{"id":754,"date":"2023-07-28T21:16:05","date_gmt":"2023-07-28T21:16:05","guid":{"rendered":"https:\/\/statorials.org\/tr\/ki-kare-uyum-iyiligi-testi\/"},"modified":"2023-07-28T21:16:05","modified_gmt":"2023-07-28T21:16:05","slug":"ki-kare-uyum-iyiligi-testi","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/ki-kare-uyum-iyiligi-testi\/","title":{"rendered":"Ki-kare uyum iyili\u011fi testi: tan\u0131m, form\u00fcl ve \u00f6rnek"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Kategorik bir de\u011fi\u015fkenin varsay\u0131msal bir da\u011f\u0131l\u0131ma uyup uymad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in <strong>ki-kare uyum iyili\u011fi testi<\/strong> kullan\u0131l\u0131r.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bu e\u011fitimde a\u015fa\u011f\u0131dakiler a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ki-kare uyum iyili\u011fi testi yapma motivasyonu.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ki-kare uyum iyili\u011fi testi ger\u00e7ekle\u015ftirme form\u00fcl\u00fc.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Ki-kare uyum iyili\u011fi testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine bir \u00f6rnek.<\/span><\/li>\n<\/ul>\n<h3> <span style=\"color: #000000;\"><strong>Ki-kare uyum iyili\u011fi testi: motivasyon<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ki-kare uyum iyili\u011fi testi \u00e7ok \u00e7e\u015fitli ba\u011flamlarda kullan\u0131labilir. \u0130\u015fte baz\u0131 \u00f6rnekler:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Bir zar\u0131n do\u011fru olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyoruz, bu y\u00fczden onu 50 kez at\u0131yoruz ve her say\u0131ya ka\u00e7 kez geldi\u011fini kaydediyoruz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Haftan\u0131n her g\u00fcn\u00fc bir ma\u011fazaya e\u015fit say\u0131da ki\u015finin girip girmedi\u011fini bilmek istiyoruz. Yani rastgele bir hafta boyunca her g\u00fcn giri\u015f yapan ki\u015fi say\u0131s\u0131n\u0131 say\u0131yoruz.<\/span><\/li>\n<li> <span style=\"color: #000000;\">Bir torban\u0131n i\u00e7erdi\u011fi M&amp;M y\u00fczdesinin \u015fu \u015fekilde olup olmad\u0131\u011f\u0131n\u0131 bilmek istiyoruz: %20 sar\u0131, %30 mavi, %30 k\u0131rm\u0131z\u0131, %20 di\u011fer. Bunu test etmek i\u00e7in rastgele bir M&amp;M paketi a\u00e7\u0131yoruz ve her renkten ka\u00e7 tane g\u00f6r\u00fcnd\u00fc\u011f\u00fcn\u00fc say\u0131yoruz.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Bu senaryolar\u0131n her birinde, bir de\u011fi\u015fkenin varsay\u0131msal bir da\u011f\u0131l\u0131m izleyip izlemedi\u011fini bilmek istiyoruz. Her senaryoda, bir de\u011fi\u015fkenin her d\u00fczeyi i\u00e7in beklenen say\u0131m say\u0131s\u0131nda g\u00f6zlemlenen say\u0131mlarla kar\u015f\u0131la\u015ft\u0131r\u0131ld\u0131\u011f\u0131nda istatistiksel olarak anlaml\u0131 bir fark olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in ki-kare uyum iyili\u011fi testi kullanabiliriz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ki-kare uyum iyili\u011fi testi: form\u00fcl<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Ki-kare uyum iyili\u011fi testi 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> Bir de\u011fi\u015fken varsay\u0131msal bir da\u011f\u0131l\u0131m izler.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> : (alternatif hipotez)<\/strong> Bir de\u011fi\u015fken varsay\u0131msal bir da\u011f\u0131l\u0131m izlemez.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ki-kare x <sup>2<\/sup> test istatisti\u011fini hesaplamak i\u00e7in a\u015fa\u011f\u0131daki form\u00fcl\u00fc kullan\u0131r\u0131z:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong><sup>X2<\/sup> = \u03a3(OE) <sup>2<\/sup> \/ E<\/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;\"><sup>Test<\/sup> istatisti\u011fine kar\u015f\u0131l\u0131k gelen p de\u011feri 05 ve 0,01 ise s\u0131f\u0131r hipotezini reddedebilirsiniz.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ki-kare uyum iyili\u011fi testi: \u00f6rnek<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Bir ma\u011faza sahibi, haftan\u0131n her g\u00fcn\u00fc ma\u011fazas\u0131na e\u015fit say\u0131da m\u00fc\u015fterinin geldi\u011fini s\u00f6yl\u00fcyor. Bu hipotezi test etmek i\u00e7in ba\u011f\u0131ms\u0131z bir ara\u015ft\u0131rmac\u0131, belirli bir haftada ma\u011fazaya gelen m\u00fc\u015fteri say\u0131s\u0131n\u0131 kaydeder ve a\u015fa\u011f\u0131dakileri bulur:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Pazartesi:<\/strong> 50 m\u00fc\u015fteri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Sal\u0131:<\/strong> 60 m\u00fc\u015fteri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00c7ar\u015famba:<\/strong> 40 m\u00fc\u015fteri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Per\u015fembe:<\/strong> 47 m\u00fc\u015fteri<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Cuma:<\/strong> 53 m\u00fc\u015fteri<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Verilerin ma\u011faza sahibinin iddias\u0131yla tutarl\u0131 olup olmad\u0131\u011f\u0131n\u0131 belirlemek amac\u0131yla ki-kare uyum iyili\u011fi testi ger\u00e7ekle\u015ftirmek i\u00e7in a\u015fa\u011f\u0131daki ad\u0131mlar\u0131 kullanaca\u011f\u0131z.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 1: Varsay\u0131mlar\u0131 tan\u0131mlay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki varsay\u0131mlar\u0131 kullanarak ki-kare uyum iyili\u011fi testini ger\u00e7ekle\u015ftirece\u011fiz:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>H <sub>0<\/sub> :<\/strong> Ma\u011fazaya her g\u00fcn e\u015fit say\u0131da m\u00fc\u015fteri girmektedir.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>H <sub>1<\/sub> :<\/strong> Ma\u011fazaya her g\u00fcn e\u015fit say\u0131da m\u00fc\u015fteri gelmiyor.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 2: Her g\u00fcn i\u00e7in (OE) <sup>2<\/sup> \/E&#8217;yi hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Hafta boyunca ma\u011fazaya toplam 250 m\u00fc\u015fteri geldi. Yani her g\u00fcn e\u015fit miktarda gelmesini bekleseydik, her g\u00fcn i\u00e7in beklenen &#8220;E&#8221; de\u011feri 50 olurdu.<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>Pazartesi:<\/strong> (50-50) <sup>2<\/sup> \/ 50 = 0<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Sal\u0131:<\/strong> (60-50) <sup>2<\/sup> \/ 50 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u00c7ar\u015famba:<\/strong> (40-50) <sup>2<\/sup> \/ 50 = 2<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Per\u015fembe:<\/strong> (47-50) <sup>2\/50<\/sup> = 0,18<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Cuma:<\/strong> (53-50) <sup>2\/50<\/sup> = 0,18<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m <sup>3<\/sup> : Test istatisti\u011fini hesaplay\u0131n<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>X <sup>2<\/sup><\/strong> = \u03a3(OE) <sup>2<\/sup> \/ E = 0 + 2 + 2 + 0,18 + 0,18 = <strong>4,36<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 4: <sup>X2<\/sup> test istatisti\u011finin p de\u011ferini hesaplay\u0131n.<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/tr\/ki-kare-p-degeri-hesaplayici\/\" target=\"_blank\" rel=\"noopener noreferrer\">P de\u011feri hesaplay\u0131c\u0131s\u0131n\u0131n ki-kare puan\u0131na<\/a> g\u00f6re, X <sup>2<\/sup> = 4,36 ve n-1 = 5-1 = 4 serbestlik derecesi ile ili\u015fkili p de\u011feri <strong>0,359472&#8217;dir<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Ad\u0131m 5: Bir sonu\u00e7 \u00e7\u0131kar\u0131n.<\/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 reddedemiyoruz. Bu, m\u00fc\u015fterilerin ger\u00e7ek da\u011f\u0131l\u0131m\u0131n\u0131n ma\u011faza sahibinin bildirdi\u011finden farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z olmad\u0131\u011f\u0131 anlam\u0131na geliyor.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><em><strong>Not:<\/strong> Bu testin tamam\u0131n\u0131 <a href=\"https:\/\/statorials.org\/tr\/ki-kare-uyum-iyiligi-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">, ki-kare uyum iyili\u011fi testi hesaplay\u0131c\u0131s\u0131n\u0131<\/a> kullanarak da tamamlayabilirsiniz.<\/em><\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Ek kaynaklar<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">A\u015fa\u011f\u0131daki e\u011fitimlerde farkl\u0131 istatistiksel programlar kullan\u0131larak ki-kare uyum iyili\u011fi testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/tr\/ki-kare-uyum-kalitesi-testi-excel\/\" target=\"_blank\" rel=\"noopener noreferrer\">Excel&#8217;de Ki Kare Uyum Testi Nas\u0131l Yap\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/uyum-durumunun-ki-kare-kalitesi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Stata&#8217;da ki-kare uyum iyili\u011fi testi nas\u0131l yap\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ayarlama-spss-kalitesinin-ki-kare-testi\/\">SPSS&#8217;de Ki Kare Uyum \u0130yili\u011fi Testi Nas\u0131l Yap\u0131l\u0131r?<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ki-kare-uyum-iyiligi-testi-pitonu\/\">Python&#8217;da ki-kare uyum iyili\u011fi testi nas\u0131l yap\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/rde-ki-kare-uyum-iyiligi-testi\/\">R&#8217;de ki-kare uyum iyili\u011fi testi nas\u0131l yap\u0131l\u0131r<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ki-kare-ayari-kalite-hesaplayici-ti-84\/\" target=\"_blank\" rel=\"noopener noreferrer\">TI-84 hesap makinesinde ki-kare uyum testi<\/a><br \/> <a href=\"https:\/\/statorials.org\/tr\/ki-kare-uyum-iyiligi-testi-hesaplayicisi\/\" target=\"_blank\" rel=\"noopener noreferrer\">Ki-kare uyum iyili\u011fi testi hesaplay\u0131c\u0131s\u0131<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kategorik bir de\u011fi\u015fkenin varsay\u0131msal bir da\u011f\u0131l\u0131ma uyup uymad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in ki-kare uyum iyili\u011fi testi kullan\u0131l\u0131r. Bu e\u011fitimde a\u015fa\u011f\u0131dakiler a\u00e7\u0131klanmaktad\u0131r: Ki-kare uyum iyili\u011fi testi yapma motivasyonu. Ki-kare uyum iyili\u011fi testi ger\u00e7ekle\u015ftirme form\u00fcl\u00fc. Ki-kare uyum iyili\u011fi testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine bir \u00f6rnek. Ki-kare uyum iyili\u011fi testi: motivasyon Ki-kare uyum iyili\u011fi testi \u00e7ok \u00e7e\u015fitli ba\u011flamlarda kullan\u0131labilir. \u0130\u015fte baz\u0131 \u00f6rnekler: [&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-754","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 uyum iyili\u011fi testi: tan\u0131m, form\u00fcl ve \u00f6rnek<\/title>\n<meta name=\"description\" content=\"Ad\u0131m ad\u0131m bir \u00f6rnek de dahil olmak \u00fczere ki-kare uyum iyili\u011fi testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin basit bir a\u00e7\u0131klama.\" \/>\n<meta name=\"robots\" content=\"index, follow, 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