{"id":1370,"date":"2023-07-26T16:14:28","date_gmt":"2023-07-26T16:14:28","guid":{"rendered":"https:\/\/statorials.org\/tr\/yates-sureklilik-duzeltmesi\/"},"modified":"2023-07-26T16:14:28","modified_gmt":"2023-07-26T16:14:28","slug":"yates-sureklilik-duzeltmesi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/yates-sureklilik-duzeltmesi\/","title":{"rendered":"Yate s\u00fcreklilik d\u00fczeltmesi: tan\u0131m ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">\u0130ki kategorik de\u011fi\u015fken aras\u0131nda anlaml\u0131 bir ili\u015fkinin olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <a href=\"https:\/\/statorials.org\/tr\/ki-kare-bagimsizlik-testi\/\" target=\"_blank\" rel=\"noopener\">ki-kare ba\u011f\u0131ms\u0131zl\u0131k testi<\/a> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu test a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> : (s\u0131f\u0131r hipotezi)<\/strong> \u0130ki de\u011fi\u015fken ba\u011f\u0131ms\u0131zd\u0131r.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> : (alternatif hipotez)<\/strong> \u0130ki de\u011fi\u015fken ba\u011f\u0131ms\u0131z <em>de\u011fildir<\/em> . (yani ili\u015fkilidirler)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu test i\u00e7in Ki-kare x <sup>2<\/sup> test istatisti\u011fini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131yoruz:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>X <sup>2<\/sup> = \u03a3(O <sub>ben<\/sub> -E <sub>ben<\/sub> ) <sup>2<\/sup> \/ E <sub>ben<\/sub><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Alt\u0131n:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>\u03a3:<\/strong> \u201ctoplam\u201d anlam\u0131na gelen s\u00fcsl\u00fc bir sembold\u00fcr<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>O:<\/strong> g\u00f6zlemlenen de\u011fer<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>E:<\/strong> beklenen de\u011fer<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu test, bir beklenmedik durum tablosundaki frekanslar\u0131n ayr\u0131k olas\u0131l\u0131klar\u0131n\u0131n, s\u00fcrekli bir da\u011f\u0131l\u0131m olan Ki-kare da\u011f\u0131l\u0131m\u0131 ile yakla\u015f\u0131k olarak tahmin edilebilece\u011fini varsayar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ancak bu varsay\u0131m biraz yanl\u0131\u015f olma e\u011filimindedir ve sonu\u00e7ta ortaya \u00e7\u0131kan test istatistikleri yukar\u0131 do\u011fru sapma e\u011filimindedir.<\/span><\/p>\n<p> Bu yanl\u0131l\u0131\u011f\u0131 d\u00fczeltmek i\u00e7in, <span style=\"color: #000000;\"><sup>X2<\/sup> form\u00fcl\u00fcne a\u015fa\u011f\u0131daki d\u00fczeltmeyi uygulayan <strong>Yate&#8217;in s\u00fcreklilik d\u00fczeltmesini<\/strong><\/span> <span style=\"color: #000000;\">uygulayabiliriz<\/span> :<\/p>\n<p> <span style=\"color: #000000;\"><strong>X <sup>2<\/sup> = \u03a3(|O <sub>i<\/sub> -E <sub>ben<\/sub> | \u2013 0,5) <sup>2<\/sup> \/ E <sub>ben<\/sub><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Genellikle bu d\u00fczeltmeyi yaln\u0131zca beklenmedik durum tablosundaki en az bir h\u00fccrenin beklenen frekans\u0131 5&#8217;ten az oldu\u011funda kullan\u0131r\u0131z.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>\u00d6rnek: Yate&#8217;in s\u00fcreklilik d\u00fczeltmesinin uygulanmas\u0131<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Cinsiyetin siyasi parti tercihiyle ili\u015fkili olup olmad\u0131\u011f\u0131n\u0131 bilmek istedi\u011fimizi varsayal\u0131m. 40 se\u00e7menden olu\u015fan basit rastgele bir \u00f6rneklem al\u0131yoruz ve onlara siyasi parti tercihlerini soruyoruz. A\u015fa\u011f\u0131daki tabloda anketin sonu\u00e7lar\u0131 sunulmaktad\u0131r:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13599 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/yates2.png\" alt=\"\" width=\"429\" height=\"108\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\">Yate&#8217;in s\u00fcreklilik d\u00fczeltmesi ile ki-kare ba\u011f\u0131ms\u0131zl\u0131k testini \u015fu \u015fekilde ger\u00e7ekle\u015ftirebilirsiniz:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">G\u00f6zlemlenen de\u011ferler:<\/span><\/strong> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13599 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/yates2.png\" alt=\"\" width=\"429\" height=\"108\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <strong><span style=\"color: #000000;\">Beklenen de\u011ferler:<\/span><\/strong> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-13600 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/yates3.png\" alt=\"\" width=\"362\" height=\"84\" srcset=\"\" sizes=\"auto, \"><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> Her h\u00fccredeki beklenen de\u011feri, sat\u0131r toplam\u0131n\u0131 s\u00fctun toplam\u0131yla \u00e7arp\u0131p genel toplama b\u00f6lerek hesapl\u0131yoruz. \u00d6rne\u011fin Cumhuriyet\u00e7i erkeklerin beklenen say\u0131s\u0131 (21*19)\/40 = 9.975&#8217;tir.<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><sup>Ki<\/sup> <sup>&#8211;<\/sup> <sub>kare<\/sub> <sub>testi<\/sub> <sub>istatisti\u011fi<\/sub><\/strong> <strong>:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">(|8-9,975| \u2013 0,5) <sup>2<\/sup> \/ 9,975 = 0,218<\/span><\/li>\n<li> <span style=\"color: #000000;\">(|9-6,3| \u2013 0,5) <sup>2<\/sup> \/ 6,3 = 0,768<\/span><\/li>\n<li> <span style=\"color: #000000;\">(|4-4,725| \u2013 0,5) <sup>2<\/sup> \/ 4,725 = 0,011<\/span><\/li>\n<li> <span style=\"color: #000000;\">(|11-9,025| \u2013 0,5) <sup>2<\/sup> \/ 9,025 = 0,241<\/span><\/li>\n<li> <span style=\"color: #000000;\">(|3-5,7| \u2013 0,5) <sup>2<\/sup> \/ 5,7 = 0,849<\/span><\/li>\n<li> <span style=\"color: #000000;\">(|5-4,275| \u2013 0,5) <sup>2<\/sup> \/ 4,275 = 0,012<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><sup>Yani<\/sup> ,<\/span><\/p>\n<p> <span style=\"color: #000000;\">P-de\u011feri: <a href=\"https:\/\/statorials.org\/tr\/ki-kare-p-degeri-hesaplayici\/\" target=\"_blank\" rel=\"noopener\">Ki-kare-P-de\u011feri hesaplay\u0131c\u0131s\u0131na<\/a> g\u00f6re, 2 serbestlik derecesine sahip bir ki-kare test istatisti\u011fine kar\u015f\u0131l\u0131k gelen p-de\u011feri <strong>0,3501&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu p de\u011feri 0,05&#8217;ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan s\u0131f\u0131r hipotezini reddetmede ba\u015far\u0131s\u0131z olaca\u011f\u0131z. 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","protected":false},"excerpt":{"rendered":"<p>\u0130ki kategorik de\u011fi\u015fken aras\u0131nda anlaml\u0131 bir ili\u015fkinin olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in ki-kare ba\u011f\u0131ms\u0131zl\u0131k testi kullan\u0131l\u0131r. Bu test a\u015fa\u011f\u0131daki bo\u015f ve alternatif hipotezleri kullan\u0131r: H 0 : (s\u0131f\u0131r hipotezi) \u0130ki de\u011fi\u015fken ba\u011f\u0131ms\u0131zd\u0131r. H 1 : (alternatif hipotez) \u0130ki de\u011fi\u015fken ba\u011f\u0131ms\u0131z de\u011fildir . (yani ili\u015fkilidirler) Bu test i\u00e7in Ki-kare x 2 test istatisti\u011fini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc [&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-1370","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>Yate s\u00fcreklilik d\u00fczeltmesi: tan\u0131m ve \u00f6rnek<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde resmi bir tan\u0131m ve \u00f6rnek de dahil olmak \u00fczere Yate&#039;in s\u00fcreklilik d\u00fczeltmesine ili\u015fkin bir a\u00e7\u0131klama sa\u011flanmaktad\u0131r.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, 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