{"id":1245,"date":"2023-07-27T04:01:05","date_gmt":"2023-07-27T04:01:05","guid":{"rendered":"https:\/\/statorials.org\/id\/varians-di-r\/"},"modified":"2023-07-27T04:01:05","modified_gmt":"2023-07-27T04:01:05","slug":"varians-di-r","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/varians-di-r\/","title":{"rendered":"Cara menghitung varians sampel & populasi di r"},"content":{"rendered":"

<\/p>\n

\n

Varians<\/strong> adalah cara untuk mengukur seberapa baik nilai data didistribusikan di sekitar mean.<\/span><\/p>\n

Rumus untuk mencari varians suatu populasi<\/a> adalah:<\/span><\/p>\n

\u03c3 2<\/sup><\/strong> = \u03a3 ( xi<\/sub> \u2013 \u03bc) 2<\/sup> \/ N<\/span><\/p>\n

dimana \u03bc adalah rata-rata populasi, x i<\/sub> adalah elemen ke- i<\/sup> dari populasi, N adalah ukuran populasi, dan \u03a3 hanyalah sebuah simbol indah yang berarti “jumlah”.<\/span><\/p>\n

Rumus untuk mencari varians suatu sampel<\/a> adalah:<\/span><\/p>\n

s 2<\/sup><\/strong> = \u03a3 ( xi<\/sub> \u2013 x<\/span> ) 2<\/sup> \/ (n-1)<\/span><\/p>\n

dimana x<\/span> adalah mean sampel, x i<\/sub> adalah elemen sampel ke<\/sup> i dan n adalah ukuran sampel.<\/span><\/p>\n

Contoh: Hitung varians sampel dan populasi di R<\/strong><\/span><\/h3>\n

Misalkan kita memiliki kumpulan data berikut di R:<\/span><\/p>\n

 #define dataset<\/span>\ndata <- c(2, 4, 4, 7, 8, 12, 14, 15, 19, 22)\n<\/strong><\/pre>\n
 Kita dapat menghitung varians sampel<\/strong> menggunakan fungsi var()<\/strong> di R:<\/span><\/p>\n
 #calculate sample variance<\/span>\nvar(data)\n\n[1] 46.01111\n<\/strong><\/pre>\n
 Dan kita dapat menghitung varians populasi<\/strong> hanya dengan mengalikan varians sampel dengan (n-1)\/n sebagai berikut:<\/span><\/p>\n
 #determine length of data\nn <- length<\/span> (data)<\/span>\n\n#calculate population variance<\/span>\nvar(data) * (n-1)\/n\n\n[1] 41.41\n<\/strong><\/pre>\n
 Perhatikan bahwa varians populasi akan selalu lebih kecil dari varians sampel.<\/span><\/p>\n
 Dalam praktiknya, kami biasanya menghitung varians sampel untuk kumpulan data, karena pengumpulan data untuk seluruh populasi merupakan hal yang tidak biasa.<\/span><\/p>\n
 Contoh: Hitung varians sampel beberapa kolom<\/strong><\/span><\/h3>\n
 Misalkan kita memiliki bingkai data berikut di R:<\/span><\/p>\n
 #create data frame\ndata <- data.frame(a=c(1, 3, 4, 4, 6, 7, 8, 12),\n                   b=c(2, 4, 4, 5, 5, 6, 7, 16),\n                   c=c(6, 6, 7, 8, 8, 9, 9, 12))\n\n#view data frame<\/span>\ndata\n\n   ABC\n1 1 2 6\n2 3 4 6\n3 4 4 7\n4 4 5 8\n5 6 5 8\n6 7 6 9\n7 8 7 9\n8 12 16 12<\/span><\/span><\/strong><\/pre>\n
 #find sample variance of each column\nsapply(data, var)\n\n        ABC\n11.696429 18.125000 3.839286<\/span>\n<\/span><\/strong><\/pre>\n
 Dan kita dapat menggunakan kode berikut untuk menghitung deviasi standar sampel setiap kolom, yang merupakan akar kuadrat dari varians sampel:<\/span><\/p>\n
 #find sample standard deviation of each column\nsapply(data, sd)\n\n       ABC\n3.420004 4.257347 1.959410<\/span><\/span><\/strong><\/pre>\n
 Anda dapat menemukan lebih banyak tutorial R di sini .<\/em><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"
Varians adalah cara untuk mengukur seberapa baik nilai data didistribusikan di sekitar mean. Rumus untuk mencari varians suatu populasi adalah: \u03c3 2 = \u03a3 ( xi \u2013 \u03bc) 2 \/ N dimana \u03bc adalah rata-rata populasi, x i adalah elemen ke- i dari populasi, N adalah ukuran populasi, dan \u03a3 hanyalah sebuah simbol indah yang […]<\/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":"\nCara menghitung varians sampel dan populasi di R<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara menghitung varians sampel dan varians populasi 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\/varians-di-r\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara menghitung varians sampel dan populasi di R\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara menghitung varians sampel dan varians populasi di R, dengan beberapa contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/varians-di-r\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T04:01:05+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\/varians-di-r\/\",\"url\":\"https:\/\/statorials.org\/id\/varians-di-r\/\",\"name\":\"Cara menghitung varians sampel dan populasi di R\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-27T04:01:05+00:00\",\"dateModified\":\"2023-07-27T04:01:05+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara menghitung varians sampel dan varians populasi di R, dengan beberapa contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/varians-di-r\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/varians-di-r\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/varians-di-r\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara menghitung varians sampel & populasi 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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 Kita dapat menggunakan fungsi sapply()<\/a> untuk menghitung varians sampel setiap kolom dalam bingkai data:<\/span><\/p>\n