{"id":1037,"date":"2023-07-27T21:42:44","date_gmt":"2023-07-27T21:42:44","guid":{"rendered":"https:\/\/statorials.org\/id\/statistik-pers\/"},"modified":"2023-07-27T21:42:44","modified_gmt":"2023-07-27T21:42:44","slug":"statistik-pers","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/statistik-pers\/","title":{"rendered":"Apa yang dimaksud dengan statistik pers?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dalam statistik, kami menyesuaikan <a href=\"https:\/\/statorials.org\/id\/regresi-linier-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">model regresi<\/a> karena dua alasan:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(1)<\/strong> <em>Menjelaskan<\/em> hubungan antara satu atau lebih <a href=\"https:\/\/statorials.org\/id\/variabel-tanggapan-penjelas\/\" target=\"_blank\" rel=\"noopener noreferrer\">variabel penjelas<\/a> dan suatu <a href=\"https:\/\/statorials.org\/id\/variabel-tanggapan-penjelas\/\" target=\"_blank\" rel=\"noopener noreferrer\">variabel respon<\/a> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>(2)<\/strong> <em>Memprediksi<\/em> nilai suatu variabel respon berdasarkan nilai dari satu atau lebih variabel penjelas.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ketika tujuan kami adalah <strong>(2)<\/strong> <em>memprediksi<\/em> nilai variabel respons, kami ingin memastikan bahwa kami menggunakan model regresi terbaik untuk melakukannya.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Salah satu metrik yang dapat kita gunakan untuk menemukan model regresi yang akan membuat prediksi terbaik pada data baru adalah <strong>statistik PRESS<\/strong> , yang merupakan singkatan dari \u201c <strong>prediksi<\/strong> <strong>jumlah<\/strong> <strong>sisa<\/strong> <strong>kuadrat<\/strong> \u201d.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Ini dihitung sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>TEKAN = \u03a3(e <sub>i<\/sub> \/ (1-h <sub>ii<\/sub> )) <sup>2<\/sup><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>e <sub>i<\/sub> :<\/strong> Residu <sup>ke<\/sup> -i.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>h <sub>ii<\/sub> :<\/strong> Ukuran pengaruh (juga disebut \u201cleverage\u201d) observasi <sup>ke-i<\/sup> terhadap kesesuaian model.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Dengan adanya beberapa model regresi, model dengan PRESS terendah harus dipilih sebagai model yang memiliki kinerja terbaik pada kumpulan data baru.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Contoh berikut menunjukkan cara menghitung statistik PRESS untuk tiga model regresi linier berbeda di R.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: Perhitungan statistik PRESS<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita mempunyai kumpulan data dengan tiga variabel penjelas, <sub>x1<\/sub> , <sub>x2<\/sub> dan <sub>x3<\/sub> , dan variabel respon y:<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>data &lt;- <span style=\"color: #3366ff;\">data.frame<\/span> (x1 = c(2, 3, 3, 4, 4, 6, 8, 9, 9, 9),\n                   x2 = c(2, 2, 3, 3, 2, 3, 5, 6, 6, 7),\n                   x3 = c(12, 14, 14, 13, 8, 8, 9, 14, 11, 7),\n                    y = c(23, 24, 15, 9, 14, 17, 22, 26, 34, 35))\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Kode berikut menunjukkan cara menyesuaikan tiga model regresi berbeda ke kumpulan data ini menggunakan fungsi <strong>lm()<\/strong> :<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong>model1 &lt;- lm(y~x1, data=data)\n\nmodel2 &lt;- lm(y~x1+x2, data=data)\n\nmodel3 &lt;- lm(y~x2+x3, data=data)\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Kode berikut menunjukkan cara menghitung statistik PRESS untuk setiap model.<\/span><\/p>\n<pre style=\"background-color: #ececec; font-size: 15px;\"> <strong><span style=\"color: #008080;\">#create custom function to calculate the PRESS statistic<\/span>\nPRESS &lt;- <span style=\"color: #008000;\">function<\/span> (model) {\n    i &lt;- <span style=\"color: #3366ff;\">residuals<\/span> (model)\/(1 - lm. <span style=\"color: #3366ff;\">influence<\/span> (model)$ <span style=\"color: #3366ff;\">hat<\/span> )\n    sum(i^2)\n}\n\n<span style=\"color: #008080;\">#calculate PRESS for model 1<\/span>\nPRESS(model1)\n\n[1] 590.2197\n\n<span style=\"color: #008080;\">#calculate PRESS for model 2<\/span>\nPRESS(model2)\n\n[1] 519.6435\n\n<span style=\"color: #008080;\">#calculate PRESS for model 3<\/span>\nPRESS(model3)\n\n[1] 537.7503\n<\/strong><\/pre>\n<p> <span style=\"color: #000000;\">Ternyata model dengan statistik PRESS terendah adalah Model 2 dengan statistik PRESS sebesar <strong>519.6435<\/strong> . Oleh karena itu, kami akan memilih model ini yang paling cocok untuk membuat prediksi pada kumpulan data baru.<\/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-1\/\" target=\"_blank\" rel=\"noopener noreferrer\">Pengantar Regresi Linier Sederhana<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/model-pelit\/\" target=\"_blank\" rel=\"noopener noreferrer\">Apa yang dimaksud dengan model pelit?<\/a><br \/> <a href=\"https:\/\/statorials.org\/id\/nilai-r-kuadrat-yang-bagus\/\" target=\"_blank\" rel=\"noopener noreferrer\">Berapa nilai R-kuadrat yang bagus?<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dalam statistik, kami menyesuaikan model regresi karena dua alasan: (1) Menjelaskan hubungan antara satu atau lebih variabel penjelas dan suatu variabel respon . (2) Memprediksi nilai suatu variabel respon berdasarkan nilai dari satu atau lebih variabel penjelas. Ketika tujuan kami adalah (2) memprediksi nilai variabel respons, kami ingin memastikan bahwa kami menggunakan model regresi terbaik [&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>Apa yang dimaksud dengan statistik PERS? - Statorial<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana tentang statistik PRESS, termasuk definisi formal dan contohnya.\" \/>\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\/statistik-pers\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Apa yang dimaksud dengan statistik PERS? - Statorial\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana tentang statistik PRESS, termasuk definisi formal dan contohnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/statistik-pers\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T21:42:44+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=\"2 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/statistik-pers\/\",\"url\":\"https:\/\/statorials.org\/id\/statistik-pers\/\",\"name\":\"Apa yang dimaksud dengan statistik PERS? - Statorial\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-27T21:42:44+00:00\",\"dateModified\":\"2023-07-27T21:42:44+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana tentang statistik PRESS, termasuk definisi formal dan contohnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/statistik-pers\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/statistik-pers\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/statistik-pers\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Apa yang dimaksud dengan statistik pers?\"}]},{\"@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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