{"id":2011,"date":"2023-07-24T02:36:15","date_gmt":"2023-07-24T02:36:15","guid":{"rendered":"https:\/\/statorials.org\/id\/nilai-yang-diharapkan-dalam-r\/"},"modified":"2023-07-24T02:36:15","modified_gmt":"2023-07-24T02:36:15","slug":"nilai-yang-diharapkan-dalam-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/nilai-yang-diharapkan-dalam-r\/","title":{"rendered":"Cara menghitung nilai yang diharapkan dalam r (dengan contoh)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Distribusi probabilitas memberi tahu kita probabilitas suatu variabel acak mengambil nilai tertentu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, distribusi probabilitas berikut memberi tahu kita probabilitas bahwa tim sepak bola tertentu akan mencetak sejumlah gol dalam pertandingan tertentu:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-14093 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyennedist1.png\" alt=\"\" width=\"261\" height=\"185\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Untuk mencari <strong>nilai ekspektasi<\/strong> dari suatu distribusi probabilitas, kita dapat menggunakan rumus berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03bc = \u03a3x * P(x)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">x: nilai data<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(x): Probabilitas nilai<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Misalnya, jumlah gol yang diharapkan untuk tim sepak bola akan dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">\u03bc = 0*0,18 + 1*0,34 + 2*0,35 + 3*0,11 + 4*0,02 = <strong>1,45<\/strong> gol.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Untuk menghitung nilai yang diharapkan dari distribusi probabilitas di R, kita dapat menggunakan salah satu dari tiga metode:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#method 1<\/span>\nsum(vals*probs)\n\n<span style=\"color: #008080;\">#method 2\n<\/span>weighted. <span style=\"color: #3366ff;\">mean<\/span> (vals, probs)\n\n<span style=\"color: #008080;\">#method 3\n<\/span>c(vals <span style=\"color: #800080;\">%*%<\/span> probs)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ketiga metode akan memberikan hasil yang sama.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara menggunakan masing-masing metode ini di R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 1: Nilai yang diharapkan menggunakan sum()<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kode berikut menunjukkan cara menghitung nilai yang diharapkan dari distribusi probabilitas menggunakan fungsi <strong>sum()<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define values\n<span style=\"color: #000000;\">vals &lt;- c(0, 1, 2, 3, 4)\n<\/span>\n#define probabilities\n<span style=\"color: #000000;\">probs &lt;- c(.18, .34, .35, .11, .02)\n<\/span>\n#calculate expected value<\/span>\nsum(vals*probs)\n\n[1] 1.45\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 2:<\/strong><\/span> <span style=\"color: #000000;\"><strong>Nilai yang diharapkan menggunakan Weighted.mean()<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kode berikut menunjukkan cara menghitung nilai yang diharapkan dari distribusi probabilitas menggunakan fungsi built-inweighted.mean <strong>()<\/strong> di R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define values\n<span style=\"color: #000000;\">vals &lt;- c(0, 1, 2, 3, 4)\n<\/span>\n#define probabilities\n<span style=\"color: #000000;\">probs &lt;- c(.18, .34, .35, .11, .02)\n<\/span>\n#calculate expected value<\/span>\nweighted. <span style=\"color: #3366ff;\">mean<\/span> (vals, probs)\n\n[1] 1.45<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Contoh 3: Nilai yang diharapkan menggunakan c()<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kode berikut menunjukkan cara menghitung nilai yang diharapkan dari distribusi probabilitas menggunakan fungsi <strong>c()<\/strong> bawaan di R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define values\n<span style=\"color: #000000;\">vals &lt;- c(0, 1, 2, 3, 4)\n<\/span>\n#define probabilities\n<span style=\"color: #000000;\">probs &lt;- c(.18, .34, .35, .11, .02)\n<\/span>\n#calculate expected value<\/span>\nc(vals <span style=\"color: #800080;\">%*%<\/span> probs)\n\n[1] 1.45<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Perhatikan bahwa ketiga metode mengembalikan nilai yang diharapkan sama.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/fungsi-rata-rata-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara menghitung rata-rata dalam R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/rata-rata-geometri-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara menghitung mean geometrik di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/rata-rata-tertimbang-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara menghitung rata-rata tertimbang di R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Distribusi probabilitas memberi tahu kita probabilitas suatu variabel acak mengambil nilai tertentu. Misalnya, distribusi probabilitas berikut memberi tahu kita probabilitas bahwa tim sepak bola tertentu akan mencetak sejumlah gol dalam pertandingan tertentu: Untuk mencari nilai ekspektasi dari suatu distribusi probabilitas, kita dapat menggunakan rumus berikut: \u03bc = \u03a3x * P(x) Emas: x: nilai data P(x): [&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 Menghitung Nilai yang Diharapkan dalam R (Dengan Contoh) - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara menghitung nilai yang diharapkan dari distribusi probabilitas 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\/nilai-yang-diharapkan-dalam-r\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara Menghitung Nilai yang Diharapkan dalam R (Dengan Contoh) - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara menghitung nilai yang diharapkan dari distribusi probabilitas di R, dengan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/nilai-yang-diharapkan-dalam-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-24T02:36:15+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/moyennedist1.png\" \/>\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=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/nilai-yang-diharapkan-dalam-r\/\",\"url\":\"https:\/\/statorials.org\/id\/nilai-yang-diharapkan-dalam-r\/\",\"name\":\"Cara Menghitung Nilai yang Diharapkan dalam R (Dengan Contoh) - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-24T02:36:15+00:00\",\"dateModified\":\"2023-07-24T02:36:15+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara menghitung nilai yang diharapkan dari distribusi probabilitas di R, dengan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/nilai-yang-diharapkan-dalam-r\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/nilai-yang-diharapkan-dalam-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/nilai-yang-diharapkan-dalam-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara menghitung nilai yang diharapkan dalam r (dengan contoh)\"}]},{\"@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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