{"id":2967,"date":"2023-07-19T20:57:51","date_gmt":"2023-07-19T20:57:51","guid":{"rendered":"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/"},"modified":"2023-07-19T20:57:51","modified_gmt":"2023-07-19T20:57:51","slug":"distribusi-normal-bivariat-di-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/","title":{"rendered":"Cara mensimulasikan &amp; merencanakan distribusi normal bivariat di r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><span style=\"color: #000000;\">Dalam statistik, dua variabel mengikuti <strong>distribusi normal bivariat<\/strong> jika keduanya mempunyai distribusi normal jika dijumlahkan.<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Tutorial ini menjelaskan cara melakukan tugas-tugas berikut di R:<\/span><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Simulasikan distribusi normal bivariat<\/span><\/li>\n<li> <span style=\"color: #000000;\">Plot distribusi normal bivariat menggunakan plot kontur (plot 2D)<\/span><\/li>\n<li> <span style=\"color: #000000;\">Plot distribusi normal bivariat menggunakan plot permukaan (plot 3D)<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Ayo pergi!<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 1: Simulasikan distribusi normal bivariat di R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Cara paling sederhana untuk mensimulasikan distribusi normal bivariat di R adalah dengan menggunakan fungsi <strong>mvrnorm()<\/strong> dari paket <strong>MASS<\/strong> .<\/span><\/span><\/p>\n<p> <span style=\"color: #000000;\">Kode berikut menunjukkan cara menggunakan fungsi ini untuk mensimulasikan distribusi normal bivariat dalam praktiknya:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">library<\/span> (MASS)\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">0<\/span> )\n\n<span style=\"color: #008080;\">#simulate bivariate normal distribution\n<\/span>bivariate_data &lt;- as. <span style=\"color: #3366ff;\">data<\/span> . <span style=\"color: #3366ff;\">frame<\/span> (mvrnorm(n= <span style=\"color: #008000;\">100<\/span> ,\n                                        mu=c(0, 0),\n                                        Sigma=matrix(c(5, 3, 4, 4), ncol= <span style=\"color: #008000;\">2<\/span> )))\n\n<span style=\"color: #008080;\">#view first six rows of bivariate dataset\n<\/span>head(bivariate_data)\n\n           V1 V2\n1 -2.03600343 -2.9623059\n2 0.07719131 1.2948982\n3 -3.26729701 -1.7928069\n4 -2.62985132 -2.3015471\n5 -1.75126215 0.3056698\n6 3.67698436 2.2020238\n<\/strong><\/span><\/pre>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Inilah fungsi setiap argumen pada fungsi <strong>mvrnorm()<\/strong> :<\/span><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>n<\/strong> : Mendefinisikan ukuran sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>mu<\/strong> : Mendefinisikan rata-rata setiap variabel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>Sigma<\/strong> : Mendefinisikan matriks kovarians kedua variabel<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Hasil akhirnya adalah kerangka data dengan dua variabel yang mengikuti distribusi normal jika dijumlahkan.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 2:<\/strong><\/span> <span style=\"color: #000000;\"><strong>Merencanakan Distribusi Normal Bivariat<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Cara termudah untuk memplot distribusi normal bivariat di R adalah dengan menggunakan fungsi dalam paket <strong>mnormt()<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, kita dapat menggunakan fungsi <strong>contour()<\/strong> pada paket ini untuk membuat plot kontur, yang memberikan visualisasi 2D dari distribusi normal bivariat:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">library<\/span> (mnormt)\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">0<\/span> )\n\n<span style=\"color: #008080;\">#create bivariate normal distribution\n<\/span>x &lt;- seq(-3, 3, 0.1) \ny &lt;- seq(-3, 3, 0.1)\nmu &lt;- c(0, 0)\nsigma &lt;- matrix(c(2, -1, -1, 2), nrow= <span style=\"color: #008000;\">2<\/span> )\nf &lt;- function(x, y) dmnorm(cbind(x, y), mu, sigma)\nz &lt;- outer(x, y, f)\n\n<span style=\"color: #008080;\">#create contour plot\n<\/span>contour(x, y, z)\n<\/strong><\/span><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-25707\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivar1.jpg\" alt=\"plot kontur normal bivariat di R\" width=\"448\" height=\"413\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Kita juga dapat menggunakan fungsi <strong>persp()<\/strong> untuk membuat plot permukaan, yang memberikan visualisasi 3D dari distribusi normal bivariat:<\/span> <\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <span style=\"color: #000000;\"><strong><span style=\"color: #008000;\">library<\/span> (mnormt)\n\n<span style=\"color: #008080;\">#make this example reproducible\n<\/span>set. <span style=\"color: #3366ff;\">seed<\/span> ( <span style=\"color: #008000;\">0<\/span> )\n\n<span style=\"color: #008080;\">#create bivariate normal distribution\n<\/span>x &lt;- seq(-3, 3, 0.1) \ny &lt;- seq(-3, 3, 0.1)\nmu &lt;- c(0, 0)\nsigma &lt;- matrix(c(2, -1, -1, 2), nrow= <span style=\"color: #008000;\">2<\/span> )\nf &lt;- function(x, y) dmnorm(cbind(x, y), mu, sigma)\nz &lt;- outer(x, y, f)\n\n<span style=\"color: #008080;\">#create surface plot\n<\/span>persp(x, y, z, theta= <span style=\"color: #008000;\">-30<\/span> , phi= <span style=\"color: #008000;\">25<\/span> , expand= <span style=\"color: #008000;\">0.6<\/span> , ticktype=' <span style=\"color: #ff0000;\">detailed<\/span> ')\n<\/strong><\/span><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-25708\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivar2.jpg\" alt=\"plot permukaan distribusi normal bivariat di R\" width=\"447\" height=\"384\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Inilah fungsi setiap argumen pada fungsi <strong>persp()<\/strong> :<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>theta, phi<\/strong> : Mengatur sudut arah tampilan.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>expand<\/strong> : Mengontrol ukuran sumbu z.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>ticktype<\/strong> : Mengontrol tampilan tanda centang pada sumbu.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Hasil akhirnya adalah plot permukaan 3D dari distribusi normal bivariat.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Tutorial berikut menjelaskan cara menggunakan distribusi probabilitas lain di R:<\/span><\/p>\n<p> <a href=\"https:\/\/statorials.org\/id\/dnorm-pnorm-rnorm-qnorm-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara menggunakan distribusi normal di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/dbinom-pbinom-qbinom-rbinom-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara menggunakan distribusi binomial di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/ppois-ppois-qpois-rpois-r\/\" target=\"_blank\" rel=\"noopener\">Cara menggunakan distribusi Poisson di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/distribusi-multinomial-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara menggunakan distribusi multinomial di R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dalam statistik, dua variabel mengikuti distribusi normal bivariat jika keduanya mempunyai distribusi normal jika dijumlahkan. Tutorial ini menjelaskan cara melakukan tugas-tugas berikut di R: Simulasikan distribusi normal bivariat Plot distribusi normal bivariat menggunakan plot kontur (plot 2D) Plot distribusi normal bivariat menggunakan plot permukaan (plot 3D) Ayo pergi! Contoh 1: Simulasikan distribusi normal bivariat di [&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 mensimulasikan dan memplot distribusi normal bivariat di R - Statorials<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara mensimulasikan dan memplot distribusi normal bivariat 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-normal-bivariat-di-r\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara mensimulasikan dan memplot distribusi normal bivariat di R - Statorials\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara mensimulasikan dan memplot distribusi normal bivariat di R, dengan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-19T20:57:51+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivar1.jpg\" \/>\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-normal-bivariat-di-r\/\",\"url\":\"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/\",\"name\":\"Cara mensimulasikan dan memplot distribusi normal bivariat di R - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-19T20:57:51+00:00\",\"dateModified\":\"2023-07-19T20:57:51+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara mensimulasikan dan memplot distribusi normal bivariat di R, dengan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara mensimulasikan &amp; merencanakan distribusi normal bivariat 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":"Cara mensimulasikan dan memplot distribusi normal bivariat di R - Statorials","description":"Tutorial ini menjelaskan cara mensimulasikan dan memplot distribusi normal bivariat di R, dengan beberapa contoh.","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\/distribusi-normal-bivariat-di-r\/","og_locale":"id_ID","og_type":"article","og_title":"Cara mensimulasikan dan memplot distribusi normal bivariat di R - Statorials","og_description":"Tutorial ini menjelaskan cara mensimulasikan dan memplot distribusi normal bivariat di R, dengan beberapa contoh.","og_url":"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/","og_site_name":"Statorials","article_published_time":"2023-07-19T20:57:51+00:00","og_image":[{"url":"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/bivar1.jpg"}],"author":"Benjamin anderson","twitter_card":"summary_large_image","twitter_misc":{"Ditulis oleh":"Benjamin anderson","Estimasi waktu membaca":"2 menit"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/","url":"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/","name":"Cara mensimulasikan dan memplot distribusi normal bivariat di R - Statorials","isPartOf":{"@id":"https:\/\/statorials.org\/id\/#website"},"datePublished":"2023-07-19T20:57:51+00:00","dateModified":"2023-07-19T20:57:51+00:00","author":{"@id":"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81"},"description":"Tutorial ini menjelaskan cara mensimulasikan dan memplot distribusi normal bivariat di R, dengan beberapa contoh.","breadcrumb":{"@id":"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/#breadcrumb"},"inLanguage":"id","potentialAction":[{"@type":"ReadAction","target":["https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/statorials.org\/id\/distribusi-normal-bivariat-di-r\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/statorials.org\/id\/"},{"@type":"ListItem","position":2,"name":"Cara mensimulasikan &amp; merencanakan distribusi normal bivariat 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\/2967"}],"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=2967"}],"version-history":[{"count":0,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/posts\/2967\/revisions"}],"wp:attachment":[{"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/media?parent=2967"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/categories?post=2967"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/statorials.org\/id\/wp-json\/wp\/v2\/tags?post=2967"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}