{"id":1027,"date":"2023-07-27T22:32:02","date_gmt":"2023-07-27T22:32:02","guid":{"rendered":"https:\/\/statorials.org\/id\/simpangan-baku-kelompok\/"},"modified":"2023-07-27T22:32:02","modified_gmt":"2023-07-27T22:32:02","slug":"simpangan-baku-kelompok","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/simpangan-baku-kelompok\/","title":{"rendered":"Cara menghitung deviasi standar tergugus (dengan contoh)"},"content":{"rendered":"<p><\/p>\n<hr>\n<p><span style=\"color: #000000;\"><strong>Deviasi standar gabungan<\/strong> hanyalah rata-rata tertimbang dari deviasi standar dua atau lebih kelompok independen.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Dalam statistik, hal ini paling sering muncul dalam <a href=\"https:\/\/statorials.org\/id\/uji-dua-sampel-anda\/\" target=\"_blank\" rel=\"noopener noreferrer\">uji-t dua sampel<\/a> , yang digunakan untuk menguji apakah rata-rata dua populasi sama atau tidak.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Rumus untuk menghitung simpangan baku berkerumun untuk dua kelompok adalah:<\/span><\/p>\n<p> <strong><span style=\"color: #000000;\">Simpangan baku gabungan = \u221a <span style=\"border-top: 1px solid black;\">(n <sub>1<\/sub> -1)s <sub>1<\/sub> <sup>2<\/sup> + (n <sub>2<\/sub> -1)s <sub>2<\/sub> <sup>2<\/sup> \/ (n <sub>1<\/sub> +n <sub>2<\/sub> -2)<\/span><\/span><\/strong><\/p>\n<p> <span style=\"color: #000000;\">Emas:<\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\"><strong><sub>n1<\/sub> , <sub>n2<\/sub> :<\/strong> Ukuran sampel masing-masing untuk kelompok 1 dan kelompok 2.<\/span><\/li>\n<li> <span style=\"color: #000000;\"><strong>s <sub>1<\/sub> , s <sub>2<\/sub> :<\/strong> Simpangan baku masing-masing untuk grup 1 dan grup 2.<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Perhatikan bahwa simpangan baku gabungan hanya boleh digunakan bila simpangan baku antara kedua kelompok dapat diasumsikan kira-kira sama.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan juga bahwa karena deviasi standar yang dikumpulkan adalah rata-rata tertimbang, maka akan memberikan lebih banyak &#8220;bobot&#8221; pada kelompok dengan ukuran sampel terbesar.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Contoh: Menghitung Deviasi Standar Gabungan<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Misalkan kita mempunyai dua kelompok berbeda dengan informasi berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\"><strong>Grup 1:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ukuran sampel (n <sub>1<\/sub> ): 15<\/span><\/li>\n<li> <span style=\"color: #000000;\">Standar deviasi sampel (s <sub>1<\/sub> ): 6.4<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\"><strong>Grup 2:<\/strong><\/span><\/p>\n<ul>\n<li> <span style=\"color: #000000;\">Ukuran sampel (n <sub>2<\/sub> ): 19<\/span><\/li>\n<li> <span style=\"color: #000000;\">Contoh simpangan baku (s <sub>2<\/sub> ): 8.2<\/span><\/li>\n<\/ul>\n<p> <span style=\"color: #000000;\">Kita dapat menghitung simpangan baku gabungan untuk kedua kelompok ini sebagai berikut:<\/span><\/p>\n<p> <span style=\"color: #000000;\">Simpangan baku gabungan = \u221a <span style=\"border-top: 1px solid black;\">(15-1)6,4 <sup>2<\/sup> + (19-1)8,2 <sup>2<\/sup> \/ (15+19-2)<\/span> = <strong>7,466<\/strong><\/span><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan bagaimana nilai deviasi standar cluster (7.466) berada di antara nilai deviasi standar cluster 1 (6.4) dan cluster 2 (8.2).<\/span><\/p>\n<p> <span style=\"color: #000000;\">Hal ini masuk akal mengingat simpangan baku yang dikumpulkan hanyalah rata-rata tertimbang antara kedua kelompok.<\/span><\/p>\n<h3> <span style=\"color: #000000;\"><strong>Bonus: Kalkulator Deviasi Standar Berkelompok<\/strong><\/span><\/h3>\n<p> <span style=\"color: #000000;\">Anda juga dapat menggunakan Kalkulator Deviasi Standar Gabungan untuk menghitung dengan cepat simpangan baku gabungan antara dua kelompok.<\/span><\/p>\n<p> <span style=\"color: #000000;\">Misalnya, kita dapat mengintegrasikan nilai dari contoh sebelumnya untuk mendapatkan simpangan baku gabungan yang sama dengan yang kita hitung secara manual:<\/span> <\/p>\n<p><img decoding=\"async\" loading=\"lazy\" class=\"aligncenter wp-image-10647\" src=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pooledcalc1.png\" alt=\"Kalkulator Deviasi Standar Berkelompok\" width=\"320\" height=\"413\" srcset=\"\" sizes=\"\"><\/p>\n<p> <span style=\"color: #000000;\">Perhatikan bahwa Anda juga dapat menggunakan opsi &#8220;Masukkan data mentah&#8221; pada kalkulator untuk memasukkan nilai data mentah untuk kedua grup dan menghitung deviasi standar gabungan dengan cara itu.<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Deviasi standar gabungan hanyalah rata-rata tertimbang dari deviasi standar dua atau lebih kelompok independen. Dalam statistik, hal ini paling sering muncul dalam uji-t dua sampel , yang digunakan untuk menguji apakah rata-rata dua populasi sama atau tidak. Rumus untuk menghitung simpangan baku berkerumun untuk dua kelompok adalah: Simpangan baku gabungan = \u221a (n 1 -1)s [&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 Deviasi Standar Tergugus (dengan Contoh)<\/title>\n<meta name=\"description\" content=\"Penjelasan sederhana cara menghitung simpangan baku berkerumun, beserta rumus 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\/simpangan-baku-kelompok\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Cara Menghitung Deviasi Standar Tergugus (dengan Contoh)\" \/>\n<meta property=\"og:description\" content=\"Penjelasan sederhana cara menghitung simpangan baku berkerumun, beserta rumus dan contohnya.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/simpangan-baku-kelompok\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-07-27T22:32:02+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/uploads\/2023\/08\/pooledcalc1.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=\"1 menit\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/statorials.org\/id\/simpangan-baku-kelompok\/\",\"url\":\"https:\/\/statorials.org\/id\/simpangan-baku-kelompok\/\",\"name\":\"Cara Menghitung Deviasi Standar Tergugus (dengan Contoh)\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-07-27T22:32:02+00:00\",\"dateModified\":\"2023-07-27T22:32:02+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Penjelasan sederhana cara menghitung simpangan baku berkerumun, beserta rumus dan contohnya.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/simpangan-baku-kelompok\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/simpangan-baku-kelompok\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/simpangan-baku-kelompok\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cara menghitung deviasi standar tergugus (dengan contoh)\"}]},{\"@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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