{"id":1274,"date":"2023-07-27T01:33:14","date_gmt":"2023-07-27T01:33:14","guid":{"rendered":"https:\/\/statorials.org\/id\/leverage-di-sungai\/"},"modified":"2023-07-27T01:33:14","modified_gmt":"2023-07-27T01:33:14","slug":"leverage-di-sungai","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/leverage-di-sungai\/","title":{"rendered":"Cara menghitung statistik leverage di r"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dalam statistik, suatu <a href=\"https:\/\/statorials.org\/id\/pengamatan-dalam-statistik\/\" target=\"_blank\" rel=\"noopener\">observasi<\/a> dianggap <strong>outlier<\/strong> jika nilainya untuk variabel respon jauh lebih besar dibandingkan observasi lainnya dalam kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Demikian pula, suatu observasi dianggap <strong>leverage<\/strong> tinggi jika memiliki satu atau lebih nilai variabel prediktor yang jauh lebih ekstrim dibandingkan dengan observasi lainnya dalam kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Salah satu langkah pertama dalam jenis analisis apa pun adalah melihat lebih dekat observasi yang memiliki leverage tinggi, karena observasi tersebut dapat berdampak besar pada hasil model tertentu.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Tutorial ini menunjukkan contoh langkah demi langkah tentang cara menghitung dan memvisualisasikan leverage untuk setiap observasi dalam model di R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Langkah 1: Buat model regresi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Pertama, kita akan membuat <a href=\"https:\/\/statorials.org\/id\/regresi-linier-berganda-r\/\" target=\"_blank\" rel=\"noopener\">model regresi linier berganda<\/a> menggunakan kumpulan data <strong>mtcars<\/strong> yang ada di R:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#load the dataset<\/span>\ndata(mtcars)\n\n<span style=\"color: #008080;\">#fit a regression model<\/span>\nmodel &lt;- lm(mpg~disp+hp, data=mtcars)\n\n<span style=\"color: #008080;\">#view model summary\n<\/span>summary(model)\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: 3.127 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\n<\/strong><\/pre>\n<h3> <span style=\"color: #000000;\"><strong>Langkah 2: Hitung leverage untuk setiap observasi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Selanjutnya, kita akan menggunakan fungsi <strong>hatvalues()<\/strong> untuk menghitung leverage untuk setiap observasi dalam model:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#calculate leverage for each observation in the model\n<\/span>hats &lt;- <span style=\"color: #3366ff;\">as<\/span> . <span style=\"color: #3366ff;\">data<\/span> . <span style=\"color: #3366ff;\">frame<\/span> (hatvalues(model))\n\n<span style=\"color: #008080;\">#display leverage stats for each observation\n<\/span>hats\n\n                    hatvalues(model)\nMazda RX4 0.04235795\nMazda RX4 Wag 0.04235795\nDatsun 710 0.06287776\nHornet 4 Drive 0.07614472\nHornet Sportabout 0.08097817\nValiant 0.05945972\nDuster 360 0.09828955\nMerc 240D 0.08816960\nMerc 230 0.05102253\nMerc 280 0.03990060\nMerc 280C 0.03990060\nMerc 450SE 0.03890159\nMerc 450SL 0.03890159\nMerc 450SLC 0.03890159\nCadillac Fleetwood 0.19443875\nLincoln Continental 0.16042361\nChrysler Imperial 0.12447530\nFiat 128 0.08346304\nHonda Civic 0.09493784\nToyota Corolla 0.08732818\nToyota Corona 0.05697867\nDodge Challenger 0.06954069\nAMC Javelin 0.05767659\nCamaro Z28 0.10011654\nPontiac Firebird 0.12979822\nFiat X1-9 0.08334018\nPorsche 914-2 0.05785170\nLotus Europa 0.08193899\nFord Pantera L 0.13831817\nFerrari Dino 0.12608583\nMaserati Bora 0.49663919\nVolvo 142E 0.05848459\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Biasanya, kita melihat lebih dekat observasi dengan nilai leverage lebih besar dari 2.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Cara sederhana untuk melakukannya adalah dengan mengurutkan observasi berdasarkan nilai leverage, dalam urutan menurun:<\/span><\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#sort observations by leverage, descending<\/span>\nhats[ <span style=\"color: #3366ff;\">order<\/span> (-hats[' <span style=\"color: #008000;\">hatvalues(model)<\/span> ']), ]\n\n [1] 0.49663919 0.19443875 0.16042361 0.13831817 0.12979822 0.12608583\n [7] 0.12447530 0.10011654 0.09828955 0.09493784 0.08816960 0.08732818\n[13] 0.08346304 0.08334018 0.08193899 0.08097817 0.07614472 0.06954069\n[19] 0.06287776 0.05945972 0.05848459 0.05785170 0.05767659 0.05697867\n[25] 0.05102253 0.04235795 0.04235795 0.03990060 0.03990060 0.03890159\n[31] 0.03890159 0.03890159\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Terlihat nilai leverage tertinggi sebesar <strong>0.4966<\/strong> . Karena angka ini tidak lebih besar dari 2, kami tahu bahwa tidak ada observasi dalam kumpulan data kami yang memiliki leverage tinggi.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Langkah 3: Visualisasikan leverage untuk setiap observasi<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Terakhir, kita dapat membuat bagan singkat untuk memvisualisasikan leverage untuk setiap observasi:<\/span> <\/p>\n<pre style=\"background-color: #e5e5e5; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#plot leverage values for each observation<\/span>\nplot(hatvalues(model), type = ' <span style=\"color: #008000;\">h<\/span> ')\n<\/strong><\/pre>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-12536 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/effet-de-levier1.png\" alt=\"leverage di R\" width=\"414\" height=\"380\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Sumbu x menampilkan indeks setiap observasi dalam kumpulan data dan nilai y menampilkan statistik leverage yang sesuai untuk setiap observasi.<\/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>Dalam statistik, suatu observasi dianggap outlier jika nilainya untuk variabel respon jauh lebih besar dibandingkan observasi lainnya dalam kumpulan data. Demikian pula, suatu observasi dianggap leverage tinggi jika memiliki satu atau lebih nilai variabel prediktor yang jauh lebih ekstrim dibandingkan dengan observasi lainnya dalam kumpulan data. Salah satu langkah pertama dalam jenis analisis apa pun [&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 statistik leverage di R<\/title>\n<meta name=\"description\" content=\"Tutorial ini menjelaskan cara menghitung statistik leverage di R, termasuk contoh langkah demi langkah.\" \/>\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\/leverage-di-sungai\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara menghitung statistik leverage di R\" \/>\n<meta property=\"og:description\" content=\"Tutorial ini menjelaskan cara menghitung statistik leverage di R, termasuk contoh langkah demi langkah.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/leverage-di-sungai\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T01:33:14+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/effet-de-levier1.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\/leverage-di-sungai\/\",\"url\":\"https:\/\/statorials.org\/id\/leverage-di-sungai\/\",\"name\":\"Cara menghitung statistik leverage di R\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-27T01:33:14+00:00\",\"dateModified\":\"2023-07-27T01:33:14+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Tutorial ini menjelaskan cara menghitung statistik leverage di R, termasuk contoh langkah demi langkah.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/leverage-di-sungai\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/leverage-di-sungai\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/leverage-di-sungai\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara menghitung statistik leverage 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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