{"id":494,"date":"2023-07-29T17:37:17","date_gmt":"2023-07-29T17:37:17","guid":{"rendered":"https:\/\/statorials.org\/tr\/r-dt-qt-pt-rtde-ogrenci-t-dagilimiyla-calisma\/"},"modified":"2023-07-29T17:37:17","modified_gmt":"2023-07-29T17:37:17","slug":"r-dt-qt-pt-rtde-ogrenci-t-dagilimiyla-calisma","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/r-dt-qt-pt-rtde-ogrenci-t-dagilimiyla-calisma\/","title":{"rendered":"R'de dt, qt, pt ve rt i\u00e7in k\u0131lavuz"},"content":{"rendered":"

\u00d6\u011frenci t da\u011f\u0131l\u0131m\u0131<\/strong> istatistikte en s\u0131k kullan\u0131lan da\u011f\u0131l\u0131mlardan biridir. Bu e\u011fitimde R’de dt()<\/strong> , qt()<\/strong> , pt()<\/strong> ve rt()<\/strong> i\u015flevlerini kullanarak \u00d6\u011frenci t da\u011f\u0131t\u0131m\u0131yla nas\u0131l \u00e7al\u0131\u015f\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n

dt<\/span><\/strong><\/h2>\n

dt<\/b> i\u015flevi, belirli bir rastgele de\u011fi\u015fken x<\/em> ve df<\/em> serbestlik derecesi verildi\u011finde \u00d6\u011frencinin t da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131k yo\u011funluk fonksiyonunun (pdf) de\u011ferini d\u00f6nd\u00fcr\u00fcr. dt’yi kullanman\u0131n s\u00f6zdizimi a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n

dt(x, df)<\/span><\/strong><\/p>\n

A\u015fa\u011f\u0131daki kod, dt’nin<\/b> eylem halindeki baz\u0131 \u00f6rneklerini g\u00f6stermektedir:<\/span><\/p>\n

 #find the value of the Student t distribution pdf at x = 0 with 20 degrees of freedom<\/span>\ndt(x = 0, df = 20)\n\n#[1] 0.3939886\n\n#by default, R assumes the first argument is x<\/em> and the second argument is df<\/em><\/span>\ndt(0, 20)\n\n#[1] 0.3939886\n#find the value of the Student t distribution pdf at x = 1 with 30 degrees of freedom\ndt(1, 30)\n<\/span>\n#[1] 0.2379933\n<\/span><\/span><\/strong><\/pre>\n
 Tipik olarak, \u00d6\u011frencinin t da\u011f\u0131l\u0131m\u0131n\u0131 kullanarak olas\u0131l\u0131k hakk\u0131ndaki sorular\u0131 \u00e7\u00f6zmeye \u00e7al\u0131\u015f\u0131rken genellikle dt<\/strong> yerine pt<\/b> kullan\u0131rs\u0131n\u0131z. Ancak dt’nin<\/strong> yararl\u0131 bir uygulamas\u0131, R’de bir \u00d6\u011frenci t da\u011f\u0131l\u0131m grafi\u011fi olu\u015fturmakt\u0131r. A\u015fa\u011f\u0131daki kod bunun nas\u0131l yap\u0131laca\u011f\u0131n\u0131 g\u00f6stermektedir:<\/span><\/p>\n
 #Create a sequence of 100 equally spaced numbers between -4 and 4<\/span>\nx <- seq(-4, 4, length=100)\n\n#create a vector of values that shows the height of the probability distribution<\/span>\n#for each value in x, using 20 degrees of freedom<\/span>\ny <- dt(x = x, df = 20)\n\n#plot x and y as a scatterplot with connected lines (type = \"l\") and add<\/span>\n#an x-axis with custom labels<\/span>\nplot(x,y, type = \"l\", lwd = 2, axes = FALSE, xlab = \"\", ylab = \"\")\naxis(1, at = -3:3, labels = c(\"-3s\", \"-2s\", \"-1s\", \"mean\", \"1s\", \"2s\", \"3s\"))<\/strong><\/pre>\n
 Bu, a\u015fa\u011f\u0131daki grafi\u011fi olu\u015fturur:<\/span><\/p>\n
 puan<\/span><\/strong><\/h2>\n
 pt<\/b> i\u015flevi, belirli bir rastgele de\u011fi\u015fken x<\/em> ve serbestlik derecesi df<\/em> verildi\u011finde \u00d6\u011frencinin t da\u011f\u0131l\u0131m\u0131n\u0131n k\u00fcm\u00fclatif yo\u011funluk fonksiyonunun (cdf) de\u011ferini d\u00f6nd\u00fcr\u00fcr. pnorm’u kullanman\u0131n s\u00f6zdizimi a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n
 pt(x, df)<\/span><\/strong><\/p>\n
 Basit bir ifadeyle pt<\/b> , \u00d6\u011frenci t da\u011f\u0131l\u0131m\u0131nda belirli bir x<\/em> de\u011ferinin solundaki alan\u0131 d\u00f6nd\u00fcr\u00fcr. Belirli bir x<\/em> de\u011ferinin sa\u011f\u0131ndaki alanla ilgileniyorsan\u0131z, basit\u00e7e less.tail = FALSE<\/strong> arg\u00fcman\u0131n\u0131 ekleyebilirsiniz.<\/span><\/p>\n
 pt(x, df, alt.kuyruk = YANLI\u015e)<\/span><\/strong><\/p>\n
 A\u015fa\u011f\u0131daki \u00f6rneklerde baz\u0131 olas\u0131l\u0131k sorular\u0131n\u0131n pt kullan\u0131larak nas\u0131l \u00e7\u00f6z\u00fclece\u011fi g\u00f6sterilmektedir.<\/span><\/p>\n
 \u00d6rnek 1:<\/strong> -0,785 de\u011ferine ve 14 serbestlik derecesine sahip bir t istatisti\u011finin solundaki<\/strong> alan\u0131 bulun.<\/em><\/span><\/p>\n
 pt(-0.785, 14)\n\n#[1] 0.2227675\n<\/span><\/span><\/strong><\/pre>\n
 \u00d6rnek 2:<\/strong> -0,785 de\u011ferine ve 14 serbestlik derecesine sahip bir t istatisti\u011finin sa\u011f\u0131ndaki<\/strong> alan\u0131 bulun.<\/em><\/span><\/p>\n
 #the following approaches produce equivalent results\n\n#1 - area to the left<\/span>\n1 - pt(-0.785, 14)\n\n#[1] 0.7772325\n\n#area to the right<\/span>\npt(-0.785, 14, lower.tail = FALSE)\n\n#[1] 0.7772325 \n<\/span><\/span><\/span><\/strong><\/pre>\n
 \u00d6rnek 3:<\/strong> -0,785’in solunda veya 0,785’in sa\u011f\u0131nda yer alan 14 serbestlik derecesine sahip \u00d6\u011frenci t da\u011f\u0131l\u0131m\u0131ndaki toplam alan\u0131 bulun.<\/em><\/span><\/p>\n
 pt (-0.785, 14)<\/span><\/span> + pt (0.785, 14, lower.tail = FALSE)<\/span><\/span>\n\n#[1] 0.4455351<\/strong><\/pre>\n
 qt<\/span><\/strong><\/h2>\n
 qt<\/b> fonksiyonu, belirli bir rastgele de\u011fi\u015fken x<\/em> ve serbestlik derecesi df verildi\u011finde, \u00d6\u011frencinin t da\u011f\u0131l\u0131m\u0131n\u0131n ters k\u00fcm\u00fclatif yo\u011funluk fonksiyonunun (cdf) de\u011ferini d\u00f6nd\u00fcr\u00fcr.<\/em> Qt kullanman\u0131n s\u00f6zdizimi a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n
 qt(x, df)<\/span><\/strong><\/p>\n
 Basit bir ifadeyle, \u00d6\u011frencinin t da\u011f\u0131l\u0131m\u0131n\u0131n p’inci<\/sup> y\u00fczdelik b\u00f6l\u00fcm\u00fcn\u00fcn t puan\u0131n\u0131n ne oldu\u011funu bulmak i\u00e7in qt’yi<\/strong> kullanabilirsiniz.<\/span><\/p>\n
 A\u015fa\u011f\u0131daki kod, qt’nin<\/b> eylem halindeki baz\u0131 \u00f6rneklerini g\u00f6sterir:<\/span><\/p>\n
 #find the t-score of the 99th quantile of the Student t distribution with df = 20\n<\/span>qt(.99, df = 20)\n\n#[1][1]2.527977\n\n#find the t-score of the 95th quantile of the Student t distribution with df = 20<\/span>\nqt(.95, df = 20)\n\n#[1]1.724718\n\n#find the t-score of the 90th quantile of the Student t distribution with df = 20<\/span>\nqt(.9, df = 20)\n\n#[1]1.325341<\/span>\n<\/span><\/strong><\/pre>\n
 Qt<\/strong> taraf\u0131ndan bulunan kritik de\u011ferlerin, t da\u011f\u0131l\u0131m tablosunda bulunan kritik de\u011ferlerin yan\u0131 s\u0131ra ters t da\u011f\u0131l\u0131m\u0131 hesaplay\u0131c\u0131s\u0131 taraf\u0131ndan bulunabilecek kritik de\u011ferlere de kar\u015f\u0131l\u0131k gelece\u011fini unutmay\u0131n.<\/span><\/p>\n
 rt<\/span><\/strong><\/h2>\n
 rt<\/b> fonksiyonu, n<\/em> vekt\u00f6r uzunlu\u011fu ve df<\/em> serbestlik derecesi verildi\u011finde \u00d6\u011frenci t da\u011f\u0131l\u0131m\u0131n\u0131 takip eden rastgele de\u011fi\u015fkenlerden olu\u015fan bir vekt\u00f6r \u00fcretir. rt kullanman\u0131n s\u00f6zdizimi a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n
 rt(n, df)<\/span><\/strong><\/p>\n
 A\u015fa\u011f\u0131daki kod, rt’nin<\/b> eylem halindeki baz\u0131 \u00f6rneklerini g\u00f6sterir:<\/span><\/p>\n
 #generate a vector of 5 random variables that follows a Student t distribution\n#with df = 20<\/span>\nrt(n = 5, df = 20)\n\n#[1] -1.7422445 0.9560782 0.6635823 1.2122289 -0.7052825\n\n#generate a vector of 1000 random variables that follows a Student t distribution\n#with df = 40\nnarrowDistribution <- rt(1000, 40)\n\n#generate a vector of 1000 random variables that follows a Student t distribution\n#with df = 5\n<\/span>wideDistribution <- rt(1000, 5)\n\n#generate two histograms to view these two distributions side by side, and specify\n#50 bars in histogram,<\/span>\npar(mfrow=c(1, 2)) #one row, two columns\nhist(narrowDistribution, breaks=50, xlim = c(-6, 4)) \nhist(wideDistribution, breaks=50, xlim = c(-6, 4))\n<\/span><\/span><\/strong><\/pre>\n
 Bu, a\u015fa\u011f\u0131daki histogramlar\u0131 olu\u015fturur:<\/span><\/p>\n
 Geni\u015f da\u011f\u0131l\u0131m\u0131n dar da\u011f\u0131l\u0131mdan nas\u0131l daha geni\u015f oldu\u011funa dikkat edin. Nitekim geni\u015f da\u011f\u0131l\u0131mda serbestlik derecesinin 5, dar da\u011f\u0131l\u0131mda ise 40 oldu\u011funu belirtmi\u015ftik. Serbestlik derecesi ne kadar az olursa, \u00d6\u011frencinin t da\u011f\u0131l\u0131m\u0131 o kadar geni\u015f olacakt\u0131r.<\/span><\/p>\n
 Daha fazla okuma:
 R’de dnorm, pnorm, qnorm ve rnorm k\u0131lavuzu
 R’de dbinom, pbinom, qbinom ve rbinom i\u00e7in bir rehber
<\/strong><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
\u00d6\u011frenci t da\u011f\u0131l\u0131m\u0131 istatistikte en s\u0131k kullan\u0131lan da\u011f\u0131l\u0131mlardan biridir. Bu e\u011fitimde R’de dt() , qt() , pt() ve rt() i\u015flevlerini kullanarak \u00d6\u011frenci t da\u011f\u0131t\u0131m\u0131yla nas\u0131l \u00e7al\u0131\u015f\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. dt dt i\u015flevi, belirli bir rastgele de\u011fi\u015fken x ve df serbestlik derecesi verildi\u011finde \u00d6\u011frencinin t da\u011f\u0131l\u0131m\u0131n\u0131n olas\u0131l\u0131k yo\u011funluk fonksiyonunun (pdf) de\u011ferini d\u00f6nd\u00fcr\u00fcr. dt’yi kullanman\u0131n s\u00f6zdizimi a\u015fa\u011f\u0131daki gibidir: dt(x, […]<\/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-494","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nR - Statorials'ta dt, qt, pt ve rt i\u00e7in bir k\u0131lavuz<\/title>\n<meta name=\"description\" content=\"Bu e\u011fitimde dt(), qt(), pt() ve rt() i\u015flevlerini kullanarak R'de \u00d6\u011frenci t da\u011f\u0131t\u0131m\u0131yla nas\u0131l \u00e7al\u0131\u015f\u0131laca\u011f\u0131na dair basit bir a\u00e7\u0131klama sa\u011flanmaktad\u0131r.\" \/>\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\/r-dt-qt-pt-rtde-ogrenci-t-dagilimiyla-calisma\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - 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