICC&#8217;yi yorumlamak i\u00e7in temel kurallara dayanarak, <strong>0,782&#8217;lik<\/strong> bir ICC&#8217;nin, s\u0131navlar\u0131n farkl\u0131 de\u011ferlendiriciler taraf\u0131ndan &#8220;iyi&#8221; g\u00fcvenilirlikle puanlanabilece\u011fini g\u00f6sterdi\u011fi sonucuna varabiliriz.<\/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\u011fitimler, farkl\u0131 istatistiksel yaz\u0131l\u0131mlarda ICC&#8217;nin nas\u0131l hesaplanaca\u011f\u0131na ili\u015fkin ayr\u0131nt\u0131l\u0131 a\u00e7\u0131klamalar sa\u011flar:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/sinif-ici-korelasyon-katsayisi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de S\u0131n\u0131f \u0130\u00e7i Korelasyon Katsay\u0131s\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/sinif-ici-korelasyon-katsayisi-r\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de s\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131 nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/python-sinif-ici-korelasyon-katsayisi\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da S\u0131n\u0131f \u0130\u00e7i Korelasyon Katsay\u0131s\u0131 Nas\u0131l Hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130ki veya daha fazla puanlay\u0131c\u0131n\u0131n bulundu\u011fu \u00e7al\u0131\u015fmalarda puanlar\u0131n g\u00fcvenilirli\u011fini \u00f6l\u00e7mek i\u00e7in s\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131 (ICC) kullan\u0131l\u0131r. Bir ICC&#8217;nin de\u011feri 0 ile 1 aras\u0131nda de\u011fi\u015febilir; 0, de\u011ferlendiriciler aras\u0131nda g\u00fcvenilirli\u011fin olmad\u0131\u011f\u0131n\u0131, 1 ise de\u011ferlendiriciler aras\u0131nda m\u00fckemmel g\u00fcvenilirli\u011fi belirtir. Basit\u00e7e s\u00f6ylemek gerekirse, \u00f6\u011felerin (veya konular\u0131n) farkl\u0131 de\u011ferlendiriciler taraf\u0131ndan g\u00fcvenilir bir \u015fekilde derecelendirilip derecelendirilemeyece\u011fini belirlemek i\u00e7in bir ICC [&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-1536","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>S\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131: tan\u0131m + \u00f6rnek<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde, bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere s\u0131n\u0131f i\u00e7i korelasyon katsay\u0131s\u0131n\u0131n bir a\u00e7\u0131klamas\u0131 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