{"id":934,"date":"2023-07-28T06:40:51","date_gmt":"2023-07-28T06:40:51","guid":{"rendered":"https:\/\/statorials.org\/id\/deviasi-standar-vs-kesalahan-standar\/"},"modified":"2023-07-28T06:40:51","modified_gmt":"2023-07-28T06:40:51","slug":"deviasi-standar-vs-kesalahan-standar","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/deviasi-standar-vs-kesalahan-standar\/","title":{"rendered":"Standar deviasi dan kesalahan standar: apa bedanya?"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\">Dua istilah yang sering membingungkan siswa dalam statistik adalah <strong>deviasi standar<\/strong> dan <strong>kesalahan standar<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Deviasi standar<\/strong> mengukur distribusi nilai dalam suatu kumpulan data.<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Kesalahan standar<\/strong> adalah simpangan baku dari rata-rata sampel yang diulang dari suatu populasi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Mari kita lihat sebuah contoh untuk mengilustrasikan gagasan ini dengan jelas.<\/span><\/p>\n<h2> <strong>Contoh: deviasi standar versus kesalahan standar<\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Misalkan kita mengukur berat 10 ekor penyu yang berbeda.<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9896 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standard_dev_vs_standard_error1.png\" alt=\"\" width=\"492\" height=\"122\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Untuk sampel 10 penyu ini, kita dapat menghitung mean sampel dan deviasi standar sampel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9899 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standard_dev_vs_standard_error2-1.png\" alt=\"\" width=\"492\" height=\"129\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Asumsikan standar deviasinya adalah 8,68. Hal ini memberi kita gambaran tentang distribusi bobot penyu tersebut.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Namun misalkan kita mengumpulkan <a href=\"https:\/\/statorials.org\/id\/metode-pengambilan-sampel\/\" target=\"_blank\" rel=\"noopener noreferrer\">sampel acak sederhana<\/a> lainnya yang terdiri dari 10 penyu dan melakukan pengukurannya juga.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Kemungkinan besar sampel 10 penyu ini akan mempunyai mean dan deviasi standar yang sedikit berbeda, meskipun mereka berasal dari populasi yang sama:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9900 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standard_dev_vs_standard_error3.png\" alt=\"\" width=\"498\" height=\"132\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Sekarang, jika kita bayangkan kita mengambil sampel berulang dari populasi yang sama dan mencatat mean sampel dan deviasi standar sampel untuk setiap sampel:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9901 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standard_dev_vs_standard_error4.png\" alt=\"\" width=\"492\" height=\"144\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Sekarang bayangkan kita memplot setiap mean sampel pada baris yang sama:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9902 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standard_dev_vs_standard_error5.png\" alt=\"\" width=\"480\" height=\"126\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\"><strong>Simpangan baku rata-rata ini disebut kesalahan baku.<\/strong><\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-9903 \" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standard_dev_vs_standard_error6.png\" alt=\"\" width=\"490\" height=\"117\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Rumus untuk menghitung kesalahan standar sebenarnya adalah:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Kesalahan standar = s\/ \u221a <span style=\"border-top: 1px solid black;\">n<\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong>s:<\/strong> deviasi standar sampel<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>n:<\/strong> ukuran sampel<\/span><\/li>\n<\/ul>\n<h2> <span style=\"color: #000000;\"><strong>Apa gunanya menggunakan kesalahan standar?<\/strong><\/span><\/h2>\n<p> <span style=\"color: #000000;\">Ketika kita menghitung rata-rata suatu sampel tertentu, kita sebenarnya tidak ingin mengetahui rata-rata sampel tertentu, melainkan rata-rata populasi yang lebih besar yang menjadi asal sampel tersebut.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Namun, kami menggunakan sampel karena lebih mudah mengumpulkan data untuk sampel tersebut dibandingkan untuk seluruh populasi.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dan tentu saja, mean sampel bervariasi dari satu sampel ke sampel lainnya, jadi kami menggunakan <strong>kesalahan standar mean<\/strong> sebagai cara untuk mengukur ketepatan estimasi mean kami.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Anda akan melihat dalam rumus untuk menghitung kesalahan standar bahwa seiring bertambahnya ukuran sampel (n), kesalahan standar berkurang:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Kesalahan standar = s\/ \u221a <span style=\"border-top: 1px solid black;\">n<\/span><\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Hal ini seharusnya masuk akal, karena sampel yang lebih besar mengurangi variabilitas dan meningkatkan kemungkinan rata-rata sampel kita mendekati rata-rata populasi sebenarnya.<\/span><\/p>\n<h2> <strong><span style=\"color: #000000;\">Kapan menggunakan deviasi standar versus kesalahan standar<\/span><\/strong><\/h2>\n<p> <span style=\"color: #000000;\">Jika kita hanya ingin mengukur distribusi nilai dalam suatu kumpulan data, kita dapat menggunakan <strong>standar deviasi<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Namun, jika kita ingin mengukur ketidakpastian di sekitar estimasi mean, kita dapat menggunakan <strong>kesalahan standar dari mean<\/strong> .<\/span><\/p>\n<p> <span style=\"color: #000000;\">Bergantung pada skenario spesifik Anda dan apa yang ingin Anda capai, Anda dapat memilih untuk menggunakan deviasi standar atau kesalahan standar.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Dua istilah yang sering membingungkan siswa dalam statistik adalah deviasi standar dan kesalahan standar . Deviasi standar mengukur distribusi nilai dalam suatu kumpulan data. Kesalahan standar adalah simpangan baku dari rata-rata sampel yang diulang dari suatu populasi. Mari kita lihat sebuah contoh untuk mengilustrasikan gagasan ini dengan jelas. Contoh: deviasi standar versus kesalahan standar Misalkan [&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>Standar deviasi dan kesalahan standar: apa bedanya?<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana tentang perbedaan standar deviasi dan standar error, beserta 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\/deviasi-standar-vs-kesalahan-standar\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Standar deviasi dan kesalahan standar: apa bedanya?\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana tentang perbedaan standar deviasi dan standar error, beserta contohnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/deviasi-standar-vs-kesalahan-standar\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-28T06:40:51+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/standard_dev_vs_standard_error1.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\/deviasi-standar-vs-kesalahan-standar\/\",\"url\":\"https:\/\/statorials.org\/id\/deviasi-standar-vs-kesalahan-standar\/\",\"name\":\"Standar deviasi dan kesalahan standar: apa bedanya?\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-28T06:40:51+00:00\",\"dateModified\":\"2023-07-28T06:40:51+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana tentang perbedaan standar deviasi dan standar error, beserta contohnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/deviasi-standar-vs-kesalahan-standar\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/deviasi-standar-vs-kesalahan-standar\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/deviasi-standar-vs-kesalahan-standar\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Standar deviasi dan kesalahan standar: apa bedanya?\"}]},{\"@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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