{"id":582,"date":"2023-07-29T10:38:11","date_gmt":"2023-07-29T10:38:11","guid":{"rendered":"https:\/\/statorials.org\/tr\/iki-ornek-t-testi-excel\/"},"modified":"2023-07-29T10:38:11","modified_gmt":"2023-07-29T10:38:11","slug":"iki-ornek-t-testi-excel","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/iki-ornek-t-testi-excel\/","title":{"rendered":"Excel'de iki \u00f6rnekli t testi nas\u0131l yap\u0131l\u0131r"},"content":{"rendered":"

<\/p>\n

\n

\u0130ki \u00f6rneklem t testi,<\/strong><\/a> iki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r.<\/span><\/p>\n

Bu e\u011fitimde Excel’de iki \u00f6rnekli t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n

Excel’de iki \u00f6rnekli t testi nas\u0131l yap\u0131l\u0131r<\/strong><\/span><\/h2>\n

Ara\u015ft\u0131rmac\u0131lar\u0131n belirli bir \u00fclkedeki iki farkl\u0131 bitki t\u00fcr\u00fcn\u00fcn ayn\u0131 ortalama boya sahip olup olmad\u0131\u011f\u0131n\u0131 bilmek istediklerini varsayal\u0131m. Her bitkiyi dola\u015f\u0131p \u00f6l\u00e7mek \u00e7ok uzun zaman alaca\u011f\u0131 i\u00e7in her t\u00fcrden 20 bitkiden \u00f6rnek almaya karar verdiler.<\/span><\/p>\n

A\u015fa\u011f\u0131daki g\u00f6r\u00fcnt\u00fc, her \u00f6rnekteki her bitkinin y\u00fcksekli\u011fini (in\u00e7 cinsinden) g\u00f6sterir:<\/span> <\/p>\n

\"Excel'deki<\/p>\n

A\u015fa\u011f\u0131daki ad\u0131mlar\u0131 izleyerek iki t\u00fcr\u00fcn ayn\u0131 ortalama boya sahip olup olmad\u0131\u011f\u0131n\u0131 belirlemek i\u00e7in iki \u00f6rnekli bir t testi yapabiliriz:<\/span><\/p>\n

Ad\u0131m 1: Pop\u00fclasyon varyanslar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 belirleyin<\/strong> .<\/span><\/p>\n

\u0130ki \u00f6rnekli t testi uygulad\u0131\u011f\u0131m\u0131zda \u00f6ncelikle iki pop\u00fclasyonun varyanslar\u0131n\u0131n e\u015fit mi yoksa e\u015fit olmad\u0131\u011f\u0131n\u0131 m\u0131 varsayaca\u011f\u0131m\u0131za karar vermeliyiz. Genel olarak, en b\u00fcy\u00fck \u00f6rnek varyans\u0131n\u0131n en k\u00fc\u00e7\u00fck \u00f6rnek varyans\u0131na oran\u0131 4:1’den azsa pop\u00fclasyonlar\u0131n e\u015fit varyanslara sahip oldu\u011funu varsayabiliriz.<\/span><\/p>\n

A\u015fa\u011f\u0131daki resimde g\u00f6sterildi\u011fi gibi =VAR.S(H\u00fccre aral\u0131\u011f\u0131)<\/strong> Excel i\u015flevini kullanarak her numunenin varyans\u0131n\u0131 bulabiliriz:<\/span> <\/p>\n

\"Excel'de<\/p>\n

En b\u00fcy\u00fck \u00f6rnek varyans\u0131n\u0131n en k\u00fc\u00e7\u00fck \u00f6rnek varyans\u0131na oran\u0131 12.9053\/8.1342 = 1.586<\/strong> olup 4’ten k\u00fc\u00e7\u00fckt\u00fcr. Bu, pop\u00fclasyon varyanslar\u0131n\u0131n e\u015fit oldu\u011funu varsayabilece\u011fimiz anlam\u0131na gelir.<\/span><\/p>\n

Ad\u0131m 2: Analiz Ara\u00e7 Paketini a\u00e7\u0131n<\/strong> .<\/span><\/p>\n

\u00dcst \u015feridin Veri sekmesinde \u201cVeri Analizi\u201dne t\u0131klay\u0131n.<\/span> <\/p>\n

\"Excel<\/p>\n

T\u0131klamak i\u00e7in bu se\u00e7ene\u011fi g\u00f6remiyorsan\u0131z, \u00f6ncelikle tamamen \u00fccretsiz olan Analiz Ara\u00e7 Paketi’ni indirmeniz<\/a> gerekir.<\/span><\/p>\n

Ad\u0131m 3: Kullan\u0131lacak uygun testi se\u00e7in.<\/strong><\/span><\/p>\n

T-testi: e\u015fit varyanslar\u0131 varsayan iki \u00f6rnek<\/em> yazan se\u00e7ene\u011fi se\u00e7in ve ard\u0131ndan Tamam’a t\u0131klay\u0131n.<\/span> <\/p>\n

\"Excel'de<\/p>\n

Ad\u0131m 4: Gerekli bilgileri girin<\/strong> .<\/span><\/p>\n

De\u011fi\u015fken 1 (ilk \u00f6rne\u011fimiz), de\u011fi\u015fken 2 (ikinci \u00f6rne\u011fimiz), varsay\u0131msal ortalama fark\u0131 i\u00e7in de\u011fer aral\u0131\u011f\u0131n\u0131 girin (bu durumda “0” koyar\u0131z \u00e7\u00fcnk\u00fc ger\u00e7ek pop\u00fclasyon ortalama fark\u0131n\u0131n 0 olup olmad\u0131\u011f\u0131n\u0131 bilmek isteriz) ve t-testi sonu\u00e7lar\u0131n\u0131n g\u00f6r\u00fcnt\u00fclenmesini istedi\u011fimiz \u00e7\u0131k\u0131\u015f aral\u0131\u011f\u0131. Daha sonra Tamam’\u0131 t\u0131klay\u0131n.<\/span> <\/p>\n

\"Excel'de<\/p>\n

Ad\u0131m 5: Sonu\u00e7lar\u0131 yorumlay\u0131n<\/strong> .<\/span><\/p>\n

\u00d6nceki ad\u0131mda Tamam’a t\u0131klad\u0131\u011f\u0131n\u0131zda t-testi sonu\u00e7lar\u0131 g\u00f6r\u00fcnt\u00fclenecektir.<\/span> <\/p>\n

\"Excel'de<\/p>\n

Sonu\u00e7lar\u0131 nas\u0131l yorumlayaca\u011f\u0131n\u0131z a\u015fa\u011f\u0131da a\u00e7\u0131klanm\u0131\u015ft\u0131r:<\/span><\/p>\n

Ortalama:<\/strong> Bu, her numunenin ortalamas\u0131d\u0131r. \u00d6rnek 1’in ortalama y\u00fcksekli\u011fi 15,15<\/strong> ve \u00f6rnek 2’nin ortalama y\u00fcksekli\u011fi 15,8’dir<\/strong> .<\/span><\/p>\n

Varyans:<\/strong> Bu, her numunenin varyans\u0131d\u0131r. \u00d6rnek 1’in varyans\u0131 8,13<\/strong> ve \u00f6rnek 2’nin varyans\u0131 12,90’d\u0131r<\/strong> .<\/span><\/p>\n

G\u00f6zlemler:<\/strong> Bu, her bir \u00f6rnekteki g\u00f6zlemlerin say\u0131s\u0131d\u0131r. Her iki \u00f6rnek de 20<\/strong> g\u00f6zlem i\u00e7erir (\u00f6rne\u011fin her \u00f6rnekte 20 ayr\u0131 bitki).<\/span><\/p>\n

Havuzlanm\u0131\u015f varyans:<\/strong> s 2<\/sup> p<\/sub> = [ (n 1<\/sub> -1)s 2<\/sup> 1<\/sub> + (n 2<\/sub> -1)s 2<\/sup> 2<\/sub> ] \/ (n 1<\/sub> +n 2<\/sub> -) form\u00fcl\u00fc kullan\u0131larak her numunenin varyanslar\u0131n\u0131n “bir araya getirilmesiyle” hesaplanan say\u0131 2), bunun 10,51974<\/strong> oldu\u011fu ortaya \u00e7\u0131k\u0131yor. Bu say\u0131 daha sonra t<\/em> -testi istatisti\u011fi hesaplan\u0131rken kullan\u0131l\u0131r.<\/span><\/p>\n

Varsay\u0131msal Ortalama Fark\u0131:<\/strong> Hakk\u0131nda “varsay\u0131m kurdu\u011fumuz” say\u0131, iki pop\u00fclasyonun ortalamalar\u0131 aras\u0131ndaki farkt\u0131r. Bu durumda 0’\u0131<\/strong> se\u00e7tik \u00e7\u00fcnk\u00fc iki pop\u00fclasyonun ortalamalar\u0131 aras\u0131ndaki fark\u0131n 0’a e\u015fit olup olmad\u0131\u011f\u0131n\u0131, \u00f6rne\u011fin fark olup olmad\u0131\u011f\u0131n\u0131 test etmek istiyoruz.<\/span><\/p>\n

df:<\/strong> n 1<\/sub> + n 2<\/sub> -2 = 20 + 20 \u2013 2 = 38<\/strong> olarak hesaplanan t testi i\u00e7in serbestlik derecesi.<\/span><\/p>\n

t \u0130statistik:<\/strong> Test istatisti\u011fi t<\/em> , \u015fu \u015fekilde hesaplan\u0131r : t<\/em> = [ x<\/span> 1<\/sub> \u2013 x<\/span> 2<\/sub> ] \/ \u221a [s 2<\/sup> p<\/sub> (1\/n 1<\/sub> + 1\/n 2<\/sub> )]<\/span><\/p>\n

Bu durumda t<\/em> = [15,15-15,8] \/ \u221a [10,51974(1\/20+1\/20)] = -0,63374<\/strong> .<\/span><\/p>\n

\u0130ki kuyruklu P(T<=t):<\/strong> iki kuyruklu t testi i\u00e7in p de\u011feri. Bu durumda p = 0,530047<\/strong> . Bu, alfa = 0,05’ten \u00e7ok daha b\u00fcy\u00fckt\u00fcr, dolay\u0131s\u0131yla s\u0131f\u0131r hipotezini reddetmede ba\u015far\u0131s\u0131z oluyoruz. \u0130ki pop\u00fclasyonun ortalamalar\u0131n\u0131n farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n

t \u0130ki Kuyruklu Kritik:<\/strong> Testin kritik de\u011feri olup, alfa = 0,05 ve df = 38 olan iki kuyruklu bir teste kar\u015f\u0131l\u0131k gelen de\u011ferin t-da\u011f\u0131l\u0131m tablosunda tan\u0131mlanmas\u0131yla bulunur. Bu de\u011fer 2 olur, 024394<\/strong> . T-<\/em> testi istatisti\u011fimiz bu de\u011ferden k\u00fc\u00e7\u00fck oldu\u011fundan s\u0131f\u0131r hipotezini reddedemiyoruz. \u0130ki pop\u00fclasyonun ortalamalar\u0131n\u0131n farkl\u0131 oldu\u011funu s\u00f6yleyecek yeterli kan\u0131t\u0131m\u0131z yok.<\/span><\/p>\n

Hem p de\u011feri hem de kritik de\u011fer yakla\u015f\u0131m\u0131n\u0131n ayn\u0131 sonuca varaca\u011f\u0131n\u0131 unutmay\u0131n.<\/span><\/p>\n

Ek kaynaklar<\/strong><\/span><\/h3>\n

A\u015fa\u011f\u0131daki e\u011fitimlerde Excel’de di\u011fer t testi t\u00fcrlerinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/span><\/p>\n

Excel’de tek \u00f6rnek t testi nas\u0131l yap\u0131l\u0131r<\/a>
Excel’de e\u015fle\u015ftirilmi\u015f \u00f6rnekler t testi nas\u0131l yap\u0131l\u0131r<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"

\u0130ki \u00f6rneklem t testi, iki pop\u00fclasyonun ortalamalar\u0131n\u0131n e\u015fit olup olmad\u0131\u011f\u0131n\u0131 test etmek i\u00e7in kullan\u0131l\u0131r. Bu e\u011fitimde Excel’de iki \u00f6rnekli t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r. Excel’de iki \u00f6rnekli t testi nas\u0131l yap\u0131l\u0131r Ara\u015ft\u0131rmac\u0131lar\u0131n belirli bir \u00fclkedeki iki farkl\u0131 bitki t\u00fcr\u00fcn\u00fcn ayn\u0131 ortalama boya sahip olup olmad\u0131\u011f\u0131n\u0131 bilmek istediklerini varsayal\u0131m. Her bitkiyi dola\u015f\u0131p \u00f6l\u00e7mek \u00e7ok uzun zaman […]<\/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-582","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nExcel'de iki \u00f6rnekli t testi nas\u0131l yap\u0131l\u0131r - Statorials<\/title>\n<meta name=\"description\" content=\"\u0130zlenecek tam ad\u0131mlar\u0131 g\u00f6steren bir \u00f6rnekle birlikte, Excel'de iki \u00f6rnekli bir t testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fine ili\u015fkin basit bir a\u00e7\u0131klama.\" \/>\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\/iki-ornek-t-testi-excel\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Excel'de iki \u00f6rnekli t testi nas\u0131l yap\u0131l\u0131r - 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