{"id":2490,"date":"2023-07-22T01:25:42","date_gmt":"2023-07-22T01:25:42","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-multinomial-di-r\/"},"modified":"2023-07-22T01:25:42","modified_gmt":"2023-07-22T01:25:42","slug":"distribusi-multinomial-di-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-multinomial-di-r\/","title":{"rendered":"Cara menggunakan distribusi multinomial di r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/distribusi-multinomial-1\/\" target=\"_blank\" rel=\"noopener\">Distribusi multinomial<\/a> menggambarkan probabilitas diperolehnya sejumlah penghitungan tertentu untuk <em>k<\/em> hasil yang berbeda, ketika setiap hasil memiliki probabilitas terjadinya yang tetap.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><sub>Jika<\/sub> <sub>suatu<\/sub> variabel <em>acak<\/em> dapat dicari dengan rumus berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Probabilitas =<\/strong> <strong>n! * (p <sub>1<\/sub> <sup>x <sub>1<\/sub><\/sup> * p <sub>2<\/sub> <sup>x <sub>2<\/sub><\/sup> * \u2026 * p <sub>k<\/sub> <sup>x <sub>k<\/sub><\/sup> ) \/ (x <sub>1<\/sub> ! * x <sub>2<\/sub> ! \u2026 * x <sub>k<\/sub> !)<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> jumlah total acara<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>x <sub>1<\/sub> :<\/strong> berapa kali hasil 1 muncul<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>p <sub>1<\/sub> :<\/strong> peluang munculnya hasil 1 pada suatu percobaan tertentu<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Untuk menghitung probabilitas multinomial di R kita dapat menggunakan fungsi <strong>dmultinom()<\/strong> , yang menggunakan sintaks berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>dmultinom(x=c(1, 6, 8), soal=c(.4, .5, .1))<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>x<\/strong> : Vektor yang mewakili frekuensi setiap hasil<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>prob<\/strong> : Vektor yang mewakili probabilitas setiap hasil (jumlahnya harus 1)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara menggunakan fungsi ini dalam praktiknya.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 1<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Dalam pemilihan walikota tiga arah, calon A memperoleh 10% suara, calon B memperoleh 40% suara, dan calon C memperoleh 50% suara.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika kita mengambil sampel acak yang terdiri dari 10 pemilih, berapa peluang terambilnya 2 orang memilih calon A, 4 orang memilih calon B, dan 4 orang memilih calon C?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan kode berikut di R untuk menjawab pertanyaan ini:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate multinomial probability\n<\/span>dmultinom(x=c(2, 4, 4), prob=c(.1, .4, .5))\n\n[1] 0.0504\n<\/strong><\/pre>\n<p data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\">Peluang terambilnya tepat 2 orang memilih A, 4 orang memilih B, dan 4 orang memilih C adalah <strong>0,0504<\/strong> .<\/span><\/p>\n<h3 data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>Contoh 2<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan sebuah guci berisi 6 kelereng kuning, 2 kelereng merah, dan 2 kelereng merah muda.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika kita mengambil 4 bola secara acak dari dalam guci, dengan pengembalian, berapa peluang terambilnya keempat bola tersebut berwarna kuning?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan kode berikut di R untuk menjawab pertanyaan ini:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate multinomial probability\n<\/span>dmultinom(x=c(4, 0, 0), prob=c(.6, .2, .2))\n\n[1] 0.1296\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Peluang terambilnya keempat bola berwarna kuning adalah <strong>0,1296<\/strong> .<\/span><\/p>\n<h3 data-slot-rendered-dynamic=\"true\"> <span style=\"color: #000000;\"><strong>Contoh 3<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan dua siswa sedang bermain catur melawan satu sama lain. Peluang siswa A memenangkan suatu permainan adalah 0,5, peluang siswa B memenangkan permainan tertentu adalah 0,3, dan peluang terjadinya seri dalam permainan tertentu adalah 0,2.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika mereka memainkan 10 permainan, berapa peluang pemain A menang 4 kali, pemain B menang 5 kali, dan seri 1 kali?<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat menggunakan kode berikut di R untuk menjawab pertanyaan ini:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate multinomial probability\n<\/span>dmultinom(x=c(4, 5, 1), prob=c(.5, .3, .2))\n\n[1] 0.0382725\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Peluang pemain A menang 4 kali, pemain B menang 5 kali, dan seri 1 kali adalah kira-kira <strong>0,038<\/strong> .<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tutorial berikut memberikan informasi tambahan tentang distribusi multinomial:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/id\/distribusi-multinomial-1\/\" target=\"_blank\" rel=\"noopener\">Pengantar Distribusi Multinomial<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/kalkulator-distribusi-multinomial\/\" target=\"_blank\" rel=\"noopener\">Kalkulator Distribusi Multinomial<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/tes-multinomial\/\" target=\"_blank\" rel=\"noopener\">Apa itu tes multinomial? (Definisi dan contoh)<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distribusi multinomial menggambarkan probabilitas diperolehnya sejumlah penghitungan tertentu untuk k hasil yang berbeda, ketika setiap hasil memiliki probabilitas terjadinya yang tetap. Jika suatu variabel acak dapat dicari dengan rumus berikut: Probabilitas = n! * (p 1 x 1 * p 2 x 2 * \u2026 * p k x k ) \/ (x 1 ! [&hellip;]<\/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":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Cara menggunakan distribusi multinomial di R - Statorials<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara menggunakan distribusi multinomial di R, dengan beberapa contoh.\" \/>\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\/distribusi-multinomial-di-r\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara menggunakan distribusi multinomial di R - Statorials\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara menggunakan distribusi multinomial di R, dengan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/distribusi-multinomial-di-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-22T01:25:42+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=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-multinomial-di-r\/\",\"url\":\"https:\/\/statorials.org\/id\/distribusi-multinomial-di-r\/\",\"name\":\"Cara menggunakan distribusi multinomial di R - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-22T01:25:42+00:00\",\"dateModified\":\"2023-07-22T01:25:42+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara menggunakan distribusi multinomial di R, dengan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/distribusi-multinomial-di-r\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/distribusi-multinomial-di-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-multinomial-di-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara menggunakan distribusi multinomial 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. 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