{"id":140,"date":"2023-08-05T01:17:41","date_gmt":"2023-08-05T01:17:41","guid":{"rendered":"https:\/\/statorials.org\/tr\/duzlestirme-katsayisi\/"},"modified":"2023-08-05T01:17:41","modified_gmt":"2023-08-05T01:17:41","slug":"duzlestirme-katsayisi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/duzlestirme-katsayisi\/","title":{"rendered":"D\u00fczle\u015ftirme katsay\u0131s\u0131"},"content":{"rendered":"<p>Bu makalede bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n ne oldu\u011fu ve bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 anlat\u0131lmaktad\u0131r. Bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n form\u00fcl\u00fcn\u00fc, sonucunun nas\u0131l yorumland\u0131\u011f\u0131n\u0131 bulacaks\u0131n\u0131z ve ayr\u0131ca \u00e7evrimi\u00e7i bir hesap makinesiyle herhangi bir veri \u00f6rne\u011finin bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131 hesaplayabileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-coeficiente-de-curtosis\"><\/span> Bas\u0131kl\u0131k katsay\u0131s\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Bas\u0131kl\u0131k katsay\u0131s\u0131<\/strong> , bir da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131n\u0131 belirlemenizi sa\u011flayan bir katsay\u0131d\u0131r. Ba\u015fka bir deyi\u015fle bas\u0131kl\u0131k katsay\u0131s\u0131 bir da\u011f\u0131l\u0131m\u0131n leptokurtik, platikurtik veya mezokurtik olup olmad\u0131\u011f\u0131n\u0131 bilmek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> Bas\u0131kl\u0131k, bir da\u011f\u0131l\u0131m\u0131n ortalama etraf\u0131nda yo\u011funla\u015fma derecesini g\u00f6steren bir \u00f6zelli\u011fidir; dolay\u0131s\u0131yla bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n hesaplanmas\u0131, bir da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131n\u0131 \u00f6l\u00e7meye yard\u0131mc\u0131 olur. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-coeficiente-de-curtosis\"><\/span> Bas\u0131kl\u0131k Katsay\u0131s\u0131 Form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in, \u00f6nce veriler ile d\u00f6rde y\u00fckseltilmi\u015f ortalama aras\u0131ndaki t\u00fcm farklar\u0131 toplaman\u0131z, ard\u0131ndan toplam veri say\u0131s\u0131na ve d\u00f6rde y\u00fckseltilmi\u015f standart sapmaya b\u00f6lmeniz ve son olarak \u00fc\u00e7\u00fc \u00e7\u0131karman\u0131z gerekir. .<\/p>\n<p> Ba\u015fka bir deyi\u015fle <strong>bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n form\u00fcl\u00fc<\/strong> \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-90817c2e65eaadd93ca788fd87067144_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle g_2=\\frac{1}{N}\\cdot\\frac{\\displaystyle \\sum_{i=1}^N(x_i-\\mu)^4}{\\sigma^4}-3\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"202\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> <strong>Frekans tablolar\u0131nda gruplanan veriler<\/strong> i\u00e7in bas\u0131kl\u0131k katsay\u0131s\u0131 form\u00fcl\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-d7d2fd2426582c6ec35fab553a2922be_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle g_2=\\frac{1}{N}\\cdot\\frac{\\displaystyle \\sum_{i=1}^N f_i\\cdot(x_i-\\mu)^4}{\\sigma^4}-3\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"232\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Son olarak <strong>grupland\u0131r\u0131lm\u0131\u015f veriler<\/strong> i\u00e7in bas\u0131kl\u0131k katsay\u0131s\u0131 form\u00fcl\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-46118fdded8bfd0f49b423b704893f96_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle g_2=\\frac{1}{N}\\cdot\\frac{\\displaystyle \\sum_{i=1}^N f_i\\cdot(c_i-\\mu)^4}{\\sigma^4}-3\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"230\" 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-056a86612914d05ca2e8e22994a8ac69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"g_2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"15\" style=\"vertical-align: -4px;\"><\/p>\n<p> bas\u0131kl\u0131k 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-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\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-dad27a9703483183e1afd245f5232b83_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"x_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> serideki i&#8217;inci veri noktas\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-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> da\u011f\u0131l\u0131m\u0131n <a href=\"https:\/\/statorials.org\/tr\/aritmetik-ortalama\/\">aritmetik ortalamas\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-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> da\u011f\u0131l\u0131m\u0131n <a href=\"https:\/\/statorials.org\/tr\/standart-sapma-veya-standart-sapma\/\">standart sapmas\u0131 (veya tipik sapmas\u0131)<\/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-fcb89ec1b112c79bfb56f1c210f6bb67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"f_i\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"14\" style=\"vertical-align: -4px;\"><\/p>\n<p> BT veri setinin mutlak frekans\u0131d\u0131r.<\/li>\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1f20a6892ce371ba90592748cd2c20ff_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c_i\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"13\" style=\"vertical-align: -3px;\"><\/p>\n<p> i&#8217;inci grubun s\u0131n\u0131f i\u015faretidir.<\/li>\n<\/ul>\n<p> T\u00fcm bas\u0131kl\u0131k katsay\u0131s\u0131 form\u00fcllerinde, normal da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131n de\u011feri oldu\u011fundan 3&#8217;\u00fcn \u00e7\u0131kar\u0131ld\u0131\u011f\u0131na dikkat edin. Bu nedenle bas\u0131kl\u0131k katsay\u0131s\u0131, normal da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131 referans al\u0131narak hesaplan\u0131r. Bu nedenle bazen istatistiklerde <strong>a\u015f\u0131r\u0131 bas\u0131kl\u0131\u011f\u0131n<\/strong> hesapland\u0131\u011f\u0131 s\u00f6ylenir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-del-coeficiente-de-curtosis\"><\/span> Bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n yorumlanmas\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n yorumu<\/strong> a\u015fa\u011f\u0131daki gibidir:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bas\u0131kl\u0131k katsay\u0131s\u0131 pozitif ise da\u011f\u0131l\u0131m leptokurtiktir.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bas\u0131kl\u0131k katsay\u0131s\u0131 s\u0131f\u0131r ise da\u011f\u0131l\u0131m mezokurtiktir.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Bas\u0131kl\u0131k katsay\u0131s\u0131 negatif ise da\u011f\u0131l\u0131m platikurtiktir.<\/span> <\/li>\n<\/ul>\n<figure class=\"wp-block-image aligncenter size-large is-resized\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/types-daplatissement.png\" alt=\"iltifat t\u00fcrleri\" class=\"wp-image-3045\" width=\"742\" height=\"188\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> K\u0131saca bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n b\u00fcy\u00fck olmas\u0131, da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131n\u0131n fazla oldu\u011fu anlam\u0131na gelirken, bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n k\u00fc\u00e7\u00fck olmas\u0131 ise da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131n\u0131n az oldu\u011fu anlam\u0131na gelir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"calculadora-del-coeficiente-de-curtosis\"><\/span> D\u00fczle\u015ftirme Katsay\u0131s\u0131 Hesaplay\u0131c\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in bir veri setini a\u015fa\u011f\u0131daki hesap makinesine tak\u0131n. Veriler bir bo\u015flukla ayr\u0131lmal\u0131 ve ondal\u0131k ay\u0131r\u0131c\u0131 olarak nokta kullan\u0131larak girilmelidir. <\/p>\n<form action=\"\" method=\"post\"><textarea name=\"datos\" style=\"border:1.5px solid #4FC3F7; border-radius:15px;\" placeholder=\"1 2 3 9.7 10 65.91 ...\" required=\"\" oninvalid=\"this.setCustomValidity('Introduce los datos aqu\u00ed')\" oninput=\"this.setCustomValidity('')\"><\/textarea><\/p>\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<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-del-coeficiente-de-curtosis\"><\/span> Bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n \u00f6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bas\u0131kl\u0131k katsay\u0131s\u0131 a\u015fa\u011f\u0131daki \u00f6zelliklere sahiptir:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bas\u0131kl\u0131k katsay\u0131s\u0131 boyutsuz bir \u00f6l\u00e7\u00fcd\u00fcr.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bas\u0131kl\u0131k katsay\u0131s\u0131, normal da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131 (g <sub>2<\/sub> =3) referans olarak kullan\u0131larak hesaplan\u0131r.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Bas\u0131kl\u0131k katsay\u0131s\u0131 \u00f6l\u00e7ekteki de\u011fi\u015fikliklere g\u00f6re de\u011fi\u015fmez, yani istatistiksel de\u011fi\u015fkene do\u011frusal bir d\u00f6n\u00fc\u015f\u00fcm uygulansa bile bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n de\u011feri ayn\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n ne oldu\u011fu ve bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n nas\u0131l hesaplanaca\u011f\u0131 anlat\u0131lmaktad\u0131r. Bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n form\u00fcl\u00fcn\u00fc, sonucunun nas\u0131l yorumland\u0131\u011f\u0131n\u0131 bulacaks\u0131n\u0131z ve ayr\u0131ca \u00e7evrimi\u00e7i bir hesap makinesiyle herhangi bir veri \u00f6rne\u011finin bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131 hesaplayabileceksiniz. Bas\u0131kl\u0131k katsay\u0131s\u0131 nedir? Bas\u0131kl\u0131k katsay\u0131s\u0131 , bir da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131n\u0131 belirlemenizi sa\u011flayan bir katsay\u0131d\u0131r. Ba\u015fka bir deyi\u015fle bas\u0131kl\u0131k katsay\u0131s\u0131 bir da\u011f\u0131l\u0131m\u0131n leptokurtik, platikurtik veya [&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-140","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\u00fczle\u015ftirme katsay\u0131s\u0131: form\u00fcl, yorumlama ve hesap makinesi<\/title>\n<meta name=\"description\" content=\"Burada bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n ne oldu\u011funu, nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) ve bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in bir hesap makinesi bulacaks\u0131n\u0131z.\" \/>\n<meta name=\"robots\" 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