{"id":244,"date":"2023-08-03T17:24:22","date_gmt":"2023-08-03T17:24:22","guid":{"rendered":"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-varians\/"},"modified":"2023-08-03T17:24:22","modified_gmt":"2023-08-03T17:24:22","slug":"interval-kepercayaan-untuk-varians","status":"publish","type":"post","link":"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-varians\/","title":{"rendered":"Interval kepercayaan untuk varians"},"content":{"rendered":"<p>Artikel ini menjelaskan apa itu interval kepercayaan untuk varians dan kegunaannya dalam statistik. Demikian pula, Anda akan mempelajari cara menghitung interval kepercayaan varians dan latihan langkah demi langkah. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%c2%bfque-es-el-intervalo-de-confianza-para-la-varianza\"><\/span> Berapa interval kepercayaan untuk varians tersebut?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> <strong>Interval kepercayaan untuk varians<\/strong> adalah interval yang mendekati nilai-nilai di mana varians suatu populasi berada. Artinya, selang kepercayaan untuk varians menunjukkan nilai maksimum dan nilai minimum varians populasi untuk suatu tingkat kepercayaan.<\/p>\n<p> Misalnya, jika selang kepercayaan 95% untuk suatu varians populasi adalah (55,75), berarti varians populasinya berada di antara 55 dan 75 dengan probabilitas 95%.<\/p>\n<p> Oleh karena itu, selang kepercayaan untuk varians digunakan untuk memperkirakan dua nilai di mana letak varians populasi. Varians sampel dapat dihitung, tetapi varians populasi biasanya tidak diketahui, sehingga interval kepercayaan varians memungkinkan kita memperkirakan nilainya. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"formula-del-intervalo-de-confianza-para-la-varianza\"><\/span> Rumus interval kepercayaan untuk varians<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Untuk menghitung interval kepercayaan varians suatu populasi digunakan <a href=\"https:\/\/statorials.org\/id\/distribusi-chi-kuadrat\/\">distribusi chi-kuadrat<\/a> . Lebih spesifiknya, <strong>rumus menghitung interval kepercayaan varians<\/strong> adalah:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c81b971afee9691573e8400dc0945c37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( (n-1)\\frac{s^2}{\\chi_{n-1;\\alpha\/2}} \\ , \\ (n-1)\\frac{s^2}{\\chi_{n-1;1-\\alpha\/2}}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"304\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p style=\"margin-bottom:5px\"> Emas:<\/p>\n<ul style=\"color:#FF8A05; font-weight: bold;\">\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-ec4217f4fa5fcd92a9edceba0e708cf7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"n\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah ukuran sampel.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-1edc883862ceed1a21913f60358e31d8_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> adalah deviasi standar sampel.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-a1f2f5b5bd065f40d0b8c175d6d48950_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{n-1;\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"64\" style=\"vertical-align: -8px;\"><\/p>\n<p> adalah nilai distribusi Chi-kuadrat dengan derajat kebebasan n-1 untuk probabilitas kurang dari \u03b1\/2.<\/li>\n<li style=\"margin-bottom:5px\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-f1726e9973441084f7ac98c5550f1b23_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\chi_{n-1;1-\\alpha\/2}\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"82\" style=\"vertical-align: -8px;\"><\/p>\n<p> adalah nilai distribusi Chi-kuadrat dengan derajat kebebasan n-1 untuk probabilitas lebih besar dari 1-\u03b1\/2. <\/li>\n<\/ul>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"ejemplo-del-calculo-del-intervalo-de-confianza-para-la-varianza\"><\/span> Contoh penghitungan interval kepercayaan untuk varians<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Agar Anda dapat lebih memahami konsepnya, di bagian ini kami memberikan contoh penyelesaian tentang cara menghitung interval kepercayaan untuk varians.<\/p>\n<ul>\n<li> Kami memiliki sampel 8 observasi dengan nilai yang ditunjukkan di bawah ini. Berapa interval kepercayaan untuk varians populasi dengan tingkat kepercayaan 1-\u03b1=95%?<\/li>\n<\/ul>\n<p class=\"has-text-align-center\"> 206 203 201 212<br \/> 194 176 208 201<\/p>\n<p> Seperti yang telah dijelaskan di atas, rumus menentukan selang kepercayaan varians populasi adalah sebagai berikut:<\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c81b971afee9691573e8400dc0945c37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( (n-1)\\frac{s^2}{\\chi_{n-1;\\alpha\/2}} \\ , \\ (n-1)\\frac{s^2}{\\chi_{n-1;1-\\alpha\/2}}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"304\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p> Oleh karena itu, untuk mencari selang kepercayaan, pertama-tama kita harus menghitung simpangan baku sampel: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-0710aa65b2fb918489f96dbe762b9478_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"s=11,13\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"76\" style=\"vertical-align: -4px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/simpangan-baku-atau-simpangan-baku\/\">Cara menghitung simpangan baku<\/a><\/div>\n<p> Kedua, kita melihat tabel distribusi chi-kuadrat untuk melihat nilai-nilai terkait yang kita perlukan: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-b68ae2b68b8c4caabf162f13aa199c5a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\chi_{n-1;\\alpha\/2}= \\ \\color{orange}\\bm{?}\\\\[2ex]\\chi_{_{7;0,025}}=16,013\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"156\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-07baae9e30db85030d566f59b660a7f7_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\begin{array}{c}\\chi_{n-1;1-\\alpha\/2}= \\ \\color{orange}\\bm{?}\\\\[2ex]\\chi_{_{7;0,975}}=1,690\\end{array}\" title=\"Rendered by QuickLaTeX.com\" height=\"56\" width=\"174\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> Nilai tabel distribusi chi-kuadrat<\/div>\n<p> Jadi kita masukkan nilainya ke dalam rumus interval kepercayaan untuk varians dan lakukan perhitungan: <\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c81b971afee9691573e8400dc0945c37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( (n-1)\\frac{s^2}{\\chi_{n-1;\\alpha\/2}} \\ , \\ (n-1)\\frac{s^2}{\\chi_{n-1;1-\\alpha\/2}}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"47\" width=\"304\" style=\"vertical-align: -20px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-d9c72782ebf40d0fb3d0f63bd052c68b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( (8-1)\\frac{11,13^2}{16,013} \\ , \\ (8-1)\\frac{11,13^2}{1,690}\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"44\" width=\"257\" style=\"vertical-align: -17px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-6878d54e28345cc23afa271c4441948a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\left( 54,15 \\ , \\ 513,10\\right)\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"127\" style=\"vertical-align: -5px;\"><\/p>\n<\/p>\n<p> Kesimpulannya, varians populasi penelitian antara 54,15 dan 513,10 dengan tingkat kepercayaan 95%. <\/p>\n<div style=\"background-color:#FFFDE7; padding-top: 10px; padding-bottom: 10px; padding-right: 20px; padding-left: 30px; border: 2.5px dashed #FFB74D; border-radius:20px;\"> <span style=\"color:#ff951b\">\u27a4<\/span> <strong>Lihat:<\/strong> <a href=\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-mean\/\">Interval kepercayaan untuk mean<\/a><\/div>\n","protected":false},"excerpt":{"rendered":"<p>Artikel ini menjelaskan apa itu interval kepercayaan untuk varians dan kegunaannya dalam statistik. Demikian pula, Anda akan mempelajari cara menghitung interval kepercayaan varians dan latihan langkah demi langkah. Berapa interval kepercayaan untuk varians tersebut? Interval kepercayaan untuk varians adalah interval yang mendekati nilai-nilai di mana varians suatu populasi berada. Artinya, selang kepercayaan untuk varians menunjukkan [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.5 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 Interval kepercayaan untuk varians<\/title>\n<meta name=\"description\" content=\"Di sini Anda akan menemukan interval kepercayaan varians, cara menghitungnya (rumus), dan latihan penyelesaian 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\/interval-kepercayaan-untuk-varians\/\" \/>\n<meta property=\"og:locale\" content=\"id_ID\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 Interval kepercayaan untuk varians\" \/>\n<meta property=\"og:description\" content=\"Di sini Anda akan menemukan interval kepercayaan varians, cara menghitungnya (rumus), dan latihan penyelesaian langkah demi langkah.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-varians\/\" \/>\n<meta property=\"og:site_name\" content=\"Statorials\" \/>\n<meta property=\"article:published_time\" content=\"2023-08-03T17:24:22+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/statorials.org\/wp-content\/ql-cache\/quicklatex.com-c81b971afee9691573e8400dc0945c37_l3.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\/interval-kepercayaan-untuk-varians\/\",\"url\":\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-varians\/\",\"name\":\"\u25b7 Interval kepercayaan untuk varians\",\"isPartOf\":{\"@id\":\"https:\/\/statorials.org\/id\/#website\"},\"datePublished\":\"2023-08-03T17:24:22+00:00\",\"dateModified\":\"2023-08-03T17:24:22+00:00\",\"author\":{\"@id\":\"https:\/\/statorials.org\/id\/#\/schema\/person\/3d17a1160dd2d052b7c78e502cb9ec81\"},\"description\":\"Di sini Anda akan menemukan interval kepercayaan varians, cara menghitungnya (rumus), dan latihan penyelesaian langkah demi langkah.\",\"breadcrumb\":{\"@id\":\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-varians\/#breadcrumb\"},\"inLanguage\":\"id\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-varians\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/statorials.org\/id\/interval-kepercayaan-untuk-varians\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/statorials.org\/id\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Interval kepercayaan untuk varians\"}]},{\"@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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