{"id":145,"date":"2023-08-04T23:57:34","date_gmt":"2023-08-04T23:57:34","guid":{"rendered":"https:\/\/statorials.org\/tr\/sekil-olcumleri\/"},"modified":"2023-08-04T23:57:34","modified_gmt":"2023-08-04T23:57:34","slug":"sekil-olcumleri","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/sekil-olcumleri\/","title":{"rendered":"\u015eekil \u00f6l\u00e7\u00fcmleri"},"content":{"rendered":"<p>Bu makalede \u015fekil \u00f6l\u00e7\u00fcmlerinin ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece \u015fekil metriklerinin ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131, \u015fekil metriklerinin nas\u0131l yorumland\u0131\u011f\u0131n\u0131 ve bu t\u00fcr istatistiksel metriklerin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 \u00f6\u011freneceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-son-las-medidas-de-forma\"><\/span> \u015eekil \u00f6l\u00e7\u00fcleri nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte <strong>\u015fekil \u00f6l\u00e7\u00fcleri<\/strong> , bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131 \u015fekline g\u00f6re tan\u0131mlamam\u0131z\u0131 sa\u011flayan g\u00f6stergelerdir. Yani \u015fekil \u00f6l\u00e7\u00fcmleri, bir da\u011f\u0131l\u0131m\u0131n grafi\u011fini \u00e7izmeye gerek kalmadan neye benzedi\u011fini belirlemek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> \u0130ki t\u00fcr \u015fekil \u00f6l\u00e7\u00fcm\u00fc vard\u0131r: \u00e7arp\u0131kl\u0131k ve bas\u0131kl\u0131k. \u00c7arp\u0131kl\u0131k bir da\u011f\u0131l\u0131m\u0131n ne kadar simetrik oldu\u011funu g\u00f6sterirken bas\u0131kl\u0131k bir da\u011f\u0131l\u0131m\u0131n ortalama etraf\u0131nda ne kadar yo\u011funla\u015ft\u0131\u011f\u0131n\u0131 g\u00f6sterir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfcuales-son-las-medidas-de-forma\"><\/span> \u015eekil \u00f6l\u00e7\u00fcleri nelerdir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u015eekil \u00f6l\u00e7\u00fclerinin tan\u0131m\u0131 g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda, bu b\u00f6l\u00fcmde bu t\u00fcr istatistiksel parametrelerin neler oldu\u011fu g\u00f6sterilmektedir.<\/p>\n<p> \u0130statistikte iki bi\u00e7im \u00f6l\u00e7\u00fcs\u00fcn\u00fc ay\u0131rt ederiz:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:10px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>\u00c7arp\u0131kl\u0131k<\/strong> : Bir da\u011f\u0131l\u0131m\u0131n simetrik mi yoksa asimetrik mi oldu\u011funu belirtir.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>Bas\u0131kl\u0131k<\/strong> \u2013 Bir da\u011f\u0131l\u0131m\u0131n dik mi yoksa d\u00fcz m\u00fc oldu\u011funu g\u00f6sterir.<\/span><\/li>\n<\/ul>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"asimetria\"><\/span> Asimetri<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> \u00dc\u00e7 <strong>t\u00fcr asimetri<\/strong> vard\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Pozitif asimetri<\/strong> : Da\u011f\u0131l\u0131m\u0131n ortalaman\u0131n sa\u011f\u0131nda soluna g\u00f6re daha farkl\u0131 de\u011ferleri vard\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Simetri<\/strong> : Da\u011f\u0131l\u0131m, ortalaman\u0131n solunda ve ortalaman\u0131n sa\u011f\u0131nda ayn\u0131 say\u0131da de\u011fere sahiptir.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>Negatif \u00e7arp\u0131kl\u0131k<\/strong> : Da\u011f\u0131l\u0131m\u0131n ortalaman\u0131n solunda sa\u011f\u0131na g\u00f6re daha farkl\u0131 de\u011ferleri vard\u0131r.<\/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\/statistiques-types-dasymetrie.png\" alt=\"asimetri t\u00fcrleri\" class=\"wp-image-2983\" width=\"648\" height=\"196\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-asimetria\"><\/span> asimetri katsay\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p> <strong>\u00c7arp\u0131kl\u0131k katsay\u0131s\u0131<\/strong> veya <strong>asimetri indeksi<\/strong> , bir da\u011f\u0131l\u0131m\u0131n asimetrisini belirlemeye yard\u0131mc\u0131 olan istatistiksel bir katsay\u0131d\u0131r. B\u00f6ylece asimetri katsay\u0131s\u0131 hesaplanarak da\u011f\u0131l\u0131m\u0131n asimetri tipinin grafiksel g\u00f6sterimine gerek kalmadan bilinmesi m\u00fcmk\u00fcn olur.<\/p>\n<p> Asimetri katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in farkl\u0131 form\u00fcller olsa da ve hepsini a\u015fa\u011f\u0131da g\u00f6rece\u011fiz, kullan\u0131lan form\u00fcl ne olursa olsun asimetri katsay\u0131s\u0131n\u0131n yorumlanmas\u0131 her zaman \u015fu \u015fekilde yap\u0131l\u0131r: <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 20px; border: 2.5px dashed #FF8A05; border-radius:20px;\">\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u00c7arp\u0131kl\u0131k katsay\u0131s\u0131 pozitif ise da\u011f\u0131l\u0131m <strong>pozitif \u00e7arp\u0131kt\u0131r<\/strong> .<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">\u00c7arp\u0131kl\u0131k katsay\u0131s\u0131 s\u0131f\u0131r ise da\u011f\u0131l\u0131m <strong>simetriktir<\/strong> .<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">\u00c7arp\u0131kl\u0131k katsay\u0131s\u0131 negatif ise da\u011f\u0131l\u0131m <strong>negatif \u00e7arp\u0131kt\u0131r<\/strong> .<\/span><\/li>\n<\/ul>\n<\/div>\n<h5 class=\"wp-block-heading\"> Fisher&#8217;in asimetri katsay\u0131s\u0131<\/h5>\n<p> Fisher&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131, ortalamaya g\u00f6re \u00fc\u00e7\u00fcnc\u00fc momentin numune standart sapmas\u0131na b\u00f6l\u00fcnmesine e\u015fittir. Bu nedenle <strong>Fisher&#8217;in asimetri katsay\u0131s\u0131n\u0131n form\u00fcl\u00fc<\/strong> \u015f\u00f6yledir:<\/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-224ee5bd016c7e0dd70260d2e9d40c9f_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\mu_3}{\\sigma^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"32\" width=\"61\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> E\u015fde\u011fer olarak, Fisher katsay\u0131s\u0131n\u0131 hesaplamak i\u00e7in a\u015fa\u011f\u0131daki iki form\u00fclden herhangi biri kullan\u0131labilir:<\/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 class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-92f7c8482d520258f24cc0166d898d1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\gamma_1=\\frac{\\operatorname{E}[X^3] - 3\\mu\\sigma^2 - \\mu^3}{\\sigma^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"188\" 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-638a7387bd72763290cc777a9b509c38_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> matematiksel beklenti,<\/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> \u00d6te yandan veriler grupland\u0131r\u0131lm\u0131\u015fsa a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullanabilirsiniz:<\/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-5c26470126d254018437efec48228b8d_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\\cdot f_i}{N\\cdot \\sigma ^3}\" title=\"Rendered by QuickLaTeX.com\" height=\"73\" width=\"167\" style=\"vertical-align: -12px;\"><\/p>\n<\/p>\n<p> Bu durumda nerede<\/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-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> Bu s\u0131n\u0131f i\u015faretidir ve<\/p>\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> kursun mutlak s\u0131kl\u0131\u011f\u0131.<\/p>\n<h5 class=\"wp-block-heading\"> Pearson&#8217;un asimetri katsay\u0131s\u0131<\/h5>\n<p> Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131, \u00f6rnek ortalama ile mod aras\u0131ndaki fark\u0131n standart sapmaya (veya standart sapmaya) b\u00f6l\u00fcnmesine e\u015fittir. <strong>Pearson asimetri katsay\u0131s\u0131n\u0131n form\u00fcl\u00fc<\/strong> bu nedenle 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-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 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> Pearson \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131n\u0131n yaln\u0131zca tek modlu bir da\u011f\u0131l\u0131m olmas\u0131, yani verilerde yaln\u0131zca bir mod olmas\u0131 durumunda hesaplanabilece\u011fini unutmay\u0131n.<\/p>\n<h5 class=\"wp-block-heading\"> Bowley&#8217;in asimetri katsay\u0131s\u0131<\/h5>\n<p> <strong>Bowley&#8217;in \u00e7arp\u0131kl\u0131k katsay\u0131s\u0131,<\/strong> \u00fc\u00e7\u00fcnc\u00fc \u00e7eyrek art\u0131 birinci \u00e7eyrek eksi medyan\u0131n iki kat\u0131n\u0131n toplam\u0131n\u0131n \u00fc\u00e7\u00fcnc\u00fc ve birinci \u00e7eyrekler aras\u0131ndaki farka b\u00f6l\u00fcnmesine e\u015fittir. Dolay\u0131s\u0131yla bu asimetri katsay\u0131s\u0131n\u0131n form\u00fcl\u00fc 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-24abc41ba1a786517a247ed5fa9c3b62_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A_B=\\cfrac{Q_3+Q_1-2\\cdot Me}{Q_3-Q_1}\" title=\"Rendered by QuickLaTeX.com\" height=\"42\" width=\"187\" style=\"vertical-align: -16px;\"><\/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-2744445ab7dd299c95ac769e920ad8c9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_1\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"20\" style=\"vertical-align: -4px;\"><\/p>\n<p> Ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-cbf298d83b612ef6bc223927f80f4431_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Q_3\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"21\" style=\"vertical-align: -4px;\"><\/p>\n<p> s\u0131ras\u0131yla birinci ve \u00fc\u00e7\u00fcnc\u00fc \u00e7eyreklerdir ve<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-bf2deabe8920b42ebbefee4f63393db1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"Me\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"27\" style=\"vertical-align: 0px;\"><\/p>\n<p> da\u011f\u0131l\u0131m\u0131n medyan\u0131d\u0131r.<\/p>\n<h3 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"curtosis\"><\/span> D\u00fczle\u015ftirme<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p> <strong>\u00c7arp\u0131kl\u0131k<\/strong> olarak da adland\u0131r\u0131lan <strong>bas\u0131kl\u0131k<\/strong> , bir da\u011f\u0131l\u0131m\u0131n ortalama etraf\u0131nda ne kadar yo\u011funla\u015ft\u0131\u011f\u0131n\u0131 g\u00f6sterir. Ba\u015fka bir deyi\u015fle bas\u0131kl\u0131k, bir da\u011f\u0131l\u0131m\u0131n dik mi yoksa d\u00fcz m\u00fc oldu\u011funu g\u00f6sterir. Spesifik olarak, bir da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131 ne kadar b\u00fcy\u00fck olursa, o kadar dik (veya daha keskin) olur. <\/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\/aplatissement-statistique.png\" alt=\"gurur verici\" class=\"wp-image-3063\" width=\"346\" height=\"225\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u00dc\u00e7 <strong>t\u00fcr dalkavukluk<\/strong> vard\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Leptokurtik<\/strong> : da\u011f\u0131l\u0131m \u00e7ok sivridir, yani veriler ortalaman\u0131n etraf\u0131nda g\u00fc\u00e7l\u00fc bir \u015fekilde yo\u011funla\u015fm\u0131\u015ft\u0131r. Daha do\u011frusu leptokurtik da\u011f\u0131l\u0131mlar normal da\u011f\u0131l\u0131ma g\u00f6re daha keskin da\u011f\u0131l\u0131mlar olarak tan\u0131mlanmaktad\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Mezokurtik<\/strong> : Da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131 normal da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131na e\u015fde\u011ferdir. Bu nedenle ne sivri ne de d\u00fczle\u015ftirilmi\u015f olarak kabul edilir.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\"><strong>Platicurtic<\/strong> : da\u011f\u0131l\u0131m \u00e7ok d\u00fczle\u015fmi\u015f, yani ortalama etraf\u0131ndaki konsantrasyonun d\u00fc\u015f\u00fck oldu\u011fu anlam\u0131na geliyor. Resmi olarak platikurtik da\u011f\u0131l\u0131mlar normal da\u011f\u0131l\u0131mdan daha d\u00fcz olan da\u011f\u0131l\u0131mlar olarak tan\u0131mlan\u0131r.<\/span><\/li>\n<\/ul>\n<p> Farkl\u0131 bas\u0131kl\u0131k t\u00fcrlerinin normal da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131 referans al\u0131narak tan\u0131mland\u0131\u011f\u0131na dikkat edin. <\/p>\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<h4 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"coeficiente-de-curtosis\"><\/span> D\u00fczle\u015ftirme katsay\u0131s\u0131<span class=\"ez-toc-section-end\"><\/span><\/h4>\n<p> <strong>Bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n form\u00fcl\u00fc<\/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-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>aral\u0131klara g\u00f6re 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 veridir.<\/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 aritmetik ortalamas\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-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 standart sapmas\u0131 (veya tipik sapmas\u0131).<\/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\u0131k de\u011feri oldu\u011fundan 3&#8217;\u00fcn \u00e7\u0131kar\u0131ld\u0131\u011f\u0131n\u0131 unutmay\u0131n. B\u00f6ylece bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n hesaplanmas\u0131 normal da\u011f\u0131l\u0131m\u0131n bas\u0131kl\u0131\u011f\u0131 referans al\u0131narak yap\u0131l\u0131r. Bu nedenle bazen istatistiklerde <strong>a\u015f\u0131r\u0131 bas\u0131kl\u0131\u011f\u0131n<\/strong> hesapland\u0131\u011f\u0131 s\u00f6ylenir.<\/p>\n<p> Bas\u0131kl\u0131k katsay\u0131s\u0131 hesapland\u0131ktan sonra bunun ne t\u00fcr bas\u0131kl\u0131k oldu\u011funun belirlenmesi i\u00e7in a\u015fa\u011f\u0131daki \u015fekilde yorumlanmas\u0131 gerekir: <\/p>\n<div style=\"padding-top: 23px; padding-bottom: 0.5px; padding-right: 30px; padding-left: 20px; border: 2.5px dashed #FF8A05; border-radius:20px;\">\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\u0131n\u0131n pozitif olmas\u0131 da\u011f\u0131l\u0131m\u0131n <strong>leptokurtik<\/strong> oldu\u011fu anlam\u0131na gelir.<\/span><\/li>\n<li style=\"margin-bottom:12px\"> <span style=\"color:#101010;font-weight: normal;\">Bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n s\u0131f\u0131r olmas\u0131 da\u011f\u0131l\u0131m\u0131n <strong>mezokurtik<\/strong> oldu\u011fu anlam\u0131na gelir.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">Bas\u0131kl\u0131k katsay\u0131s\u0131n\u0131n negatif olmas\u0131 da\u011f\u0131l\u0131m\u0131n <strong>platikurtik<\/strong> oldu\u011fu anlam\u0131na gelir.<\/span> <\/li>\n<\/ul>\n<\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"otros-tipos-de-medidas-estadisticas\"><\/span> Di\u011fer istatistiksel \u00f6l\u00e7\u00fcm t\u00fcrleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u015fa\u011f\u0131daki istatistiksel \u00f6l\u00e7\u00fcmlerden herhangi biri de ilginizi \u00e7ekebilir; bunlar\u0131n ne oldu\u011funu ve nas\u0131l hesapland\u0131klar\u0131n\u0131 g\u00f6rmek i\u00e7in birine t\u0131klay\u0131n.<\/p>\n<ul>\n<li> <a href=\"https:\/\/statorials.org\/tr\/merkezi-egilim-olculeri\/\">Merkezile\u015ftirme \u00f6nlemleri<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/konum-olcumleri\/\">Pozisyon \u00f6l\u00e7\u00fcmleri<\/a><\/li>\n<li> <a href=\"https:\/\/statorials.org\/tr\/dagilim-olcumleri\/\">Da\u011f\u0131l\u0131m \u00f6l\u00e7\u00fcmleri<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede \u015fekil \u00f6l\u00e7\u00fcmlerinin ne oldu\u011fu a\u00e7\u0131klanmaktad\u0131r. B\u00f6ylece \u015fekil metriklerinin ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131, \u015fekil metriklerinin nas\u0131l yorumland\u0131\u011f\u0131n\u0131 ve bu t\u00fcr istatistiksel metriklerin nas\u0131l hesapland\u0131\u011f\u0131n\u0131 \u00f6\u011freneceksiniz. \u015eekil \u00f6l\u00e7\u00fcleri nedir? \u0130statistikte \u015fekil \u00f6l\u00e7\u00fcleri , bir olas\u0131l\u0131k da\u011f\u0131l\u0131m\u0131n\u0131 \u015fekline g\u00f6re tan\u0131mlamam\u0131z\u0131 sa\u011flayan g\u00f6stergelerdir. Yani \u015fekil \u00f6l\u00e7\u00fcmleri, bir da\u011f\u0131l\u0131m\u0131n grafi\u011fini \u00e7izmeye gerek kalmadan neye benzedi\u011fini belirlemek i\u00e7in kullan\u0131l\u0131r. \u0130ki [&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-145","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 Kondisyon \u00f6l\u00e7\u00fcmleri (istatistikler)<\/title>\n<meta name=\"description\" content=\"Burada \u015fekil \u00f6l\u00e7\u00fclerinin ne oldu\u011funu, \u015fekil \u00f6l\u00e7\u00fclerinin ne oldu\u011funu, ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 ve nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcller) 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