{"id":2443,"date":"2023-07-22T06:27:41","date_gmt":"2023-07-22T06:27:41","guid":{"rendered":"https:\/\/statorials.org\/id\/teorema-bayes-di-sungai\/"},"modified":"2023-07-22T06:27:41","modified_gmt":"2023-07-22T06:27:41","slug":"teorema-bayes-di-sungai","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/teorema-bayes-di-sungai\/","title":{"rendered":"Bagaimana menerapkan teorema bayes di r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Teorema Bayes<\/strong> menyatakan hal berikut untuk dua kejadian <em>A<\/em> dan <em>B<\/em> <em>:<\/em><\/span><\/p>\n<p> <span style=\"color: #000000;\">P(A|B) = P(A)*P(B|A) \/ P(B)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(A|B): Peluang terjadinya peristiwa A, jika diketahui peristiwa B, telah terjadi.<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(B|A): Probabilitas kejadian B, jika kejadian A terjadi, terjadi.<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(A): Peluang kejadian A.<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(B): Peluang kejadian B.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Misalnya, peluang terjadinya cuaca berawan adalah 40%. Mari kita asumsikan juga bahwa peluang terjadinya hujan pada hari tertentu adalah 20% dan peluang munculnya awan pada hari hujan adalah 85%.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Jika di luar berawan pada hari tertentu, berapa peluang akan turun hujan pada hari itu?<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Solusi<\/strong> :<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(mendung) = 0,40<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(hujan) = 0,20<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(mendung | hujan) = 0,85<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Jadi, kita dapat menghitung:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(hujan | mendung) = P(hujan) * P(mendung | hujan) \/ P(mendung)<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(hujan | mendung) = 0,20 * 0,85 \/ 0,40<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(hujan | mendung) = 0,425<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Jika di luar berawan pada hari tertentu, kemungkinan hujan pada hari itu adalah <strong>42,5%<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kita dapat membuat fungsi sederhana berikut untuk menerapkan teorema Bayes di R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>bayesTheorem &lt;- <span style=\"color: #008000;\">function<\/span> (pA, pB, pBA) {\n  pAB &lt;- pA * pBA \/ pB\n  <span style=\"color: #008000;\">return<\/span> (pAB)\n}\n<\/strong><\/pre>\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: Teorema Bayes di R<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita mengetahui probabilitas berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">P(hujan) = 0,20<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(mendung) = 0,40<\/span><\/li>\n<li> <span style=\"color: #000000;\">P(mendung | hujan) = 0,85<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Untuk menghitung P(hujan | mendung), kita dapat menggunakan sintaks berikut:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#define function for Bayes' Theorem<\/span>\nbayesTheorem &lt;- <span style=\"color: #008000;\">function<\/span> (pA, pB, pBA) {\n  pAB &lt;- pA * pBA \/ pB\n  <span style=\"color: #008000;\">return<\/span> (pAB)\n}\n\n<span style=\"color: #008080;\">#define probabilities\n<span style=\"color: #000000;\">pRain &lt;- 0.2<\/span>\n<span style=\"color: #000000;\">pCloudy &lt;- 0.4<\/span>\n<span style=\"color: #000000;\">pCloudyRain &lt;- .85<\/span><\/span>\n\n<span style=\"color: #008080;\">#use function to calculate conditional probability<\/span>\nbayesTheorem(pRain, pCloudy, pCloudyRain)\n\n[1] 0.425\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Hal ini menunjukkan bahwa jika di luar berawan pada hari tertentu, kemungkinan turunnya hujan pada hari itu adalah <strong>0,425<\/strong> atau <strong>42,5%<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini cocok dengan nilai yang kami hitung secara manual sebelumnya.<\/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 menghitung probabilitas lain di R:<\/span><\/p>\n<p> Cara menghitung probabilitas bersyarat di R<br \/> <a href=\"https:\/\/statorials.org\/id\/rata-rata-bersyarat-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara menghitung mean bersyarat di R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Teorema Bayes menyatakan hal berikut untuk dua kejadian A dan B : P(A|B) = P(A)*P(B|A) \/ P(B) Emas: P(A|B): Peluang terjadinya peristiwa A, jika diketahui peristiwa B, telah terjadi. P(B|A): Probabilitas kejadian B, jika kejadian A terjadi, terjadi. P(A): Peluang kejadian A. P(B): Peluang kejadian B. Misalnya, peluang terjadinya cuaca berawan adalah 40%. Mari kita [&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>Bagaimana menerapkan teorema Bayes dalam R - Statologi<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara menggunakan teorema Bayes 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\/teorema-bayes-di-sungai\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bagaimana menerapkan teorema Bayes dalam R - Statologi\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara menggunakan teorema Bayes di R, dengan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/teorema-bayes-di-sungai\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-22T06:27:41+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=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/teorema-bayes-di-sungai\/\",\"url\":\"https:\/\/statorials.org\/id\/teorema-bayes-di-sungai\/\",\"name\":\"Bagaimana menerapkan teorema Bayes dalam R - Statologi\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-22T06:27:41+00:00\",\"dateModified\":\"2023-07-22T06:27:41+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara menggunakan teorema Bayes di R, dengan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/teorema-bayes-di-sungai\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/teorema-bayes-di-sungai\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/teorema-bayes-di-sungai\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bagaimana menerapkan teorema bayes 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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