{"id":131,"date":"2023-08-05T03:39:37","date_gmt":"2023-08-05T03:39:37","guid":{"rendered":"https:\/\/statorials.org\/tr\/tiplendirme\/"},"modified":"2023-08-05T03:39:37","modified_gmt":"2023-08-05T03:39:37","slug":"tiplendirme","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/tiplendirme\/","title":{"rendered":"Yaz\u0131yor"},"content":{"rendered":"<p>Bu makale istatistikte bir da\u011f\u0131l\u0131m\u0131 karakterize etmenin ne anlama geldi\u011fini a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece tiplendirmenin tan\u0131m\u0131n\u0131, bir de\u011fi\u015fkenin tiplendirme \u00f6rne\u011fini bulacak ve ayr\u0131ca ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclen bir al\u0131\u015ft\u0131rma ile pratik yapabileceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-tipificacion\"><\/span> Yazmak nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte <strong>normalizasyon<\/strong> , bir da\u011f\u0131l\u0131ma, ortalamas\u0131 ve standart sapmas\u0131 s\u0131ras\u0131yla s\u0131f\u0131r ve bire e\u015fit olacak \u015fekilde do\u011frusal bir d\u00f6n\u00fc\u015f\u00fcm\u00fcn uyguland\u0131\u011f\u0131 bir s\u00fcre\u00e7tir.<\/p>\n<p> Daha do\u011frusu, tipleme, ortalaman\u0131n rastgele de\u011fi\u015fkenden \u00e7\u0131kar\u0131lmas\u0131n\u0131 ve ard\u0131ndan standart sapmaya b\u00f6l\u00fcnmesini i\u00e7erir.<\/p>\n<p> Yazmaya normalizasyon veya standardizasyon da denilebilir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-tipificacion\"><\/span> Giri\u015f form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir de\u011fi\u015fkeni s\u0131n\u0131fland\u0131rmak i\u00e7in ortalamas\u0131n\u0131 \u00e7\u0131karman\u0131z ve ard\u0131ndan standart sapmas\u0131na b\u00f6lmeniz gerekir. Bu nedenle bir de\u011fi\u015fken <strong>girme form\u00fcl\u00fc<\/strong> a\u015fa\u011f\u0131daki gibidir: <\/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\/typification.png\" alt=\"s\u0131ralama form\u00fcl\u00fc\" class=\"wp-image-2885\" width=\"237\" height=\"237\" srcset=\"\" sizes=\"auto, \"><\/figure>\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> de\u011fi\u015fkenin ortalamas\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-996ff7036e644e89f8ac379fa58d0cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"X\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"16\" style=\"vertical-align: 0px;\"><\/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-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 sapmas\u0131 (veya standart sapmas\u0131).<\/p>\n<p> Bu nedenle de\u011fi\u015fkene do\u011frusal bir d\u00f6n\u00fc\u015f\u00fcm uyguland\u0131\u011f\u0131ndan giri\u015f asl\u0131nda bir de\u011fi\u015fken de\u011fi\u015fikli\u011fidir.<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-tipificacion\"><\/span> \u00d6rnek giri\u015f<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A\u015fa\u011f\u0131da tiplendirmenin tan\u0131m\u0131 ve form\u00fcl\u00fc dikkate al\u0131nd\u0131\u011f\u0131nda kavram\u0131n tam olarak anla\u015f\u0131labilmesi i\u00e7in somut bir \u00f6rnek verilmi\u015ftir.<\/p>\n<ul>\n<li> S\u00fcrekli bir rastgele de\u011fi\u015fken, ortalamas\u0131 45 ve standart sapmas\u0131 10 olan normal bir da\u011f\u0131l\u0131m izlemektedir; 60&#8217;tan k\u00fc\u00e7\u00fck veya buna e\u015fit bir de\u011fer elde etme olas\u0131l\u0131\u011f\u0131 nedir?<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1b70829501c6f028ab079a82be9e5c47_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N(45,10)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"73\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Normal da\u011f\u0131l\u0131m olas\u0131l\u0131\u011f\u0131n\u0131 bulmak i\u00e7in karakteristik tablosunu kullanmam\u0131z gerekir, ancak bunu yapmak i\u00e7in \u00f6nce yazma i\u015flemini ger\u00e7ekle\u015ftirmemiz gerekir. Yani ortalamay\u0131 \u00e7\u0131kar\u0131p standart sapmaya b\u00f6lerek olas\u0131l\u0131k de\u011ferine b\u00f6l\u00fcyoruz:<\/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-e9dac6e2433a5428ce7d562dd560c5b4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P(X\\leq 60)=P\\left(Z\\leq\\frac{60-45}{10}\\right)=P(Z\\leq 1,5)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"363\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p> Standardize ettikten sonra, 1,5 de\u011ferinin hangi olas\u0131l\u0131\u011fa kar\u015f\u0131l\u0131k geldi\u011fini g\u00f6rmek i\u00e7in normal da\u011f\u0131l\u0131m olas\u0131l\u0131k tablosuna ge\u00e7iyoruz: <\/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\/table-de-distribution-normale-probabilite-cumulative-inferieure.emf_.png\" alt=\"normal da\u011f\u0131l\u0131m yazma tablosu\" class=\"wp-image-2892\" width=\"629\" height=\"831\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> Normal da\u011f\u0131l\u0131m tiplendirme tablosunda g\u00f6r\u00fcld\u00fc\u011f\u00fc gibi bir \u00f6nceki ad\u0131mda hesaplanan de\u011fer a\u015fa\u011f\u0131daki olas\u0131l\u0131\u011fa kar\u015f\u0131l\u0131k gelmektedir:<\/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-ff9b32cb038465202e623db46fa58943_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P(Z\\leq 1,5)=0,9332\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"166\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla 60&#8217;a e\u015fit veya daha k\u00fc\u00e7\u00fck bir de\u011fer elde etme olas\u0131l\u0131\u011f\u0131 %93,32&#8217;dir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejercicio-resuelto-de-tipificacion\"><\/span> Yazma Al\u0131\u015ft\u0131rmas\u0131 \u00c7\u00f6z\u00fcld\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ortalamas\u0131 ve standart sapmas\u0131 s\u0131ras\u0131yla 120 ve 50 olan bir normal da\u011f\u0131l\u0131m\u0131n a\u015fa\u011f\u0131daki olas\u0131l\u0131klar\u0131n\u0131 hesaplay\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-f91b2ec55fb9f4c66271efac59ced311_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"N(120,50)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"82\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<ul>\n<li> 208&#8217;den k\u00fc\u00e7\u00fck veya ona e\u015fit bir de\u011fer elde etme olas\u0131l\u0131\u011f\u0131.<\/li>\n<li> 137&#8217;den b\u00fcy\u00fck bir de\u011fer elde etme olas\u0131l\u0131\u011f\u0131. <\/li>\n<\/ul>\n<div class=\"wp-block-otfm-box-spoiler-start otfm-sp__wrapper otfm-sp__box js-otfm-sp-box__closed otfm-sp__FFF8E1\" role=\"button\" tabindex=\"0\" aria-expanded=\"false\" data-otfm-spc=\"#FFF8E1\" style=\"text-align:center\">\n<div class=\"otfm-sp__title\"> <strong>\u00c7\u00f6z\u00fcm\u00fc g\u00f6r\u00fcn<\/strong><\/div>\n<\/div>\n<p class=\"has-text-align-left\"> Problemin her iki b\u00f6l\u00fcm\u00fcnde de olas\u0131l\u0131klar\u0131 hesaplamak i\u00e7in normal da\u011f\u0131l\u0131m\u0131 yazmam\u0131z gerekiyor.<\/p>\n<p class=\"has-text-align-left\"> 208&#8217;den k\u00fc\u00e7\u00fck veya ona e\u015fde\u011fer bir de\u011ferin olas\u0131l\u0131k tipini hesaplayarak ba\u015fl\u0131yoruz:<\/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-89fa1aadf9a8e25774db2a67068f6bc0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P(X\\leq 208)=P\\left(Z\\leq\\frac{208-120}{50}\\right)=P(Z\\leq 1,76)\" title=\"Rendered by QuickLaTeX.com\" height=\"43\" width=\"398\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u015eimdi yukar\u0131daki tabloya 1,76 de\u011ferinin hangi olas\u0131l\u0131\u011fa kar\u015f\u0131l\u0131k geldi\u011fine bakal\u0131m:<\/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-8b589caec5bda59af908e639b0d164e1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P(Z\\leq 1,76)=0,9608\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"175\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> \u0130kinci olarak 137\u2019den b\u00fcy\u00fck bir de\u011fer elde etme olas\u0131l\u0131\u011f\u0131n\u0131 hesaplayaca\u011f\u0131z. Ayn\u0131 \u015fekilde de\u011fi\u015fkeni yazarak ba\u015fl\u0131yoruz:<\/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-622ad5500cf1f3a2c0140ae30cf7767d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P(X> 208)=P\\left(Z>\\frac{137-120}{50}\\right)=P(Z>0,34)&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;43&#8243; width=&#8221;398&#8243; style=&#8221;vertical-align: -17px;&#8221;><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Bununla birlikte, ekteki tablo yaln\u0131zca en d\u00fc\u015f\u00fck k\u00fcm\u00fclatif olas\u0131l\u0131klara sahiptir, bu nedenle tabloyu kullanmak i\u00e7in \u00f6ncelikle olas\u0131l\u0131\u011f\u0131 d\u00f6n\u00fc\u015ft\u00fcrmemiz 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-2ba89557e6eeb77715aa4e27725a7aa0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P(Z>0,34)=1-P(Z\\leq 0,34)&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;252&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<p class=\"has-text-align-left\"> Ve son olarak, ekteki tablodan Z&#8217;nin hesaplanan de\u011ferine kar\u015f\u0131l\u0131k gelen olas\u0131l\u0131\u011f\u0131 not edece\u011fiz: <\/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-48466cbb0a58f08c577accdac4e32c69_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle P(Z>0,34)=1-P(Z\\leq 0,34)=1-0,6331=0,3669&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;19&#8243; width=&#8221;435&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<\/p>\n<div class=\"wp-block-otfm-box-spoiler-end otfm-sp_end\"><\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfpara-que-sirve-la-tipificacion\"><\/span> Yazman\u0131n amac\u0131 nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Tiplendirmenin anlam\u0131n\u0131 anlamay\u0131 tamamlamak i\u00e7in, bunun ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131 ve bir de\u011fi\u015fkenin ne zaman yaz\u0131lmas\u0131 gerekti\u011fini g\u00f6rece\u011fiz.<\/p>\n<p> Temel olarak standardizasyon, da\u011f\u0131l\u0131mlar\u0131n de\u011ferlerini farkl\u0131 ortalama ve varyanslarla kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in kullan\u0131l\u0131r. Benzer \u015fekilde, bir olas\u0131l\u0131\u011f\u0131 hesaplamak i\u00e7in standardizasyon da kullan\u0131l\u0131r.<\/p>\n<p> Farkl\u0131 \u00f6zelliklere sahip da\u011f\u0131l\u0131mlar\u0131n iki de\u011ferini standartla\u015ft\u0131rarak, da\u011f\u0131l\u0131m\u0131n tamam\u0131na g\u00f6re hangi de\u011ferin daha b\u00fcy\u00fck veya daha k\u00fc\u00e7\u00fck oldu\u011funu g\u00f6rebiliriz. Veya ba\u015fka bir deyi\u015fle tiplendirme i\u015flemini uygulayarak hangi de\u011ferin da\u011f\u0131l\u0131m ortalamas\u0131na en yak\u0131n veya en uzak oldu\u011funu g\u00f6rebiliriz.<\/p>\n<p> Ek olarak, yukar\u0131da a\u00e7\u0131kland\u0131\u011f\u0131 gibi, olas\u0131l\u0131k tablolar\u0131 genel olarak tiplendirilmi\u015f bir da\u011f\u0131l\u0131ma dayand\u0131\u011f\u0131ndan tiplendirme olas\u0131l\u0131klar\u0131n hesaplanmas\u0131na da olanak tan\u0131r.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale istatistikte bir da\u011f\u0131l\u0131m\u0131 karakterize etmenin ne anlama geldi\u011fini a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece tiplendirmenin tan\u0131m\u0131n\u0131, bir de\u011fi\u015fkenin tiplendirme \u00f6rne\u011fini bulacak ve ayr\u0131ca ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclen bir al\u0131\u015ft\u0131rma ile pratik yapabileceksiniz. Yazmak nedir? \u0130statistikte normalizasyon , bir da\u011f\u0131l\u0131ma, ortalamas\u0131 ve standart sapmas\u0131 s\u0131ras\u0131yla s\u0131f\u0131r ve bire e\u015fit olacak \u015fekilde do\u011frusal bir d\u00f6n\u00fc\u015f\u00fcm\u00fcn uyguland\u0131\u011f\u0131 bir s\u00fcre\u00e7tir. Daha do\u011frusu, [&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-131","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 Yazmak nedir? 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