{"id":1722,"date":"2023-07-25T06:08:27","date_gmt":"2023-07-25T06:08:27","guid":{"rendered":"https:\/\/statorials.org\/id\/bagaimana-menafsirkan-kesalahan-standar-sisa\/"},"modified":"2023-07-25T06:08:27","modified_gmt":"2023-07-25T06:08:27","slug":"bagaimana-menafsirkan-kesalahan-standar-sisa","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/bagaimana-menafsirkan-kesalahan-standar-sisa\/","title":{"rendered":"Bagaimana menafsirkan kesalahan standar sisa"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Kesalahan standar sisa<\/strong> digunakan untuk mengukur seberapa cocok <a href=\"https:\/\/statorials.org\/id\/regresi-linier-1\/\" target=\"_blank\" rel=\"noopener\">model regresi<\/a> dengan kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Secara sederhana, ini mengukur deviasi standar residu dalam model regresi.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><span style=\"color: #000000;\">Ini dihitung sebagai berikut:<\/span><\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Kesalahan standar sisa = \u221a <span style=\"border-top: 1px solid black;\">\u03a3(y \u2013 \u0177) <sup>2<\/sup> \/df<\/span><\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>y :<\/strong> Nilai yang diamati<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>\u0177 :<\/strong> Nilai prediksi<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>df:<\/strong> Derajat kebebasan, dihitung sebagai jumlah total observasi \u2013 jumlah total parameter model.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Semakin kecil kesalahan standar sisa, semakin baik model regresi cocok dengan kumpulan data. Sebaliknya, semakin tinggi kesalahan standar sisa, semakin buruk kesesuaian model regresi terhadap kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Model regresi yang memiliki kesalahan standar sisa yang kecil akan memiliki titik-titik data yang mengelompok di sekitar garis regresi yang sesuai:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15730 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate1.png\" alt=\"\" width=\"431\" height=\"322\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/residu\/\" target=\"_blank\" rel=\"noopener\">Residual<\/a> model ini (selisih antara nilai observasi dan nilai prediksi) akan kecil, artinya standar error sisa juga akan kecil.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Sebaliknya, model regresi yang memiliki kesalahan standar sisa yang besar akan memiliki titik-titik data yang tersebar lebih longgar di sekitar garis regresi yang dipasang:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\" wp-image-15731 aligncenter\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate2.png\" alt=\"\" width=\"445\" height=\"325\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><a href=\"https:\/\/statorials.org\/id\/residu\/\" target=\"_blank\" rel=\"noopener\">Residual<\/a> dari model ini akan semakin besar yang berarti sisa standar errornya juga akan semakin besar.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara menghitung dan menafsirkan kesalahan standar sisa model regresi di R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: Menafsirkan kesalahan standar sisa<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita ingin menyesuaikan model regresi linier berganda berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">mpg = \u03b2 <sub>0<\/sub> + \u03b2 <sub>1<\/sub> (perpindahan) + \u03b2 <sub>2<\/sub> (daya)<\/span><\/p>\n<p> <span style=\"color: #000000;\">Model ini menggunakan variabel prediktor \u201cperpindahan\u201d dan \u201ctenaga kuda\u201d untuk memprediksi mil per galon yang ditempuh oleh mobil tertentu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kode berikut menunjukkan cara menyesuaikan model regresi ini di R:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load built-in <em>mtcars<\/em> dataset<\/span>\ndata(mtcars)\n\n<span style=\"color: #008080;\">#fit regression model\n<\/span>model &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\n\nCall:\nlm(formula = mpg ~ disp + hp, data = mtcars)\n\nResiduals:\n    Min 1Q Median 3Q Max \n-4.7945 -2.3036 -0.8246 1.8582 6.9363 \n\nCoefficients:\n             Estimate Std. Error t value Pr(&gt;|t|)    \n(Intercept) 30.735904 1.331566 23.083 &lt; 2nd-16 ***\navailable -0.030346 0.007405 -4.098 0.000306 ***\nhp -0.024840 0.013385 -1.856 0.073679 .  \n---\nSignificant. codes: 0 '***' 0.001 '**' 0.01 '*' 0.05 '.' 0.1 ' ' 1\n\nResidual standard error: <span style=\"color: #008000;\">3.127<\/span> on 29 degrees of freedom\nMultiple R-squared: 0.7482, Adjusted R-squared: 0.7309 \nF-statistic: 43.09 on 2 and 29 DF, p-value: 2.062e-09<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Di bagian bawah hasil, kita dapat melihat bahwa kesalahan standar sisa model ini adalah <strong>3,127<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hal ini menunjukkan bahwa model regresi memprediksi mpg mobil dengan kesalahan rata-rata sekitar 3,127.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Menggunakan kesalahan standar sisa untuk membandingkan model<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Kesalahan standar sisa sangat berguna untuk membandingkan kesesuaian model regresi yang berbeda.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, kita memasangkan dua model regresi berbeda untuk memprediksi mpg mobil. Kesalahan standar sisa masing-masing model adalah sebagai berikut:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Kesalahan standar sisa model 1: <strong>3.127<\/strong><\/span><\/li>\n<li> <span style=\"color: #000000;\">Kesalahan standar sisa model 2: <strong>5.657<\/strong><\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Karena Model 1 memiliki kesalahan standar sisa yang lebih rendah, model ini lebih cocok dengan data dibandingkan Model 2. Oleh karena itu, kami lebih memilih menggunakan Model 1 untuk memprediksi mpg mobil, karena prediksi yang dibuatnya lebih dekat dengan nilai mpg mobil yang diamati.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Sumber daya tambahan<\/strong><\/span><\/h3>\n<p> <a href=\"https:\/\/statorials.org\/id\/regresi-linier-sederhana-di-r\/\" target=\"_blank\" rel=\"noopener\">Cara melakukan regresi linier sederhana di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/regresi-linier-berganda-r\/\" target=\"_blank\" rel=\"noopener\">Cara melakukan regresi linier berganda di R<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/sisa-jejak-r\/\" target=\"_blank\" rel=\"noopener\">Cara membuat plot sisa di R<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Kesalahan standar sisa digunakan untuk mengukur seberapa cocok model regresi dengan kumpulan data. Secara sederhana, ini mengukur deviasi standar residu dalam model regresi. Ini dihitung sebagai berikut: Kesalahan standar sisa = \u221a \u03a3(y \u2013 \u0177) 2 \/df Emas: y : Nilai yang diamati \u0177 : Nilai prediksi df: Derajat kebebasan, dihitung sebagai jumlah total observasi [&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 menafsirkan kesalahan standar sisa - Statorials<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara menafsirkan kesalahan standar sisa dalam model regresi, dengan sebuah 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\/bagaimana-menafsirkan-kesalahan-standar-sisa\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Bagaimana menafsirkan kesalahan standar sisa - Statorials\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara menafsirkan kesalahan standar sisa dalam model regresi, dengan sebuah contoh.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/bagaimana-menafsirkan-kesalahan-standar-sisa\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-25T06:08:27+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standarderrorestimate1.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=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/bagaimana-menafsirkan-kesalahan-standar-sisa\/\",\"url\":\"https:\/\/statorials.org\/id\/bagaimana-menafsirkan-kesalahan-standar-sisa\/\",\"name\":\"Bagaimana menafsirkan kesalahan standar sisa - Statorials\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-25T06:08:27+00:00\",\"dateModified\":\"2023-07-25T06:08:27+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara menafsirkan kesalahan standar sisa dalam model regresi, dengan sebuah contoh.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/bagaimana-menafsirkan-kesalahan-standar-sisa\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/bagaimana-menafsirkan-kesalahan-standar-sisa\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/bagaimana-menafsirkan-kesalahan-standar-sisa\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Bagaimana menafsirkan kesalahan standar sisa\"}]},{\"@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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