{"id":1754,"date":"2023-07-25T03:16:01","date_gmt":"2023-07-25T03:16:01","guid":{"rendered":"https:\/\/statorials.org\/tr\/monoton-iliski\/"},"modified":"2023-07-25T03:16:01","modified_gmt":"2023-07-25T03:16:01","slug":"monoton-iliski","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/monoton-iliski\/","title":{"rendered":"Monoton ili\u015fki nedir? (tan\u0131m + \u00f6rnekler)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130statistikte, iki de\u011fi\u015fken aras\u0131ndaki <strong>monotonik ili\u015fki<\/strong> , bir de\u011fi\u015fkendeki de\u011fi\u015fikli\u011fin genellikle ba\u015fka bir de\u011fi\u015fkendeki belirli bir y\u00f6ndeki de\u011fi\u015fiklikle ili\u015fkilendirildi\u011fi bir senaryoyu ifade eder.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki t\u00fcr monotonik ili\u015fki vard\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Pozitif monotonik:<\/strong> Bir de\u011fi\u015fkenin de\u011feri artt\u0131\u011f\u0131nda di\u011fer de\u011fi\u015fkenin de\u011feri de artma e\u011filimindedir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17179 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mono1.png\" alt=\"Olumlu monoton ili\u015fki\" width=\"473\" height=\"384\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Negatif monotonik:<\/strong> Bir de\u011fi\u015fkenin de\u011feri artt\u0131\u011f\u0131nda di\u011fer de\u011fi\u015fkenin de\u011feri d\u00fc\u015fme e\u011filimindedir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17180\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lundi2.png\" alt=\"Negatif monotonik ili\u015fki\" width=\"484\" height=\"388\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken genel olarak ayn\u0131 y\u00f6nde de\u011fi\u015fmiyorsa <strong>monotonik olmayan bir ili\u015fkiye<\/strong> sahip olduklar\u0131 s\u00f6ylenir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u0130ki de\u011fi\u015fken aras\u0131ndaki monotonik olmayan ili\u015fkiye bir \u00f6rnek:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17181 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lundi3.png\" alt=\"Monoton olmayan ili\u015fki\" width=\"504\" height=\"407\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ve i\u015fte iki de\u011fi\u015fken aras\u0131ndaki monoton olmayan ili\u015fkinin ba\u015fka bir \u00f6rne\u011fi:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-17184 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/mon6.png\" alt=\"\" width=\"497\" height=\"395\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">X&#8217;in de\u011feri artt\u0131k\u00e7a <em>bazen<\/em> y&#8217;nin de\u011feri artar, bazen de y&#8217;nin de\u011feri <em>azal\u0131r<\/em> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Kesinlikle monoton veya kesinlikle monoton de\u011fil<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir de\u011fi\u015fkendeki de\u011fi\u015fiklik <em>her zaman<\/em> ba\u015fka bir de\u011fi\u015fkende ayn\u0131 y\u00f6nde bir de\u011fi\u015fiklikle ili\u015fkilendiriliyorsa, iki de\u011fi\u015fkenin <strong>kesinlikle monotonik<\/strong> bir ili\u015fkiye sahip oldu\u011fu s\u00f6ylenir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u00d6rne\u011fin, a\u015fa\u011f\u0131daki grafik iki de\u011fi\u015fken aras\u0131ndaki kesinlikle pozitif monotonik ili\u015fkiyi g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17182\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lundi4.png\" alt=\"Tamamen monoton bir ili\u015fki\" width=\"490\" height=\"402\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">X&#8217;in de\u011feri artt\u0131k\u00e7a y&#8217;nin de\u011feri de <em>her zaman<\/em> artar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki grafik, iki de\u011fi\u015fken aras\u0131ndaki kesinlikle negatif monotonik ili\u015fkiyi g\u00f6stermektedir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-17183 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/lundi5.png\" alt=\"kesinlikle negatif monoton\" width=\"508\" height=\"406\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">X&#8217;in de\u011feri artt\u0131k\u00e7a y&#8217;nin de\u011feri <em>daima<\/em> azal\u0131r.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Monotonik ili\u015fkiler nas\u0131l \u00f6l\u00e7\u00fcl\u00fcr?<\/strong><\/span><\/h3>\n<p> \u0130ki de\u011fi\u015fken aras\u0131ndaki ili\u015fkiyi \u00f6l\u00e7menin en yayg\u0131n yolu, <span style=\"color: #000000;\">iki de\u011fi\u015fken aras\u0131ndaki do\u011frusal ili\u015fkiyi \u00f6l\u00e7en<\/span> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/pearson-korelasyon-katsayisi-1\/\" target=\"_blank\" rel=\"noopener\">Pearson korelasyon katsay\u0131s\u0131n\u0131<\/a> kullanmakt\u0131r<\/span> .<\/p>\n<p> <span style=\"color: #000000;\">Bu katsay\u0131 her zaman -1 ile 1 aras\u0131nda bir de\u011fer al\u0131r; burada:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">-1, iki de\u011fi\u015fken aras\u0131nda tamamen negatif bir do\u011frusal korelasyonu g\u00f6sterir<\/span><\/li>\n<li> <span style=\"color: #000000;\">0, iki de\u011fi\u015fken aras\u0131nda do\u011frusal bir korelasyon olmad\u0131\u011f\u0131n\u0131 g\u00f6sterir<\/span><\/li>\n<li> <span style=\"color: #000000;\">1, iki de\u011fi\u015fken aras\u0131nda m\u00fckemmel pozitif do\u011frusal bir korelasyonu g\u00f6sterir<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Katsay\u0131 1&#8217;e ne kadar yak\u0131nsa, iki de\u011fi\u015fken aras\u0131ndaki pozitif ili\u015fki o kadar g\u00fc\u00e7l\u00fcd\u00fcr. Tersine, katsay\u0131 -1&#8217;e ne kadar yak\u0131nsa, iki de\u011fi\u015fken aras\u0131ndaki negatif ili\u015fki o kadar g\u00fc\u00e7l\u00fcd\u00fcr.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bununla birlikte, iki de\u011fi\u015fken aras\u0131ndaki ili\u015fki monoton ancak do\u011frusal de\u011filse (\u00fcstel bir ili\u015fki gibi), o zaman monoton ili\u015fkileri iyi bir \u015fekilde ele almak \u00fczere tasarlanm\u0131\u015f olan <a href=\"https:\/\/statorials.org\/tr\/spearman-korelasyonu-nasil-rapor-edilir\/\" target=\"_blank\" rel=\"noopener\">Spearman Rank korelasyonunu<\/a> kullanmak iyi bir fikirdir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hesaplad\u0131\u011f\u0131n\u0131z korelasyon katsay\u0131s\u0131n\u0131n t\u00fcr\u00fc ne olursa olsun, de\u011fi\u015fkenler aras\u0131ndaki ili\u015fkiyi de g\u00f6rselle\u015ftirmek i\u00e7in bir da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturmak her zaman iyi bir fikirdir.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistikte, iki de\u011fi\u015fken aras\u0131ndaki monotonik ili\u015fki , bir de\u011fi\u015fkendeki de\u011fi\u015fikli\u011fin genellikle ba\u015fka bir de\u011fi\u015fkendeki belirli bir y\u00f6ndeki de\u011fi\u015fiklikle ili\u015fkilendirildi\u011fi bir senaryoyu ifade eder. \u0130ki t\u00fcr monotonik ili\u015fki vard\u0131r: Pozitif monotonik: Bir de\u011fi\u015fkenin de\u011feri artt\u0131\u011f\u0131nda di\u011fer de\u011fi\u015fkenin de\u011feri de artma e\u011filimindedir. Negatif monotonik: Bir de\u011fi\u015fkenin de\u011feri artt\u0131\u011f\u0131nda di\u011fer de\u011fi\u015fkenin de\u011feri d\u00fc\u015fme e\u011filimindedir. \u0130ki de\u011fi\u015fken genel olarak [&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-1754","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>Monoton ili\u015fki nedir? 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