{"id":3145,"date":"2023-07-19T00:12:07","date_gmt":"2023-07-19T00:12:07","guid":{"rendered":"https:\/\/statorials.org\/tr\/rdeki-gini-katsayisi\/"},"modified":"2023-07-19T00:12:07","modified_gmt":"2023-07-19T00:12:07","slug":"rdeki-gini-katsayisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rdeki-gini-katsayisi\/","title":{"rendered":"R&#39;de gini katsay\u0131s\u0131 nas\u0131l hesaplan\u0131r (\u00f6rnekle)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Ad\u0131n\u0131 \u0130talyan istatistik\u00e7i <a href=\"https:\/\/en.wikipedia.org\/wiki\/Corrado_Gini\" target=\"_blank\" rel=\"noopener\">Corrado Gini&#8217;den<\/a> alan <strong>Gini katsay\u0131s\u0131<\/strong> , bir n\u00fcfusun gelir da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yoludur.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Gini katsay\u0131s\u0131n\u0131n de\u011feri 0 ila 1 aras\u0131nda de\u011fi\u015fir; burada daha y\u00fcksek de\u011ferler daha b\u00fcy\u00fck gelir e\u015fitsizli\u011fini temsil eder ve burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>0<\/strong> m\u00fckemmel gelir e\u015fitli\u011fini temsil eder (herkes ayn\u0131 gelire sahiptir)<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>1<\/strong> tam gelir e\u015fitsizli\u011fini temsil eder (bir ki\u015fi t\u00fcm gelire sahiptir)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">\u00dclkelere g\u00f6re Gini katsay\u0131lar\u0131n\u0131n bir listesini <a href=\"https:\/\/en.wikipedia.org\/wiki\/List_of_countries_by_income_equality\" target=\"_blank\" rel=\"noopener\">burada<\/a> bulabilirsiniz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00f6rnekler, <strong>DescTools<\/strong> paketindeki <strong>Gini()<\/strong> i\u015flevini kullanarak R&#8217;de bir Gini katsay\u0131s\u0131n\u0131 hesaplaman\u0131n iki yolunu g\u00f6sterir.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 1: Bireysel geliri kullanarak Gini katsay\u0131s\u0131n\u0131 hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">10 ki\u015finin a\u015fa\u011f\u0131daki y\u0131ll\u0131k gelir listesine sahip oldu\u011fumuzu varsayal\u0131m:<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Gelir: 50.000 $, 50.000 $, 70.000 $, 70.000 $, 70.000 $, 90.000 $, 150.000 $, 150.000 $, 150.000 $, 150.000 $<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bu pop\u00fclasyon i\u00e7in Gini katsay\u0131s\u0131n\u0131 hesaplamak amac\u0131yla <strong>Gini()<\/strong> i\u015flevinin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (DescTools)\n\n<span style=\"color: #008080;\">#define vector of income\n<\/span>x &lt;- c(50, 50, 70, 70, 70, 90, 150, 150, 150, 150)\n\n<span style=\"color: #008080;\">#calculate Gini coefficient\n<\/span>Gini(x, unbiased= <span style=\"color: #008000;\">FALSE<\/span> )\n\n[1] 0.226<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Gini katsay\u0131s\u0131 <strong>0,226<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : Ger\u00e7ek d\u00fcnya senaryosunda, belirli bir \u00fclkedeki bireylerin y\u00fczbinlerce farkl\u0131 geliri olacakt\u0131r, ancak bu \u00f6rnekte basit bir \u00f6rnek olarak 10 ki\u015fiyi kulland\u0131k.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek 2: Frekanslar\u0131 Kullanarak Gini Katsay\u0131s\u0131n\u0131 Hesaplay\u0131n<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Belirli bir n\u00fcfusta belirli gelire sahip bireylerin say\u0131s\u0131n\u0131 g\u00f6steren a\u015fa\u011f\u0131daki s\u0131kl\u0131k tablosuna sahip oldu\u011fumuzu varsayal\u0131m:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-26756 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/ginir1.jpg\" alt=\"\" width=\"165\" height=\"269\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki kod, bu pop\u00fclasyon i\u00e7in Gini katsay\u0131s\u0131n\u0131 hesaplamak amac\u0131yla <strong>Gini()<\/strong> i\u015flevinin nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterir:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008000;\">library<\/span> (DescTools)\n\n<span style=\"color: #008080;\">#define vector of income\n<\/span>x &lt;- c(10, 20, 25, 55, 70, 90, 110, 115, 130)\n\n<span style=\"color: #008080;\">#define vector of frequencies\n<\/span>n &lt;- c(6, 7, 7, 14, 22, 20, 8, 4, 1)\n\n<span style=\"color: #008080;\">#calculate Gini coefficient\n<\/span>Gini(x, n, unbiased= <span style=\"color: #008000;\">FALSE<\/span> )\n\n[1] 0.2632289\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Gini katsay\u0131s\u0131 <strong>0,26232<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Not<\/strong> : <strong>Gini()<\/strong> fonksiyonunun tam belgelerini <a href=\"https:\/\/search.r-project.org\/CRAN\/refmans\/DescTools\/html\/Gini.html\" target=\"_blank\" rel=\"noopener\">burada<\/a> <strong>DescTools<\/strong> paketinde bulabilirsiniz.<\/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 Gini katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 ve Excel&#8217;de Lorenz e\u011frisinin nas\u0131l olu\u015fturulaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/gini-katsayisi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Gini katsay\u0131s\u0131 nas\u0131l hesaplan\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/lorenz-egrisi-excel\/\" target=\"_blank\" rel=\"noopener\">Excel&#8217;de Lorenz E\u011frisi Nas\u0131l Olu\u015fturulur<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Ad\u0131n\u0131 \u0130talyan istatistik\u00e7i Corrado Gini&#8217;den alan Gini katsay\u0131s\u0131 , bir n\u00fcfusun gelir da\u011f\u0131l\u0131m\u0131n\u0131 \u00f6l\u00e7menin bir yoludur. Gini katsay\u0131s\u0131n\u0131n de\u011feri 0 ila 1 aras\u0131nda de\u011fi\u015fir; burada daha y\u00fcksek de\u011ferler daha b\u00fcy\u00fck gelir e\u015fitsizli\u011fini temsil eder ve burada: 0 m\u00fckemmel gelir e\u015fitli\u011fini temsil eder (herkes ayn\u0131 gelire sahiptir) 1 tam gelir e\u015fitsizli\u011fini temsil eder (bir ki\u015fi t\u00fcm [&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-3145","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>R&#039;de Gini katsay\u0131s\u0131 nas\u0131l hesaplan\u0131r (\u00f6rnekle) - Statorials<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde R&#039;de bir Gini katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 eksiksiz bir \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\/rdeki-gini-katsayisi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R&#039;de Gini katsay\u0131s\u0131 nas\u0131l hesaplan\u0131r (\u00f6rnekle) - 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