{"id":460,"date":"2023-07-29T20:24:26","date_gmt":"2023-07-29T20:24:26","guid":{"rendered":"https:\/\/statorials.org\/tr\/rde-dnorm-pnorm-rnorm-qnorm\/"},"modified":"2023-07-29T20:24:26","modified_gmt":"2023-07-29T20:24:26","slug":"rde-dnorm-pnorm-rnorm-qnorm","status":"publish","type":"post","link":"https:\/\/statorials.org\/tr\/rde-dnorm-pnorm-rnorm-qnorm\/","title":{"rendered":"R'de dnorm, pnorm, qnorm ve rnorm k\u0131lavuzu"},"content":{"rendered":"

<\/p>\n

\n

Normal da\u011f\u0131l\u0131m istatistikte en s\u0131k kullan\u0131lan da\u011f\u0131l\u0131md\u0131r. Bu e\u011fitimde dnorm<\/strong> , pnorm<\/strong> , rnorm<\/strong> ve qnorm<\/strong> i\u015flevlerini kullanarak R’de normal da\u011f\u0131l\u0131m\u0131n nas\u0131l kullan\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r.<\/span><\/p>\n

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

Dnorm<\/strong> i\u015flevi, baz\u0131 rastgele de\u011fi\u015fken x<\/em> , pop\u00fclasyon ortalamas\u0131 \u03bc<\/em> ve pop\u00fclasyon standart sapmas\u0131 \u03c3<\/em> verildi\u011finde normal da\u011f\u0131l\u0131m\u0131n olas\u0131l\u0131k yo\u011funluk fonksiyonunun (pdf) de\u011ferini d\u00f6nd\u00fcr\u00fcr. Dnorm’u kullanman\u0131n s\u00f6zdizimi a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n

dnorm(x, ortalama, sd)<\/span><\/strong><\/p>\n

A\u015fa\u011f\u0131daki kod, dnorm’un<\/strong> uygulamal\u0131 baz\u0131 \u00f6rneklerini g\u00f6stermektedir:<\/span><\/p>\n

 #find the value of the standard normal distribution pdf at x=0<\/span>\ndnorm(x=0, mean=0, sd=1)\n#[1]0.3989423\n\n#by default, R uses mean=0 and sd=1<\/span>\ndnorm(x=0)\n#[1]0.3989423\n\n#find the value of the normal distribution pdf at x=10 with mean=20 and sd=5\ndnorm(x=10, mean=20, sd=5)<\/span>\n#[1]0.01079819<\/span><\/span>\n<\/strong><\/pre>\n
 Tipik olarak normal da\u011f\u0131l\u0131m kullanarak olas\u0131l\u0131k hakk\u0131ndaki sorular\u0131 \u00e7\u00f6zmeye \u00e7al\u0131\u015f\u0131rken genellikle dnorm<\/strong> yerine pnorm<\/strong> kullan\u0131rs\u0131n\u0131z. Ancak dnorm’un<\/strong> yararl\u0131 bir uygulamas\u0131 R’de normal 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<\/span>\ny <- dnorm(x)\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
 normal<\/span><\/strong><\/h2>\n
 Pnorm<\/strong> i\u015flevi, baz\u0131 rastgele de\u011fi\u015fkenler q<\/em> , bir pop\u00fclasyon ortalamas\u0131 \u03bc<\/em> ve bir pop\u00fclasyon standart sapmas\u0131 \u03c3<\/em> verildi\u011finde normal da\u011f\u0131l\u0131m\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
 pnorm(q, ortalama, sd)<\/span><\/strong><\/p>\n
 Basit bir ifadeyle pnorm<\/strong> , normal da\u011f\u0131l\u0131mda belirli bir x<\/em> de\u011ferinin solundaki alan\u0131 d\u00f6nd\u00fcr\u00fcr. Belirli bir q<\/em> de\u011ferinin sa\u011f\u0131ndaki alanla ilgileniyorsan\u0131z, basit\u00e7e less.tail = FALSE<\/strong> arg\u00fcman\u0131n\u0131 ekleyebilirsiniz.<\/span><\/p>\n
 pnorm(q, ortalama, sd, alt.kuyruk = YANLI\u015e)<\/span><\/strong><\/p>\n
 A\u015fa\u011f\u0131daki \u00f6rnekler pnorm kullanarak baz\u0131 olas\u0131l\u0131k sorular\u0131n\u0131n nas\u0131l \u00e7\u00f6z\u00fclece\u011fini g\u00f6stermektedir.<\/span><\/p>\n
 \u00d6rnek 1:<\/strong> Belirli bir okuldaki erkeklerin boyunun ortalama \u03bc<\/span> = 70 in\u00e7 ve<\/span><\/span><\/span><\/span><\/span> standart sapman\u0131n \u03c3 = 2 in\u00e7 olacak \u015fekilde normal \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayal\u0131m.<\/span><\/span><\/span><\/span><\/span><\/em> Bu okuldaki erkeklerin yakla\u015f\u0131k y\u00fczde ka\u00e7\u0131 74 in\u00e7ten uzun?<\/span><\/span><\/span><\/span><\/span><\/em><\/span><\/p>\n
 #find percentage of males that are taller than 74 inches in a population with<\/span>\n#mean = 70 and sd = 2<\/span>\npnorm(74, mean=70, sd=2, lower.tail=FALSE)\n\n# [1]0.02275013<\/span><\/span><\/strong><\/pre>\n
 Bu okulda erkeklerin %2275’inin boyu 74 in\u00e7ten fazlad\u0131r.<\/span><\/p>\n
 \u00d6rnek 2:<\/strong> Belirli bir su samuru t\u00fcr\u00fcn\u00fcn a\u011f\u0131rl\u0131\u011f\u0131n\u0131n \u03bc<\/span> = 30 lb ortalamas\u0131 ve<\/span><\/span><\/span><\/span><\/span> \u03c3 = 5 lb<\/span><\/span><\/span><\/span><\/span> standart sapmas\u0131 ile normal \u015fekilde da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayal\u0131m. Bu su samuru t\u00fcr\u00fcn\u00fcn yakla\u015f\u0131k y\u00fczde ka\u00e7\u0131 22 pounddan daha hafiftir?<\/span><\/span><\/span><\/span><\/span><\/em><\/span><\/p>\n
 #find percentage of otters that weight less than 22 lbs in a population with<\/span>\n#mean = 30 and sd = 5<\/span>\npnorm(22, mean=30, sd=5)\n\n# [1]0.05479929<\/span><\/span><\/strong><\/pre>\n
 Bu su samuru t\u00fcr\u00fcn\u00fcn yakla\u015f\u0131k %5,4799’unun a\u011f\u0131rl\u0131\u011f\u0131 22 pound’dan azd\u0131r.<\/span><\/p>\n
 \u00d6rnek 3:<\/strong> Belirli bir b\u00f6lgedeki bitkilerin boyunun ortalama \u03bc<\/span> = 13 in\u00e7 ve<\/span><\/span><\/span><\/span><\/span> standart sapman\u0131n \u03c3 = 2 in\u00e7 olacak \u015fekilde normal da\u011f\u0131ld\u0131\u011f\u0131n\u0131 varsayal\u0131m. Bu b\u00f6lgedeki bitkilerin yakla\u015f\u0131k y\u00fczde ka\u00e7\u0131 10 ila 14 in\u00e7 boyundad\u0131r?<\/span><\/span><\/span><\/span><\/span><\/em><\/span><\/p>\n
 #find percentage of plants that are less than 14 inches tall, then subtract the\n#percentage of plants that are less than 10 inches tall, based on a population\n#with mean = 13 and sd = 2<\/span>\npnorm(14, mean=13, sd=2) - pnorm(10, mean=13, sd=2)\n\n# [1]0.6246553<\/span><\/span><\/strong><\/pre>\n
 Bu b\u00f6lgedeki bitkilerin yakla\u015f\u0131k %62,4655’inin boyu 10 ila 14 in\u00e7 aras\u0131ndad\u0131r.<\/span><\/p>\n
 normal<\/span><\/strong><\/h2>\n
 Qnorm<\/strong> i\u015flevi, baz\u0131 rastgele de\u011fi\u015fken p<\/em> , pop\u00fclasyon ortalamas\u0131 \u03bc<\/em> ve pop\u00fclasyon standart sapmas\u0131 \u03c3<\/em> verildi\u011finde normal da\u011f\u0131l\u0131m\u0131n ters k\u00fcm\u00fclatif yo\u011funluk fonksiyonunun (cdf) de\u011ferini d\u00f6nd\u00fcr\u00fcr. Qnorm’u kullanman\u0131n s\u00f6zdizimi a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n
 qnorm (p, ortalama, sd)<\/span><\/strong><\/p>\n
 Basit bir ifadeyle, normal da\u011f\u0131l\u0131m\u0131n p’inci<\/sup> y\u00fczdelik k\u0131sm\u0131n\u0131n Z puan\u0131n\u0131n ne oldu\u011funu bulmak i\u00e7in qnorm’u<\/strong> kullanabilirsiniz.<\/span><\/p>\n
 A\u015fa\u011f\u0131daki kod, qnorm’un<\/strong> baz\u0131 uygulama \u00f6rneklerini g\u00f6stermektedir:<\/span><\/p>\n
 #find the Z-score of the 99th quantile of the standard normal distribution<\/span> \nqnorm(.99, mean=0, sd=1)\n#[1]2.326348\n\n#by default, R uses mean=0 and sd=1\nqnorm(.99)<\/span>\n#[1]2.326348\n\n#find the Z-score of the 95th quantile of the standard normal distribution<\/span>\nqnorm(.95)\n#[1]1.644854\n\n#find the Z-score of the 10th quantile of the standard normal distribution<\/span>\nqnorm(.10)\n#[1]-1.281552<\/span>\n<\/span><\/strong><\/pre>\n
 normal<\/span><\/strong><\/h2>\n
 rnorm<\/strong> i\u015flevi, bir vekt\u00f6r uzunlu\u011fu n<\/em> , bir pop\u00fclasyon ortalamas\u0131 \u03bc<\/em> ve bir pop\u00fclasyon standart sapmas\u0131 \u03c3<\/em> verilen normal da\u011f\u0131lm\u0131\u015f rastgele de\u011fi\u015fkenlerden olu\u015fan bir vekt\u00f6r \u00fcretir. Rnorm’u kullanman\u0131n s\u00f6zdizimi a\u015fa\u011f\u0131daki gibidir:<\/span><\/p>\n
 rnorm(n, ortalama, sd)<\/span><\/strong><\/p>\n
 A\u015fa\u011f\u0131daki kod, rnorm’un<\/strong> eylem halindeki baz\u0131 \u00f6rneklerini g\u00f6sterir:<\/span><\/p>\n
 #generate a vector of 5 normally distributed random variables with mean=10 and sd=2<\/span>\nfive <- rnorm(5, mean = 10, sd = 2)\nfive\n# [1] 10.658117 8.613495 10.561760 11.123492 10.802768\n\n#generate a vector of 1000 normally distributed random variables with mean=50 and sd=5\n<\/span>narrowDistribution <- rnorm(1000, mean = 50, sd = 15)\n\n<\/span>#generate a vector of 1000 normally distributed random variables with mean=50 and sd=25<\/span>\nwideDistribution <- rnorm(1000, mean = 50, sd = 25)\n\n<\/span>#generate two histograms to view these two distributions side by side, specify\n#50 bars in histogram and x-axis limits of -50 to 150\npar(mfrow=c(1, 2)) #one row, two columns<\/span>\nhist(narrowDistribution, breaks=50, xlim=c(-50, 150))<\/span>\nhist(wideDistribution, breaks=50, xlim=c(-50, 150))<\/span>\n<\/span><\/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 \u00e7ok daha geni\u015f oldu\u011funa dikkat edin. Nitekim geni\u015f da\u011f\u0131l\u0131mda standart sapman\u0131n 25 oldu\u011funu, dar da\u011f\u0131l\u0131mda ise sadece 15 oldu\u011funu belirtmi\u015ftik. Ayr\u0131ca her iki histogram\u0131n da 50 ortalamas\u0131n\u0131n etraf\u0131nda ortaland\u0131\u011f\u0131n\u0131 unutmay\u0131n.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
Normal da\u011f\u0131l\u0131m istatistikte en s\u0131k kullan\u0131lan da\u011f\u0131l\u0131md\u0131r. Bu e\u011fitimde dnorm , pnorm , rnorm ve qnorm i\u015flevlerini kullanarak R’de normal da\u011f\u0131l\u0131m\u0131n nas\u0131l kullan\u0131laca\u011f\u0131 a\u00e7\u0131klanmaktad\u0131r. devasa Dnorm i\u015flevi, baz\u0131 rastgele de\u011fi\u015fken x , pop\u00fclasyon ortalamas\u0131 \u03bc ve pop\u00fclasyon standart sapmas\u0131 \u03c3 verildi\u011finde normal da\u011f\u0131l\u0131m\u0131n olas\u0131l\u0131k yo\u011funluk fonksiyonunun (pdf) de\u011ferini d\u00f6nd\u00fcr\u00fcr. Dnorm’u kullanman\u0131n s\u00f6zdizimi a\u015fa\u011f\u0131daki gibidir: dnorm(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-460","post","type-post","status-publish","format-standard","hentry","category-rehber"],"yoast_head":"\nR - Statorials'da dnorm, pnorm, qnorm ve rnorm k\u0131lavuzu<\/title>\n<meta name=\"description\" content=\"R'deki dnorm, pnorm, rnorm ve qnorm i\u015flevlerine ili\u015fkin basit bir k\u0131lavuz.\" \/>\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\/rde-dnorm-pnorm-rnorm-qnorm\/\" \/>\n<meta property=\"og:locale\" content=\"tr_TR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"R - Statorials'da dnorm, pnorm, qnorm ve rnorm k\u0131lavuzu\" \/>\n<meta property=\"og:description\" content=\"R'deki dnorm, pnorm, rnorm ve qnorm i\u015flevlerine ili\u015fkin basit bir k\u0131lavuz.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/tr\/rde-dnorm-pnorm-rnorm-qnorm\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T20:24:26+00:00\" \/>\n<meta name=\"author\" content=\"Dr.benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Yazan:\" \/>\n\t<meta name=\"twitter:data1\" content=\"Dr.benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Tahmini okuma s\u00fcresi\" \/>\n\t<meta name=\"twitter:data2\" content=\"5 dakika\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/tr\/rde-dnorm-pnorm-rnorm-qnorm\/\",\"url\":\"https:\/\/statorials.org\/tr\/rde-dnorm-pnorm-rnorm-qnorm\/\",\"name\":\"R - Statorials'da dnorm, pnorm, qnorm ve rnorm k\u0131lavuzu\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/tr\/#website\"},\"datePublished\":\"2023-07-29T20:24:26+00:00\",\"dateModified\":\"2023-07-29T20:24:26+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\"},\"description\":\"R'deki dnorm, pnorm, rnorm ve qnorm i\u015flevlerine ili\u015fkin basit bir k\u0131lavuz.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/tr\/rde-dnorm-pnorm-rnorm-qnorm\/#breadcrumb\"},\"inLanguage\":\"tr\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/tr\/rde-dnorm-pnorm-rnorm-qnorm\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/tr\/rde-dnorm-pnorm-rnorm-qnorm\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Ev\",\"item\":\"https:\/\/statorials.org\/tr\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"R'de dnorm, pnorm, qnorm ve rnorm k\u0131lavuzu\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/tr\/#website\",\"url\":\"https:\/\/statorials.org\/tr\/\",\"name\":\"Statorials\",\"description\":\"\u0130statistik okuryazarl\u0131\u011f\u0131 rehberiniz!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/tr\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"tr\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/365dc158a39a7c8ae256355451e3de48\",\"name\":\"Dr.benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"tr\",\"@id\":\"https:\/\/statorials.org\/tr\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"https:\/\/statorials.org\/tr\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Dr.benjamin anderson\"},\"description\":\"Merhaba, ben Benjamin, emekli bir istatistik profes\u00f6r\u00fc ve Statorials \u00f6\u011fretmenine d\u00f6n\u00fc\u015ft\u00fcm. \u0130statistik alan\u0131ndaki kapsaml\u0131 deneyimim ve uzmanl\u0131\u011f\u0131mla, \u00f6\u011frencilerimi Statorials arac\u0131l\u0131\u011f\u0131yla g\u00fc\u00e7lendirmek i\u00e7in bilgilerimi payla\u015fmaya can at\u0131yorum. 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