{"id":309,"date":"2023-08-02T18:09:42","date_gmt":"2023-08-02T18:09:42","guid":{"rendered":"https:\/\/statorials.org\/tr\/duzeltilmis-belirleme-katsayisi-r-duzeltilmis-kare\/"},"modified":"2023-08-02T18:09:42","modified_gmt":"2023-08-02T18:09:42","slug":"duzeltilmis-belirleme-katsayisi-r-duzeltilmis-kare","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/duzeltilmis-belirleme-katsayisi-r-duzeltilmis-kare\/","title":{"rendered":"D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 (d\u00fczeltilmi\u015f r kare)"},"content":{"rendered":"<p>Bu makale, istatistikte d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n (veya d\u00fczeltilmi\u015f R karesinin) ne oldu\u011funu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r. Benzer \u015fekilde, d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131, nas\u0131l yorumlanaca\u011f\u0131n\u0131 ve ayr\u0131ca d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in \u00e7evrimi\u00e7i bir hesap makinesini ke\u015ffedeceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-coeficiente-de-determinacion-ajustado\"><\/span> D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>D\u00fczeltilmi\u015f R kare<\/strong> olarak da adland\u0131r\u0131lan <strong>d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131<\/strong> , modele dahil edilen a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin say\u0131s\u0131n\u0131 dikkate alarak bir regresyon modelinin uyumunun iyili\u011fini g\u00f6steren bir katsay\u0131d\u0131r.<\/p>\n<p> D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n sembol\u00fc<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ae8b56e515d662eca2beb4afd7fb0f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bar{R}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> .<\/p>\n<p> Bu nedenle, d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131, regresyon modeli taraf\u0131ndan a\u00e7\u0131klanan y\u00fczdeyi \u00f6l\u00e7er ve modele dahil edilen her a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkeni cezaland\u0131r\u0131r. Genel olarak, bir regresyon modeli ne kadar \u00e7ok de\u011fi\u015fkene sahip olursa, veri \u00f6rne\u011fini o kadar iyi a\u00e7\u0131klar ancak model o kadar karma\u015f\u0131k olur. Bu nedenle verileri en iyi a\u00e7\u0131klayan ancak m\u00fcmk\u00fcn olan en az de\u011fi\u015fkene sahip olan modeli bulmal\u0131y\u0131z.<\/p>\n<p> Bu nedenle farkl\u0131 regresyon modelleri aras\u0131ndaki uyumun iyili\u011fini kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 kullan\u0131l\u0131r. Modeldeki de\u011fi\u015fkenlerin say\u0131s\u0131 dikkate al\u0131nd\u0131\u011f\u0131nda bu istatistiksel katsay\u0131, modelleri farkl\u0131 de\u011fi\u015fkenlerle kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in \u00e7ok faydal\u0131d\u0131r. A\u015fa\u011f\u0131da d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6rece\u011fiz.<\/p>\n<p> \u0130statistiklerde d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131na <strong>d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131<\/strong> da denir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-coeficiente-de-determinacion-ajustado\"><\/span> D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n hesaplanmas\u0131na y\u00f6nelik form\u00fcl<\/strong> a\u015fa\u011f\u0131daki gibidir:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bab21915405ecf54c525594c50d434cb_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bar{R}^2=1-\\cfrac{N-1}{N-k-1}\\cdot (1-R^2)\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"233\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3ae8b56e515d662eca2beb4afd7fb0f9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\bar{R}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131d\u0131r.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c7d6931063ed333ca39b952ccfd482b8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"21\" style=\"vertical-align: 0px;\"><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/belirleme-katsayisi-r-kare\/\">belirleme katsay\u0131s\u0131d\u0131r<\/a> .<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7354bae77b50b7d1faed3e8ea7a3511a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> regresyon modelindeki a\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin say\u0131s\u0131d\u0131r.<\/li>\n<\/ul>\n<p> \ud83d\udc49 <u style=\"text-decoration-color:#FF8A05;\">D\u00fczeltilmi\u015f bir belirleme katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki hesap makinesini kullanabilirsiniz.<\/u><\/p>\n<p> D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 form\u00fcl\u00fcn\u00fc incelersek, bunun her zaman ayarlanmam\u0131\u015f belirleme katsay\u0131s\u0131ndan daha d\u00fc\u015f\u00fck olaca\u011f\u0131 sonucunu \u00e7\u0131karabiliriz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-del-coeficiente-de-determinacion-ajustado\"><\/span> D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n yorumlanmas\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu g\u00f6rd\u00fckten sonra bu b\u00f6l\u00fcmde de\u011ferinin nas\u0131l yorumlanaca\u011f\u0131n\u0131 g\u00f6rece\u011fiz.<\/p>\n<p> Tipik olarak, ayarlanm\u0131\u015f belirleme katsay\u0131s\u0131n\u0131n de\u011feri 0 ile 1 aras\u0131ndad\u0131r, ancak genellikle y\u00fczde olarak ifade edilir; minimum %0 ve maksimum %100&#8217;d\u00fcr.<\/p>\n<p> <strong>D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n yorumlanmas\u0131na<\/strong> ili\u015fkin olarak, de\u011feri ne kadar y\u00fcksek olursa, regresyon modeli veri \u00f6rne\u011fini o kadar iyi a\u00e7\u0131klar. Ba\u015fka bir deyi\u015fle d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 1&#8217;e ne kadar yak\u0131nsa model o kadar iyi olacakt\u0131r. \u00d6te yandan 0&#8217;a yakla\u015ft\u0131k\u00e7a \u00fcretilen regresyon modelinin g\u00fcvenilirli\u011fi de azalacakt\u0131r.<\/p>\n<p> Ayn\u0131 \u015fekilde elde edilen regresyon modelinin \u00f6nceki hipotezleri kar\u015f\u0131lad\u0131\u011f\u0131 da unutulmamal\u0131d\u0131r. \u00d6rne\u011fin, \u00e7ok y\u00fcksek d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131na sahip bir model, e\u011fer art\u0131klar\u0131n de\u011fi\u015fkenli\u011fi sabit de\u011filse (homoskedastiklik), \u00f6nceki varsay\u0131mlardan birini kar\u015f\u0131lamad\u0131\u011f\u0131 i\u00e7in i\u015fe yaramaz.<\/p>\n<p> Genel olarak, bir regresyon modelinde ne kadar \u00e7ok ba\u011f\u0131ms\u0131z de\u011fi\u015fken varsa, de\u011fi\u015fkenler anlaml\u0131 olmasa bile d\u00fczeltilmemi\u015f regresyon katsay\u0131s\u0131 o kadar y\u00fcksek olacakt\u0131r. Ancak regresyon modelinin \u00e7ok fazla de\u011fi\u015fkene sahip olmas\u0131 \u00f6nemli de\u011fildir, \u00e7\u00fcnk\u00fc bu durum modeli ve analizini zorla\u015ft\u0131rmaktad\u0131r.<\/p>\n<p> Ayarlanm\u0131\u015f belirleme katsay\u0131s\u0131 bu sorunu \u00e7\u00f6zer. Dahil edilen her de\u011fi\u015fken i\u00e7in ceza verilmesi, bir\u00e7ok modeli farkl\u0131 say\u0131da de\u011fi\u015fkenle kar\u015f\u0131la\u015ft\u0131rmam\u0131za ve bizi en \u00e7ok ilgilendiren modeli se\u00e7memize olanak tan\u0131r. Bu nedenle, farkl\u0131 regresyon modelleri aras\u0131nda kar\u015f\u0131la\u015ft\u0131rma yapmak i\u00e7in genellikle basit belirleme katsay\u0131s\u0131 yerine d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 kullan\u0131l\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-del-coeficiente-de-determinacion-ajustado\"><\/span> D\u00fczeltilmi\u015f Belirleme Katsay\u0131s\u0131 Hesaplay\u0131c\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in verileri a\u015fa\u011f\u0131daki \u00e7evrimi\u00e7i hesap makinesine girin. Say\u0131lar\u0131 ondal\u0131k ay\u0131r\u0131c\u0131 olarak noktay\u0131 kullanarak girmelisiniz, \u00f6rne\u011fin 0,8509.<\/p>\n<form action=\"\" method=\"post\">\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> D\u00fczeltilmemi\u015f belirleme katsay\u0131s\u0131 <span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c3ced6a195dc48de5d6296d0bdf1e2d9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"R^2= \" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"39\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"r\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" placeholder=\"0.7418\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el coeficiente de determinaci\u00f3n sin ajustar aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> \u00d6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc <span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-254b5c8ca8e3ab8f0723f77df97ae575_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N= \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"34\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"n\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" placeholder=\"30\" oninvalid=\"this.setCustomValidity('Introduce el tama\u00f1o de la muestra aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"margin-bottom:20px; margin-left:5%\"> <span style=\"color:#101010;font-weight: normal;\"><span style=\"color:#1C2C92\"><strong>\u27a4<\/strong><\/span> A\u00e7\u0131klay\u0131c\u0131 de\u011fi\u015fkenlerin say\u0131s\u0131 <span style=\"color:#1C2C92\"><strong>\u2192<\/strong><\/span><\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1071f90344315def255e92d3ed34746f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k= \" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: 0px;\"><\/p>\n<p><\/span> <input name=\"k\" placeholder=\"5\" style=\"border:1.5px solid #4FC3F7; border-radius:5px;  padding:7px; color:#000000; background-color:#EBF5FB; width:60px\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce el n\u00famero de variables explicativas aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/div>\n<div style=\"text-align:center\"><input align=\"center\" style=\"border-radius:30px; margin: 20px\" type=\"submit\" name=\"submit\" value=\"Hesaplamak\"><\/div>\n<\/form>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale, istatistikte d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n (veya d\u00fczeltilmi\u015f R karesinin) ne oldu\u011funu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 a\u00e7\u0131klamaktad\u0131r. Benzer \u015fekilde, d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131, nas\u0131l yorumlanaca\u011f\u0131n\u0131 ve ayr\u0131ca d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in \u00e7evrimi\u00e7i bir hesap makinesini ke\u015ffedeceksiniz. D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 nedir? D\u00fczeltilmi\u015f R kare olarak da adland\u0131r\u0131lan d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 , modele dahil edilen [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"class_list":["post-309","post","type-post","status-publish","format-standard","hentry","category-istatistik"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.3 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>D\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131 (d\u00fczeltilmi\u015f R kare)<\/title>\n<meta name=\"description\" content=\"Burada d\u00fczeltilmi\u015f belirleme katsay\u0131s\u0131n\u0131n (veya d\u00fczeltilmi\u015f R karenin) ne oldu\u011funu, nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) ve de\u011ferinin nas\u0131l yorumlanaca\u011f\u0131n\u0131 bulacaks\u0131n\u0131z.\" 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