{"id":141,"date":"2023-08-05T00:53:59","date_gmt":"2023-08-05T00:53:59","guid":{"rendered":"https:\/\/statorials.org\/tr\/asimetrik-dagilim\/"},"modified":"2023-08-05T00:53:59","modified_gmt":"2023-08-05T00:53:59","slug":"asimetrik-dagilim","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/asimetrik-dagilim\/","title":{"rendered":"Asimetrik da\u011f\u0131l\u0131m"},"content":{"rendered":"<p>Bu makalede \u00e7arp\u0131k da\u011f\u0131l\u0131mlar\u0131n ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. \u00c7arp\u0131k da\u011f\u0131l\u0131m \u00f6rnekleri ve ayr\u0131ca bir da\u011f\u0131l\u0131m\u0131n \u00e7arp\u0131kl\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-una-distribucion-asimetrica\"><\/span> \u00e7arp\u0131k da\u011f\u0131l\u0131m nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte <strong>\u00e7arp\u0131k da\u011f\u0131l\u0131m<\/strong> , ortalaman\u0131n solundaki de\u011ferlerin say\u0131s\u0131, ortalaman\u0131n sa\u011f\u0131ndaki de\u011fer say\u0131s\u0131ndan farkl\u0131 olan bir da\u011f\u0131l\u0131md\u0131r. Ba\u015fka bir deyi\u015fle asimetrik da\u011f\u0131l\u0131m, grafiksel g\u00f6steriminde asimetri bulunan da\u011f\u0131l\u0131md\u0131r.<\/p>\n<p> \u0130ki <strong>t\u00fcr asimetrik da\u011f\u0131l\u0131m<\/strong> vard\u0131r:<\/p>\n<ul>\n<li> <strong>Pozitif \u00e7arp\u0131k da\u011f\u0131l\u0131m<\/strong> : Da\u011f\u0131l\u0131m\u0131n ortalaman\u0131n sa\u011f\u0131nda, solunda oldu\u011fundan daha farkl\u0131 de\u011ferleri vard\u0131r.<\/li>\n<li> <strong>Negatif \u00e7arp\u0131k da\u011f\u0131l\u0131m<\/strong> : Da\u011f\u0131l\u0131m\u0131n ortalaman\u0131n solunda sa\u011f\u0131na g\u00f6re daha farkl\u0131 de\u011ferleri vard\u0131r.<\/li>\n<\/ul>\n<p> \u00d6rne\u011fin \u00fcstel da\u011f\u0131l\u0131m asimetrik bir da\u011f\u0131l\u0131md\u0131r. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplos-de-distribuciones-asimetricas\"><\/span> \u00c7arp\u0131k da\u011f\u0131l\u0131m \u00f6rnekleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Art\u0131k \u00e7arp\u0131k da\u011f\u0131l\u0131m\u0131n tan\u0131m\u0131n\u0131 bildi\u011fimize g\u00f6re, kavram\u0131 tam olarak anlamak i\u00e7in birka\u00e7 \u00f6rne\u011fe bakal\u0131m.<\/p>\n<p> A\u015fa\u011f\u0131daki \u00f6rnekte, sa\u011f kuyruk sol kuyruktan daha b\u00fcy\u00fck oldu\u011fundan pozitif \u00e7arp\u0131k bir da\u011f\u0131l\u0131m g\u00f6rebilirsiniz. Ba\u015fka bir deyi\u015fle da\u011f\u0131l\u0131m, ortalaman\u0131n sa\u011f\u0131nda, solunda oldu\u011fundan daha fazla de\u011fere sahiptir. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/asymetrie-positive.png\" alt=\"pozitif \u00e7arp\u0131k da\u011f\u0131l\u0131m\" class=\"wp-image-2687\" width=\"305\" height=\"304\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u00d6te yandan a\u015fa\u011f\u0131da negatif \u00e7arp\u0131k da\u011f\u0131l\u0131ma bir \u00f6rnek verilmi\u015ftir. Bu da\u011f\u0131l\u0131m negatif \u00e7arp\u0131kl\u0131\u011fa sahiptir \u00e7\u00fcnk\u00fc ortalaman\u0131n solunda sa\u011f\u0131ndan daha fazla de\u011fere sahiptir. <\/p>\n<figure class=\"wp-block-image aligncenter size-full is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/asymetrie-negative.png\" alt=\"\" class=\"wp-image-2702\" width=\"305\" height=\"305\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Ayr\u0131ca simetrik da\u011f\u0131l\u0131mlar\u0131n da oldu\u011funu unutmamal\u0131s\u0131n\u0131z. Simetrik da\u011f\u0131l\u0131m \u00f6rneklerini g\u00f6rmek i\u00e7in a\u015fa\u011f\u0131daki ba\u011flant\u0131ya t\u0131klay\u0131n: <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/simetrik-dagilim-1\/\">simetrik da\u011f\u0131l\u0131m<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"como-saber-si-una-distribucion-es-asimetrica\"><\/span> Bir da\u011f\u0131l\u0131m\u0131n \u00e7arp\u0131k olup olmad\u0131\u011f\u0131 nas\u0131l anla\u015f\u0131l\u0131r?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Geleneksel olarak bir da\u011f\u0131l\u0131m\u0131n \u00e7arp\u0131kl\u0131\u011f\u0131n\u0131n, ortalamas\u0131 ile medyan\u0131 aras\u0131ndaki ili\u015fkiye g\u00f6re belirlenebilece\u011fi a\u00e7\u0131klanmaktad\u0131r. Ancak bu \u00f6zellik her zaman do\u011fru de\u011fildir. Bu nedenle bir da\u011f\u0131l\u0131m\u0131n e\u011frisinin nas\u0131l g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc bilmek i\u00e7in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n hesaplanmas\u0131 gerekir.<\/p>\n<p> Dolay\u0131s\u0131yla bir da\u011f\u0131l\u0131m\u0131n simetrik olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in Pearson asimetri katsay\u0131s\u0131n\u0131n hesaplanmas\u0131 gerekir; bunun form\u00fcl\u00fc \u015fu \u015fekildedir:<\/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-c8f46cbf70a6a496ac36355ebfd70827_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_p=\\cfrac{\\mu-Mo}{\\sigma}\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"108\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Alt\u0131n<\/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-605ba5e37ad8f2e92b2248f02c3a090f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_p\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"20\" style=\"vertical-align: -6px;\"><\/p>\n<p> Pearson katsay\u0131s\u0131d\u0131r,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> aritmetik ortalama,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-56c0033b7da6d7997aeec99c3967c421_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Mo\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"28\" style=\"vertical-align: 0px;\"><\/p>\n<p> moda (istatistik) ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> Standart sapma.<\/p>\n<p> Dolay\u0131s\u0131yla Pearson asimetri katsay\u0131s\u0131n\u0131n i\u015faretine ba\u011fl\u0131 olarak da\u011f\u0131l\u0131m simetrik veya asimetrik olacakt\u0131r:<\/p>\n<ul>\n<li> Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n pozitif olmas\u0131 da\u011f\u0131l\u0131m\u0131n pozitif \u00e7arp\u0131k oldu\u011fu anlam\u0131na gelir.<\/li>\n<li> Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n negatif olmas\u0131 da\u011f\u0131l\u0131m\u0131n negatif \u00e7arp\u0131k oldu\u011fu anlam\u0131na gelir.<\/li>\n<li> Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n s\u0131f\u0131r olmas\u0131 da\u011f\u0131l\u0131m\u0131n simetrik oldu\u011fu anlam\u0131na gelir.<\/li>\n<\/ul>\n<p> Ancak Pearson katsay\u0131s\u0131 ancak da\u011f\u0131l\u0131m\u0131n tek modlu olmas\u0131 durumunda hesaplanabilir, aksi takdirde form\u00fcl\u00fc a\u015fa\u011f\u0131daki gibi olan Fisher asimetri katsay\u0131s\u0131n\u0131n kullan\u0131lmas\u0131 gerekir:<\/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-17fec004daa41a09c4ec2990d4dcc374_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\displaystyle \\sum_{i=1}^N\\left(x_i-\\mu\\right)^3}{N\\cdot \\sigma ^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"141\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Alt\u0131n<\/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-05d9eae892416bd34247a25207f8b718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\mu\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"11\" style=\"vertical-align: -4px;\"><\/p>\n<p> aritmetik ortalama,<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-eaaf379fee5e67946f3fedf5631047b1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> standart sapma ve<\/p>\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> toplam veri say\u0131s\u0131.<\/p>\n<p> Fisher asimetri katsay\u0131s\u0131n\u0131n yorumu Pearson katsay\u0131s\u0131 ile ayn\u0131d\u0131r: Pozitifse da\u011f\u0131l\u0131m\u0131n pozitif asimetrik oldu\u011fu, negatifse da\u011f\u0131l\u0131m\u0131n negatif asimetrik oldu\u011fu ve s\u0131f\u0131rsa da\u011f\u0131l\u0131m\u0131n oldu\u011fu anlam\u0131na gelir. simetriktir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede \u00e7arp\u0131k da\u011f\u0131l\u0131mlar\u0131n ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. \u00c7arp\u0131k da\u011f\u0131l\u0131m \u00f6rnekleri ve ayr\u0131ca bir da\u011f\u0131l\u0131m\u0131n \u00e7arp\u0131kl\u0131\u011f\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131n\u0131 bulacaks\u0131n\u0131z. \u00e7arp\u0131k da\u011f\u0131l\u0131m nedir? \u0130statistikte \u00e7arp\u0131k da\u011f\u0131l\u0131m , ortalaman\u0131n solundaki de\u011ferlerin say\u0131s\u0131, ortalaman\u0131n sa\u011f\u0131ndaki de\u011fer say\u0131s\u0131ndan farkl\u0131 olan bir da\u011f\u0131l\u0131md\u0131r. Ba\u015fka bir deyi\u015fle asimetrik da\u011f\u0131l\u0131m, grafiksel g\u00f6steriminde asimetri bulunan da\u011f\u0131l\u0131md\u0131r. \u0130ki t\u00fcr asimetrik da\u011f\u0131l\u0131m vard\u0131r: Pozitif \u00e7arp\u0131k da\u011f\u0131l\u0131m [&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-141","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>\u25b7 Asimetrik da\u011f\u0131l\u0131m nedir? 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