{"id":1033,"date":"2023-07-27T22:01:50","date_gmt":"2023-07-27T22:01:50","guid":{"rendered":"https:\/\/statorials.org\/tr\/standartlastirilmis-test-istatistigi\/"},"modified":"2023-07-27T22:01:50","modified_gmt":"2023-07-27T22:01:50","slug":"standartlastirilmis-test-istatistigi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/standartlastirilmis-test-istatistigi\/","title":{"rendered":"Standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fi nedir?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p>\u0130statistiksel hipotez, bir <a href=\"https:\/\/statorials.org\/tr\/istatistik-ve-parametre\/\" target=\"_blank\" rel=\"noopener noreferrer\">pop\u00fclasyon parametresi<\/a> <span style=\"color: #000000;\">hakk\u0131nda bir varsay\u0131md\u0131r<\/span> <span style=\"color: #000000;\">.<\/span> <span style=\"color: #000000;\">\u00d6rne\u011fin Amerika Birle\u015fik Devletleri&#8217;nde bir erke\u011fin ortalama boyunun 70 in\u00e7 oldu\u011funu varsayabiliriz. Boyla ilgili hipotez <em>istatistiksel bir hipotezdir<\/em> ve Amerika Birle\u015fik Devletleri&#8217;ndeki bir erke\u011fin ger\u00e7ek ortalama boyu <em>n\u00fcfus parametresidir<\/em> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/hipotez-testi-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Hipotez testi,<\/a> istatistiksel bir hipotezi reddetmek veya reddetmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z resmi bir istatistiksel testtir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hipotez testini ger\u00e7ekle\u015ftirmek i\u00e7in temel s\u00fcre\u00e7 a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>1.<\/strong> \u00d6rnek verileri toplay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>2.<\/strong> \u00d6rnek veriler i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fini hesaplay\u0131n.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>3.<\/strong> Standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fini kritik bir de\u011ferle kar\u015f\u0131la\u015ft\u0131r\u0131n. Kritik de\u011ferden daha u\u00e7 bir de\u011fer ise s\u0131f\u0131r hipotezini reddedin. Aksi halde s\u0131f\u0131r hipotez testini reddetmeyin.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fini<\/strong> hesaplamak i\u00e7in kulland\u0131\u011f\u0131m\u0131z form\u00fcl, ger\u00e7ekle\u015ftirdi\u011fimiz hipotez testinin t\u00fcr\u00fcne ba\u011fl\u0131 olarak de\u011fi\u015fir.<\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tablo, d\u00f6rt ana hipotez testi t\u00fcr\u00fcn\u00fcn her biri i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fini hesaplamak i\u00e7in kullan\u0131lacak form\u00fcl\u00fc g\u00f6sterir:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10689 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standardiseteststatistique1.png\" alt=\"Standartla\u015ft\u0131r\u0131lm\u0131\u015f Test \u0130statistikleri\" width=\"667\" height=\"249\" srcset=\"\" sizes=\"auto, \"><\/p>\n<h3> <strong>Ortalama i\u00e7in hipotez testi<\/strong><\/h3>\n<p> <span style=\"color: #000000;\"><strong>Tek \u00f6rnekli t testi,<\/strong> bir pop\u00fclasyonun ortalamas\u0131n\u0131n belirli bir de\u011fere e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test t\u00fcr\u00fc i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fi a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>t = (<\/strong> <strong>X \u2013 \u03bc) \/ (s\/\u221an)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x:<\/strong> \u00f6rnek ortalama<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u03bc <sub>0<\/sub> :<\/strong> varsay\u0131msal n\u00fcfus ortalamas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> numune standart sapmas\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011finin hesaplanmas\u0131na ili\u015fkin bir \u00f6rnek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/ornek-t-testi\/\" target=\"_blank\" rel=\"noopener noreferrer\">bu e\u011fitime<\/a> bak\u0131n.<\/span><\/p>\n<h3> <strong>Ortalamalardaki fark i\u00e7in hipotez testi<\/strong><\/h3>\n<p> <span style=\"color: #000000;\"><strong>\u0130ki \u00f6rneklem t testi,<\/strong> iki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test t\u00fcr\u00fc i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fi a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">t = ( <span style=\"border-top: 1px solid black;\">X<\/span> <sub>1<\/sub> \u2013 <span style=\"border-top: 1px solid black;\">X<\/span> <sub>2<\/sub> ) \/ s <sub>p<\/sub> (\u221a <span style=\"border-top: 1px solid black;\">1\/n <sub>1<\/sub> + 1\/n <sub>2<\/sub><\/span> )<\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">burada x <sub>1<\/sub> ve x <sub>2<\/sub> \u00f6rnek ortalamalar\u0131d\u0131r, n <sub>1<\/sub> ve n <sub>2<\/sub> \u00f6rnek boyutlar\u0131d\u0131r ve burada s <sub>p<\/sub> a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>s <sub>p<\/sub><\/strong> = \u221a <span style=\"border-top: 1px solid black;\">(n <sub>1<\/sub> -1)s <sub>1<\/sub> <sup>2<\/sup> + (n <sub>2<\/sub> -1)s <sub>2<\/sub> <sup>2<\/sup> \/ (n <sub>1<\/sub> +n <sub>2<\/sub> -2)<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">burada s <sub>1<\/sub> <sup>2<\/sup> ve s <sub>2<\/sub> <sup>2<\/sup> \u00f6rnek varyanslard\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011finin hesaplanmas\u0131na ili\u015fkin bir \u00f6rnek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/iki-orneginizi-test-edin\/\" target=\"_blank\" rel=\"noopener noreferrer\">bu e\u011fitime<\/a> bak\u0131n.<\/span><\/p>\n<h3> <strong>Bir orant\u0131 i\u00e7in hipotez testi<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">G\u00f6zlenen bir oran\u0131 teorik bir oranla kar\u015f\u0131la\u015ft\u0131rmak i\u00e7in <strong>tek oranl\u0131 z testi<\/strong> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test t\u00fcr\u00fc i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fi a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>z = (pp <sub>0<\/sub> ) \/ \u221a <span style=\"border-top: 1px solid black;\">p <sub>0<\/sub> (1-p <sub>0<\/sub> )\/n<\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>p:<\/strong> g\u00f6zlemlenen \u00f6rnek oran\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p <sub>0<\/sub> :<\/strong> n\u00fcfusun varsay\u0131msal oran\u0131<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011finin hesaplanmas\u0131na ili\u015fkin bir \u00f6rnek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/oranti-z-testi\/\" target=\"_blank\" rel=\"noopener noreferrer\">bu e\u011fitime<\/a> bak\u0131n.<\/span><\/p>\n<h3> <strong>Oranlardaki fark i\u00e7in hipotez testi<\/strong><\/h3>\n<p> <span style=\"color: #000000;\"><strong>\u0130ki pop\u00fclasyon oran\u0131 aras\u0131ndaki fark\u0131 test etmek i\u00e7in iki oranl\u0131 bir z testi<\/strong> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test t\u00fcr\u00fc i\u00e7in standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fi a\u015fa\u011f\u0131daki \u015fekilde hesaplan\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><span style=\"color: #000000;\"><strong>z<\/strong> = (p <sub>1<\/sub> -p <sub>2<\/sub> ) \/ \u221a <span style=\"border-top: 1px solid black;\">p(1-p)(1\/n <sub>1<\/sub> +1\/n <sub>2<\/sub> )<\/span><\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">burada p <sub>1<\/sub> ve p <sub>2<\/sub> \u00f6rnek oranlar\u0131d\u0131r, n <sub>1<\/sub> ve n <sub>2<\/sub> \u00f6rnek boyutlar\u0131d\u0131r ve p a\u015fa\u011f\u0131daki \u015fekilde hesaplanan toplam havuzlanm\u0131\u015f orand\u0131r:<\/span><\/p>\n<p> <span style=\"color: #000000;\">p = (p <sub>1<\/sub> n <sub>1<\/sub> + p <sub>2<\/sub> n <sub>2<\/sub> )\/(n <sub>1<\/sub> + n <sub>2<\/sub> )<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011finin hesaplanmas\u0131na ili\u015fkin bir \u00f6rnek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/za-iki-orani-test-edin\/\" target=\"_blank\" rel=\"noopener noreferrer\">bu e\u011fitime<\/a> bak\u0131n.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0130statistiksel hipotez, bir pop\u00fclasyon parametresi hakk\u0131nda bir varsay\u0131md\u0131r . \u00d6rne\u011fin Amerika Birle\u015fik Devletleri&#8217;nde bir erke\u011fin ortalama boyunun 70 in\u00e7 oldu\u011funu varsayabiliriz. Boyla ilgili hipotez istatistiksel bir hipotezdir ve Amerika Birle\u015fik Devletleri&#8217;ndeki bir erke\u011fin ger\u00e7ek ortalama boyu n\u00fcfus parametresidir . Hipotez testi, istatistiksel bir hipotezi reddetmek veya reddetmek i\u00e7in kulland\u0131\u011f\u0131m\u0131z resmi bir istatistiksel testtir. Hipotez testini [&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-1033","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>Standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fi nedir? - Statorials<\/title>\n<meta name=\"description\" content=\"Bir tan\u0131m ve birka\u00e7 \u00f6rnek i\u00e7eren, standartla\u015ft\u0131r\u0131lm\u0131\u015f bir test istatisti\u011finin basit bir a\u00e7\u0131klamas\u0131.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/statorials.org\/tr\/standartlastirilmis-test-istatistigi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Standartla\u015ft\u0131r\u0131lm\u0131\u015f test istatisti\u011fi nedir? 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