{"id":263,"date":"2023-08-03T10:49:10","date_gmt":"2023-08-03T10:49:10","guid":{"rendered":"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/"},"modified":"2023-08-03T10:49:10","modified_gmt":"2023-08-03T10:49:10","slug":"varyans-icin-hipotez-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/","title":{"rendered":"Varyans i\u00e7in hipotez testi"},"content":{"rendered":"<p>Bu makale varyans i\u00e7in hipotez testinin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece, varyans hipotezi testinin form\u00fcl\u00fcn\u00fc ve ayr\u0131ca ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclen bir al\u0131\u015ft\u0131rmay\u0131 bulacaks\u0131n\u0131z. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-prueba-de-hipotesis-para-la-varianza\"><\/span> Varyans i\u00e7in hipotez testi nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Varyans i\u00e7in hipotez testi,<\/strong> bir pop\u00fclasyon varyans\u0131n\u0131n s\u0131f\u0131r hipotezinin reddedilip reddedilmeyece\u011fini belirlemek i\u00e7in kullan\u0131lan istatistiksel bir y\u00f6ntemdir. Ba\u015fka bir deyi\u015fle varyans hipotez testi, bir pop\u00fclasyonun varyans\u0131n\u0131n de\u011feri hakk\u0131ndaki hipotezi reddetmek veya kabul etmek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> Spesifik olarak, varyans i\u00e7in hipotez testi istatisti\u011finin de\u011ferine ve se\u00e7ilen anlaml\u0131l\u0131k d\u00fczeyine ba\u011fl\u0131 olarak s\u0131f\u0131r hipotezi reddedilir veya kabul edilir.<\/p>\n<p> Hipotez testinin bir\u00e7ok isimle an\u0131ld\u0131\u011f\u0131n\u0131 unutmay\u0131n; buna hipotez kar\u015f\u0131tl\u0131klar\u0131, hipotez testi veya anlaml\u0131l\u0131k testi de denilebilir. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-de-hipotesis-para-la-varianza\"><\/span> Varyans i\u00e7in Hipotez Testi Form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Varyans i\u00e7in hipotez testi istatisti\u011fi, \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc eksi \u00f6rnek varyans\u0131n\u0131n bir kat\u0131 aras\u0131ndaki farka e\u015fittir ve pop\u00fclasyon varyans\u0131n\u0131n \u00f6nerilen de\u011ferine b\u00f6l\u00fcn\u00fcr. Varyans i\u00e7in hipotez testi istatisti\u011fi <a href=\"https:\/\/statorials.org\/tr\/ki-kare-dagilimi\/\">ki-kare da\u011f\u0131l\u0131m\u0131na<\/a> sahiptir.<\/p>\n<p> Dolay\u0131s\u0131yla <strong>varyans i\u00e7in hipotez testi istatisti\u011fini hesaplama 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-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" 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>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-984dc78529fc235b078a9f3b62d0f0c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"18\" style=\"vertical-align: -4px;\"><\/p>\n<p> ki-kare da\u011f\u0131l\u0131m\u0131na sahip varyans i\u00e7in hipotez test istatisti\u011fidir.<\/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-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fcd\u00fcr.<\/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-3ab572e85f9cb7cb6f495387f2a6ab0b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6rnek varyans\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-c6d52162ef1ec2e8130fb00687aca707_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma^2\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6nerilen pop\u00fclasyon varyans\u0131d\u0131r.<\/li>\n<\/ul>\n<p> \u0130statisti\u011fin sonucunun yorumlanabilmesi i\u00e7in elde edilen de\u011ferin testin kritik de\u011feri ile kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131 gerekir.<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Varyans i\u00e7in hipotez testi iki kuyruklu ise, istatistik kritik de\u011ferden b\u00fcy\u00fckse s\u0131f\u0131r hipotezi reddedilir.\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7bd4ac2951fb286bf19797944cba6955_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha\/2|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"81\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> veya kritik de\u011ferin alt\u0131ndaysa<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-931a3f10ab51df1c9003e6cb593907c4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha\/2|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"63\" style=\"vertical-align: -8px;\"><\/p>\n<p> .<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Varyans i\u00e7in hipotez testi sa\u011f kuyrukla e\u015fle\u015fiyorsa, istatistik kritik de\u011ferden b\u00fcy\u00fckse s\u0131f\u0131r hipotezi reddedilir\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-243ef3cc114070613fd8bee8c61f8c13_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha|n-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"67\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> .<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Varyans i\u00e7in hipotez testi sol kuyrukla e\u015fle\u015firse, istatistik kritik de\u011ferden k\u00fc\u00e7\u00fckse s\u0131f\u0131r hipotezi reddedilir\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0436c61e0bdff7a21f6e6ab296607c66_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{\\alpha|n-1}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"49\" style=\"vertical-align: -8px;\"><\/p>\n<p><\/span> .<\/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-ca46378c1a2ee04b5cc5bfa93002fe9c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha\/2|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2\\neq \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si }\\chi^2<\\chi^2_{\\alpha\/2|n-1}\\text{ se rechaza } H_0 \\\\[3ex]H_1: \\sigma^2> \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2>\\chi^2_{1-\\alpha|n-1}\\text{ se rechaza } H_0\\\\[3ex]H_1: \\sigma^2< \\sigma_0 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Si } \\chi^2<\\chi^2_{\\alpha|n-1}\\text{ se rechaza } H_0\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"160\" width=\"489\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Varyansa ili\u015fkin kritik hipotez testi de\u011ferleri ki-kare da\u011f\u0131l\u0131m tablosundan elde edilir. Ki-kare da\u011f\u0131l\u0131m\u0131 i\u00e7in serbestlik derecesinin \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc eksi 1 oldu\u011funa dikkat edin. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-resuelto-de-la-prueba-de-hipotesis-para-la-varianza\"><\/span> Varyans i\u00e7in Ger\u00e7ek D\u00fcnyadan Hipotez Testi \u00d6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Varyans hipotezi testinin tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fcn ne oldu\u011funu g\u00f6rd\u00fckten sonra kavram\u0131 \u00f6z\u00fcmsemeyi tamamlamak i\u00e7in somut bir \u00f6rnek g\u00f6rece\u011fiz.<\/p>\n<ul>\n<li> Bir fabrikada, bir araban\u0131n par\u00e7alar\u0131n\u0131 y\u00fcksek hassasiyetle \u00fcreten bir makine vard\u0131r. Ancak art\u0131k uzakla\u015ft\u0131\u011f\u0131 ve art\u0131k 8 <sup>mm2&#8217;den<\/sup> b\u00fcy\u00fck aral\u0131kl\u0131 par\u00e7alar \u00fcretti\u011finden \u015f\u00fcpheleniliyor. Bu hipotezi \u00e7\u00fcr\u00fctmek i\u00e7in 25 par\u00e7al\u0131k bir numune analiz edilmi\u015ftir ve numune varyans\u0131 9,1 <sup>mm2&#8217;dir<\/sup> . Ba\u015flang\u0131\u00e7 hipotezi \u03b1=0,05 anlaml\u0131l\u0131k d\u00fczeyiyle reddedilebilir mi?<\/li>\n<\/ul>\n<p> Bu varyans hipotezi testi i\u00e7in s\u0131f\u0131r hipotezi ve alternatif hipotez 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-95b4fefa064ecb8bcdccd355ef3904a4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0: \\sigma^2=8 \\\\[2ex] H_1:\\sigma^2>8 \\end{cases}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;65&#8243; width=&#8221;101&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<p> S\u0131f\u0131r hipotezinin reddedilip reddedilemeyece\u011fini belirlemek i\u00e7in yukar\u0131da g\u00f6rd\u00fc\u011f\u00fcm\u00fcz form\u00fcl\u00fc kullanarak varyansa ili\u015fkin hipotez testi istatisti\u011fini hesapl\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-3917636d4c911eeaad1a005195204d08_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(n-1)s^2}{\\sigma^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"115\" 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-93abb2abcb6878bd1ae0de3d331a67a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=\\cfrac{(25-1)\\cdot 9,1}{8}\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"145\" 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-15f5c32cdf68c77a76adeb32af123a01_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi^2=27,3\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"77\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<p> \u015eimdi Ki-kare da\u011f\u0131l\u0131m tablosunda 24 serbestlik derecesi i\u00e7in sa\u011f kuyru\u011fa kar\u015f\u0131l\u0131k gelen kritik de\u011feri ve \u03b1=0,05 anlaml\u0131l\u0131k d\u00fczeyini ar\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-c0c6c817db31742b8faad397988d3db5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\chi^2_{1-\\alpha|n-1}=\\ \\color{orange}\\bm{?}\\color{black}\\\\[2ex]\\chi^2_{0,95|24}=36,415\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"63\" width=\"200\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla hesaplanan istatistik, testin kritik de\u011ferinden k\u00fc\u00e7\u00fckt\u00fcr ve bu nedenle varyans hipotezi testinin s\u0131f\u0131r hipotezi reddedilmez, aksine alternatif hipotez reddedilir. <\/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-9cc9224f9bcfd311e7dda07696f30d1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"27,3<36,415 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{No se rechaza } H_0\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"380\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/ortalama-icin-hipotez-testi\/\">Pop\u00fclasyon ortalamas\u0131 i\u00e7in hipotez testi<\/a><br \/> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Bak\u0131n\u0131z:<\/strong> <a href=\"https:\/\/statorials.org\/tr\/oranti-icin-hipotez-testi\/\">Pop\u00fclasyon oran\u0131 i\u00e7in hipotez testi<\/a> <\/div>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"prueba-de-hipotesis-para-la-varianza-de-dos-poblaciones\"><\/span> \u0130ki pop\u00fclasyonun varyans\u0131 i\u00e7in hipotez testi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>\u0130ki pop\u00fclasyon varyans hipotezi testi,<\/strong> iki farkl\u0131 pop\u00fclasyonun varyanslar\u0131n\u0131n e\u015fit oldu\u011fu hipotezini reddetmek veya kabul etmek i\u00e7in kullan\u0131l\u0131r.<\/p>\n<p> Dolay\u0131s\u0131yla, iki pop\u00fclasyonun varyans\u0131na ili\u015fkin bir hipotez testinin s\u0131f\u0131r hipotezi her zaman 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-558a070923ca8d1fb80943f6aa9ec3c8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"H_0: \\sigma^2_1=\\sigma^2_2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"97\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Alternatif hipotez ise \u00fc\u00e7 se\u00e7enekten biri olabilir:<\/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-2ad02ce3bff3905a34a0ba9b6f8d98cf_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}H_1:\\sigma^2_1\\neq \\sigma^2_2\\\\[2ex]H_1:\\sigma^2_1>\\sigma^2_2\\\\[2ex]H_1:\\sigma^2_1<\\sigma^2_2\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"95\" width=\"97\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Bu durumda, iki pop\u00fclasyonun varyans\u0131 i\u00e7in hipotez testi istatisti\u011fini hesaplama form\u00fcl\u00fc \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-589dc6352e9cf19954c33b5beb5b0770_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F=\\cfrac{s_1^2}{s_2^2}\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"56\" style=\"vertical-align: -18px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Alt\u0131n:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-88df03c55e081c7cd9da4e7d74ba7265_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"F\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"14\" style=\"vertical-align: 0px;\"><\/p>\n<p> iki pop\u00fclasyonun varyans\u0131 i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/snedecorun-dagilimi-f\/\">F da\u011f\u0131l\u0131m\u0131n\u0131<\/a> takip eden hipotez test istatisti\u011fidir.<\/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-c2e8ce841b1fc1e199b133e6f24f6f51_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_1^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p> pop\u00fclasyon 1&#8217;in varyans\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-d5fd430c9ff19057933c215e683ace41_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\sigma_2^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"18\" style=\"vertical-align: -5px;\"><\/p>\n<p> pop\u00fclasyon 2&#8217;nin varyans\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-59ae3c411ec80f65d56e397f87d29753_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_1^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u00f6rnek 1&#8217;in varyans\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-c785df8c080b6984c6205f881426fb10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s_2^2\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"15\" style=\"vertical-align: -5px;\"><\/p>\n<p> \u00f6rnek 2&#8217;nin varyans\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-cebc0a013985f2695aeb53ded9e7afb1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_1\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"17\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc 1&#8217;dir.<\/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-bf1e42c248eee22a0911c24c95fe28f0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n_2\" title=\"Rendered by QuickLaTeX.com\" height=\"11\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00f6rneklem b\u00fcy\u00fckl\u00fc\u011f\u00fc 2&#8217;dir.<\/li>\n<\/ul>\n<p> Snedecor F da\u011f\u0131l\u0131m\u0131 simetrik olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezi a\u015fa\u011f\u0131daki kriterlere g\u00f6re reddedilir:<\/p>\n<p> [latex]\\begin{array}{l}H_1: \\sigma_1^2\\neq \\sigma_2^2 \\ \\color{orange}\\bm{\\longrightarrow}\\color{siyah} \\ \\text{Si } F&gt;F_{ 1-\\alpha\/2|n_1-1|n_2-1}\\text{ geri d\u00f6nd\u00fc } H_0\\\\[3ex]H_1: \\sigma_1^2\\neq \\sigma_2^2 \\ \\color{orange}\\bm{\\longrightarrow }\\color{siyah} \\ \\text{E\u011fer }F<f_{\\alpha 2|n_1-1|n_2-1}\\text{=\"\" se=\"\" rechaza=\"\" }=\"\" h_0=\"\" \\\\[3ex]h_1:=\"\" \\sigma_1^2=\"\"> \\sigma_2^2 \\ \\\\color{turuncu}\\bm{\\longrightarrow}\\color{siyah} \\ \\text{If } F&gt;F_{1-\\alpha|n_1-1|n_2-1}\\text{ geri d\u00f6nd\u00fc } H_0\\\\[3ex]H_1: \\sigma_1^2&lt; \\sigma_2^2 \\ \\color{turuncu}\\bm{\\longrightarrow}\\color{siyah} \\ \\text{Si } F<\/f_{\\alpha><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makale varyans i\u00e7in hipotez testinin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece, varyans hipotezi testinin form\u00fcl\u00fcn\u00fc ve ayr\u0131ca ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclen bir al\u0131\u015ft\u0131rmay\u0131 bulacaks\u0131n\u0131z. Varyans i\u00e7in hipotez testi nedir? Varyans i\u00e7in hipotez testi, bir pop\u00fclasyon varyans\u0131n\u0131n s\u0131f\u0131r hipotezinin reddedilip reddedilmeyece\u011fini belirlemek i\u00e7in kullan\u0131lan istatistiksel bir y\u00f6ntemdir. Ba\u015fka bir deyi\u015fle varyans hipotez testi, bir pop\u00fclasyonun varyans\u0131n\u0131n de\u011feri hakk\u0131ndaki [&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-263","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 Varyans Hipotez Testi \u2013 Olas\u0131l\u0131k ve \u0130statistik<\/title>\n<meta name=\"description\" content=\"Bu makale varyans i\u00e7in hipotez testinin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece varyans i\u00e7in hipotez testi form\u00fcl\u00fcn\u00fc bulacaks\u0131n\u0131z ve \u2705\" \/>\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\/varyans-icin-hipotez-testi\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Varyans Hipotez Testi \u2013 Olas\u0131l\u0131k ve \u0130statistik\" \/>\n<meta property=\"og:description\" content=\"Bu makale varyans i\u00e7in hipotez testinin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece varyans i\u00e7in hipotez testi form\u00fcl\u00fcn\u00fc bulacaks\u0131n\u0131z ve \u2705\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T10:49:10+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.png\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/\",\"url\":\"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/\",\"name\":\"\u25b7 Varyans Hipotez Testi \u2013 Olas\u0131l\u0131k ve \u0130statistik\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-08-03T10:49:10+00:00\",\"dateModified\":\"2023-08-03T10:49:10+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"Bu makale varyans i\u00e7in hipotez testinin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece varyans i\u00e7in hipotez testi form\u00fcl\u00fcn\u00fc bulacaks\u0131n\u0131z ve \u2705\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Varyans i\u00e7in hipotez testi\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil\",\"sameAs\":[\"https:\/\/statorials.org\/tr\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"\u25b7 Varyans Hipotez Testi \u2013 Olas\u0131l\u0131k ve \u0130statistik","description":"Bu makale varyans i\u00e7in hipotez testinin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece varyans i\u00e7in hipotez testi form\u00fcl\u00fcn\u00fc bulacaks\u0131n\u0131z ve \u2705","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/","og_locale":"tr_TR","og_type":"article","og_title":"\u25b7 Varyans Hipotez Testi \u2013 Olas\u0131l\u0131k ve \u0130statistik","og_description":"Bu makale varyans i\u00e7in hipotez testinin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece varyans i\u00e7in hipotez testi form\u00fcl\u00fcn\u00fc bulacaks\u0131n\u0131z ve \u2705","og_url":"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/","og_site_name":"Statorials","article_published_time":"2023-08-03T10:49:10+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-3917636d4c911eeaad1a005195204d08_l3.png"}],"author":"Dr.benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Yazan:":"Dr.benjamin anderson","Tahmini okuma s\u00fcresi":"4 dakika"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/","url":"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/","name":"\u25b7 Varyans Hipotez Testi \u2013 Olas\u0131l\u0131k ve \u0130statistik","isPartOf":{"@id":"https:\/\/statorials.org\/tr\/#website"},"datePublished":"2023-08-03T10:49:10+00:00","dateModified":"2023-08-03T10:49:10+00:00","author":{"@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48"},"description":"Bu makale varyans i\u00e7in hipotez testinin ne oldu\u011funu a\u00e7\u0131klamaktad\u0131r. B\u00f6ylece varyans i\u00e7in hipotez testi form\u00fcl\u00fcn\u00fc bulacaks\u0131n\u0131z ve \u2705","breadcrumb":{"@id":"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/#breadcrumb"},"inLanguage":"tr","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/tr\/varyans-icin-hipotez-testi\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Ev","item":"https:\/\/statorials.org\/tr\/"},{"@type":"ListItem","position":2,"name":"Varyans i\u00e7in hipotez testi"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/tr\/#website","url":"https:\/\/statorials.org\/tr\/","name":"Statorials","description":"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/tr\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"tr"},{"@type":"Person","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48","name":"Dr.benjamin anderson","image":{"@type":"ImageObject","inLanguage":"tr","@id":"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/","url":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Dr.benjamin anderson"},"description":"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. Daha fazlas\u0131n\u0131 bil","sameAs":["https:\/\/statorials.org\/tr"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/263","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/comments?post=263"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/posts\/263\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/media?parent=263"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/categories?post=263"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/tr\/wp-json\/wp\/v2\/tags?post=263"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}