{"id":322,"date":"2023-08-02T13:08:08","date_gmt":"2023-08-02T13:08:08","guid":{"rendered":"https:\/\/statorials.org\/tr\/ki-kare-2-testi\/"},"modified":"2023-08-02T13:08:08","modified_gmt":"2023-08-02T13:08:08","slug":"ki-kare-2-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ki-kare-2-testi\/","title":{"rendered":"Ki-kare testi"},"content":{"rendered":"<p>Bu makalede istatistikte ki-kare testinin ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. Ayr\u0131ca ki-kare testinin nas\u0131l yap\u0131laca\u011f\u0131n\u0131 ve buna ek olarak ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 da ke\u015ffedeceksiniz. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-la-prueba-chi-cuadrado\"><\/span> Ki kare testi nedir?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Ki-kare testi,<\/strong> beklenen frekans ile g\u00f6zlenen frekans aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131lan istatistiksel bir testtir.<\/p>\n<p> Mant\u0131ksal olarak ki-kare test istatisti\u011fi <a href=\"https:\/\/statorials.org\/tr\/ki-kare-dagilimi\/\">ki-kare da\u011f\u0131l\u0131m\u0131n\u0131<\/a> takip eder. Bu nedenle test istatisti\u011finin de\u011feri, ki-kare da\u011f\u0131l\u0131m\u0131n\u0131n belirli bir de\u011feriyle kar\u015f\u0131la\u015ft\u0131r\u0131lmal\u0131d\u0131r. A\u015fa\u011f\u0131da ki kare testinin nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6rece\u011fiz.<\/p>\n<p> Bu t\u00fcr istatistiksel test ayn\u0131 zamanda <strong>Pearson ki-kare testi<\/strong> olarak da bilinir ve bazen ki-kare da\u011f\u0131l\u0131m\u0131n\u0131n sembol\u00fc ile temsil edilir: <strong>\u03c7\u00b2 testi<\/strong> . <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-de-la-prueba-chi-cuadrado\"><\/span> Ki-kare testi form\u00fcl\u00fc<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ki-kare test istatisti\u011fi, g\u00f6zlenen de\u011ferler ile beklenen de\u011ferler aras\u0131ndaki farklar\u0131n karelerinin toplam\u0131n\u0131n beklenen de\u011ferlere b\u00f6l\u00fcnmesine e\u015fittir.<\/p>\n<p> Yani <strong>ki-kare testinin form\u00fcl\u00fc<\/strong> \u015fu \u015fekildedir:<\/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-ca52fc2f501a2bff49c05e6c321e242e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle\\chi^2=\\sum_{i=1}^k\\frac{(O_i-E_i)^2}{E_i}\" title=\"Rendered by QuickLaTeX.com\" height=\"52\" width=\"154\" style=\"vertical-align: -21px;\"><\/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\u0131n\u0131 takip eden ki-kare test istatisti\u011fidir<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-7dfca2445cd362ac42fb9032c9cf2367_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k-1\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"39\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00f6zg\u00fcrl\u00fck derecesi.<\/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-d42bc2203d6f76ad01b27ac9acc0bee1_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"9\" style=\"vertical-align: 0px;\"><\/p>\n<p> veri \u00f6rne\u011fi boyutudur.<\/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-434bc05ea7818e67065a4f690de03718_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"O_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"19\" style=\"vertical-align: -3px;\"><\/p>\n<p> i verileri i\u00e7in g\u00f6zlemlenen de\u011ferdir.<\/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-a1e6cfc87bb6b00130570c8c9f348b98_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"E_i\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"18\" style=\"vertical-align: -3px;\"><\/p>\n<p> i verisi i\u00e7in beklenen de\u011ferdir.<\/li>\n<\/ul>\n<p> Ki-kare testini test eden hipotezin s\u0131f\u0131r hipotezi, g\u00f6zlenen de\u011ferlerin beklenen de\u011ferlere e\u015fde\u011fer olmas\u0131d\u0131r. \u00d6te yandan testin alternatif hipotezi, g\u00f6zlenen de\u011ferlerden birinin beklenen de\u011ferden farkl\u0131 olmas\u0131d\u0131r.<\/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-3ef850ed6bba6d33fed54194e3e675e4_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{cases}H_0:O_i=E_i \\quad \\forall i\\\\[2ex]H_1:\\exists \\ O_i\\neq E_i \\end{cases}\" title=\"Rendered by QuickLaTeX.com\" height=\"65\" width=\"145\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Yani, bir \u00f6nem d\u00fczeyi g\u00f6z \u00f6n\u00fcne al\u0131nd\u0131\u011f\u0131nda<\/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-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> hesaplanan test istatisti\u011fi, bo\u015f hipotezin mi yoksa alternatif hipotezin mi reddedilece\u011fini belirlemek i\u00e7in kritik test de\u011feriyle kar\u015f\u0131la\u015ft\u0131r\u0131lmal\u0131d\u0131r:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Test istatisti\u011fi kritik de\u011ferden k\u00fc\u00e7\u00fckse\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-63233cd2098dd4d4be73a18d4ab3df18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha|k-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"66\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> alternatif hipotez reddedilir (ve s\u0131f\u0131r hipotezi kabul edilir).<\/li>\n<li style=\"margin-bottom:16px\"> <span style=\"color:#101010;font-weight: normal;\">Test istatisti\u011fi kritik de\u011ferden b\u00fcy\u00fckse\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-63233cd2098dd4d4be73a18d4ab3df18_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{1-\\alpha|k-1}^2\" title=\"Rendered by QuickLaTeX.com\" height=\"25\" width=\"66\" style=\"vertical-align: -10px;\"><\/p>\n<p><\/span> s\u0131f\u0131r hipotezi reddedilir (ve alternatif hipotez kabul edilir). <\/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-6b48f7bb620dca865b7e652e81cc247a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{l}\\text{Si } \\chi^2<\\chi^2_{1-\\alpha|k-1}\\text{ se rechaza } H_1\\\\[3ex]\\text{Si } \\chi^2>\\chi^2_{1-\\alpha|k-1}\\text{ se rechaza } H_0\\end{array}&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;70&#8243; width=&#8221;243&#8243; style=&#8221;vertical-align: 0px;&#8221;><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-de-la-prueba-chi-cuadrado\"><\/span> Ki kare testi \u00f6rne\u011fi<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Ki kare testinin tan\u0131m\u0131n\u0131 ve form\u00fcl\u00fcn\u00fc g\u00f6rd\u00fckten sonra, bu t\u00fcr istatistiksel testlerin nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6rebilmeniz i\u00e7in a\u015fa\u011f\u0131da ad\u0131m ad\u0131m \u00e7\u00f6z\u00fcml\u00fc bir \u00f6rnek sunulmaktad\u0131r.<\/p>\n<ul>\n<li> Bir ma\u011faza sahibi, sat\u0131\u015flar\u0131n\u0131n %50&#8217;sinin A \u00fcr\u00fcn\u00fc, %35&#8217;inin B \u00fcr\u00fcn\u00fc ve %15&#8217;inin C \u00fcr\u00fcn\u00fc oldu\u011funu s\u00f6yl\u00fcyor. Ancak her \u00fcr\u00fcn\u00fcn sat\u0131lan adetleri, sunuldu\u011fu adetlerdir. a\u015fa\u011f\u0131daki <a href=\"https:\/\/statorials.org\/tr\/olasilik-tablosu\/\">acil durum tablosunda<\/a> . Sahibinin teorik verilerinin toplanan ger\u00e7ek verilerden istatistiksel olarak farkl\u0131 olup olmad\u0131\u011f\u0131n\u0131 analiz edin.<\/li>\n<\/ul>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th> \u00dcr\u00fcn<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> G\u00f6zlemlenen sat\u0131\u015flar (O <sub>i<\/sub> )<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td> \u00dcr\u00fcn A<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 453<\/td>\n<\/tr>\n<tr>\n<td> \u00dcr\u00fcn B<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 268<\/td>\n<\/tr>\n<tr>\n<td> \u00dcr\u00fcn C<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 79<\/td>\n<\/tr>\n<tr>\n<td> Toplam<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 800<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p> \u00d6ncelikle ma\u011faza sahibinin bekledi\u011fi de\u011ferleri hesaplamam\u0131z gerekiyor. Bunu yapmak i\u00e7in her bir \u00fcr\u00fcn\u00fcn beklenen sat\u0131\u015f y\u00fczdesini, elde edilen toplam sat\u0131\u015f say\u0131s\u0131yla \u00e7arp\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-cfd0d5e1cc7a049ddd825c5db9eb4bec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}E_A=800\\cdot 0,5=400\\\\[2ex]E_B=800\\cdot 0,35=280\\\\[2ex]E_A=800\\cdot 0,15=120\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"92\" width=\"173\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla problemin <a href=\"https:\/\/statorials.org\/tr\/frekans-dagilimi\/\">frekans da\u011f\u0131l\u0131m tablosu<\/a> \u015fu \u015fekildedir:<\/p>\n<figure class=\"wp-block-table aligncenter is-style-stripes\">\n<table>\n<thead>\n<tr>\n<th> \u00dcr\u00fcn<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> G\u00f6zlemlenen sat\u0131\u015flar (O <sub>i<\/sub> )<\/th>\n<th class=\"has-text-align-center\" data-align=\"center\"> Beklenen sat\u0131\u015flar (E <sub>i<\/sub> )<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td> \u00dcr\u00fcn A<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 453<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 400<\/td>\n<\/tr>\n<tr>\n<td> \u00dcr\u00fcn B<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 268<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 280<\/td>\n<\/tr>\n<tr>\n<td> \u00dcr\u00fcn C<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 79<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 120<\/td>\n<\/tr>\n<tr>\n<td> Toplam<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 800<\/td>\n<td class=\"has-text-align-center\" data-align=\"center\"> 800<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/figure>\n<p> Art\u0131k t\u00fcm de\u011ferleri hesaplad\u0131\u011f\u0131m\u0131za g\u00f6re test istatisti\u011fini hesaplamak i\u00e7in ki-kare test form\u00fcl\u00fcn\u00fc uyguluyoruz:<\/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-8c76621fbe8504217dfe8ac55b2d6e67_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\displaystyle\\chi^2=\\sum_{i=1}^k\\frac{(O_i-E_i)^2}{E_i}\\\\[6ex]\\chi^2=\\cfrac{(453-400)^2}{400}+\\cfrac{(268-280)^2}{280}+\\cfrac{(79-120)^2}{120}\\\\[6ex]\\chi^2=7,02+0,51+14,00\\\\[6ex]\\chi^2=21,53\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"252\" width=\"372\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Test istatisti\u011finin de\u011feri hesapland\u0131ktan sonra testin kritik de\u011ferini bulmak i\u00e7in ki-kare da\u011f\u0131l\u0131m tablosunu kullan\u0131r\u0131z. Ki-kare da\u011f\u0131l\u0131m\u0131<\/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-d7ae885b62b57867e96527f583044991_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"k-1=3-1=2\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"135\" style=\"vertical-align: 0px;\"><\/p>\n<p> serbestlik derecesi, dolay\u0131s\u0131yla bir \u00f6nem d\u00fczeyi se\u00e7ersek<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-76d20f2945704d6640a4b9986b8b7c16_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha=0,05\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"69\" style=\"vertical-align: -4px;\"><\/p>\n<p> Testin kritik de\u011feri 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-1850e764fc71b1e7b49b0c4d8133ab89_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\chi^2_{1-\\alpha|k-1}=\\ \\color{orange}\\bm{?}\\color{black}\\\\[4ex]\\chi^2_{0,95|2}=5,991\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"78\" width=\"199\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p> Dolay\u0131s\u0131yla test istatisti\u011fi (21,53) kritik test de\u011ferinden (5,991) b\u00fcy\u00fck oldu\u011fundan s\u0131f\u0131r hipotezi reddedilir ve alternatif hipotez kabul edilir. Bu, verilerin \u00e7ok farkl\u0131 oldu\u011fu ve dolay\u0131s\u0131yla ma\u011faza sahibinin ger\u00e7ekte ger\u00e7ekle\u015fenden farkl\u0131 sat\u0131\u015flar bekledi\u011fi anlam\u0131na gelir. <\/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-90430933949106828df9b184b6215225_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"21,53>5,991 \\ \\color{orange}\\bm{\\longrightarrow}\\color{black} \\ \\text{Se rechaza } H_0&#8243; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;17&#8243; width=&#8221;354&#8243; style=&#8221;vertical-align: -4px;&#8221;><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"interpretacion-de-la-prueba-chi-cuadrado\"><\/span> Ki kare testinin yorumlanmas\u0131<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Ki kare testinin yorumlanmas\u0131<\/strong> yaln\u0131zca elde edilen test sonucuyla yap\u0131lamaz, testin kritik de\u011feriyle kar\u015f\u0131la\u015ft\u0131r\u0131lmas\u0131 gerekir.<\/p>\n<p> Mant\u0131ksal olarak, hesaplanan test istatisti\u011finin de\u011feri ne kadar k\u00fc\u00e7\u00fckse, g\u00f6zlemlenen veriler beklenen verilere o kadar benzerdir. Yani ki-kare testi sonucu 0 ise g\u00f6zlenen de\u011ferler ile beklenen de\u011ferlerin tamamen ayn\u0131 oldu\u011fu anlam\u0131na gelir. \u00d6te yandan test sonucu ne kadar b\u00fcy\u00fck olursa, bu da g\u00f6zlenen de\u011ferlerin beklenen de\u011ferlerden o kadar farkl\u0131 oldu\u011fu anlam\u0131na gelir.<\/p>\n<p> Bununla birlikte, iki veri setinin istatistiksel olarak farkl\u0131 veya e\u015fit olup olmad\u0131\u011f\u0131na karar vermek i\u00e7in, s\u0131f\u0131r hipotezini veya kar\u015f\u0131tl\u0131\u011f\u0131n alternatif hipotezini reddetmek amac\u0131yla hesaplanan test de\u011feri kritik test de\u011feriyle kar\u015f\u0131la\u015ft\u0131r\u0131lmal\u0131d\u0131r. Test istatisti\u011fi da\u011f\u0131l\u0131m\u0131n kritik de\u011ferinden k\u00fc\u00e7\u00fckse alternatif hipotez reddedilir. \u00d6te yandan test istatisti\u011fi da\u011f\u0131l\u0131m\u0131n kritik de\u011ferinden b\u00fcy\u00fckse s\u0131f\u0131r hipotezi reddedilir.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu makalede istatistikte ki-kare testinin ne oldu\u011fu ve ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131 anlat\u0131lmaktad\u0131r. Ayr\u0131ca ki-kare testinin nas\u0131l yap\u0131laca\u011f\u0131n\u0131 ve buna ek olarak ad\u0131m ad\u0131m \u00e7\u00f6z\u00fclm\u00fc\u015f bir al\u0131\u015ft\u0131rmay\u0131 da ke\u015ffedeceksiniz. Ki kare testi nedir? Ki-kare testi, beklenen frekans ile g\u00f6zlenen frekans aras\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in kullan\u0131lan istatistiksel bir testtir. Mant\u0131ksal 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-322","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 Ki kare testi (\u03c7\u00b2)<\/title>\n<meta name=\"description\" content=\"Burada ki kare testinin ne oldu\u011funu, ne i\u00e7in kullan\u0131ld\u0131\u011f\u0131n\u0131, ki kare testinin (form\u00fcl) nas\u0131l yap\u0131ld\u0131\u011f\u0131n\u0131 ve \u00e7\u00f6z\u00fcml\u00fc bir al\u0131\u015ft\u0131rmay\u0131 \u00f6\u011freneceksiniz.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" 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