{"id":494,"date":"2023-07-29T17:37:17","date_gmt":"2023-07-29T17:37:17","guid":{"rendered":"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/"},"modified":"2023-07-29T17:37:17","modified_gmt":"2023-07-29T17:37:17","slug":"bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/","title":{"rendered":"Panduan untuk dt, qt, pt, & rt di r"},"content":{"rendered":"

Distribusi t Student<\/strong> adalah salah satu distribusi yang paling umum digunakan dalam statistik. Tutorial ini menjelaskan cara bekerja dengan distribusi Student t di R menggunakan fungsi dt()<\/strong> , qt()<\/strong> , pt()<\/strong> dan rt()<\/strong> .<\/span><\/p>\n

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

Fungsi dt<\/b> mengembalikan nilai fungsi kepadatan probabilitas (pdf) dari distribusi t Student dengan variabel acak tertentu x<\/em> dan derajat kebebasan df<\/em> . Sintaks penggunaan dt adalah sebagai berikut:<\/span><\/p>\n

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

Kode berikut menunjukkan beberapa contoh aksi dt<\/b> :<\/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
 Biasanya, ketika mencoba menyelesaikan pertanyaan tentang probabilitas menggunakan distribusi t Student, Anda akan sering menggunakan pt<\/b> daripada dt<\/strong> . Namun, penerapan dt<\/strong> yang berguna adalah membuat plot distribusi Student t di R. Kode berikut mengilustrasikan cara melakukannya:<\/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
 Ini menghasilkan plot berikut:<\/span><\/p>\n
 pt<\/span><\/strong><\/h2>\n
 Fungsi pt<\/b> mengembalikan nilai fungsi kepadatan kumulatif (cdf) dari distribusi t Student dengan variabel acak tertentu x<\/em> dan derajat kebebasan df<\/em> . Sintaks penggunaan pnorm adalah sebagai berikut:<\/span><\/p>\n
 pt(x, df)<\/span><\/strong><\/p>\n
 Secara sederhana, pt<\/b> mengembalikan luas di sebelah kiri nilai x<\/em> tertentu dalam distribusi t Student. Jika Anda tertarik pada luas di sebelah kanan nilai x<\/em> tertentu, Anda cukup menambahkan argumen lower.tail = FALSE<\/strong><\/span><\/p>\n
 pt(x, df, bawah.ekor = SALAH)<\/span><\/strong><\/p>\n
 Contoh berikut menggambarkan bagaimana menyelesaikan beberapa pertanyaan probabilitas menggunakan pt.<\/span><\/p>\n
 Contoh 1:<\/strong> Carilah luas daerah di sebelah kiri<\/strong> t-statistik yang bernilai -0,785 dan 14 derajat kebebasan.<\/em><\/span><\/p>\n
 pt(-0.785, 14)\n\n#[1] 0.2227675\n<\/span><\/span><\/strong><\/pre>\n
 Contoh 2:<\/strong> Carilah luas daerah di sebelah kanan<\/strong> t-statistik yang bernilai -0,785 dan 14 derajat kebebasan.<\/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
 Contoh 3:<\/strong> Carilah luas total pada distribusi t Student dengan 14 derajat kebebasan yang terletak di sebelah kiri -0,785 atau di sebelah kanan 0,785.<\/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
 Fungsi qt<\/b> mengembalikan nilai fungsi kepadatan kumulatif terbalik (cdf) dari distribusi t Student dengan variabel acak tertentu x<\/em> dan derajat kebebasan df.<\/em> Sintaks penggunaan qt adalah sebagai berikut:<\/span><\/p>\n
 qt(x, df)<\/span><\/strong><\/p>\n
 Secara sederhana, Anda dapat menggunakan qt<\/strong> untuk mencari tahu berapa skor t kuantil pth<\/sup> dari distribusi t Student.<\/span><\/p>\n
 Kode berikut menunjukkan beberapa contoh tindakan qt<\/b> :<\/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
 Perhatikan bahwa nilai kritis yang ditemukan oleh qt<\/strong> akan sesuai dengan nilai kritis yang ditemukan pada tabel distribusi t serta nilai kritis yang dapat ditemukan dengan kalkulator distribusi t terbalik.<\/span><\/p>\n
 rt<\/span><\/strong><\/h2>\n
 Fungsi rt<\/b> menghasilkan vektor variabel acak yang mengikuti distribusi t Student dengan panjang vektor n<\/em> dan derajat kebebasan df<\/em> . Sintaks penggunaan rt adalah sebagai berikut:<\/span><\/p>\n
 rt(n, df)<\/span><\/strong><\/p>\n
 Kode berikut menunjukkan beberapa contoh tindakan rt<\/b> :<\/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
 Ini menghasilkan histogram berikut:<\/span><\/p>\n
 Perhatikan bagaimana sebaran yang luas lebih luas daripada sebaran yang sempit. Memang benar, kami menetapkan bahwa derajat kebebasan dalam distribusi luas adalah 5 dibandingkan dengan 40 dalam distribusi sempit. Semakin sedikit derajat kebebasannya, maka distribusi t Student akan semakin luas.<\/span><\/p>\n
 Bacaan lebih lanjut:
 Panduan untuk dnorm, pnorm, qnorm dan rnorm di R
 Panduan untuk dbinom, pbinom, qbinom dan rbinom di R
<\/strong><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
Distribusi t Student adalah salah satu distribusi yang paling umum digunakan dalam statistik. Tutorial ini menjelaskan cara bekerja dengan distribusi Student t di R menggunakan fungsi dt() , qt() , pt() dan rt() . dt Fungsi dt mengembalikan nilai fungsi kepadatan probabilitas (pdf) dari distribusi t Student dengan variabel acak tertentu x dan derajat kebebasan […]<\/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":[],"yoast_head":"\nPanduan untuk dt, qt, pt dan rt di R - Statorials<\/title>\n<meta name=\"description\" content=\"Tutorial ini memberikan penjelasan sederhana tentang cara bekerja dengan distribusi Student t di R menggunakan fungsi dt(), qt(), pt(), dan rt().\" \/>\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\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Panduan untuk dt, qt, pt dan rt di R - Statorials\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini memberikan penjelasan sederhana tentang cara bekerja dengan distribusi Student t di R menggunakan fungsi dt(), qt(), pt(), dan rt().\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-29T17:37:17+00:00\" \/>\n<meta name=\"author\" content=\"Benjamin anderson\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Ditulis oleh\" \/>\n\t<meta name=\"twitter:data1\" content=\"Benjamin anderson\" \/>\n\t<meta name=\"twitter:label2\" content=\"Estimasi waktu membaca\" \/>\n\t<meta name=\"twitter:data2\" content=\"4 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/\",\"url\":\"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/\",\"name\":\"Panduan untuk dt, qt, pt dan rt di R - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-29T17:37:17+00:00\",\"dateModified\":\"2023-07-29T17:37:17+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini memberikan penjelasan sederhana tentang cara bekerja dengan distribusi Student t di R menggunakan fungsi dt(), qt(), pt(), dan rt().\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Panduan untuk dt, qt, pt, & rt di r\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/statorials.org\/id\/#website\",\"url\":\"https:\/\/statorials.org\/id\/\",\"name\":\"Statorials\",\"description\":\"Panduan anda untuk kompetensi statistik!\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/statorials.org\/id\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"id\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\",\"name\":\"Benjamin anderson\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"id\",\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/\",\"url\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"contentUrl\":\"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg\",\"caption\":\"Benjamin anderson\"},\"description\":\"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya\",\"sameAs\":[\"http:\/\/statorials.org\/id\"]}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Panduan untuk dt, qt, pt dan rt di R - Statorials","description":"Tutorial ini memberikan penjelasan sederhana tentang cara bekerja dengan distribusi Student t di R menggunakan fungsi dt(), qt(), pt(), dan rt().","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/","og_locale":"id_ID","og_type":"article","og_title":"Panduan untuk dt, qt, pt dan rt di R - Statorials","og_description":"Tutorial ini memberikan penjelasan sederhana tentang cara bekerja dengan distribusi Student t di R menggunakan fungsi dt(), qt(), pt(), dan rt().","og_url":"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/","og_site_name":"Statorials","article_published_time":"2023-07-29T17:37:17+00:00","author":"Benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Benjamin anderson","Estimasi waktu membaca":"4 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/","url":"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/","name":"Panduan untuk dt, qt, pt dan rt di R - Statorials","isPartOf":{"@id":"https:\/\/statorials.org\/id\/#website"},"datePublished":"2023-07-29T17:37:17+00:00","dateModified":"2023-07-29T17:37:17+00:00","author":{"@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81"},"description":"Tutorial ini memberikan penjelasan sederhana tentang cara bekerja dengan distribusi Student t di R menggunakan fungsi dt(), qt(), pt(), dan rt().","breadcrumb":{"@id":"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/id\/bekerja-dengan-distribusi-t-siswa-di-r-dt-qt-pt-rt\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/statorials.org\/id\/"},{"@type":"ListItem","position":2,"name":"Panduan untuk dt, qt, pt, & rt di r"}]},{"@type":"WebSite","@id":"https:\/\/statorials.org\/id\/#website","url":"https:\/\/statorials.org\/id\/","name":"Statorials","description":"Panduan anda untuk kompetensi statistik!","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/statorials.org\/id\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"id"},{"@type":"Person","@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81","name":"Benjamin anderson","image":{"@type":"ImageObject","inLanguage":"id","@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/image\/","url":"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","contentUrl":"http:\/\/statorials.org\/id\/wp-content\/uploads\/2023\/10\/Dr.-Benjamin-Anderson-96x96.jpg","caption":"Benjamin anderson"},"description":"Halo, saya Benjamin, pensiunan profesor statistika yang menjadi guru Statorial yang berdedikasi. Dengan pengalaman dan keahlian yang luas di bidang statistika, saya ingin berbagi ilmu untuk memberdayakan mahasiswa melalui Statorials. Baca selengkapnya","sameAs":["http:\/\/statorials.org\/id"]}]}},"yoast_meta":{"yoast_wpseo_title":"","yoast_wpseo_metadesc":"","yoast_wpseo_canonical":""},"_links":{"self":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/494"}],"collection":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/comments?post=494"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/494\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/media?parent=494"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/categories?post=494"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/tags?post=494"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}