{"id":1284,"date":"2023-07-27T00:41:54","date_gmt":"2023-07-27T00:41:54","guid":{"rendered":"https:\/\/statorials.org\/tr\/bazi\/"},"modified":"2023-07-27T00:41:54","modified_gmt":"2023-07-27T00:41:54","slug":"bazi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/bazi\/","title":{"rendered":"Somers&#39;\u0131n d&#39;si nedir? (tan\u0131m &amp; #038; \u00f6rnek)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Somers Delta&#8217;n\u0131n k\u0131saltmas\u0131 olan <strong>Somers D<\/strong> , s\u0131ral\u0131 bir ba\u011f\u0131ml\u0131 de\u011fi\u015fken ile s\u0131ral\u0131 bir ba\u011f\u0131ms\u0131z de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fcn\u00fcn ve y\u00f6n\u00fcn\u00fcn bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em>S\u0131ral\u0131<\/em> de\u011fi\u015fken, de\u011ferlerin do\u011fal bir s\u0131raya sahip oldu\u011fu de\u011fi\u015fkendir (\u00f6rne\u011fin &#8220;k\u00f6t\u00fc&#8221;, &#8220;n\u00f6tr&#8221;, &#8220;iyi&#8221;).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Somers D&#8217;nin de\u011feri -1 ile 1 aras\u0131ndad\u0131r; burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>-1:<\/strong> T\u00fcm de\u011fi\u015fken \u00e7iftlerinin ayn\u0131 fikirde olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1:<\/strong> t\u00fcm de\u011fi\u015fken \u00e7iftlerinin e\u015fle\u015fti\u011fini g\u00f6sterir<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Somers D&#8217;si pratikte bir\u00e7ok parametrik olmayan istatistiksel y\u00f6ntem i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Somers&#8217;\u0131n D: tan\u0131m<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken (X ve Y) verildi\u011finde \u015funu s\u00f6yleyebiliriz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">\u0130ki \u00e7ift ( <sub>xi<\/sub> , y <sub>i<\/sub> ) ve (x <sub>j<\/sub> , y <sub>j<\/sub> ), e\u011fer iki \u00f6\u011fenin s\u0131ralar\u0131 e\u015fle\u015fiyorsa <strong>uyumludur<\/strong> .<\/span><\/li>\n<li> <span style=\"color: #000000;\"><span style=\"color: #000000;\">\u0130ki \u00e7ift (xi<\/span> <sub>,<\/sub> <span style=\"color: #000000;\">y<\/span> <sub>i<\/sub> <span style=\"color: #000000;\">) ve (x<\/span> <sub>j<\/sub> <span style=\"color: #000000;\">, y<\/span> <sub>j<\/sub> <span style=\"color: #000000;\">) <b>uyumsuzdur<\/b><\/span><b> <\/b><span style=\"color: #000000;\">e\u011fer iki elementin s\u0131ralamalar\u0131 e\u015fle\u015fiyorsa.<\/span><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Daha sonra a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanarak Somers&#8217;\u0131n D&#8217;sini hesaplayabiliriz:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Somers&#8217; D = ( <sub>NC<\/sub> \u2013 N <sub>D<\/sub> ) \/ ( <sub>NC<\/sub> + N <sub>D<\/sub> + N <sub>T<\/sub> )<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>N <sub>C<\/sub> :<\/strong> E\u015fle\u015fen \u00e7iftlerin say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong><sub>ND<\/sub> :<\/strong> Uyumsuz \u00e7iftlerin say\u0131s\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>N <sub>T<\/sub> :<\/strong> Berabere kalan \u00e7iftlerin say\u0131s\u0131<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ortaya \u00e7\u0131kan de\u011fer her zaman -1 ile 1 aras\u0131nda olacakt\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Somers&#8217; D: R&#8217;deki \u00f6rnek<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir bakkal\u0131n a\u015fa\u011f\u0131daki iki s\u0131ral\u0131 de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi de\u011ferlendirmek istedi\u011fini varsayal\u0131m:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Kasiyerin genel dostlu\u011fu (1&#8217;den 3&#8217;e kadar s\u0131ralanm\u0131\u015ft\u0131r)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Genel m\u00fc\u015fteri deneyimi memnuniyeti (ayr\u0131ca 1&#8217;den 3&#8217;e kadar s\u0131ralanm\u0131\u015ft\u0131r)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">10 m\u00fc\u015fteriden olu\u015fan bir <a href=\"https:\/\/statorials.org\/tr\/populasyon-ve-ornek\/\" target=\"_blank\" rel=\"noopener\">\u00f6rneklemden<\/a> a\u015fa\u011f\u0131daki derecelendirmeleri topluyorlar:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12605 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/quelquun1.png\" alt=\"Somers \u00d6rne\u011fi D\" width=\"261\" height=\"306\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7mek i\u00e7in R&#8217;de a\u015fa\u011f\u0131daki kodu kullanarak Somers&#8217;\u0131n D&#8217;sini hesaplayabiliriz:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#enter data<\/span>\nnice &lt;- c(1, 1, 1, 2, 2, 2, 3, 3, 3, 3)\nsatisfaction &lt;- c(2, 2, 1, 2, 3, 2, 2, 3, 3, 3)\n\n<span style=\"color: #008080;\">#load <em>DescTools<\/em> package\n<\/span>library(DescTools)\n\n<span style=\"color: #008080;\">#calculate Somers' D\n<\/span>SomersDelta(nice, satisfaction)\n\n[1] 0.6896552<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Somers&#8217;\u0131n D&#8217;si <strong>0,6896552<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu de\u011ferin 1&#8217;e olduk\u00e7a yak\u0131n olmas\u0131 iki de\u011fi\u015fken aras\u0131nda olduk\u00e7a g\u00fc\u00e7l\u00fc pozitif bir ili\u015fkinin oldu\u011funu g\u00f6stermektedir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu sezgisel olarak mant\u0131kl\u0131d\u0131r: Kasiyerleri daha iyi olarak de\u011ferlendiren m\u00fc\u015fteriler ayn\u0131 zamanda genel memnuniyetlerini de daha y\u00fcksek olarak derecelendirme e\u011filimindedir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">Pearson Korelasyon Katsay\u0131s\u0131na Giri\u015f<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/kendalin-tau'su\/\" target=\"_blank\" rel=\"noopener\">Kendall&#8217;\u0131n Tau&#8217;suna Giri\u015f<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Somers Delta&#8217;n\u0131n k\u0131saltmas\u0131 olan Somers D , s\u0131ral\u0131 bir ba\u011f\u0131ml\u0131 de\u011fi\u015fken ile s\u0131ral\u0131 bir ba\u011f\u0131ms\u0131z de\u011fi\u015fken aras\u0131ndaki ili\u015fkinin g\u00fcc\u00fcn\u00fcn ve y\u00f6n\u00fcn\u00fcn bir \u00f6l\u00e7\u00fcs\u00fcd\u00fcr. S\u0131ral\u0131 de\u011fi\u015fken, de\u011ferlerin do\u011fal bir s\u0131raya sahip oldu\u011fu de\u011fi\u015fkendir (\u00f6rne\u011fin &#8220;k\u00f6t\u00fc&#8221;, &#8220;n\u00f6tr&#8221;, &#8220;iyi&#8221;). Somers D&#8217;nin de\u011feri -1 ile 1 aras\u0131ndad\u0131r; burada: -1: T\u00fcm de\u011fi\u015fken \u00e7iftlerinin ayn\u0131 fikirde olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir 1: t\u00fcm de\u011fi\u015fken [&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-1284","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>Somers&#039;\u0131n D&#039;si nedir? 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