{"id":2249,"date":"2023-07-23T02:17:28","date_gmt":"2023-07-23T02:17:28","guid":{"rendered":"https:\/\/statorials.org\/tr\/cramersi-yorumla-v\/"},"modified":"2023-07-23T02:17:28","modified_gmt":"2023-07-23T02:17:28","slug":"cramersi-yorumla-v","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/cramersi-yorumla-v\/","title":{"rendered":"Cramer&#39;s v nas\u0131l yorumlan\u0131r (\u00f6rneklerle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Cramer V,<\/strong> iki nominal de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fcn\u00fcn bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">0&#8217;dan 1&#8217;e gider, burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0,<\/strong> iki de\u011fi\u015fken aras\u0131nda ili\u015fki olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1,<\/strong> iki de\u011fi\u015fken aras\u0131nda m\u00fckemmel bir ili\u015fkiyi g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Cramer&#8217;in V = \u221a <span style=\"border-top: 1px solid black;\">(X <sup>2<\/sup> \/n) \/ dak(c-1, r-1)<\/span><\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>X <sup>2<\/sup> :<\/strong> Ki kare istatisti\u011fi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> toplam \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>r:<\/strong> Sat\u0131r say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>c:<\/strong> S\u00fctun say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Cramer&#8217;in V&#8217;si nas\u0131l yorumlan\u0131r?<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo Cramer V&#8217;nin serbestlik derecesine g\u00f6re nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6stermektedir:<\/span><\/p>\n<table>\n<tbody>\n<tr>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>\u00d6zg\u00fcrl\u00fck derecesi<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>Biraz<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>ORTALAMA<\/strong><\/span><\/th>\n<th style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>b\u00fcy\u00fck<\/strong><\/span><\/th>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>1<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.10<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.30<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,50<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>2<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,07<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.21<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,35<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\"><b>3<\/b><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,06<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.17<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,29<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\"><b>4<\/b><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,05<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,15<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,25<\/span><\/td>\n<\/tr>\n<tr>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\"><strong>5<\/strong><\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,04<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0.13<\/span><\/td>\n<td style=\"text-align: center;\"> <span style=\"color: #000000;\">0,22<\/span><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler Cramer&#8217;s V&#8217;nin farkl\u0131 durumlarda nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6stermektedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: 2&#215;3&#8217;l\u00fck bir dizi i\u00e7in Cramer&#8217;s V&#8217;nin yorumlanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Diyelim ki g\u00f6z rengi ile cinsiyet aras\u0131nda bir ili\u015fki olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyoruz. Bu nedenle 50 ki\u015fiyi sorguluyor ve a\u015fa\u011f\u0131daki sonu\u00e7lar\u0131 elde ediyoruz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20463 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/poly12.png\" alt=\"\" width=\"370\" height=\"111\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu iki de\u011fi\u015fken i\u00e7in Cramer&#8217;in V&#8217;sini hesaplamak amac\u0131yla R&#8217;de a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (rcompanion)\n\n<span style=\"color: #008080;\">#create table\n<\/span>data = matrix(c(6, 9, 8, 5, 12, 10), nrow= <span style=\"color: #008000;\">2<\/span> )\n\n<span style=\"color: #008080;\">#view table\n<\/span>data\n\n     [,1] [,2] [,3]\n[1,] 6 8 12\n[2,] 9 5 10\n\n<span style=\"color: #008080;\">#calculate Cramer's V\n<\/span>cramerV(data)\n\nCramer V \n  0.1671<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Cramer&#8217;in V&#8217;si <strong>0,1671<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Serbestlik dereceleri \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">df = min(#sat\u0131rlar-1, #s\u00fctunlar-1)<\/span><\/li>\n<li> <span style=\"color: #000000;\">sd = dk(1, 2)<\/span><\/li>\n<li> <span style=\"color: #000000;\">sd = <strong>1<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Yukar\u0131daki tabloya bak\u0131ld\u0131\u011f\u0131nda, <strong>0,1671&#8217;lik<\/strong> Cramer V&#8217;sinin ve serbestlik derecesi = <strong>1&#8217;in<\/strong> , g\u00f6z rengi ile cinsiyet aras\u0131nda k\u00fc\u00e7\u00fck (veya &#8220;zay\u0131f&#8221;) bir ili\u015fkiye i\u015faret etti\u011fini g\u00f6rebiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: 3\u00d73&#8217;l\u00fck bir tablo i\u00e7in Cramer&#8217;s V&#8217;nin yorumlanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">G\u00f6z rengi ile siyasi parti tercihi aras\u0131nda bir ili\u015fki olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. Bu nedenle 50 ki\u015fiyi sorguluyor ve a\u015fa\u011f\u0131daki sonu\u00e7lar\u0131 elde ediyoruz:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-20548 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/cramer1.png\" alt=\"\" width=\"423\" height=\"131\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu iki de\u011fi\u015fken i\u00e7in Cramer&#8217;in V&#8217;sini hesaplamak amac\u0131yla R&#8217;de a\u015fa\u011f\u0131daki kodu kullanabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (rcompanion)\n\n<span style=\"color: #008080;\">#create table\n<\/span>data = matrix(c(8, 2, 4, 5, 8, 6, 6, 3, 8), nrow= <span style=\"color: #008000;\">3<\/span> )\n\n<span style=\"color: #008080;\">#view table\n<\/span>data\n\n     [,1] [,2] [,3]\n[1,] 8 5 6\n[2,] 2 8 3\n[3,] 4 6 8\n\n<span style=\"color: #008080;\">#calculate Cramer's V\n<\/span>cramerV(data)\n\nCramer V \n  0.246<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Cramer&#8217;in V&#8217;si <strong>0,246<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Serbestlik dereceleri \u015fu \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">df = min(#sat\u0131rlar-1, #s\u00fctunlar-1)<\/span><\/li>\n<li> <span style=\"color: #000000;\">sd = dk(2, 2)<\/span><\/li>\n<li> <span style=\"color: #000000;\">sd = <strong>2<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Yukar\u0131daki tabloya bak\u0131ld\u0131\u011f\u0131nda, <strong>0,246&#8217;l\u0131k<\/strong> Cramer V&#8217;sinin ve serbestlik derecesi = <strong>2&#8217;nin<\/strong> , g\u00f6z rengi ile siyasi parti tercihi aras\u0131nda orta (veya &#8220;orta&#8221;) bir ili\u015fkiye i\u015faret etti\u011fini g\u00f6rebiliriz.<\/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\u011fitimlerde Cramer V&#8217;nin farkl\u0131 istatistiksel yaz\u0131l\u0131mlarda nas\u0131l hesaplanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/excelde-cramers-v\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Cramer&#8217;in V&#8217;si Nas\u0131l Hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/cramers-v-rde\/\" target=\"_blank\" rel=\"noopener\">R&#8217;de Cramer&#8217;in V&#8217;si nas\u0131l hesaplan\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/pythonda-cramers-v\/\" target=\"_blank\" rel=\"noopener\">Python&#8217;da Cramer&#8217;in V&#8217;si Nas\u0131l Hesaplan\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Cramer V, iki nominal de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fcn\u00fcn bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. 0&#8217;dan 1&#8217;e gider, burada: 0, iki de\u011fi\u015fken aras\u0131nda ili\u015fki olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir. 1, iki de\u011fi\u015fken aras\u0131nda m\u00fckemmel bir ili\u015fkiyi g\u00f6sterir. A\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r: Cramer&#8217;in V = \u221a (X 2 \/n) \/ dak(c-1, r-1) Alt\u0131n: X 2 : Ki kare istatisti\u011fi n: toplam \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc r: Sat\u0131r [&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-2249","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>Cramer&#039;s V Nas\u0131l Yorumlan\u0131r (\u00d6rneklerle) - Statoryaller<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde Cramer&#039;s V&#039;nin nas\u0131l yorumlanaca\u011f\u0131 birka\u00e7 \u00f6rnekle a\u00e7\u0131klanmaktad\u0131r.\" \/>\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\/cramersi-yorumla-v\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cramer&#039;s V Nas\u0131l Yorumlan\u0131r (\u00d6rneklerle) - 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