{"id":550,"date":"2023-07-29T13:10:41","date_gmt":"2023-07-29T13:10:41","guid":{"rendered":"https:\/\/statorials.org\/tr\/ki-kare-dagilim-tablosu-nasil-okunur\/"},"modified":"2023-07-29T13:10:41","modified_gmt":"2023-07-29T13:10:41","slug":"ki-kare-dagilim-tablosu-nasil-okunur","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ki-kare-dagilim-tablosu-nasil-okunur\/","title":{"rendered":"Ki kare da\u011f\u0131l\u0131m tablosu nas\u0131l okunur?"},"content":{"rendered":"<p><span style=\"color: #000000;\">Bu e\u011fitimde Ki-kare da\u011f\u0131l\u0131m grafi\u011finin nas\u0131l okunaca\u011f\u0131 ve yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n<h2> <strong>Ki kare da\u011f\u0131l\u0131m tablosu nedir?<\/strong><\/h2>\n<p> <span style=\"color: #000000;\"><strong>Ki-kare<\/strong> <strong>da\u011f\u0131l\u0131m tablosu,<\/strong> Ki-kare da\u011f\u0131l\u0131m\u0131n\u0131n kritik de\u011ferlerini g\u00f6steren bir tablodur. Ki-kare da\u011f\u0131l\u0131m tablosunu kullanmak i\u00e7in yaln\u0131zca iki de\u011feri bilmeniz gerekir:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ki kare testi i\u00e7in serbestlik dereceleri<\/span><\/li>\n<li> <span style=\"color: #000000;\">Testin alfa d\u00fczeyi (ortak se\u00e7enekler 0,01, 0,05 ve 0,10&#8217;dur)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki resimde Ki-kare da\u011f\u0131t\u0131m tablosunun ilk 20 sat\u0131r\u0131, tablonun sol taraf\u0131nda serbestlik dereceleri ve tablonun \u00fcst\u00fcnde alfa d\u00fczeyleriyle birlikte g\u00f6sterilmektedir:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> Daha fazla serbestlik derecesine sahip tam bir Ki-kare da\u011f\u0131l\u0131m tablosunu burada bulabilirsiniz.<\/em><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4854 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_square_table_small.jpg\" alt=\"\" width=\"706\" height=\"430\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Tablodaki kritik de\u011ferler s\u0131kl\u0131kla Ki-kare testinin test istatistikleriyle kar\u015f\u0131la\u015ft\u0131r\u0131l\u0131r. Test istatisti\u011fi tabloda bulunan kritik de\u011ferden b\u00fcy\u00fckse, Ki-kare testinin s\u0131f\u0131r hipotezini reddedebilir ve test sonu\u00e7lar\u0131n\u0131n istatistiksel olarak anlaml\u0131 oldu\u011fu sonucuna varabilirsiniz.<\/span><\/p>\n<h2> <strong>Ki-kare da\u011f\u0131l\u0131m tablosunu kullanma \u00f6rnekleri<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki \u00fc\u00e7 tip Ki-kare testiyle Ki-kare da\u011f\u0131l\u0131m tablosunun nas\u0131l kullan\u0131laca\u011f\u0131n\u0131 g\u00f6sterece\u011fiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ba\u011f\u0131ms\u0131zl\u0131k i\u00e7in ki-kare testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Uyum iyili\u011fi i\u00e7in ki-kare testi<\/span><\/li>\n<li> <span style=\"color: #000000;\">Homojenlik i\u00e7in ki-kare testi<\/span><\/li>\n<\/ul>\n<h3> <strong>Ba\u011f\u0131ms\u0131zl\u0131k i\u00e7in ki-kare testi<\/strong><\/h3>\n<p> <span style=\"color: #000000;\">\u0130ki kategorik de\u011fi\u015fken aras\u0131nda anlaml\u0131 bir ili\u015fki olup olmad\u0131\u011f\u0131n\u0131 test etmek istedi\u011fimizde<\/span> <strong>ba\u011f\u0131ms\u0131zl\u0131k i\u00e7in Ki-kare testi<\/strong> <span style=\"color: #000000;\">kullan\u0131r\u0131z<\/span> .<\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek:<\/strong> Cinsiyetin bir siyasi parti tercihiyle ili\u015fkili olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. 500 se\u00e7menden olu\u015fan basit rastgele bir \u00f6rneklem al\u0131yoruz ve onlara siyasi parti tercihlerini soruyoruz. Cinsiyetin siyasi parti tercihiyle ili\u015fkili olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in 0,05 anlaml\u0131l\u0131k d\u00fczeyini kullanarak ki-kare testi yap\u0131yoruz.<\/span> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki tabloda anketin sonu\u00e7lar\u0131 sunulmaktad\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4856 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_square_table1.jpg\" alt=\"\" width=\"491\" height=\"110\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Bu Ki-kare testi i\u00e7in test istatisti\u011finin 0,864 oldu\u011fu ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra kritik test de\u011ferini Ki kare da\u011f\u0131l\u0131m tablosunda bulabiliriz. Serbestlik dereceleri (#sat\u0131r-1) * (#s\u00fctun-1) = (2-1) * (3-1) = 2&#8217;ye e\u015fittir ve problem bize 0,05 alfa d\u00fczeyi kullanmam\u0131z gerekti\u011fini s\u00f6ylemi\u015ftir. Ki-kare da\u011f\u0131l\u0131m tablosuna g\u00f6re testin kritik de\u011feri <strong>5,991&#8217;dir<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4857 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_carre_table2.jpg\" alt=\"\" width=\"704\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fimiz kritik de\u011ferden k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddedemiyoruz. Bu, cinsiyet ile siyasi parti tercihleri aras\u0131nda bir ili\u015fki oldu\u011funu s\u00f6yleyecek yeterli kan\u0131ta sahip olmad\u0131\u011f\u0131m\u0131z anlam\u0131na geliyor.<\/span><\/p>\n<h2> <strong>Uyum iyili\u011fi i\u00e7in ki-kare testi<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Kategorik bir de\u011fi\u015fkenin varsay\u0131msal bir da\u011f\u0131l\u0131m takip edip etmedi\u011fini test etmek istedi\u011fimizde ki <strong>-kare<\/strong> <strong>uyum iyili\u011fi testini<\/strong> kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek:<\/strong> Bir ma\u011faza sahibi, hafta sonu m\u00fc\u015fterilerinin %30&#8217;unun Cuma, %50&#8217;sinin Cumartesi ve %20&#8217;sinin Pazar g\u00fcn\u00fc geldi\u011fini s\u00f6yl\u00fcyor. Ba\u011f\u0131ms\u0131z bir ara\u015ft\u0131rmac\u0131 rastgele bir hafta sonu ma\u011fazay\u0131 ziyaret ediyor ve Cuma g\u00fcn\u00fc 91, Cumartesi g\u00fcn\u00fc 104 ve Pazar g\u00fcn\u00fc 65 m\u00fc\u015fteri buluyor. Verilerin ma\u011faza sahibinin iddias\u0131yla tutarl\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla uyumun iyili\u011fini kontrol etmek i\u00e7in 0,10 anlaml\u0131l\u0131k d\u00fczeyini kullanarak ki-kare testi yap\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu durumda test istatisti\u011fi 10.616 olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra kritik test de\u011ferini Ki kare da\u011f\u0131l\u0131m tablosunda bulabiliriz. Serbestlik dereceleri (#outcomes-1) = 3-1 = 2&#8217;ye e\u015fittir ve problem bize 0,10&#8217;luk bir alfa d\u00fczeyi kullanmam\u0131z gerekti\u011fini s\u00f6yler. Yani Ki-kare da\u011f\u0131l\u0131m tablosuna g\u00f6re testin kritik de\u011feri <strong>4,605&#8217;tir<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4859 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_square_table3.jpg\" alt=\"\" width=\"706\" height=\"236\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fimiz kritik de\u011ferden b\u00fcy\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddediyoruz. Bu, hafta sonu bu ma\u011fazaya gelen m\u00fc\u015fterilerin ger\u00e7ek da\u011f\u0131l\u0131m\u0131n\u0131n Cuma g\u00fcn\u00fc %30, Cumartesi g\u00fcn\u00fc %50 ve Pazar g\u00fcn\u00fc %20&#8217;ye e\u015fit olmad\u0131\u011f\u0131n\u0131 s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z oldu\u011fu anlam\u0131na gelir.<\/span><\/p>\n<h2> <strong>Homojenlik i\u00e7in ki-kare testi<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Birden fazla grup aras\u0131nda oranlarda farkl\u0131l\u0131k olup olmad\u0131\u011f\u0131n\u0131 resmi olarak test etmek istedi\u011fimizde <strong>homojenlik i\u00e7in Ki-kare testini<\/strong> kullan\u0131r\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>\u00d6rnek:<\/strong> Bir basketbol antrenman merkezi, iki yeni antrenman program\u0131n\u0131n zorlu bir \u015fut testini ge\u00e7en oyuncular\u0131n\u0131n oran\u0131n\u0131 art\u0131r\u0131p art\u0131rmad\u0131\u011f\u0131n\u0131 g\u00f6rmek istiyor. 172 oyuncu program 1&#8217;e, 173 oyuncu program 2&#8217;ye ve 215 oyuncu da mevcut programa rastgele atan\u0131r. Oyuncular bir ay boyunca antrenman programlar\u0131n\u0131 kulland\u0131ktan sonra \u015fut testine giriyorlar. A\u015fa\u011f\u0131daki tablo, kulland\u0131klar\u0131 programa g\u00f6re at\u0131\u015f testini ge\u00e7en oyuncular\u0131n say\u0131s\u0131n\u0131 g\u00f6stermektedir.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4860 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_carre_table4.jpg\" alt=\"\" width=\"556\" height=\"107\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Ba\u015far\u0131 oran\u0131n\u0131n her e\u011fitim program\u0131 i\u00e7in ayn\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in 0,05 anlaml\u0131l\u0131k d\u00fczeyini kullanarak ki-kare testi yap\u0131yoruz.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu Ki-kare testi i\u00e7in test istatisti\u011finin 4,208 oldu\u011fu ortaya \u00e7\u0131kt\u0131.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Daha sonra kritik test de\u011ferini Ki kare da\u011f\u0131l\u0131m tablosunda bulabiliriz. Serbestlik dereceleri (#sat\u0131r-1) * (#s\u00fctun-1) = (2-1) * (3-1) = 2&#8217;ye e\u015fittir ve problem bize 0,05 alfa d\u00fczeyi kullanmam\u0131z gerekti\u011fini s\u00f6ylemi\u015ftir. Ki-kare da\u011f\u0131l\u0131m tablosuna g\u00f6re testin kritik de\u011feri <strong>5,991&#8217;dir<\/strong> .<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-4857 size-full\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/chi_carre_table2.jpg\" alt=\"\" width=\"704\" height=\"234\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Test istatisti\u011fimiz kritik de\u011ferden k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddedemiyoruz. Bu, \u00fc\u00e7 e\u011fitim program\u0131n\u0131n farkl\u0131 sonu\u00e7lar \u00fcretti\u011fini s\u00f6ylemek i\u00e7in yeterli kan\u0131ta sahip olmad\u0131\u011f\u0131m\u0131z anlam\u0131na geliyor.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Bu e\u011fitimde Ki-kare da\u011f\u0131l\u0131m grafi\u011finin nas\u0131l okunaca\u011f\u0131 ve yorumlanaca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. Ki kare da\u011f\u0131l\u0131m tablosu nedir? Ki-kare da\u011f\u0131l\u0131m tablosu, Ki-kare da\u011f\u0131l\u0131m\u0131n\u0131n kritik de\u011ferlerini g\u00f6steren bir tablodur. Ki-kare da\u011f\u0131l\u0131m tablosunu kullanmak i\u00e7in yaln\u0131zca iki de\u011feri bilmeniz gerekir: Ki kare testi i\u00e7in serbestlik dereceleri Testin alfa d\u00fczeyi (ortak se\u00e7enekler 0,01, 0,05 ve 0,10&#8217;dur) A\u015fa\u011f\u0131daki resimde Ki-kare da\u011f\u0131t\u0131m tablosunun [&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-550","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>Ki Kare Da\u011f\u0131l\u0131m Tablosu Nas\u0131l Okunur?<\/title>\n<meta name=\"description\" content=\"Ki-kare da\u011f\u0131l\u0131m tablosunda kritik de\u011ferlerin nas\u0131l bulunaca\u011f\u0131na dair birka\u00e7 \u00f6rnekle 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