Bu test t\u00fcr\u00fc, belirli bir veri k\u00fcmesinin normal da\u011f\u0131l\u0131mdan gelip gelmedi\u011fini belirlemek i\u00e7in kullan\u0131\u015fl\u0131d\u0131r; bu, regresyon<\/a> , ANOVA<\/a> , t testleri<\/a> ve di\u011ferleri de dahil olmak \u00fczere bir\u00e7ok istatistiksel testte yayg\u0131n olarak kullan\u0131lan bir varsay\u0131md\u0131r<\/a> . ‘di\u011ferleri.<\/span><\/p>\n R’deki goftest<\/strong> paketindeki cvm.test()<\/strong> fonksiyonunu kullanarak Cramer-Von Mises testini kolayl\u0131kla ger\u00e7ekle\u015ftirebiliriz.<\/span><\/p>\n A\u015fa\u011f\u0131daki \u00f6rnekte bu fonksiyonun pratikte nas\u0131l kullan\u0131laca\u011f\u0131 g\u00f6sterilmektedir.<\/span><\/p>\n A\u015fa\u011f\u0131daki kod, \u00f6rnek boyutu n=100 olan bir veri k\u00fcmesinde Cramer-Von Mises testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n Testin p de\u011feri 0,7007<\/strong> olarak \u00e7\u0131k\u0131yor.<\/span><\/p>\n Bu de\u011fer 0,05’ten k\u00fc\u00e7\u00fck olmad\u0131\u011f\u0131ndan \u00f6rnek verilerin normal da\u011f\u0131l\u0131ma sahip bir evrenden geldi\u011fini varsayabiliriz.<\/span><\/p>\n \u00d6rnek verileri standart bir normal da\u011f\u0131l\u0131mdan<\/a> rastgele de\u011ferler \u00fcreten rnorm()<\/strong> fonksiyonunu kullanarak olu\u015fturdu\u011fumuz i\u00e7in bu sonu\u00e7 \u015fa\u015f\u0131rt\u0131c\u0131 olmamal\u0131d\u0131r.<\/span><\/p>\n \u0130lgili:<\/strong> R’de dnorm, pnorm, qnorm ve rnorm i\u00e7in bir k\u0131lavuz<\/a><\/span><\/p>\n \u00d6rnek verilerin normal \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131n\u0131 g\u00f6rsel olarak do\u011frulamak i\u00e7in bir histogram da \u00fcretebiliriz:<\/span> <\/p>\n Da\u011f\u0131l\u0131m\u0131n olduk\u00e7a \u00e7an \u015feklinde oldu\u011funu ve normal da\u011f\u0131lm\u0131\u015f verilerde tipik olan bir tepe noktas\u0131n\u0131n da\u011f\u0131l\u0131m\u0131n merkezinde oldu\u011funu g\u00f6rebiliriz.<\/span><\/p>\n A\u015fa\u011f\u0131daki kod, de\u011ferlerin bir Poisson da\u011f\u0131l\u0131m\u0131ndan<\/a> rastgele olu\u015fturuldu\u011fu, \u00f6rnek boyutu 100 olan bir veri k\u00fcmesi \u00fczerinde Cramer-Von Mises testinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6sterir:<\/span><\/p>\n Testin p de\u011feri son derece d\u00fc\u015f\u00fck \u00e7\u0131k\u0131yor.<\/span><\/p>\n Bu de\u011fer 0,05’ten k\u00fc\u00e7\u00fck oldu\u011fundan \u00f6rneklem verilerinin normal da\u011f\u0131l\u0131ma sahip bir evrenden gelmedi\u011fini<\/em> s\u00f6yleyebilecek yeterli kan\u0131t\u0131m\u0131z vard\u0131r.<\/span><\/p>\n \u00d6rnek verileri bir Poisson da\u011f\u0131l\u0131m\u0131ndan rastgele de\u011ferler \u00fcreten rpois()<\/strong> fonksiyonunu kullanarak olu\u015fturdu\u011fumuz i\u00e7in bu sonu\u00e7 \u015fa\u015f\u0131rt\u0131c\u0131 olmamal\u0131d\u0131r.<\/span><\/p>\n \u0130lgili:<\/strong> R’de dpois, ppois, qpois ve rpois i\u00e7in bir k\u0131lavuz<\/a><\/span><\/p>\n \u00d6rnek verilerin normal \u015fekilde da\u011f\u0131lmad\u0131\u011f\u0131n\u0131 g\u00f6rsel olarak g\u00f6rmek i\u00e7in bir histogram da \u00fcretebiliriz:<\/span> <\/p>\n Da\u011f\u0131l\u0131m\u0131n sa\u011fa \u00e7arp\u0131k<\/a> oldu\u011funu ve normal da\u011f\u0131l\u0131mla ili\u015fkilendirilen tipik “\u00e7an \u015fekline” sahip olmad\u0131\u011f\u0131n\u0131 g\u00f6rebiliriz.<\/span><\/p>\n B\u00f6ylece histogram\u0131m\u0131z Cramer-Von Mises testinin sonu\u00e7lar\u0131yla e\u015fle\u015fiyor ve \u00f6rnek verilerimizin normal bir da\u011f\u0131l\u0131mdan gelmedi\u011fini do\u011fruluyor.<\/span><\/p>\n Belirli bir veri k\u00fcmesi normal \u015fekilde da\u011f\u0131lm\u0131yorsa<\/em> , onu daha normal hale getirmek i\u00e7in s\u0131kl\u0131kla a\u015fa\u011f\u0131daki d\u00f6n\u00fc\u015f\u00fcmlerden birini ger\u00e7ekle\u015ftirebiliriz:<\/span><\/p>\n 1. G\u00fcnl\u00fck d\u00f6n\u00fc\u015f\u00fcm\u00fc:<\/strong> yan\u0131t de\u011fi\u015fkenini y’den log(y)’<\/strong> ye d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/span><\/p>\n 2. Karek\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc:<\/strong> Yan\u0131t de\u011fi\u015fkenini y’den \u221ay’ye<\/strong> d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/span><\/p>\n 3. K\u00fcp k\u00f6k d\u00f6n\u00fc\u015f\u00fcm\u00fc:<\/strong> yan\u0131t de\u011fi\u015fkenini y’den y 1\/3’e<\/sup><\/strong> d\u00f6n\u00fc\u015ft\u00fcr\u00fcn.<\/span><\/p>\n Bu d\u00f6n\u00fc\u015f\u00fcmleri ger\u00e7ekle\u015ftirerek, yan\u0131t de\u011fi\u015fkeni genellikle normal da\u011f\u0131l\u0131ma yakla\u015f\u0131r.<\/span><\/p>\n Bu d\u00f6n\u00fc\u015f\u00fcmlerin pratikte nas\u0131l ger\u00e7ekle\u015ftirilece\u011fini g\u00f6rmek i\u00e7in bu e\u011fitime<\/a> bak\u0131n.<\/span><\/p>\n A\u015fa\u011f\u0131daki e\u011fitimlerde R’de di\u011fer normallik testlerinin nas\u0131l ger\u00e7ekle\u015ftirilece\u011fi a\u00e7\u0131klanmaktad\u0131r:<\/p>\n R’de Shapiro-Wilk testi nas\u0131l yap\u0131l\u0131r<\/a> Cramer-Von Mises testi, bir \u00f6rne\u011fin normal da\u011f\u0131l\u0131mdan gelip gelmedi\u011fini belirlemek i\u00e7in kullan\u0131l\u0131r. Bu test t\u00fcr\u00fc, belirli bir veri k\u00fcmesinin normal da\u011f\u0131l\u0131mdan gelip gelmedi\u011fini belirlemek i\u00e7in kullan\u0131\u015fl\u0131d\u0131r; bu, regresyon , ANOVA , t testleri ve di\u011ferleri de dahil olmak \u00fczere bir\u00e7ok istatistiksel testte yayg\u0131n olarak kullan\u0131lan bir varsay\u0131md\u0131r . ‘di\u011ferleri. R’deki goftest paketindeki cvm.test() fonksiyonunu kullanarak […]<\/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-3910","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\n \u00d6rnek 1: Normal veriler \u00fczerinde Cramer-Von Mises testi<\/strong><\/span><\/h2>\n
library<\/span> (goftest)<\/span>\n\n#make this example reproducible<\/span>\nset. seeds<\/span> (0)\n\n#create dataset of 100 random values generated from a normal distribution<\/span>\ndata <- rnorm(100)\n\n#perform Cramer-Von Mises test for normality<\/span>\ncvm. test<\/span> (data, ' pnorm<\/span> ')\n\n\tCramer-von Mises test of goodness-of-fit\n\tNull hypothesis: Normal distribution\n\tParameters assumed to be fixed\n\ndata:data\nomega2 = 0.078666, p-value = 0.7007\n<\/strong><\/pre>\n hist(data, col=' steelblue<\/span> ')<\/strong> <\/pre>\n![\"R'de](\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/shapiror1.png\")
<\/p>\n \u00d6rnek 2: Normal olmayan veriler \u00fczerinde Cramer-Von Mises testi<\/strong><\/span><\/h2>\n
library<\/span> (goftest)<\/span>\n\n#make this example reproducible<\/span>\nset. seeds<\/span> (0)\n\n#create dataset of 100 random values generated from a Poisson distribution<\/span>\ndata <- rpois(n=100, lambda=3)\n\n#perform Cramer-Von Mises test for normality<\/span>\ncvm. test<\/span> (data, ' pnorm<\/span> ')\n\n\tCramer-von Mises test of goodness-of-fit\n\tNull hypothesis: Normal distribution\n\tParameters assumed to be fixed\n\ndata:data\nomega2 = 27.96, p-value < 2.2e-16\n<\/strong><\/pre>\n hist(data, col=' coral2<\/span> ')<\/strong> <\/pre>\n![\"R'de](\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/shapiror2.png\")
<\/p>\n Normal olmayan verilerle ne yap\u0131lmal\u0131<\/strong><\/h2>\n
Ek kaynaklar<\/strong><\/span><\/h2>\n
R’de Anderson-Darling testi nas\u0131l yap\u0131l\u0131r?<\/a>
R’de Kolmogorov-Smirnov testi nas\u0131l yap\u0131l\u0131r?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"