{"id":273,"date":"2023-08-03T07:21:53","date_gmt":"2023-08-03T07:21:53","guid":{"rendered":"https:\/\/statorials.org\/tr\/hipotez-testinin-gucu\/"},"modified":"2023-08-03T07:21:53","modified_gmt":"2023-08-03T07:21:53","slug":"hipotez-testinin-gucu","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/hipotez-testinin-gucu\/","title":{"rendered":"Bir hipotez testinin g\u00fcc\u00fc"},"content":{"rendered":"<p>Bu makale bir hipotez testinin ne kadar g\u00fc\u00e7l\u00fc oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Ayn\u0131 \u015fekilde bir hipotez testinin (form\u00fcl) g\u00fcc\u00fcn\u00fcn nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve \u00f6zelliklerinin neler oldu\u011funu ke\u015ffedeceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-potencia-de-un-contraste-de-hipotesis\"><\/span> Bir hipotez testi ne kadar g\u00fc\u00e7l\u00fcd\u00fcr?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> \u0130statistikte, <strong>bir hipotez testinin g\u00fcc\u00fc,<\/strong> s\u0131f\u0131r hipotezi yanl\u0131\u015f oldu\u011funda reddedilme olas\u0131l\u0131\u011f\u0131d\u0131r. Dolay\u0131s\u0131yla bir hipotez testinin g\u00fcc\u00fc, alternatif hipotezin do\u011fru oldu\u011fu durumda kabul edilme olas\u0131l\u0131\u011f\u0131 olarak da tan\u0131mlanabilir.<\/p>\n<p> Bir hipotez testinin g\u00fcc\u00fc ayn\u0131 zamanda <strong>istatistiksel g\u00fc\u00e7<\/strong> olarak da bilinir.<\/p>\n<p> S\u0131f\u0131r hipotezini yanl\u0131\u015fken reddetmek, yani do\u011fruyken alternatif hipotezi kabul etmek, hipotez testi yaparken ilgilendi\u011fimiz bir konudur. Dolay\u0131s\u0131yla bir hipotez testinin g\u00fcc\u00fcn\u00fcn ne kadar y\u00fcksek olursa o kadar iyi olmas\u0131n\u0131 istiyoruz.<\/p>\n<p> Bu anlamda bir testin g\u00fc\u00e7 de\u011feri y\u00fcksek oldu\u011funda \u00e7ok g\u00fc\u00e7l\u00fc bir hipotez testi oldu\u011fu s\u00f6ylenebilir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"potencia-error-tipo-i-y-error-tipo-ii-de-un-contraste-de-hipotesis\"><\/span> Bir hipotez testinin g\u00fcc\u00fc, Tip I hatas\u0131 ve Tip II hatas\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir hipotez testi ger\u00e7ekle\u015ftirirken iki t\u00fcr hata yap\u0131labilir:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Tip I hata<\/strong> : S\u0131f\u0131r hipotezi ger\u00e7ekte do\u011fru olmas\u0131na ra\u011fmen reddedildi\u011finde yap\u0131lan hatad\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Tip II hata<\/strong> : S\u0131f\u0131r hipotezi ger\u00e7ekte yanl\u0131\u015fken kabul edildi\u011finde yap\u0131lan hatad\u0131r.<\/span> <\/li>\n<\/ul>\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\/erreur-type-i-et-erreur-type-ii.png\" alt=\"tip I hata ve tip II hata\" class=\"wp-image-5683\" width=\"456\" height=\"120\" srcset=\"\" sizes=\"auto, \"><\/figure>\n<p> \u00d6te yandan her bir hata t\u00fcr\u00fcn\u00fcn yap\u0131lma olas\u0131l\u0131\u011f\u0131 \u015fu \u015fekilde adland\u0131r\u0131l\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Alfa olas\u0131l\u0131\u011f\u0131 (\u03b1)<\/strong> : I. tip hatan\u0131n yap\u0131lma olas\u0131l\u0131\u011f\u0131d\u0131r.<\/span><\/li>\n<li style=\"margin-bottom:18px\"> <span style=\"color:#101010;font-weight: normal;\"><strong>Beta olas\u0131l\u0131\u011f\u0131 (\u03b2)<\/strong> : II. tip hatan\u0131n yap\u0131lma olas\u0131l\u0131\u011f\u0131d\u0131r.<\/span><\/li>\n<\/ul>\n<p> Dolay\u0131s\u0131yla, e\u011fer \u03b2, bo\u015f hipotezin yanl\u0131\u015f oldu\u011fu zaman kabul edilme olas\u0131l\u0131\u011f\u0131 ise, bo\u015f hipotezin yanl\u0131\u015f oldu\u011fu zaman reddedilme olas\u0131l\u0131\u011f\u0131 (testin g\u00fcc\u00fc) bunun tamamlay\u0131c\u0131s\u0131d\u0131r, yani 1-\u03b2.<\/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-d1ac96f9a49134f7edcdd9e0815059b9_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"P[\\text{rechazar }H_0| H_0 \\text{ falsa}]=1-\\beta\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"250\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> K\u0131saca <strong>bir hipotez testinin g\u00fcc\u00fc 1-\u03b2&#8217;ya<\/strong> , di\u011fer bir deyi\u015fle bir testin g\u00fcc\u00fc bir eksi Tip II hata yapma olas\u0131l\u0131\u011f\u0131na e\u015fittir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"propiedades-de-la-potencia-de-un-contraste-de-hipotesis\"><\/span> Bir Hipotez Testinin G\u00fc\u00e7 \u00d6zellikleri<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Bir hipotez testinin g\u00fcc\u00fc a\u015fa\u011f\u0131daki \u00f6zellikleri kar\u015f\u0131lar:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir hipotez testinin g\u00fcc\u00fcn\u00fcn de\u011feri, s\u00f6z konusu testin II. tip hata olas\u0131l\u0131\u011f\u0131n\u0131n tamamlay\u0131c\u0131s\u0131d\u0131r. Dolay\u0131s\u0131yla \u03b2 ne kadar b\u00fcy\u00fck olursa kontrast g\u00fcc\u00fc o kadar d\u00fc\u015f\u00fck olur.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir kar\u015f\u0131tl\u0131\u011f\u0131n g\u00fcc\u00fc <a href=\"https:\/\/statorials.org\/tr\/onem-duzeyi\/\">, hipotez kar\u015f\u0131tl\u0131\u011f\u0131n\u0131n anlaml\u0131l\u0131k d\u00fczeyiyle<\/a> do\u011fru orant\u0131l\u0131d\u0131r. Bu nedenle, Tip I hata yapma olas\u0131l\u0131\u011f\u0131 ne kadar y\u00fcksek olursa, hipotez testi o kadar g\u00fc\u00e7l\u00fc olur.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir kar\u015f\u0131tl\u0131\u011f\u0131n g\u00fcc\u00fc <a href=\"https:\/\/statorials.org\/tr\/bir-guven-seviyesi\/\">, hipotez testinin g\u00fcven d\u00fczeyiyle<\/a> ters orant\u0131l\u0131d\u0131r. Dolay\u0131s\u0131yla kontrast\u0131n g\u00fcven d\u00fczeyi ne kadar y\u00fcksek olursa, s\u00f6z konusu kontrast\u0131n g\u00fcc\u00fc de o kadar d\u00fc\u015f\u00fck olur.<\/span><\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Bir hipotez testinin g\u00fc\u00e7 de\u011feri <a href=\"https:\/\/statorials.org\/tr\/ornek-boyut\/\">\u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcyle<\/a> do\u011fru orant\u0131l\u0131d\u0131r. Bu nedenle \u00f6rneklem boyutu ne kadar b\u00fcy\u00fck olursa kontrast g\u00fcc\u00fc de o kadar y\u00fcksek olur.<\/span><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale bir hipotez testinin ne kadar g\u00fc\u00e7l\u00fc oldu\u011funu a\u00e7\u0131klamaktad\u0131r. Ayn\u0131 \u015fekilde bir hipotez testinin (form\u00fcl) g\u00fcc\u00fcn\u00fcn nas\u0131l hesaplanaca\u011f\u0131n\u0131 ve \u00f6zelliklerinin neler oldu\u011funu ke\u015ffedeceksiniz. Bir hipotez testi ne kadar g\u00fc\u00e7l\u00fcd\u00fcr? \u0130statistikte, bir hipotez testinin g\u00fcc\u00fc, s\u0131f\u0131r hipotezi yanl\u0131\u015f oldu\u011funda reddedilme olas\u0131l\u0131\u011f\u0131d\u0131r. Dolay\u0131s\u0131yla bir hipotez testinin g\u00fcc\u00fc, alternatif hipotezin do\u011fru oldu\u011fu durumda kabul edilme olas\u0131l\u0131\u011f\u0131 olarak [&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-273","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 Hipotez testinin g\u00fcc\u00fc<\/title>\n<meta name=\"description\" content=\"Burada bir hipotez testinin g\u00fcc\u00fcn\u00fcn ne oldu\u011funu, bir testin g\u00fcc\u00fcn\u00fcn nas\u0131l hesapland\u0131\u011f\u0131n\u0131 (form\u00fcl) ve \u00f6zelliklerinin neler oldu\u011funu \u00f6\u011freneceksiniz.\" \/>\n<meta name=\"robots\" content=\"index, follow, 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